Last update:
Thu Apr 11 08:24:54 MDT 2024
Joe F. Thompson A survey of dynamically-adaptive grids
in the numerical solution of partial
differential equations . . . . . . . . . 3--27
George D. Byrne and
Alan C. Hindmarsh Experiments in Numerical Methods for a
Problem in Combustion Modeling . . . . . 29--57
U. Nowak and
P. Deuflhard Numerical Identification of Selected
Rate Constants in Large Chemical
Reaction Systems . . . . . . . . . . . . 59--75
George C. Hsiao and
Rainer Kress On an integral equation for the
two-dimensional exterior Stokes problem 77--93
Lawrence F. Shampine The step sizes used by one-step codes
for ODEs . . . . . . . . . . . . . . . . 95--106
L. F. Shampine Measuring stiffness . . . . . . . . . . 107--119
E. Stephan and
W. L. Wendland An augmented Galerkin procedure for the
boundary integral method applied to
mixed boundary value problems . . . . . 121--143
Hans-Jürgen Reinhardt A Posteriori Error Estimation for Finite
Element Modifications of Line Methods
Applied to Singularly Perturbed Partial
Differential Equations . . . . . . . . . 145--176
Zahari Zlatev General scheme for solving linear
algebraic problems by direct methods . . 177--186
J. J. Monaghan and
H. Pongracic Artificial Viscosity for Particle
Methods . . . . . . . . . . . . . . . . 187--194
J. R. Cash and
N. Lambrou Blended extended linear multistep
methods for the accurate numerical
integration of stiff initial value
problems . . . . . . . . . . . . . . . . 195--216
G. Q. Xie and
Y. M. Chen A modified pulse-spectrum technique for
solving inverse problems of
two-dimensional elastic wave equation 217--237
William L. Briggs Phenomenology of a six-dimensional
mapping . . . . . . . . . . . . . . . . 239--259
Thom Potempa Improved Implementation of the McCracken
and Yanosik Nine Point Finite Difference
Procedure . . . . . . . . . . . . . . . 261--272
J. C. Butcher General linear methods: a survey . . . . 273--284
M. Dryja and
W. Proskurowski Capacitance matrix method using strips
with alternating Neumann and Dirichlet
boundary conditions . . . . . . . . . . 285--298
René Alt Computing roots of polynomials on vector
processing machines . . . . . . . . . . 299--308
Ludwig Wagatha On boundary conditions for the numerical
simulation of wave propagation . . . . . 309--314
L. Galeone and
C. Mastroserio Stability of the Numerical Solution of
the Periodic Reaction Diffusion Systems 315--324
J.-M. Dolique and
J.-R. Roche and
F. Chatelin Multifluid Numerical Simulation of
Secondary Plasma and Electromagnetic
Field Generated in Atmosphere by a High
Power Relativistic Electron Beam . . . . 325--337
Mohamed M. Hafez and
Timothy N. Phillips A modified least squares formulation for
a system of first-order equations . . . 339--347
J.-P. Faye and
J. Vignes Stochastic approach of the
permutation-perturbation method for
round-off error analysis . . . . . . . . 349--362
Kevin Burrage Order and stability properties of
explicit multivalue methods . . . . . . 363--379
M. A. Kelmanson A consistency analysis for the numerical
solution of boundary integral equations 381--393
Zahari Zlatev Variable stepsize variable formula
methods based on predictor-corrector
schemes . . . . . . . . . . . . . . . . 395--416
Dennis C. Jespersen Enthalpy damping for the steady Euler
equations . . . . . . . . . . . . . . . 417--432
Masao Igarashi Practical problems arising for finding
roots of nonlinear equations . . . . . . 433--455
Claude Brezinski Prediction properties of some
extrapolation methods . . . . . . . . . 457--462
M. D. Smooke and
R. M. M. Mattheij On the Solution of Nonlinear Two-Point
Boundary Value Problems on Successively
Refined Grids . . . . . . . . . . . . . 463--487
Randolph E. Bank and
Craig C. Douglas An efficient implementation for SSOR and
incomplete factorization
preconditionings . . . . . . . . . . . . 489--492
James H. Bramble and
Joseph E. Pasciak A boundary parametric approximation to
the linearized scalar potential
magnetostatic field problem . . . . . . 493--514
Ronald G. Rehm and
P. Darcy Barnett and
Howard R. Baum and
Daniel M. Corley Finite Difference Calculations of
Buoyant Convection in an Enclosure:
Verification of the Nonlinear Algorithm 515--529
A. Berlinet Sequence transformations as statistical
tools . . . . . . . . . . . . . . . . . 531--544
C. Brezinski and
A. Lembarki Acceleration of extended Fibonacci
sequences . . . . . . . . . . . . . . . 1--8
Wei Shyy An adaptive grid method for
Navier-Stokes flow computation. II. Grid
addition . . . . . . . . . . . . . . . . 9--19
Barry Karl Likeness and
Arthur David Snider Efficient optimization of certain
functionals in a hypercube . . . . . . . 21--27
S. I. Hariharan and
R. C. Maccamy Low frequency acoustic and
electromagnetic scattering . . . . . . . 29--35
V. Ramírez and
J. Lorente $ {C}^1 $ rational quadratic spline
interpolation to convex data . . . . . . 37--42
C. Schmidt-Lainé and
D. Jeandel A least squares formulation of
one-dimensional turbulence models . . . 43--56
B. P. Sommeijer On the economization of explicit
Runge--Kutta methods . . . . . . . . . . 57--68
B. P. Sommeijer and
P. J. van der Houwen and
B. Neta Symmetric linear multistep methods for
second-order differential equations with
periodic solutions . . . . . . . . . . . 69--77
Henry Power and
Reinaldo García and
Guillermo Miranda Integral Equation Solution for the Flow
Due to the Motion of a Body of Arbitrary
Shape Near a Plane Interface at Small
Reynolds Number . . . . . . . . . . . . 79--94
Mich\`ele G. Macaraeg and
Craig L. Streett Improvements in spectral collocation
discretization through a multiple domain
technique . . . . . . . . . . . . . . . 95--108
M. Berzins A $ {C^1} $ interpolant for codes based
on backward differentiation formulae . . 109--118
R. M. M. Mattheij On computing smooth solutions of
problems with large Lipschitz constants 119--134
I. M. Longman The summation of series . . . . . . . . 135--141
Jeannette van Iseghem An extended cross rule for vector Padé
approximants . . . . . . . . . . . . . . 143--155
Gunilla Kreiss and
Heinz-Otto Kreiss Convergence to steady state of solutions
of Burgers' equation . . . . . . . . . . 161--179
Jerry C. South, Jr. and
Mohamed M. Hafez and
David Gottlieb Stability analysis of intermediate
boundary conditions in approximate
factorization schemes . . . . . . . . . 181--192
M. D. Salas and
S. Abarbanel and
David Gottlieb Multiple steady states for
characteristic initial value problems 193--210
Eitan Tadmor A minimum entropy principle in the gas
dynamics equations . . . . . . . . . . . 211--219
David A. Kopriva A spectral multidomain method for the
solution of hyperbolic systems . . . . . 221--241
M. D. Gunzburger and
R. A. Nicolaides On substructuring algorithms and
solution techniques for the numerical
approximation of partial differential
equations . . . . . . . . . . . . . . . 243--256
Zhong-hua Yang and
H. B. Keller Multiple Laminar Flows Through Curved
Pipes . . . . . . . . . . . . . . . . . 257--271
Nessan Mac Giolla Mhuiris Calculations of the Stability of Some
Axisymmetric Flows Proposed as a Model
of Vortex Breakdown . . . . . . . . . . 273--290
M. Hafez and
G. Kuruvila and
M. D. Salas Numerical Study of Vortex Breakdown . . 291--302
Shlomo Ta'Asan Multigrid Method for a Vortex Breakdown
Simulation . . . . . . . . . . . . . . . 303--311
R. A. Nicolaides Construction of higher order accurate
vortex and particle methods . . . . . . 313--320
R. C. Swanson and
E. Turkel Pseudo-Time Algorithms for the
Navier--Stokes Equations . . . . . . . . 321--333
Antony Jameson and
Peter D. Lax Conditions for the construction of
multipoint total variation diminishing
difference schemes . . . . . . . . . . . 335--345
Ami Harten and
Stanley Osher and
Björn Engquist and
Sukumar R. Chakravarthy Some results on uniformly high-order
accurate essentially nonoscillatory
schemes . . . . . . . . . . . . . . . . 347--377
Bram van Leer On numerical dispersion by upwind
differencing . . . . . . . . . . . . . . 379--384
Blair K. Swartz and
Burton Wendroff AZTEC: a front tracking code based on
Godunov's method . . . . . . . . . . . . 385--397
T. F. Chen and
G. J. Fix Least Squares Finite Element Simulation
of Transonic Flows . . . . . . . . . . . 399--408
Charles I. Goldstein The weak element method applied to
Helmholtz type equations . . . . . . . . 409--426
Peter R. Eiseman Local Redistribution of Points Along
Curves for Numerical Grid Generation . . 427--437
Thomas H. Pulliam Implicit solution methods in
computational fluid dynamics . . . . . . 441--474
P. W. Hemker and
S. P. Spekreijse Multiple grid and Osher's scheme for the
efficient solution of the steady Euler
equations . . . . . . . . . . . . . . . 475--493
M. J. Baines and
A. J. Wathen Moving Finite Element Modelling of
Compressible Flow . . . . . . . . . . . 495--514
Timothy J. Baker Mesh Generation by a Sequence of
Transformations . . . . . . . . . . . . 515--528
Eli Turkel Accuracy of schemes with nonuniform
meshes for compressible fluid flows . . 529--550
Anonymous Editorial board . . . . . . . . . . . . ii
Robert Vichnevetsky Foreword . . . . . . . . . . . . . . . . 1--2
Garrett Birkhoff Sound waves in fluids . . . . . . . . . 3--24
William F. Ames and
Ding Lee Current Development in the Numerical
Treatment of Ocean Acoustic Propagation 25--47
P. R. Garabedian Aspects of Supercritical Wing Theory . . 49--57
Mogens V. Melander and
Edward A. Overman II and
Norman J. Zabusky Computational Vortex Dynamics in Two and
Three Dimensions . . . . . . . . . . . . 59--80
Tony F. Chan and
Youcef Saad and
Martin H. Schultz Solving elliptic partial differential
equations on the hypercube
multiprocessor . . . . . . . . . . . . . 81--88
Allan R. Robinson and
Leonard J. Walstad The Harvard open ocean model:
calibration and application to dynamical
process, forecasting, and data
assimilation studies . . . . . . . . . . 89--131
Robert Vichnevetsky Wave propagation and reflection in
irregular grids for hyperbolic equations 133--166
Karl Gustafson Vortex separation and fine structure
dynamics . . . . . . . . . . . . . . . . 167--182
J. H. M. ten Thije Boonkkamp and
J. G. Verwer On the odd-even hopscotch scheme for the
numerical integration of time-dependent
partial differential equations . . . . . 183--193
T. D. Bui and
A. K. Oppenheim Evaluation of Wind Effects on Model
Buildings by the Random Vortex Method 195--207
N. G. Zamani and
S. H. Woodside Algorithm for Imposing the Circulation
Constraint in a Finite Element Code . . 209--213
M. Gasca and
G. Mühlbach Generalized Schur-complements and a test
for total positivity . . . . . . . . . . 215--232
Siegfried M. Rump Solution of linear systems with verified
accuracy . . . . . . . . . . . . . . . . 233--241
E. Hairer and
P. Maass Numerical methods for singular nonlinear
integro-differential equations . . . . . 243--256
Hartmut Schwandt Interval arithmetic methods for systems
of nonlinear equations arising from
discretizations of quasilinear elliptic
and parabolic partial differential
equations . . . . . . . . . . . . . . . 257--287
Anonymous Conditions for the construction of
multi-point total variation diminishing
difference schemes: by A. Jameson and
P.D. Lax [ Applied Numerical Mathematics
2 (3-5) (1986) 335-345] . . . . . . . . 289--289
A. Jameson and
P. D. Lax Corrigendum: ``Conditions for the
construction of multipoint total
variation diminishing difference
schemes'' . . . . . . . . . . . . . . . 289--289
Ayse Alaylioglu and
H. Alaylioglu A general purpose finite element system
code via computationally effective
hybrid formulation . . . . . . . . . . . 291--303
Toshiyuki Takagi and
Kazuyoshi Miki and
Hiroki Sano New Approach to Electron Beam Analysis
Using a Domain Decomposition and
Overlapping Method in a
Three-Dimensional Boundary-Fitted
Coordinate System . . . . . . . . . . . 305--316
Zdzis\law Jackiewicz Variable-Step Variable-Order Algorithm
for the Numerical Solution of Neutral
Functional Differential Equations . . . 317--329
L. F. Shampine Starting variable-order Adams and BDF
codes . . . . . . . . . . . . . . . . . 331--337
Dianne P. O'Leary A note on the capacitance matrix
algorithm, substructuring, and mixed or
Neumann boundary conditions . . . . . . 339--345
Linda R. Petzold Observations on an Adaptive Moving Grid
Method for One-Dimensional Systems of
Partial Differential Equations . . . . . 347--360
J. G. Blom and
J. H. M. ten Thije Boonkkamp and
J. G. Verwer Corrigendum: ``On the odd-even hopscotch
scheme for the numerical integration of
time-dependent partial differential
equations'' [Appl. Numer.\ Math. \bf 3
(1987), no. 1, 183--193] by J. H. M. ten
Thije Boonkkamp and J. G. Verwer . . . . 361--362
Yair Censor and
Gabor T. Herman On some optimization techniques in image
reconstruction from projections . . . . 365--391
L. T. Biegler Process Flowsheet Optimization
Strategies: Recent Results and Future
Directions . . . . . . . . . . . . . . . 393--408
Ashwani Kumar and
Angelo Lucia Separation process optimization
calculations . . . . . . . . . . . . . . 409--425
John M. Mulvey and
Stavros A. Zenios Real-Time Operational Planning for the
U. S. Air Traffic System . . . . . . . . 427--441
R. J. Hanson On the constrained linear least-squares
problem: a personal view . . . . . . . . 443--452
Michael Minkoff Approaches to optimization/simulation
problems . . . . . . . . . . . . . . . . 453--466
J. I. Frankel and
Brian Vick An exact methodology for solving
nonlinear diffusion equations based on
integral transforms . . . . . . . . . . 467--477
C. Y. Loh and
H. Rasmussen A numerical procedure for viscous free
surface flows . . . . . . . . . . . . . 479--495
Shigekatsu Arioka Padé-type approximants in multivariables 497--511
Timothy N. Phillips The smoothing properties of the
alternating direction implicit method in
multigrid iterations . . . . . . . . . . 513--522
Paolo Lepora and
Bruno Gabutti An algorithm for the summation of series 523--528
Jeannette van Iseghem Laplace transform inversion and Padé-type
approximants . . . . . . . . . . . . . . 529--538
Roger C. E. Tan Computing derivatives of eigensystems by
the topological $ \epsilon $-algorithm 539--550
Bertil Gustafsson Inhomogeneous Conditions at Open
Boundaries for Wave Propagation Problems 3--19
Björn Engquist and
Laurence Halpern Far field boundary conditions for
computation over long time . . . . . . . 21--45
G. L. Wojcik and
D. K. Vaughan and
M. Barenberg and
J. Mould Large-Scale, Explicit Wave Simulations
on the Cray-2 . . . . . . . . . . . . . 47--70
C. M. Sorauf and
J. A. Rial Numerical Study of Caustics and
Polarizations of Seismic Waves
Interacting with the Three-Dimensional
Geological Structures . . . . . . . . . 71--81
Y. M. Chen Parallelism by hierarchy of GPST
inversion algorithm for elastic wave
equation . . . . . . . . . . . . . . . . 83--95
V. Pereyra Numerical Methods for Inverse Problems
in Three-Dimensional Geophysical
Modeling . . . . . . . . . . . . . . . . 97--139
William B. Jones and
W. J. Thron Continued fractions in numerical
analysis . . . . . . . . . . . . . . . . 143--230
Claude Brezinski On the asymptotic behaviour of continued
fractions . . . . . . . . . . . . . . . 231--239
S. Clement Cooper and
William B. Jones and
Arne Magnus General $ {T}$-fraction expansions for
ratios of hypergeometric functions . . . 241--251
Annie A. M. Cuyt and
Lisa Jacobsen and
Brigitte M. Verdonk Instability and modification of Thiele
interpolating continued fractions . . . 253--262
Annie A. M. Cuyt and
Brigitte M. Verdonk A review of branched continued fraction
theory for the construction of
multivariate rational approximants . . . 263--271
Paolo Giannozzi and
Giuseppe Grosso and
Saverio Moroni and
Giuseppe Pastori Parravicini The ordinary and matrix continued
fractions in the theoretical analysis of
Hermitian and relaxation operators . . . 273--295
John Gill Limit periodic iteration . . . . . . . . 297--308
A. Hautot Convergence acceleration of continued
fractions of Poincaré type . . . . . . . 309--322
Lisa Jacobsen Meromorphic continuation of functions
given by limit $k$-periodic continued
fractions . . . . . . . . . . . . . . . 323--336
Alami Lembarki Convergence acceleration of limit
$k$-periodic continued fractions . . . . 337--349
Olav Njåstad Solution of the strong Hamburger moment
problem by Laurent continued fractions 351--360
Haakon Waadeland Computation of continued fractions by
square-root modification: reflections
and examples . . . . . . . . . . . . . . 361--375
P. A. Forsyth, Jr. and
P. H. Sammon Quadratic convergence for cell-centered
grids . . . . . . . . . . . . . . . . . 377--394
Heinz W. Engl and
Helmut Gfrerer A posteriori parameter choice for
general regularization methods for
solving linear ill-posed problems . . . 395--417
Takeo Ojika A numerical method for branch points of
a system of nonlinear algebraic
equations . . . . . . . . . . . . . . . 419--430
I. M. Longman A note on the summation of power series 431--437
E. D. De Goede Stabilization of the Lax--Wendroff
Method and a Generalized One-Step
Runge--Kutta Method for Hyperbolic
Initial-Value Problems . . . . . . . . . 439--453
M. Aguilar and
H. Brunner Collocation methods for second-order
Volterra integro-differential equations 455--470
A. M. Cohen and
I. M. Longman The summation of power series having
positive coefficients . . . . . . . . . 471--476
William F. Ford and
Avram Sidi Recursive algorithms for vector
extrapolation methods . . . . . . . . . 477--489
S. I. Hariharan and
P. K. Dutt Acoustic gravity waves: a computational
approach . . . . . . . . . . . . . . . . 491--506
A. Neubauer An a posteriori parameter choice for
Tikhonov regularization in the presence
of modeling error . . . . . . . . . . . 507--519
P. L. Schuck and
H. Rasmussen Numerical solution of a subsidence mound
problem in a porous medium . . . . . . . 521--546
J. C. Butcher and
J. R. Cash Some recent developments on numerical
initial value problems: a survey . . . . 3--18
Claudio Baiocchi and
Michel Crouzeix On the equivalence of $ {A}$-stability
and $ {G}$-stability . . . . . . . . . . 19--22
K. Burrage and
F. H. Chipman Efficiently implementable multivalue
methods for solving stiff ordinary
differential equations. Recent
theoretical results in numerical
ordinary differential equations . . . . 23--40
G. J. Cooper Error bounding functions for
Runge--Kutta methods . . . . . . . . . . 41--50
Reinhard Frank and
Josef Schneid and
Christoph W. Ueberhuber $ {B}$-covariance: a survey . . . . . . 51--61
A. Iserles and
S. P. Nòrsett Order stars and rational approximants to
$ \exp (z) $ . . . . . . . . . . . . . . 63--70
J. F. B. M. Kraaijevanger and
M. N. Spijker Algebraic stability and error
propagation in Runge--Kutta methods . . 71--87
F. Odeh and
O. Nevanlinna and
W. Liniger Multiplier and contractivity methods for
linear multistep methods . . . . . . . . 89--103
Jòrgen Sand Choices in contractivity theory. Recent
theoretical results in numerical
ordinary differential equations . . . . 105--115
J. M. Sanz-Serna and
J. G. Verwer Stability and convergence at the
PDE/stiff ODE interface . . . . . . . . 117--132
R. Scherer and
H. Türke Algebraic characterization of $
{A}$-stable Runge--Kutta methods . . . . 133--144
Robert D. Skeel The second-order backward
differentiation formula is
unconditionally zero-stable . . . . . . 145--149
Stig Skelboe Stability properties of backward
differentiation multirate formulas . . . 151--160
P. Dutt and
S. Ta'asan A spline-based parameter estimation
technique for static models of elastic
structures . . . . . . . . . . . . . . . 161--175
M. Y. Hussaini and
D. A. Kopriva and
A. T. Patera Spectral collocation methods . . . . . . 177--208
Nikolaos I. Ioakimidis On Kutt's Gaussian quadrature rule for
finite-part integrals . . . . . . . . . 209--213
Labib Iskandar New numerical solution of the
Korteweg--de Vries equation . . . . . . 215--221
K. S. Parihar and
M. P. Ramachandran On the numerical solution of Prandtl's
integral equation . . . . . . . . . . . 223--235
J. F. Rameau and
C. Schmidt-Lainé Perturbed bifurcation phenomenon in a
diffusion flame problem . . . . . . . . 237--255
David C. Arney and
Joseph E. Flaherty An adaptive local mesh refinement method
for time-dependent partial differential
equations . . . . . . . . . . . . . . . 257--274
Timothy J. Baker Developments and trends in
three-dimensional mesh generation . . . 275--304
V. Giovangigli and
M. D. Smooke Adaptive continuation algorithms with
application to combustion problems . . . 305--331
Hideaki Kaneko A projection method for solving Fredholm
integral equations of the second kind 333--344
George Miel Parallel solution of Fredholm integral
equations of the second kind by
orthogonal polynomial expansions . . . . 345--361
Douglas E. Salane Improving the performance of a code for
solving stiff systems of ODEs . . . . . 363--373
M. Berzins and
P. M. Dew and
R. M. Furzeland Developing software for time-dependent
problems using the method of lines and
differential-algebraic integrators . . . 375--397
Baruch Cahlon Numerical methods of initial value
problems . . . . . . . . . . . . . . . . 399--407
John M. Conroy Parallel algorithms for the solution of
narrow banded systems . . . . . . . . . 409--421
W. H. Hundsdorfer and
J. G. Verwer Linear stability of the hopscotch scheme 423--433
James M. Hyman and
Bernard Larrouturou Dynamic rezone methods for partial
differential equations in one space
dimension . . . . . . . . . . . . . . . 435--450
C. P. Katti A new fourth-order finite difference
method for a class of singular two-point
boundary value problems . . . . . . . . 451--457
J. M. Augenbaum An adaptive pseudospectral method for
discontinuous problems . . . . . . . . . 459--480
A. Cloot and
B. M. Herbst A model for the propagation of rounding
error in a Klein--Gordon equation . . . 481--494
Hartmut Schwandt Truncated interval arithmetic block
cyclic reduction . . . . . . . . . . . . 495--527
Y. N. Tang and
Y. M. Chen and
W. H. Chen and
M. L. Wasserman Generalized pulse-spectrum technique for
$2$-D and $2$-phase history matching . . 529--539
Fabio Gastaldi and
Alfio Quarteroni On the coupling of hyperbolic and
parabolic systems: analytical and
numerical approach . . . . . . . . . . . 3--31
Christine Bernardi and
Yvon Maday Approximation results for spectral
methods with domain decomposition . . . 33--52
Tony F. Chan and
Danny Goovaerts Schur complement domain decomposition
algorithms for spectral methods . . . . 53--64
Christine Bernardi and
Yvon Maday and
Giovanni Sacchi Landriani Nonconforming matching conditions for
coupling spectral and finite element
methods . . . . . . . . . . . . . . . . 65--84
George Em. Karniadakis Spectral element simulations of laminar
and turbulent flows in complex
geometries . . . . . . . . . . . . . . . 85--105
P. Demaret and
M. O. Deville and
C. Schneidesch Thermal convection solutions by
Chebyshev pseudospectral multi-domain
decomposition and finite element
preconditioning . . . . . . . . . . . . 107--121
C. L. Streett and
M. G. Macaraeg Spectral multi-domain for large-scale
fluid dynamic simulations . . . . . . . 123--139
David A. Kopriva Domain decomposition with both spectral
and finite difference methods for the
accurate computation of flows with
shocks . . . . . . . . . . . . . . . . . 141--151
Stephen L. Campbell and
Kenneth D. Clark Convergence of BDF approximations for
nonsolvable differential algebraic
equations . . . . . . . . . . . . . . . 153--158
A. M. Cohen Chebyshev approximations for $ \cos \pi
/ 2 x^2 $ and $ s i n \pi / 2 x^2 $ with
applications . . . . . . . . . . . . . . 159--167
Annie Cuyt Old and new multidimensional convergence
accelerators . . . . . . . . . . . . . . 169--185
Ljiljana Cvetkovi\'c and
Dragoslav Herceg Some sufficient conditions for the
convergence of the method of averaging
functional corrections . . . . . . . . . 187--194
Dean G. Duffy Unsteady viscous flow around a circular
cylinder found by the hopscotch scheme
on a vector processing machine . . . . . 195--208
Richard H. Goodman Some models of relative error in
products . . . . . . . . . . . . . . . . 209--220
Marc Prevost Determinantal expression for partial Padé
approximants . . . . . . . . . . . . . . 221--224
S. Sallam and
W. Ameen Numerical solution of general $n$
th-order differential equations via
splines . . . . . . . . . . . . . . . . 225--238
Jet Wimp and
Bob Boyer Formal series and an algorithm for
computing some special determinants with
elements in a ring . . . . . . . . . . . 239--248
James H. Bramble and
Joseph E. Pasciak A domain decomposition technique for
Stokes problems . . . . . . . . . . . . 251--261
M. Dryja and
W. Proskurowski Composite iterative method for elliptic
problems in irregular regions . . . . . 263--279
David E. Keyes and
William D. Gropp Domain decomposition techniques for the
parallel solution of nonsymmetric
systems of elliptic boundary value
problems . . . . . . . . . . . . . . . . 281--301
Yu. A. Kuznetsov Multi-level domain decomposition methods 303--314
Steve F. McCormick and
Steven M. McKay and
J. W. Thomas Computational complexity of the fast
adaptive composite grid (FAC) method . . 315--327
A. Louise Perkins and
Garry Rodrigue A domain decomposition method for
solving a two-dimensional viscous
Burgers' equation . . . . . . . . . . . 329--340
Nicholas J. Daras The convergence of Padé-type approximants
to holomorphic functions of several
complex variables . . . . . . . . . . . 341--360
F. Jauberteau and
C. Rosier and
R. Temam The nonlinear Galerkin method in
computational fluid dynamics . . . . . . 361--370
Sôsaburô Kida Padé-type and Padé approximants in several
variables . . . . . . . . . . . . . . . 371--391
Sôsaburô Kida Relation between Padé-type approximation
and polynomial interpolation in several
variables . . . . . . . . . . . . . . . 393--404
Renato Spigler Numerical simulation for degenerate
diffusions . . . . . . . . . . . . . . . 405--413
Guido Walz Increasing the convergence modulus of an
asymptotic expansion . . . . . . . . . . 415--423
Kang Ping Chen and
Daniel D. Joseph Application of the singular value
decomposition to the numerical
computation of the coefficients of
amplitude equations and normal forms . . 425--430
Y. M. Chen and
F. G. Zhang Hierarchical multigrid strategy for
efficiency improvement of the GPST
inversion algorithm . . . . . . . . . . 431--446
Daniele Funaro Computational aspects of pseudospectral
Laguerre approximations . . . . . . . . 447--457
G. Joseph and
A. Levine and
J. Liukkonen Randomized Newton--Raphson . . . . . . . 459--469
R. M. M. Mattheij and
M. D. Smooke Stability and convergence of linear
parabolic mixed initial-boundary value
problems on nonuniform grids . . . . . . 471--485
Avram Sidi Application of vector extrapolation
methods to consistent singular linear
systems . . . . . . . . . . . . . . . . 487--500
P. J. van der Houwen and
B. P. Sommeijer and
F. W. Wubs Analysis of smoothing operators in the
solution of partial differential
equations by explicit difference schemes 501--521
Anonymous Editorial Board . . . . . . . . . . . . ii--iv
ManuelD. Salas Introduction . . . . . . . . . . . . . . 1
Thorwald Herbert Exploring transition by computer . . . . 3--25
Thomas A. Zang On the rotation and skew-symmetric forms
for incompressible flow simulations . . 27--40
C. L. Streett and
M. Y. Hussaini Numerical simulation of the appearance
of chaos in finite-length
Taylor--Couette flow . . . . . . . . . . 41--71
Gordon Erlebacher and
M. Y. Hussaini Nonlinear evolution of a second-mode
wave in supersonic boundary layers . . . 73--91
Michele G. Macaraeg and
Craig L. Streett Linear stability of high-speed mixing
layers . . . . . . . . . . . . . . . . . 93--127
S. Biringen and
E. Laurien Nonlinear structures of transition in
wall-bounded flows . . . . . . . . . . . 129--150
Yair Censor and
Alvaro R. De Pierro and
Alfredo N. Iusem Optimization of Burg's entropy over
linear constraints . . . . . . . . . . . 151--165
Hideaki Kaneko and
Yuesheng Xu Numerical solutions for weakly singular
Fredholm integral equations of the
second kind . . . . . . . . . . . . . . 167--177
Mohamed Khelifi Lanczos maximal algorithm for
unsymmetric eigenvalue problems . . . . 179--193
Francisco Pérez-Acosta On the best choice of denominators in
rational collocation methods for
nonlinear problems . . . . . . . . . . . 195--200
T. E. Simos A Numerov-type method for the numerical
solution of the radial Schrödinger
equation . . . . . . . . . . . . . . . . 201--206
Nai Kuan Tsao On the accuracy of solving triangular
systems in parallel . . . . . . . . . . 207--215
André Draux On composite sequence transformations 217--226
Thomas B. Gatski Review of incompressible fluid flow
computations using the
vorticity-velocity formulation . . . . . 227--239
Miodrag S. Petkovi\'c and
Jürgen Herzberger Hybrid inclusion algorithms for
polynomial multiple complex zeros in
rectangular arithmetic . . . . . . . . . 241--262
W. Shyy Structure of an adaptive grid
computational method from the viewpoint
of dynamic chaos . . . . . . . . . . . . 263--285
John P. Boyd Sum-accelerated pseudospectral methods:
the Euler-accelerated sinc algorithm . . 287--296
S. Galanis and
A. Hadjidimos On some convergence results of the
$k$-step iterative methods . . . . . . . 297--308
B. Koren and
P. W. Hemker Damped, direction-dependent multigrid
for hypersonic flow computations . . . . 309--328
Timothy N. Phillips and
Andreas Karageorghis A conforming spectral collocation
strategy for Stokes flow through a
channel contraction . . . . . . . . . . 329--345
Michael Schäfer Parallel algorithms for the numerical
simulation of three-dimensional natural
convection . . . . . . . . . . . . . . . 347--365
Herman J. J. te Riele and
T. J. Dekker and
H. A. van der Vorst Preface . . . . . . . . . . . . . . . . 367--368
T. L. Freeman A parallel unconstrained quasi-Newton
algorithm and its performance on a local
memory parallel computer . . . . . . . . 369--378
L. Beernaert and
D. Roose and
R. Struys and
H. Deconinck A multigrid solver for the Euler
equations on the iPSC/2 parallel
computer . . . . . . . . . . . . . . . . 379--398
Stavros A. Zenios and
Yair Censor Parallel computing with block-iterative
image reconstruction algorithms . . . . 399--415
Shun Doi On parallelism and convergence of
incomplete $ {LU} $ factorizations . . . 417--436
O. Axelsson and
P. S. Vassilevski Asymptotic work estimates for AMLI
methods . . . . . . . . . . . . . . . . 437--451
John P. Boyd A comparison of numerical and analytical
methods for the reduced wave equation
with multiple spatial scales . . . . . . 453--479
Paul Levrie Convergence acceleration for
$n$-fractions . . . . . . . . . . . . . 481--492
Ana C. Matos Construction of new transformations for
lacunary power series based on the
Cauchy-type approximants . . . . . . . . 493--507
Gerard R. Richter Explicit finite element methods for
scalar hyperbolic equations . . . . . . 509--521
Wei Shyy Structure of an adaptive grid
computational method from the viewpoint
of dynamic chaos. II. Grid addition and
probability distribution . . . . . . . . 523--545
J. Augenbaum and
S. E. Cohn and
D. Marchesin Eliminating grid-orientation errors in
alternating-direction implicit schemes 1--10
Claude Brezinski and
Michela Redivo Zaglia Construction of extrapolation processes 11--23
Monga-Made Magolu Conditioning analysis of sparse block
approximate factorizations . . . . . . . 25--42
Stuart E. Rogers and
Dochan Kwak An upwind differencing scheme for the
incompressible Navier--Stokes equations 43--64
R. A. Trompert and
J. G. Verwer A static-regridding method for
two-dimensional parabolic partial
differential equations . . . . . . . . . 65--90
Herman J. J. te Riele and
T. J. Dekker and
H. A. van der Vorst Preface . . . . . . . . . . . . . . . . 91--92
Michael A. Heroux and
Phuong Vu and
Chao Yang A parallel preconditioned conjugate
gradient package for solving sparse
linear systems on a Cray Y-MP . . . . . 93--115
Pieter P. N. de Groen Base-$p$-cyclic reduction for
tridiagonal systems of equations . . . . 117--125
Walter Hoffmann and
Kitty Potma Implementing linear algebra algorithms
on a Meiko Computing Surface . . . . . . 127--148
Stefan Vandewalle and
Robert Piessens Numerical experiments with nonlinear
multigrid waveform relaxation on a
parallel processor . . . . . . . . . . . 149--161
G. S. Singh and
S. S. Kulkarni An integrated solution strategy on
parallel computers . . . . . . . . . . . 163--175
Edwin M. Paalvast and
Henk J. Sips and
Leo C. Breebaart Booster: a high-level language for
portable parallel algorithms . . . . . . 177--192
Claude Brezinski Generalizations of the
Christoffel--Darboux identity for
adjacent families of orthogonal
polynomials . . . . . . . . . . . . . . 193--199
Kevin Burrage The error behaviour of a general class
of predictor-corrector methods . . . . . 201--216
Michael Kaminski and
Avram Sidi Solution of an integer programming
problem related to convergence of rows
of Padé approximants . . . . . . . . . . 217--223
Paul Levrie $ {G} $-continued fractions and
convergence acceleration in the solution
of third-order linear recurrence
relations of Poincaré type . . . . . . . 225--242
D. Pathria and
J. L. Morris A variable degree spectral collocation
algorithm for the solution of nonlinear
evolutionary equations . . . . . . . . . 243--256
Gary A. Sod A compressible vortex method with
application to the interaction of an
oblique shock wave with a boundary layer 257--273
Yu Song Numerical simulation of flame
propagations in circular cylinders . . . 275--288
R. Vichnevetsky and
L. H. Turner Spurious scattering from discontinuously
stretching grids in computational fluid
dynamics . . . . . . . . . . . . . . . . 289--299
R. Bramley and
A. Sameh Domain decomposition for parallel row
projection algorithms . . . . . . . . . 303--315
Tony F. Chan and
Wei Nan E and
Jia Chang Sun Domain decomposition interface
preconditioners for fourth-order
elliptic problems . . . . . . . . . . . 317--331
Milo R. Dorr A domain decomposition preconditioner
with reduced rank interdomain coupling 333--352
Craig C. Douglas A tupleware approach to domain
decomposition methods . . . . . . . . . 353--373
Richard E. Ewing Application of domain decomposition
techniques in large-scale fluid flow
problems . . . . . . . . . . . . . . . . 375--388
D. Goovaerts and
T. F. Chan and
Robert Piessens The eigenvalue spectrum of domain
decomposed preconditioners . . . . . . . 389--410
Jan Mandel and
G. Scott Lett Domain decomposition preconditioning for
$p$-version finite elements with high
aspect ratios . . . . . . . . . . . . . 411--425
Gérard A. Meurant A domain decomposition method for
parabolic problems . . . . . . . . . . . 427--441
B. M. Averick and
J. M. Ortega Solution of nonlinear Poisson-type
equations . . . . . . . . . . . . . . . 443--455
A. Belantari Error estimate in vector Padé
approximation . . . . . . . . . . . . . 457--468
John Gill The use of the sequence $ {F}_n(z) = f_n
\circ \cdots \circ f_1 (z) $ in
computing fixed points of continued
fractions, products, and series . . . . 469--476
Z. Jackiewicz and
E. Lo The numerical solution of neutral
functional-differential equations by
Adams predictor-corrector methods . . . 477--491
Franco Pasquarelli Domain decomposition for spectral
approximation to Stokes equations via
divergence-free functions . . . . . . . 493--514
Timothy N. Phillips On methods of incomplete $ {LU} $
decompositions for solving Poisson's
equation in annular regions . . . . . . 515--531
Robert Vichnevetsky and
Thomas Scheidegger The nonlocal nature of internal
reflection in computational fluid
dynamics with spectral methods . . . . . 533--539
M. Berzins and
R. M. Furzeland An adaptive theta method for the
solution of stiff and nonstiff
differential equations . . . . . . . . . 1--19
Ren Li Guo and
Robert D. Skeel An algebraic hierarchical basis
preconditioner . . . . . . . . . . . . . 21--32
Lawrence C. Rich and
David R. Hill Automatic differentiation in MATLAB . . 33--43
Chi-Wang Shu and
Thomas A. Zang and
Gordon Erlebacher and
David Whitaker and
Stanley Osher High-order ENO schemes applied to
two-and three-dimensional compressible
flow . . . . . . . . . . . . . . . . . . 45--71
Nai Kuan Tsao On the accuracy of solving triangular
systems in parallel. II . . . . . . . . 73--89
W. Auzinger and
R. Frank and
G. Kirlinger An extension of $ {B}$-convergence for
Runge--Kutta methods . . . . . . . . . . 91--109
P. J. van der Houwen and
B. P. Sommeijer and
Nguyen Huu Cong Parallel diagonally implicit
Runge--Kutta--Nyström methods . . . . . . 111--131
Andreas Karageorghis and
Timothy N. Phillips On the coefficients of differentiated
expansions of ultraspherical polynomials 133--141
R. Vulanovi\'c Some switching schemes for quasilinear
singular perturbation problems . . . . . 143--155
F. W. Wubs and
E. D. de Goede An explicit-implicit method for a class
of time-dependent partial differential
equations . . . . . . . . . . . . . . . 157--181
Alan Feldstein and
Zdzislaw Jackiewicz Foreword . . . . . . . . . . . . . . . . 183--185
C. Lubich On convolution quadrature and
Hille--Phillips operational calculus . . 187--199
Peter Linz and
Richard L. C. Wang Error bounds for the solution of
Volterra and delay equations . . . . . . 201--207
David R. Willé and
Christopher T. H. Baker The tracking of derivative
discontinuities in systems of
delay-differential equations . . . . . . 209--222
David R. Willé and
Christopher T. H. Baker DELSOL --- a numerical code for the
solution of systems of
delay-differential equations . . . . . . 223--234
Hermann Brunner Implicitly linear collocation methods
for nonlinear Volterra equations . . . . 235--247
Bruce V. Riley The numerical solution of Volterra
integral equations with nonsmooth
solutions based on sinc approximation 249--257
Tao Tang and
Sean McKee and
Teresa Diogo Product integration methods for an
integral equation with logarithmic
singular kernel . . . . . . . . . . . . 259--266
B. P. Sommeijer and
W. Couzy and
P. J. van der Houwen $A$-stable parallel block methods for
ordinary and integro-differential
equations . . . . . . . . . . . . . . . 267--281
Mir S. Derakhshan Parallel solution of Volterra integral
equations using reducible quadrature
rules . . . . . . . . . . . . . . . . . 283--290
Baruch Cahlon Numerical solutions for functional
integral equations with state-dependent
delay . . . . . . . . . . . . . . . . . 291--305
Dennis W. Brewer and
Robert K. Powers Parameter estimation for a Volterra
integro-differential equation . . . . . 307--320
A. Bellen and
M. Zennaro Strong contractivity properties of
numerical methods for ordinary and delay
differential equations . . . . . . . . . 321--346
K. J. in 't Hout The stability of a class of Runge--Kutta
methods for delay differential equations 347--355
Christopher T. H. Baker and
Neville J. Ford Stability properties of a scheme for the
approximate solution of a
delay-integro-differential equation . . 357--370
P. Bogacki and
L. F. Shampine Parallel implementation of interpolants
for Runge--Kutta pairs . . . . . . . . . 371--383
K. W. Neves and
S. Thompson Software for the numerical solution of
systems of functional differential
equations with state-dependent delays 385--401
Christopher A. H. Paul Developing a delay differential equation
solver . . . . . . . . . . . . . . . . . 403--414
J. C. Butcher The adaptation of STRIDE to delay
differential equations . . . . . . . . . 415--425
Wen Zhang and
Ian Gladwell Bifurcation phenomena in a detonation
problem . . . . . . . . . . . . . . . . 427--445
Jean-Claude Dupin and
Arnaud Fréville Shape preserving interpolating cubic
splines with geometric mesh . . . . . . 447--459
H. G. Khajah and
E. L. Ortiz Numerical approximation of solutions of
functional equations using the tau
method . . . . . . . . . . . . . . . . . 461--474
J. F. B. M. Kraaijevanger Maximum norm contractivity of
discretization schemes for the heat
equation . . . . . . . . . . . . . . . . 475--492
Ramón Orive and
Pablo González-Vera On a family of multivariate two-point
rational approximants . . . . . . . . . 493--510
C. P. Thompson and
G. K. Leaf and
J. Van Rosendale A dynamically adaptive multigrid
algorithm for the incompressible
Navier--Stokes equations validation and
model problems . . . . . . . . . . . . . 511--532
V. Vanaja Numerical solution of a simple
Fokker--Planck equation . . . . . . . . 533--540
Erik D. de Goede Numerical methods for the 3D shallow
water equations on vector and parallel
computers . . . . . . . . . . . . . . . 3--18
Serge G. Petiton Parallel subspace method for
non-Hermitian eigenproblems on the
Connection Machine (CM2) . . . . . . . . 19--35
Margreet Louter-Nool Block-Cholesky for parallel processing 37--57
Dik T. Winter Influence of memory systems on vector
processor performance . . . . . . . . . 59--72
Walter M. Lioen and
Dik T. Winter Solving large dense systems of linear
equations on systems with virtual memory
and with cache . . . . . . . . . . . . . 73--85
C. Carlenzoli and
P. Gervasio Effective numerical algorithms for the
solution of algebraic systems arising in
spectral methods . . . . . . . . . . . . 87--113
A. Hadjidimos and
A. Psimarni and
A. K. Yeyios On the convergence of the modified
accelerated overrelaxation (MAOR) method 115--127
Allan J. MacLeod Chebyshev expansions for Abramowitz
functions . . . . . . . . . . . . . . . 129--137
Kris Stewart and
Tunc Geveci Numerical experiments with a nonlinear
evolution equation which exhibits
blow-up . . . . . . . . . . . . . . . . 139--147
Wen Zhang and
Ian Gladwell Bifurcation phenomena in singular free
boundary value problems of ordinary
differential equations . . . . . . . . . 149--158
Jian-Ping Zhu and
Yung Ming Chen Multilevel grid method for history
matching multidimensional multiphase
reservoir models . . . . . . . . . . . . 159--174
Richard S. Varga How high-precision calculations can
stimulate mathematical research . . . . 177--193
Robert Vichnevetsky On wave propagation in almost periodic
structures . . . . . . . . . . . . . . . 195--229
P. R. Garabedian Failure of uniqueness in transonic flow 231--234
W. F. Ames and
F. V. Postell and
E. Adams Optimal numerical algorithms . . . . . . 235--259
David M. Young and
Bi Roubolo Vona On the use of rational iterative methods
for solving large sparse linear systems 261--278
H. S. McFaddin and
J. R. Rice Collaborating PDE solvers . . . . . . . 279--295
C. de Boor On the error in multivariate polynomial
interpolation . . . . . . . . . . . . . 297--305
Peter J. Olver Symmetry and explicit solutions of
partial differential equations . . . . . 307--324
Robert E. Lynch Fundamental solutions of nine-point
discrete Laplacians . . . . . . . . . . 325--334
Jerry L. Bona and
Vassilios A. Dougalis and
Ohannes A. Karakashian and
William R. McKinney Computations of blow-up and decay for
periodic solutions of the generalized
Korteweg--de Vries--Burgers equation . . 335--355
Lucia Gastaldi A domain decomposition method associated
with the streamline diffusion FEM for
linear hyperbolic systems . . . . . . . 357--380
Yvan Notay Conditioning of Stieltjes matrices by $
S / P $ consistently ordered approximate
factorizations . . . . . . . . . . . . . 381--396
Linda R. Petzold and
Florian A. Potra ODAE methods for the numerical solution
of Euler--Lagrange equations . . . . . . 397--413
William A. Ward, Jr. Numerically generated basis functions
for elliptic boundary value problems . . 415--433
R. Zheng and
N. Phan-Thien Transforming the domain integrals to the
boundary using approximate particular
solutions: a boundary element approach
for nonlinear problems . . . . . . . . . 435--445
Stephen F. Davis An interface tracking method for
hyperbolic systems of conservation laws 447--472
Hideaki Kaneko and
Yuesheng Xu and
Gilbert Kerr Degenerate kernel method for
multi-variable Hammerstein equations . . 473--479
M. Kzaz Convergence acceleration of some
Gaussian quadrature formulas for
analytic functions . . . . . . . . . . . 481--496
Ramón Orive and
Pablo González-Vera On the convergence of bivariate
two-point Padé-type approximants . . . . 497--508
Anonymous Master index to Volumes 1--10 . . . . . 511--532
Kevin Burrage Parallel methods for initial value
problems . . . . . . . . . . . . . . . . 5--25
C. W. Gear Massive parallelism across space in ODEs 27--43
C. W. Gear and
Xuhai Xu Parallelism across time in ODEs . . . . 45--68
P. J. van der Houwen Parallel step-by-step methods . . . . . 69--81
P. Amodio and
D. Trigiante A parallel direct method for solving
initial value problems for ordinary
differential equations . . . . . . . . . 85--93
Alfredo Bellen and
Marino Zennaro The use of Runge--Kutta formulae in
waveform relaxation methods . . . . . . 95--114
L. Brugnano and
F. Mazzia and
D. Trigiante Parallel implementation of BVM methods 115--124
Kevin Burrage The search for the Holy Grail, or:
Predictor-corrector methods for solving
ODEIVPs . . . . . . . . . . . . . . . . 125--141
M. R. Crisci and
B. Paternoster and
E. Russo Fully parallel Runge--Kutta--Nyström
methods for ODEs with oscillating
solutions . . . . . . . . . . . . . . . 143--158
M. Grazia Gasparo and
M. Macconi Parallel quasi-Newton techniques with
applications to shooting methods . . . . 159--167
P. J. van der Houwen and
B. P. Sommeijer Analysis of parallel diagonally implicit
iteration of Runge--Kutta methods . . . 169--188
Zdzis\law Jackiewicz Stability analysis of time-point
relaxation Runge--Kutta methods with
respect to tridiagonal systems of
differential equations . . . . . . . . . 189--209
B. Leimkuhler and
A. Ruehli Rapid convergence of waveform relaxation 211--224
L. Lopez and
D. Trigiante Boundary value methods and BV-stability
in the solution of initial value
problems . . . . . . . . . . . . . . . . 225--239
Bojan Orel Parallel Runge--Kutta methods with real
eigenvalues . . . . . . . . . . . . . . 241--250
Bert Pohl On the convergence of the discretized
multi-splitting waveform relaxation
algorithm . . . . . . . . . . . . . . . 251--258
Rupak Biswas and
Joseph E. Flaherty and
David C. Arney An adaptive mesh-moving and refinement
procedure for one-dimensional
conservation laws . . . . . . . . . . . 259--282
Surya Prasad G. Dinavahi Streakline method for computing
two-dimensional vortical flows . . . . . 283--308
Tao Tang A finite difference scheme for partial
integro-differential equations with a
weakly singular kernel . . . . . . . . . 309--319
M. Zennaro Contractivity of Runge--Kutta methods
with respect to forcing terms . . . . . 321--345
J. C. Butcher Diagonally-implicit multi-stage
integration methods . . . . . . . . . . 347--363
Min Chen and
Roger Temam Incremental unknowns for
convection-diffusion equations . . . . . 365--383
P. González-Vera and
M. Jiménez Paiz Two-point partial Padé approximants . . . 385--402
Michael K. Loze and
R. Saunders Two simple algorithms for constructing a
two-dimensional constrained Delaunay
triangulation . . . . . . . . . . . . . 403--418
S. Sallam and
M. N. El Tarazi Quadratic spline interpolation on
uniform meshes . . . . . . . . . . . . . 419--427
J. Y. Yuan The convergence of the two-block SAOR
method for least-squares problems . . . 429--441
Claude Brezinski and
Hassane Sadok Lanczos-type algorithms for solving
systems of linear equations . . . . . . 443--473
Chichia Chiu Optimal one-stage and two-stage schemes
for steady state solutions of hyperbolic
equations . . . . . . . . . . . . . . . 475--496
P. Glaister An efficient numerical method for
subcritical and supercritical open
channel flows . . . . . . . . . . . . . 497--508
T. V. Hromadka II and
R. J. Whitley Expanding the CVBEM approximation in a
series . . . . . . . . . . . . . . . . . 509--516
Riccardo Sacco Convergence of a second-order accurate
Petrov--Galerkin scheme for
convection-diffusion problems in
semiconductors . . . . . . . . . . . . . 517--528
Anonymous Editorial Board . . . . . . . . . . . . ii--ii
David Gottlieb and
Eli Turkel Dedication . . . . . . . . . . . . . . . 1--2
Flavian Abramovici Synthetic seismograms for elastic and
anelastic half-spaces . . . . . . . . . 3--25
D. Amitai and
A. Averbuch and
M. Israeli and
S. Itzikowitz and
E. Turkel A survey of asynchronous
finite-difference methods for parabolic
PDEs on multiprocessors . . . . . . . . 27--45
Thomas F. Buttke and
Alexandre J. Chorin Turbulence calculations in magnetization
variables . . . . . . . . . . . . . . . 47--54
Mark H. Carpenter and
David Gottlieb and
Saul Abarbanel Stable and accurate boundary treatments
for compact, high-order
finite-difference schemes . . . . . . . 55--87
Nira Dyn and
Shmuel Rippa Data-dependent triangulations for
scattered data interpolation and finite
element approximation . . . . . . . . . 89--105
I. Gohberg and
I. Koltracht Condition numbers for functions of
matrices . . . . . . . . . . . . . . . . 107--117
David Gottlieb and
Roger Temam Implementation of the nonlinear Galerkin
method with pseudospectral (collocation)
discretizations . . . . . . . . . . . . 119--134
Bertil Gustafsson and
Per Lötstedt The GMRES method improved by securing
fast wave propagation . . . . . . . . . 135--152
Ami Harti Discrete multi-resolution analysis and
generalized wavelets . . . . . . . . . . 153--192
M. Israeli and
L. Vozovoi and
A. Averbuch Domain decomposition methods for solving
parabolic PDEs on multiprocessors . . . 193--212
Heinz-O. O. Kreiss and
Lixin Wu On the stability definition of
difference approximations for the
initial boundary value problem . . . . . 213--227
Milton E. Rose An enthalpy scheme for Stefan problems
in several dimensions . . . . . . . . . 229--238
M. D. Salas Shock wave interaction with an abrupt
area change . . . . . . . . . . . . . . 239--256
E. Turkel Review of preconditioning methods for
fluid dynamics . . . . . . . . . . . . . 257--284
Burton Wendroff and
Tony Warnock and
Lewis Stiller and
Dean Mayer and
Ralph Brickner Bits and pieces: constructing chess
endgame databases on parallel and vector
architectures . . . . . . . . . . . . . 285--295
P. Achuthan and
R. Rangarajan On regular C-fraction and general
T-fraction expansions for ratios of
basic hypergeometric series and
Ramanujan-type identities . . . . . . . 297--313
Desmond J. Higham Error control for initial value problems
with discontinuities and delays . . . . 315--330
Ron Trompert Local uniform grid refinement and
systems of coupled partial differential
equations . . . . . . . . . . . . . . . 331--355
Ren Hong Wang and
Jie Qing Tan On interpolating multivariate rational
splines . . . . . . . . . . . . . . . . 357--372
Pierre Leca and
Serge G. Petiton Introduction . . . . . . . . . . . . . . 373--375
Mark T. Jones and
Merrell L. Patrick Lanczos algorithm for the generalized
symmetric eigenproblem on shared-memory
architectures . . . . . . . . . . . . . 377--389
Bernard Philippe and
Brigitte Vital Parallel implementations for solving
generalized eigenvalue problems with
symmetric sparse matrices . . . . . . . 391--402
E. R. Jessup A case against a divide and conquer
approach to the nonsymmetric eigenvalue
problem . . . . . . . . . . . . . . . . 403--420
D. C. Marinescu and
J. R. Rice and
E. A. Vavalis Performance of iterative methods for
distributed memory machines . . . . . . 421--430
Horst D. Simon and
Leonardo Dagum Experience in using SIMD and MIMD
parallelism for computational fluid
dynamics . . . . . . . . . . . . . . . . 431--442
C. Farhat and
M. Lesoinne Mesh partitioning algorithms for the
parallel solution of partial
differential equations . . . . . . . . . 443--457
Yann-Hervé De Roeck Nonlinear elasticity solved by a domain
decomposition method on a hypercube . . 459--471
Armel de La Bourdonnaye Numerical treatment of integral
equations on iPSC . . . . . . . . . . . 473--483
Riccardo Fazio and
David J. Evans An implicit difference scheme for a
moving boundary hyperbolic problem . . . 485--496
Immaculada Higueras Coefficients of the Taylor expansion for
the solution of differential-algebraic
systems . . . . . . . . . . . . . . . . 497--501
C. Palencia and
B. García-Archilla Stability of linear multistep methods
for sectorial operators in Banach spaces 503--520
Rossana Vermiglio and
Marino Zennaro Multistep natural continuous extensions
of Runge--Kutta methods: the potential
for stable interpolation . . . . . . . . 521--546
Martin Arnold Stability of numerical methods for
differential-algebraic equations of
higher index . . . . . . . . . . . . . . 5--14
G. Vanden Berghe and
P. Bocher and
H. De Meyer Numerical solution of Fredholm equations
based on mixed interpolation . . . . . . 15--22
V. Brasey and
E. Hairer Symmetrized half-explicit methods for
constrained mechanical systems . . . . . 23--31
Jürgen Bruder Linearly-implicit Runge--Kutta methods
based on implicit Runge--Kutta methods 33--40
Mario Büttner and
Bernhard A. Schmitt and
Rüdiger Weiner Automatic partitioning in
linearly-implicit Runge--Kutta methods 41--55
G. Denk A new numerical method for the
integration of highly oscillatory
second-order ordinary differential
equations . . . . . . . . . . . . . . . 57--67
J. A. Ferreira The second-order initial/boundary value
problem: supraconvergence of regridding
methods . . . . . . . . . . . . . . . . 69--81
M. Günther and
P. Rentrop Multirate ROW methods and latency of
electric circuits . . . . . . . . . . . 83--102
M. Hermann and
D. Kaiser RWPM: a software package of shooting
methods for nonlinear two-point boundary
value problems . . . . . . . . . . . . . 103--108
P. J. van der Houwen and
Nguyen Huu Cong Parallel block predictor-corrector
methods of Runge--Kutta type . . . . . . 109--123
Jean-Paul Kauthen Implicit Runge--Kutta methods for some
integrodifferential-algebraic equations 125--134
Jens Lang and
Artur Walter An adaptive Rothe method for nonlinear
reaction-diffusion systems . . . . . . . 135--146
M. Á. López Marcos A note on the computation of bifurcation
diagrams of the Kuramoto--Sivashinsky
equation by pseudospectral methods . . . 147--154
H. De Meyer and
M. Van Daele and
G. Vanden Berghe On the implementation of parallel
iterated Runge--Kutta methods on a
transputer network . . . . . . . . . . . 155--163
Alexander Ostermann A class of half-explicit Runge--Kutta
methods for differential-algebraic
systems of index $3$ . . . . . . . . . . 165--179
J. M. Sanz-Serna and
S. Larsson Shadows, chaos, and saddles . . . . . . 181--190
K.-H. Schild Stability properties of non-rationally
stabilized collocation schemes for stiff
boundary value problems . . . . . . . . 191--198
B. A. Schmitt and
Z. Mei Construction of higher-order algebraic
one-step schemes in stiff BVPs . . . . . 199--208
B. Simeon An extended descriptor form for the
numerical integration of multibody
systems . . . . . . . . . . . . . . . . 209--220
B. P. Sommeijer Explicit, high-order
Runge--Kutta--Nyström methods for
parallel computers . . . . . . . . . . . 221--240
M. N. Spijker Numerical ranges and stability estimates 241--249
J. G. Verwer and
R. A. Trompert Analysis of local uniform grid
refinement . . . . . . . . . . . . . . . 251--270
G. Hossein Behforooz A new approach to spline functions . . . 271--276
L. Brugnano and
D. Trigiante A parallel preconditioning technique for
boundary value methods . . . . . . . . . 277--290
L. Brugnano and
D. Trigiante Stability properties of some boundary
value methods . . . . . . . . . . . . . 291--304
R. M. M. Mattheij and
S. J. Wright Parallel stable compactification for
ODEs with parameters and multipoint
conditions . . . . . . . . . . . . . . . 305--333
B. V. Ratish Kumar and
K. B. Naidu A streamline upwinding
streamfunction-vorticity finite element
analysis of Navier--Stokes equations . . 335--344
M. Gasca and
J. M. Peña Scaled pivoting in Gauss and Neville
elimination for totally positive systems 345--355
Guo Qiang Han Asymptotic error expansion of a
collocation-type method for
Volterra--Hammerstein integral equations 357--369
Zoltán Horváth Consistency and stability for some
nonnegativity-conserving methods . . . . 371--381
Antony Jameson Computational algorithms for aerodynamic
analysis and design . . . . . . . . . . 383--422
Igor I. Verlan About a family of $ {C}^4 $ splines with
one free generating function . . . . . . 423--435
R. Biswas and
R. C. Strawn A new procedure for dynamic adaption of
three-dimensional unstructured grids . . 437--452
Carsten Carstensen and
Miodrag S. Petkovi\'c An improvement of Gargantini's
simultaneous inclusion method for
polynomial roots by Schröder's correction 453--468
W. Hundsdorfer and
R. A. Trompert Method of lines and direct
discretization: a comparison for linear
advection . . . . . . . . . . . . . . . 469--490
Pablo V. Negrón-Marrero and
Bárbara L. Santiago-Figueroa Novel stability patterns for the large
necking of plates in tension: a
numerical study . . . . . . . . . . . . 491--512
K. Clark and
J. E. Flaherty and
M. S. Shephard Introduction . . . . . . . . . . . . . . 1--3
I. Babu\vska and
I. Lee and
C. Schwab On the a posteriori estimation of the
modeling error for the heat conduction
in a plate and its use for adaptive
hierarchical modeling . . . . . . . . . 5--21
M. Ainsworth and
J. T. Oden and
W. Wu A posteriori error estimation for
$h$-$p$ approximations in elastostatics 23--54
Ted Belytschko and
Ted D. Blacker Enhanced derivative recovery through
least square residual penalty . . . . . 55--68
Ahmed K. Noor and
W. Scott Burton and
Jeanne M. Peters Hierarchical adaptive modeling of
structural sandwiches and multilayered
composite panels . . . . . . . . . . . . 69--90
Steve McCormick and
Ulrich Rüde A finite volume convergence theory for
the fast adaptive composite grid methods 91--103
Mark S. Shephard and
Rolf Wentorf Toward the implementation of automated
analysis idealization control . . . . . 105--124
Randall L. Dougherty and
James M. Hyman A divide-and-conquer algorithm for grid
generation . . . . . . . . . . . . . . . 125--134
J. Fish and
S. Markolefas and
R. Guttal and
P. Nayak On adaptive multilevel superposition of
finite element meshes for linear
elastostatics . . . . . . . . . . . . . 135--164
Gregory Kozlovsky Solving partial differential equations
using recursive grids . . . . . . . . . 165--181
R. B. Simpson Anisotropic mesh transformations and
optimal error control . . . . . . . . . 183--198
R. E. Ewing and
R. D. Lazarov Approximation of parabolic problems on
grids locally refined in time and space 199--211
John W. Grove Applications of front tracking to the
simulation of shock refractions and
unstable mixing . . . . . . . . . . . . 213--237
Marsha J. Berger and
Jeff S. Saltzman AMR on the CM-2 . . . . . . . . . . . . 239--253
Rupak Biswas and
Karen D. Devine and
Joseph E. Flaherty Parallel, adaptive finite element
methods for conservation laws . . . . . 255--283
R. Ramakrishnan Structured and unstructured grid
adaptation schemes for numerical
modeling of field problems . . . . . . . 285--310
Christopher R. Johnson and
Robert S. MacLeod Nonuniform spatial mesh adaptation using
a posteriori error estimates:
applications to forward and inverse
problems . . . . . . . . . . . . . . . . 311--326
Kenneth G. Powell A tree-based adaptive scheme for
solution of the equations of gas
dynamics and magnetohydrodynamics . . . 327--352
Itzhak Lottati and
Shmuel Eidelman A second-order Godunov scheme on a
spatial adapted triangular grid . . . . 353--365
Mario Ahués and
Kwami Attoh A refinement method for maximal
deflating bases of regular pencils . . . 367--382
G. A. Evans Two robust methods for irregular
oscillatory integrals over a finite
range . . . . . . . . . . . . . . . . . 383--395
Christopher A. Kennedy and
Mark H. Carpenter Several new numerical methods for
compressible shear-layer simulations . . 397--433
Seongjai Kim A parallelizable iterative procedure for
the Helmholtz problem . . . . . . . . . 435--449
M. Simkani Local limiting behavior of the zeros of
approximating polynomials . . . . . . . 451--456
M. Affouf Numerical study of a singular system of
conservation laws arising in enhanced
oil reservoirs . . . . . . . . . . . . . 1--11
M. Calvo and
J. I. Montijano and
L. Rández A polyvalent Runge--Kutta triple . . . . 13--26
P. Glaister An efficient flux difference splitting
algorithm for unsteady duct flows of a
real gas . . . . . . . . . . . . . . . . 27--52
L. Jódar and
R. Company and
E. Navarro Laguerre matrix polynomials and systems
of second-order differential equations 53--63
J. C. Jorge and
F. Lisbona Contractivity results for alternating
direction schemes in Hilbert spaces . . 65--75
Hél\`ene Lavastre On the stochastic acceleration of
sequences of random variables . . . . . 77--98
C. Brezinski and
M. Morandi Cecchi Preface . . . . . . . . . . . . . . . . 99--100
A. Iserles Convergence acceleration as a dynamical
system . . . . . . . . . . . . . . . . . 101--121
C. Brezinski and
M. Redivo Zaglia Extrapolation methods . . . . . . . . . 123--131
Roberto Carniel A quasi-cell mapping approach to the
global dynamical analysis of Newton's
root-finding algorithm . . . . . . . . . 133--152
P. R. Graves-Morris A review of Padé methods for the
acceleration of convergence of a
sequence of vectors . . . . . . . . . . 153--174
V. I. Agoshkov and
A. Quarteroni and
F. Saleri Recent developments in the numerical
simulation of shallow water equations.
I. Boundary conditions . . . . . . . . . 175--200
Daniele Funaro Spectral elements in the approximation
of boundary-value problems in complex
geometries . . . . . . . . . . . . . . . 201--205
Maurizio Falcone and
Piero Lanucara and
Alessandra Seghini A splitting algorithm for
Hamilton--Jacobi--Bellman equations . . 207--218
Jacques Laminie and
Frédéric Pascal and
Roger Temam Implementation and numerical analysis of
the nonlinear Galerkin methods with
finite elements discretization . . . . . 219--246
M. Morandi Cecchi and
A. Scarpa A space--time finite element method for
nonlinear parabolic problems . . . . . . 247--258
P. Maroni Modified classical orthogonal
polynomials associated with oscillating
functions --- open problems . . . . . . 259--283
Philip Rabinowitz Application of approximating splines for
the solution of Cauchy singular integral
equations . . . . . . . . . . . . . . . 285--297
F. H. Szafraniec Localization in the implicit function
theorem: the method and an application 299--303
John Butcher Preface . . . . . . . . . . . . . . . . 305--305
G. A. Bocharov and
A. A. Romanyukha Numerical treatment of the parameter
identification problem for
delay-differential systems arising in
immune response modelling . . . . . . . 307--326
E. Yu. Dnestrovskaya and
N. N. Kalitkin and
L. V. Kusmina $ {\rm L}q $-decreasing monotonic
schemes with complex coefficients and
applications to complicated PDE systems 327--340
K. R. Jackson and
A. Kværnò and
S. P. Nòrsett The use of Butcher series in the
analysis of Newton-like iterations in
Runge--Kutta formulas . . . . . . . . . 341--356
P. J. Van der Houwen and
B. P. Sommeijer Butcher--Kuntzmann methods for nonstiff
problems on parallel computers . . . . . 357--374
Wen Guo and
Martin Stynes Finite element analysis of an
exponentially fitted non-lumped scheme
for advection-diffusion equations . . . 375--393
Ioan Jadic A numerical method for the approximation
of singular integrals of functions with
a pole of order two . . . . . . . . . . 395--406
Tadeusz J. Janik and
Sòren Jensen On the stability and performance of the
$p$-version of the finite element method
for first-order hyperbolic problems . . 407--437
M. M. Martins and
M. E. Trigo On the convergence of the interval MAOR
method . . . . . . . . . . . . . . . . . 439--448
Peter K. Moore and
Linda R. Petzold A stepsize control strategy for stiff
systems of ordinary differential
equations . . . . . . . . . . . . . . . 449--463
Alain Sei and
W. W. Symes Error analysis of numerical schemes for
the wave equation in heterogeneous media 465--480
Chao Wei Su A domain decomposition method for
determining the diffusion coefficient of
a two-dimensional linear diffusion
equation in the time domain . . . . . . 481--493
Apostolos Gerasoulis Dedication . . . . . . . . . . . . . . . 1--2
I. Babu\vska and
T. Strouboulis and
S. K. Gangaraj and
C. S. Upadhyay $ \eta $-superconvergence in the
interior of locally refined meshes of
quadrilaterals: superconvergence of the
gradient in finite element solutions of
Laplace's and Poisson's equations . . . 3--49
Aleksander A. Samarskii Theory of stability and regularization
of difference schemes and its
application to ill-posed problems of
mathematical physics . . . . . . . . . . 51--64
Gerard R. Richter An explicit finite element method for
the wave equation . . . . . . . . . . . 65--80
Georgios D. Akrivis and
Vassilios A. Dougalis and
Nikolaos A. Kampanis Error estimates for finite element
methods for a wide-angle parabolic
equation . . . . . . . . . . . . . . . . 81--100
Doyle D. Knight A fully implicit Navier--Stokes
algorithm using an unstructured grid and
flux difference splitting . . . . . . . 101--128
J. G. Blom and
J. G. Verwer VLUGR3: a vectorizable adaptive grid
solver for PDEs in $3$D. Part I:
Algorithmic aspects and applications . . 129--156
H. L. deCougny and
K. D. Devine and
J. E. Flaherty and
R. M. Loy and
C. Özturan and
M. S. Shephard Load balancing for the parallel adaptive
solution of partial differential
equations . . . . . . . . . . . . . . . 157--182
Yu-Ling Lai and
Apostolos Hadjidimos and
Elias N. Houstis and
John R. Rice General interior Hermite collocation
methods for second-order elliptic
partial differential equations . . . . . 183--200
B. P. Sommeijer and
P. J. van der Houwen and
J. Kok Time integration of three-dimensional
numerical transport models . . . . . . . 201--225
David R. Kincaid Stationary second-degree iterative
methods . . . . . . . . . . . . . . . . 227--237
C. Brezinski and
M. Redivo Zaglia On the kernel of sequence
transformations . . . . . . . . . . . . 239--244
J. M. Sanz-Serna An unconventional symplectic integrator
of W. Kahan . . . . . . . . . . . . . . 245--250
R. Beauwens and
B. Tombuyses Graph perturbations . . . . . . . . . . 251--264
E. Asarin and
E. Gorin and
M. Krasnosel\cprimeski\uì and
N. Kuznetsov On some algorithms for non-parametric
identification of linear systems . . . . 265--269
Ding Lee A high-order numerical method for
solving ocean acoustic problems . . . . 271--281
Apostolos Gerasoulis and
Tao Yang Performance bounds for column-block
partitioning of parallel Gaussian
elimination and Gauss--Jordan methods 283--297
R. Bwemba and
R. Pasquetti On the influence matrix used in the
spectral solution of the 2D Stokes
problem (vorticity-stream function
formulation) . . . . . . . . . . . . . . 299--315
Joseph E. Flaherty and
Peter K. Moore Integrated space--time adaptive $ h
p$-refinement methods for parabolic
systems . . . . . . . . . . . . . . . . 317--341
Z. Jackiewicz and
R. Vermiglio and
M. Zennaro Variable stepsize diagonally implicit
multistage integration methods for
ordinary differential equations . . . . 343--367
Shirley B. Pomeranz and
Travis A. Tull Construction of some iterative methods
for solving boundary element linear
systems . . . . . . . . . . . . . . . . 369--381
Relja Vulanovi\'c A uniform convergence result for
semilinear singular perturbation
problems violating the standard
stability condition . . . . . . . . . . 383--399
Drumi D. Ba\uìnov and
Zdzis\law Kamont and
Emil Minchev Difference methods for impulsive
differential--functional equations . . . 401--416
M. Berzins and
J. M. Ware Positive cell-centered finite volume
discretization methods for hyperbolic
equations on irregular meshes . . . . . 417--438
J. A. Cuminato On the uniform convergence of a
perturbed collocation method for a class
of Cauchy integral equations . . . . . . 439--455
Barry Koren Condition improvement for point
relaxation in multigrid, subsonic
Euler-flow computations . . . . . . . . 457--469
Peter K. Moore Comparison of adaptive methods for
one-dimensional parabolic systems . . . 471--488
L. M. Abia and
J. C. López Marcos Runge--Kutta methods for age-structured
population models . . . . . . . . . . . 1--17
P. Bocher and
H. De Meyer and
V. Fack and
G. Vanden Berghe A parallel iterated correction algorithm
for the numerical solution of Volterra
equations . . . . . . . . . . . . . . . 19--32
Leland Jameson On the spline-based wavelet
differentiation matrix . . . . . . . . . 33--45
Jozef Ka\vcur and
Karol Mikula Solution of nonlinear diffusion
appearing in image smoothing and edge
detection . . . . . . . . . . . . . . . 47--59
J. Molenaar Adaptive multigrid applied to a bipolar
transistor problem . . . . . . . . . . . 61--83
Messaoud Benantar and
U\=gur Do\=grusöz and
Joseph E. Flaherty and
Mukkai S. Krishnamoorthy Triangle graphs . . . . . . . . . . . . 85--96
Laurent Jay Convergence of Runge--Kutta methods for
differential-algebraic systems of index
$3$ . . . . . . . . . . . . . . . . . . 97--118
M. V. Moorthy Numerical inversion of two-dimensional
Laplace transforms --- Fourier series
representation . . . . . . . . . . . . . 119--127
William S. Russell Polynomial interpolation schemes for
internal derivative distributions on
structured grids . . . . . . . . . . . . 129--171
E. A. H. Zuur Time-step sequences for parabolic
differential equations . . . . . . . . . 173--186
Doyle D. Knight Erratum to: ``A fully implicit
Navier--Stokes algorithm using an
unstructured grid and flux difference
splitting'' [Appl. Numer. Math. \bf 16
(1994), no. 1--2, 101--128, MR
95j:76073] . . . . . . . . . . . . . . . 187--187
J. Cash and
L. Dieci Special issue on numerical methods for
ordinary differential equations . . . . 189--346
Daniele Andreucci and
Monica Bianchini and
Aldo Pasquali Identification of parameters in polymer
crystallization . . . . . . . . . . . . 191--211
J. C. Butcher and
P. Chartier Parallel general linear methods for
stiff ordinary differential and
differential algebraic equations . . . . 213--222
J. R. Cash and
I. Vieira Block $ 6 (5) $ and $ 7 (6) $ explicit
Runge--Kutta formulae . . . . . . . . . 223--234
M. T. Diamantakis The NUMOL solution of time-dependent
PDEs using DESI Runge--Kutta formulae 235--249
Luca Dieci and
Georg Bader Block iterations and compactification
for periodic block dominant systems
associated to invariant tori
approximation . . . . . . . . . . . . . 251--274
Luca Dieci and
Erik S. Van Vleck Computation of a few Lyapunov exponents
for continuous and discrete dynamical
systems . . . . . . . . . . . . . . . . 275--291
Timo Eirola Monotonicity of quadratic forms with
symplectic Runge--Kutta methods . . . . 293--298
Donald Estep A modified equation for dispersive
difference schemes . . . . . . . . . . . 299--309
Alan C. Hindmarsh Avoiding BDF stability barriers in the
MOL solution of advection-dominated
problems . . . . . . . . . . . . . . . . 311--318
Gerald Moore Geometric methods for computing
invariant manifolds . . . . . . . . . . 319--331
Alessandra Papini About the central difference method for
singularly perturbed boundary value
problems . . . . . . . . . . . . . . . . 333--346
Mario Ahués and
Alain Largillier Two numerical approximations for a class
of weakly singular integral operators 347--362
S. González-Pinto and
J. I. Montijano and
L. Rández Iterative schemes for three-stage
implicit Runge--Kutta methods . . . . . 363--382
Abderrazek Karoui and
Rémi Vaillancourt A numerical method for vanishing-lag
delay differential equations . . . . . . 383--395
Martin Kiehl Parallel one-step methods with minimal
parallel stages . . . . . . . . . . . . 397--409
Seongjai Kim Parallel multidomain iterative
algorithms for the Helmholtz wave
equation . . . . . . . . . . . . . . . . 411--429
G. Lube and
D. Weiss Stabilized finite element methods for
singularly perturbed parabolic problems 431--459
M. Prévost Rate of convergence of Padé approximants
for a particular Wynn series . . . . . . 461--469
P. Amodio and
W. L. Golik and
F. Mazzia Variable-step boundary value methods
based on reverse Adams schemes and their
grid redistribution . . . . . . . . . . 5--21
P. Amodio and
F. Mazzia Boundary value methods based on
Adams-type methods . . . . . . . . . . . 23--35
M. Arnold A perturbation analysis for the
dynamical simulation of mechanical
multi-body systems . . . . . . . . . . . 37--56
W. Auzinger and
G. Kirlinger Kreiss resolvent conditions and
strengthened Cauchy--Schwarz
inequalities . . . . . . . . . . . . . . 57--67
G. Vanden Berghe and
M. Van Daele and
H. De Meyer A modified difference scheme for
periodic and semiperiodic
Sturm--Liouville problems . . . . . . . 69--78
L. Brugnano and
D. Trigiante High-order multistep methods for
boundary value problems . . . . . . . . 79--94
M. P. Calvo and
E. Hairer Accurate long-term integration of
dynamical systems . . . . . . . . . . . 95--105
M. P. Calvo and
E. Hairer Further reduction in the number of
independent order conditions for
symplectic, explicit Partitioned
Runge--Kutta and Runge--Kutta--Nyström
methods . . . . . . . . . . . . . . . . 107--114
R. Gerstberger and
M. Günther Charge-oriented extrapolation methods in
digital circuit simulation . . . . . . . 115--125
P. Ghelardoni and
G. Gheri and
P. Marzulli Error estimates for parallel shooting
using initial or boundary value methods 127--139
Paolo Ghelardoni and
Pietro Marzulli Stability of some boundary value methods
for IVPs . . . . . . . . . . . . . . . . 141--153
Desmond J. Higham and
Tasneem Sardar Existence and stability of fixed points
for a discretised nonlinear
reaction-diffusion equation with delay 155--173
K. J. in 't Hout On the convergence of waveform
relaxation methods for stiff nonlinear
ordinary differential equations . . . . 175--190
W. Hundsdorfer and
J. G. Verwer A note on splitting errors for
advection-reaction equations . . . . . . 191--199
J.-P. Kauthen Implicit Runge--Kutta methods for
singularly perturbed
integro-differential systems . . . . . . 201--210
Oswald Knoth and
Ralf Wolke Numerical methods for the solution of
large kinetic systems . . . . . . . . . 211--221
Jens Lang Two-dimensional fully adaptive solutions
of reaction-diffusion equations . . . . 223--240
Christian Lubich and
Alexander Ostermann Interior estimates for time
discretizations of parabolic equations 241--251
W. Lucht A finite element method for an ill-posed
problem . . . . . . . . . . . . . . . . 253--266
Roswitha März On linear differential-algebraic
equations and linearizations . . . . . . 267--292
T. Neumeyer and
G. Engl and
P. Rentrop Numerical benchmark for the charge cycle
in a combustion engine . . . . . . . . . 293--305
Bernhard A. Schmitt and
Rüdiger Weiner Matrix-free $ {W}$-methods using a
multiple Arnoldi iteration . . . . . . . 307--320
Johannes Schropp Using dynamical systems methods to solve
minimization problems . . . . . . . . . 321--335
Reinhold von Schwerin and
Hans Georg Bock A Runge--Kutta starter for a multistep
method for differential-algebraic
systems with discontinuous effects . . . 337--350
Felix Schwitzer $W$-methods for semilinear parabolic
equations . . . . . . . . . . . . . . . 351--366
M. N. Spijker The effect of the stopping of the Newton
iteration in implicit linear multistep
methods . . . . . . . . . . . . . . . . 367--386
J. J. B. de Swart Efficient parallel predictor--corrector
methods . . . . . . . . . . . . . . . . 387--396
W. A. van der Veen and
J. J. B. de Swart and
P. J. van der Houwen Convergence aspects of step-parallel
iteration of Runge--Kutta methods . . . 397--411
J. G. Verwer and
D. Simpson Explicit methods for stiff ODEs from
atmospheric chemistry . . . . . . . . . 413--430
M. A. DeLong and
J. M. Ortega SOR as a preconditioner . . . . . . . . 431--440
E. de Sturler and
H. A. van der Vorst Reducing the effect of global
communication in GMRES(m) and CG on
parallel distributed memory computers 441--459
Gamal N. Elnagar and
M. A. Kazemi A cell-averaging Chebyshev spectral
method for the controlled Duffing
oscillator . . . . . . . . . . . . . . . 461--471
Donald A. French and
Sòren Jensen Global dynamics of a discontinuous
Galerkin approximation to a class of
reaction--diffusion equations . . . . . 473--487
V. S. Ryaben\cprimeki\uì and
S. V. Tsynkov An effective numerical technique for
solving a special class of ordinary
difference equations . . . . . . . . . . 489--501
J. M. Bull and
T. L. Freeman Parallel globally adaptive algorithms
for multi-dimensional integration . . . 3--16
K. Burrage and
A. Williams and
J. Erhel and
B. Pohl The implementation of a Generalized
Cross Validation algorithm using
deflation techniques for linear systems 17--31
Rudnei Dias da Cunha and
Tim Hopkins The Parallel Iterative Methods (PIM)
package for the solution of systems of
linear equations on parallel computers 33--50
M. B. van Gijzen Large scale finite element computations
with GMRES-like methods on a Cray Y-MP 51--62
Peter Michielse Parallel multigrid using PVM . . . . . . 63--69
Maya G. Neytcheva Experience in implementing the Algebraic
Multilevel Iteration method on a
SIMD-type computer . . . . . . . . . . . 71--90
Margreet Nool Explicit parallel block Cholesky
algorithms on the Cray APP . . . . . . . 91--114
C. W. Oosterlee The convergence of parallel multiblock
multigrid methods . . . . . . . . . . . 115--128
E. de Sturler Incomplete block LU preconditioners on
slightly overlapping subdomains for a
massively parallel computer . . . . . . 129--146
R. W. C. P. Verstappen and
A. E. P. Veldman Direct numerical simulation of
turbulence on a Connection Machine CM-5 147--158
Lex Wolters and
Gerard Cats and
Nils Gustafsson and
Tomas Wilhelmsson Data-parallel numerical methods in a
weather forecast model . . . . . . . . . 159--171
W. Schönauer and
R. Weiss Preface . . . . . . . . . . . . . . . . 173--174
Willi Schönauer and
Rüdiger Weiss An engineering approach to generalized
conjugate gradient methods and beyond 175--206
Rüdiger Weiss A theoretical overview of Krylov
subspace methods . . . . . . . . . . . . 207--233
Gerard L. G. Sleijpen and
Henk A. van der Vorst An overview of approaches for the stable
computation of hybrid BiCG methods . . . 235--254
Jane K. Cullum Peaks, plateaus, numerical instabilities
in a Galerkin minimal residual pair of
methods for solving $ A x = b $ . . . . 255--278
Homer F. Walker Residual smoothing and peak/plateau
behavior in Krylov subspace methods . . 279--286
Ulrike Meier Yang and
Kyle A. Gallivan A new family of preconditioned iterative
solvers for nonsymmetric linear systems 287--317
Roland W. Freund and
Noël M. Nachtigal Software for simplified Lanczos and QMR
algorithms . . . . . . . . . . . . . . . 319--341
Yousef Saad and
Kesheng Wu Design of an iterative solution module
for a parallel sparse matrix library
(P\_SPARSLIB) . . . . . . . . . . . . . 343--357
Victor Eijkhout A library of distributed iterative
linear system solvers . . . . . . . . . 359--373
David M. Young and
Shengyou Xiao and
Karen R. Baker Periodically generated iterative methods
for solving elliptic equations . . . . . 375--387
Zhongzhi Bai A class of hybrid algebraic multilevel
preconditioning methods . . . . . . . . 389--399
Begoña Cano and
Bosco García-Archilla A generalization to variable stepsizes
of Störmer methods for second-order
differential equations . . . . . . . . . 401--417
C. de Nicola and
G. Pinto and
R. Tognaccini A normal mode stability analysis of
multiblock algorithms for the solution
of fluid-dynamics equations . . . . . . 419--431
Paul M. de Zeeuw Development of semi-coarsening
techniques . . . . . . . . . . . . . . . 433--465
Salvador Garcia Higher-order incremental unknowns,
hierarchical basis, and nonlinear
dissipative evolutionary equations . . . 467--494
Chun-Hua Guo Incomplete block factorization
preconditioning for linear systems
arising in the numerical solution of the
Helmholtz equation . . . . . . . . . . . 495--508
Semyon V. Tsynkov Errata to: ``An effective numerical
technique for solving a special class of
ordinary difference equations'' [Appl.
Numer. Math. \bf 18 (1995), no. 4,
489--501, MR 96g:65124] by V. S.
Ryaben\cprimeki\uì and Semyon V. Tsynkov 509--509
Kenneth R. Jackson The numerical solution of large systems
of stiff IVPs for ODEs . . . . . . . . . 5--20
M. E. Hosea and
L. F. Shampine Analysis and implementation of TR-BDF2 21--37
Kevin Burrage and
Carolyn Dyke and
Bert Pohl On the performance of parallel waveform
relaxations for differential systems . . 39--55
Timothy Maly and
Linda R. Petzold Numerical methods and software for
sensitivity analysis of
differential-algebraic systems . . . . . 57--79
M. Berzins and
J. M. Ware Solving convection and
convection-reaction problems using the
method of lines . . . . . . . . . . . . 83--99
Weizhang Huang and
Robert D. Russell A moving collocation method for solving
time dependent partial differential
equations . . . . . . . . . . . . . . . 101--116
Peter K. Moore and
Robert H. Dillon A comparison of preconditioners in the
solution of parabolic systems in three
space dimensions using DASPK and a high
order finite element method . . . . . . 117--128
U. Nowak A fully adaptive MOL-treatment of
parabolic $1$-D problems with
extrapolation techniques . . . . . . . . 129--141
Luis M. Abia and
J. C. López-Marcos and
Julia Martínez Blow-up for semidiscretizations of
reaction-diffusion equations . . . . . . 145--156
Christopher E. Elmer and
Erik S. Van Vleck Computation of traveling waves for
spatially discrete bistable
reaction-diffusion equations . . . . . . 157--169
W. E. Schiesser PDE boundary conditions from minimum
reduction of the PDE . . . . . . . . . . 171--179
Thiab R. Taha Inverse scattering transform numerical
schemes for nonlinear evolution
equations and the method of lines . . . 181--187
J. G. Verwer and
J. G. Blom and
W. Hundsdorfer An implicit-explicit approach for
atmospheric transport-chemistry problems 191--209
K. M. Dempsey and
I. Gladwell Numerical instability in the
breathing-mode dynamics of elastic rings 211--220
S. F. Ashby and
S. L. Lee and
L. R. Petzold and
P. E. Saylor and
E. Seidel Computing spacetime curvature via
differential algebraic equations . . . . 221--234
Wen Zhang Using MOL to solve a high order
nonlinear PDE with a moving boundary in
the simulation of a sintering process 235--244
J. C. Butcher A history of Runge--Kutta methods . . . 247--260
P. J. van der Houwen The development of Runge--Kutta methods
for partial differential equations . . . 261--272
Charles K. Chui and
Jian-ao A. Lian A study of orthonormal multi-wavelets 273--298
C. Brezinski Extrapolation algorithms and Padé
approximations: a historical survey . . 299--318
Kim S. Bey and
J. Tinsley Oden and
Abani Patra A parallel $ h p$-adaptive discontinuous
Galerkin method for hyperbolic
conservation laws . . . . . . . . . . . 321--336
Rupak Biswas and
Roger C. Strawn Mesh quality control for
multiply-refined tetrahedral grids . . . 337--348
Nikos Chrisochoides Multithreaded model for the dynamic
load-balancing of parallel adaptive PDE
computations . . . . . . . . . . . . . . 349--365
Karen D. Devine and
Joseph E. Flaherty Parallel adaptive $ h p$-refinement
techniques for conservation laws . . . . 367--386
Y. Kallinderis A $3$-D finite-volume method for the
Navier--Stokes equations with adaptive
hybrid grids . . . . . . . . . . . . . . 387--406
Joseph Oliger and
Xiaolei Zhu Stability and error estimation for
component adaptive grid methods . . . . 407--426
James J. Quirk A parallel adaptive grid algorithm for
computational shock hydrodynamics . . . 427--453
Claus Bendtsen Highly stable parallel Runge--Kutta
methods . . . . . . . . . . . . . . . . 1--8
Jean-Paul Chehab Solution of generalized Stokes problems
using hierarchical methods and
Incremental Unknowns . . . . . . . . . . 9--42
J. A. Ferreira Supraconvergence of a class of moving
grid methods for solving a nonlinear
problem . . . . . . . . . . . . . . . . 43--56
R. Sadaka Padé approximation of vector functions 57--70
Jie Shen On a new pseudocompressibility method
for the incompressible Navier--Stokes
equations . . . . . . . . . . . . . . . 71--90
R. L. Trotta Multidomain finite elements for
advection--diffusion equations . . . . . 91--118
R. Alt and
J. Vignes Validation of results of collocation
methods for ODEs with the CADNA library 119--139
P. S. Crossley and
R. Saunders and
D. M. Causon and
C. G. Mingham A spectral method with subcell
resolution for shock wave calculations 141--153
Gunilla Efraimsson and
Gunilla Kreiss A note on the effect of artificial
viscosity on solutions of conservation
laws . . . . . . . . . . . . . . . . . . 155--173
A. Sri Ranga and
E. X. L. de Andrade and
G. M. Phillips Associated symmetric quadrature rules 175--183
Theodore Tachim Medjo The Navier--Stokes equations in the
vorticity-velocity formulation: The
two-dimensional case . . . . . . . . . . 185--206
G. A. Blaisdell and
E. T. Spyropoulos and
J. H. Qin The effect of the formulation of
nonlinear terms on aliasing errors in
spectral methods . . . . . . . . . . . . 207--219
Alan Feldstein and
Peter R. Turner Overflow and underflow in multiplication
and division . . . . . . . . . . . . . . 221--239
P. González-Vera and
J. C. Santos-León Properties of certain piecewise
polynomial product integration rules . . 241--264
Yu-Ling Lai and
Apostolos Hadjidimos and
Elias N. Houstis A generalized Schwarz splitting method
based on Hermite collocation for
elliptic boundary value problems . . . . 265--290
Alison Ramage A structured matrix problem in dynamical
systems . . . . . . . . . . . . . . . . 291--301
B. P. Sommeijer and
J. Kok Splitting methods for three-dimensional
bio-chemical transport . . . . . . . . . 303--320
Mirjana Stojanovi\'c Splines difference methods for a
singular perturbation problem . . . . . 321--333
Colin J. Aro A stiff ODE preconditioner based on
Newton linearization . . . . . . . . . . 335--352
C. Brezinski and
M. Redivo Zaglia Vector and matrix sequence
transformations based on biorthogonality 353--373
William L. Briggs and
Van Emden Henson A table of analytical discrete Fourier
transforms . . . . . . . . . . . . . . . 375--384
J. C. Butcher and
Z. Jackiewicz Construction of diagonally implicit
general linear methods of type 1 and 2
for ordinary differential equations . . 385--415
A. Fdil A new method for solving a nonlinear
equation with error estimations . . . . 417--429
H. G. Khajah and
E. L. Ortiz On a differential-delay equation arising
in number theory . . . . . . . . . . . . 431--437
Jinn-Liang Liu and
Ing-Jer Lin and
Miin-Zhih Shih and
Ren-Chuen Chen and
Mao-Chung Hsieh Object-oriented programming of adaptive
finite element and finite volume methods 439--467
Xinmin Wang Convergence for the MSOR iterative
method applied to $ {H}$-matrices . . . 469--479
Peter Albrecht The common basis of the theories of
linear cyclic methods and Runge--Kutta
methods . . . . . . . . . . . . . . . . 3--21
A. Aubry and
P. Chartier On the structure of errors for Radau IA
methods applied to index-$2$ DAEs . . . 23--34
Winfried Auzinger and
Reinhard Frank and
Hans J. Stetter Vienna contributions to the development
of RK-methods . . . . . . . . . . . . . 35--49
T. S. Baker and
J. R. Dormand and
J. P. Gilmore and
P. J. Prince Continuous approximation with embedded
Runge--Kutta methods . . . . . . . . . . 51--62
A. Bellen and
R. Vermiglio Some applications of continuous
Runge--Kutta methods . . . . . . . . . . 63--80
K. Burrage and
P. M. Burrage High strong order explicit Runge--Kutta
methods for stochastic ordinary
differential equations . . . . . . . . . 81--101
J. C. Butcher and
J. M. Sanz-Serna The number of conditions for a
Runge--Kutta method to have effective
order $p$ . . . . . . . . . . . . . . . 103--111
J. C. Butcher and
G. Wanner Runge--Kutta methods: Some historical
notes . . . . . . . . . . . . . . . . . 113--151
M. P. Calvo and
A. Iserles and
A. Zanna Runge--Kutta methods for orthogonal and
isospectral flows . . . . . . . . . . . 153--163
J. R. Cash Runge--Kutta methods for the solution of
stiff two-point boundary value problems 165--177
R. P. K. Chan $ {A}$-stability of implicit
Runge--Kutta extrapolations . . . . . . 179--203
E. Hairer and
M. Zennaro On error growth functions of
Runge--Kutta methods . . . . . . . . . . 205--216
Desmond J. Higham Runge--Kutta type methods for orthogonal
integration . . . . . . . . . . . . . . 217--223
T. E. Hull and
W. H. Enright and
K. R. Jackson Runge--Kutta research at Toronto . . . . 225--236
K. J. in 't Hout On the stability of adaptations of
Runge--Kutta methods to systems of delay
differential equations . . . . . . . . . 237--250
Z. Jackiewicz and
R. Vermiglio and
M. Zennaro Regularity properties of Runge--Kutta
methods for ordinary differential
equations . . . . . . . . . . . . . . . 251--262
A. Kværnò and
S. P. Nòrsett and
B. Owren Runge--Kutta research in Trondheim . . . 263--277
Christian Lubich and
Alexander Ostermann Runge--Kutta time discretization of
reaction-diffusion and Navier--Stokes
equations: Nonsmooth-data error
estimates and applications to long-time
behaviour . . . . . . . . . . . . . . . 279--292
L. F. Shampine and
I. Gladwell Software based on explicit RK formulas 293--308
M. N. Spijker Error propagation in Runge--Kutta
methods . . . . . . . . . . . . . . . . 309--325
P. J. van der Houwen and
B. P. Sommeijer CWI contributions to the development of
parallel Runge--Kutta methods . . . . . 327--344
J. H. Verner High-order explicit Runge--Kutta pairs
with low stage order . . . . . . . . . . 345--357
J. G. Verwer Explicit Runge--Kutta methods for
parabolic partial differential equations 359--379
J. Wensch and
K. Strehmel and
R. Weiner A class of linearly-implicit
Runge--Kutta methods for multibody
systems . . . . . . . . . . . . . . . . 381--398
J. J. Dongarra and
B. Straughan and
D. W. Walker Chebyshev tau-$ Q Z $ algorithm methods
for calculating spectra of hydrodynamic
stability problems . . . . . . . . . . . 399--434
M. Ganesh A general convergence theory for
nonlinear equations with application to
integro-differential equations . . . . . 435--449
C. E. Mannix, Jr. Potential function construction by use
of an adaptive mesh algorithm for a
class of singular integral equations . . 451--475
Bernadette Palmerio and
Alain Dervieux Multimesh and multiresolution analysis
for mesh adaptive interpolation . . . . 477--493
D. Braess and
R. Sarazin An efficient smoother for the Stokes
problem . . . . . . . . . . . . . . . . 3--19
Stephan Dahlke and
Wolfgang Dahmen and
Reinhard Hochmuth and
Reinhold Schneider Stable multiscale bases and local error
estimation for elliptic problems . . . . 21--47
E. Dick and
J. Steelant Coupled solution of the steady
compressible Navier--Stokes equations
and the $k$-$ \varepsilon $ turbulence
equations with a multigrid method . . . 49--61
T. Grauschopf and
M. Griebel and
H. Regler Additive multilevel preconditioners
based on bilinear interpolation,
matrix-dependent geometric coarsening
and algebraic multigrid coarsening for
second-order elliptic PDEs . . . . . . . 63--95
Ronald H. W. Hoppe and
Barbara Wohlmuth Multilevel iterative solution and
adaptive mesh refinement for mixed
finite element discretizations . . . . . 97--117
M. Jung On the parallelization of multi-grid
methods using a non-overlapping domain
decomposition data structure . . . . . . 119--137
Peter Oswald Intergrid transfer operators and
multilevel preconditioners for
nonconforming discretizations . . . . . 139--158
Rob Stevenson Experiments in $3$D with a three-point
hierarchical basis preconditioner . . . 159--175
Jürgen Bey and
Gabriel Wittum Downwind numbering: robust multigrid for
convection-diffusion problems . . . . . 177--192
P. Alonso and
M. Gasca and
J. M. Peña Backward error analysis of Neville
elimination . . . . . . . . . . . . . . 193--204
G. A. Evans and
J. R. Webster A high order, progressive method for the
evaluation of irregular oscillatory
integrals . . . . . . . . . . . . . . . 205--218
A. Fdil Some results of convergence acceleration
for a general $ \Theta $-type algorithm 219--240
J. Fish and
A. Suvorov and
V. Belsky Hierarchical composite grid method for
global-local analysis of laminated
composite shells . . . . . . . . . . . . 241--258
Begoña Melendo and
Manuel Palacios A new approach to the construction of
multirevolution methods and their
implementation . . . . . . . . . . . . . 259--274
Faezeh Toutounian The use of the CADNA library for
validating the numerical results of the
hybrid GMRES algorithm . . . . . . . . . 275--289
Penny J. Davies and
Dugald B. Duncan Averaging techniques for time-marching
schemes for retarded potential integral
equations . . . . . . . . . . . . . . . 291--310
Paolo Ghelardoni Approximations of Sturm--Liouville
eigenvalues using boundary value methods 311--325
G. Haase Hierarchical extension operators plus
smoothing in domain decomposition
preconditioners . . . . . . . . . . . . 327--346
Karol Mikula Solution of nonlinear curvature driven
evolution of plane convex curves . . . . 347--360
Martin Stynes and
Hans-Görg Roos The midpoint upwind scheme . . . . . . . 361--374
Byron Drachman Minimization of certain cost functions
with error bounds . . . . . . . . . . . 375--379
H. Brunner and
A. Makroglou and
R. K. Miller Mixed interpolation collocation methods
for first and second order Volterra
integro-differential equations with
periodic solution . . . . . . . . . . . 381--402
C. Calgaro and
J. Laminie and
R. Temam Dynamical multilevel schemes for the
solution of evolution equations by
hierarchical finite element
discretization . . . . . . . . . . . . . 403--442
K. Davey and
S. Bounds A preconditioning strategy for the
solution of linear boundary element
systems using the GMRES method . . . . . 443--456
Jan Nordström On extrapolation procedures at
artificial outflow boundaries for the
time-dependent Navier--Stokes equations 457--468
Luigi Brugnano and
Donato Trigiante A new mesh selection strategy for ODEs 1--21
K. Douak and
P. Maroni On $d$-orthogonal Tchebychev
polynomials. I . . . . . . . . . . . . . 23--53
Weimin Han and
Sòren Jensen and
Igor Shimansky The Ka\vcanov method for some nonlinear
problems . . . . . . . . . . . . . . . . 57--79
A. Feldstein and
Z. Jackiewicz Volterra centennial. Selected papers.
2nd international conference on the
numerical solution of Volterra and delay
equations, May 1996, Tempe, AZ, USA . . 81--438
Hermann Brunner Hermann Brunner, 1896--1996: One hundred
years of Volterra integral equations of
the first kind . . . . . . . . . . . . . 83--93
J.-P. Kauthen A survey of singularly perturbed
Volterra equations . . . . . . . . . . . 95--114
H. Brunner and
A. Makroglou and
R. K. Miller On mixed collocation methods for
Volterra integral equations with
periodic solution . . . . . . . . . . . 115--130
Pedro Lima and
Teresa Diogo An extrapolation method for a Volterra
integral equation with weakly singular
kernel . . . . . . . . . . . . . . . . . 131--148
E. J. Mansky An open problem in the numerical
analysis of systems of Volterra integral
equations of the second kind in two
space-like variables . . . . . . . . . . 149--151
Christopher T. H. Baker and
Arsalang Tang Stability analysis of continuous
implicit Runge--Kutta methods for
Volterra integro-differential systems
with unbounded delays . . . . . . . . . 153--173
W. H. Enright and
Min Hu Continuous Runge--Kutta methods for
neutral Volterra integro-differential
equations with delay . . . . . . . . . . 175--190
V. D. Potapov Numerical method for investigation of
stability of stochastic
integro-differential equations . . . . . 191--201
P. J. van der Houwen and
B. P. Sommeijer Euler--Chebyshev methods for
integro-differential equations . . . . . 203--218
A. Bellen Contractivity of continuous Runge--Kutta
methods for delay differential equations 219--232
M. N. Spijker Numerical stability, resolvent
conditions and delay differential
equations . . . . . . . . . . . . . . . 233--246
Wenjie Zhu and
Linda R. Petzold Asymptotic stability of linear delay
differential-algebraic equations and
numerical methods . . . . . . . . . . . 247--264
Z. Jackiewicz and
R. Vermiglio and
M. Zennaro Regularity properties of Runge--Kutta
methods for delay differential equations 265--278
A. Bellen and
N. Guglielmi and
L. Torelli Asymptotic stability properties of $
{\Theta } $-methods for the pantograph
equation . . . . . . . . . . . . . . . . 279--293
Arieh Iserles Exact and discretized stability of the
pantograph equation . . . . . . . . . . 295--308
Yunkang Liu Numerical investigation of the
pantograph equation . . . . . . . . . . 309--317
S. P. Corwin and
D. Sarafyan and
S. Thompson DKLAG6: a code based on continuously
imbedded sixth-order Runge--Kutta
methods for the solution of
state-dependent functional-differential
equations . . . . . . . . . . . . . . . 319--330
J. C. Butcher An introduction to ``almost
Runge--Kutta'' methods . . . . . . . . . 331--342
J. C. Butcher and
P. Chartier A generalization of singly-implicit
Runge--Kutta methods . . . . . . . . . . 343--350
J. C. Butcher and
S. Tracogna Order conditions for two-step
Runge--Kutta methods . . . . . . . . . . 351--364
E. Celledoni and
I. Moret A Krylov projection method for systems
of ODEs . . . . . . . . . . . . . . . . 365--378
James M. Hyman and
Jia Li Disease transmission models with biased
partnership selection . . . . . . . . . 379--392
Ferenc Hartung and
Terry L. Herdman and
Janos Turi On existence, uniqueness and numerical
approximation for neutral equations with
state-dependent delays . . . . . . . . . 393--409
Young Ik Kim and
Alan Feldstein Bifurcation and $k$-cycles of a
finite-dimensional iterative map, with
applications to logistic delay equations 411--424
Tasneem K. Sardar and
Desmond J. Higham Dynamics of constant and variable
stepsize methods for a nonlinear
population model with delay . . . . . . 425--438
E. F. F. Botta and
K. Dekker and
Y. Notay and
A. van der Ploeg and
C. Vuik and
F. W. Wubs and
P. M. de Zeeuw How fast the Laplace equation was solved
in 1995 . . . . . . . . . . . . . . . . 439--455
Christian Engstler and
Peter Kaps A comparison of one-step methods for
multibody system dynamics in descriptor
and state space form . . . . . . . . . . 457--468
Alfredo Noel Iusem An interior point method for the
nonlinear complementarity problem . . . 469--482
R. Sadaka An algorithm for constructing a class of
Padé approximants of vector functions . . 483--499
Jun Zhang Multigrid with inexact minimal residual
smoothing acceleration . . . . . . . . . 501--512
Basem S. Attili Tracing implicitly defined curves and
the use of singular value decomposition 1--11
Zhi-Hao Cao A note on the convergence behavior of
GMRES . . . . . . . . . . . . . . . . . 13--20
A. Fdil A new technique of selection between
sequence transformations . . . . . . . . 21--40
William F. Feehery and
John E. Tolsma and
Paul I. Barton Efficient sensitivity analysis of
large-scale differential--algebraic
systems . . . . . . . . . . . . . . . . 41--54
P. W. Hemker and
C. Pflaum Approximation on partially ordered sets
of regular grids . . . . . . . . . . . . 55--87
Michael Hinze On the numerical approximation and
computation of minimal surface continua
bounded by one-parameter families of
polygonal contours . . . . . . . . . . . 89--116
Shuangsuo Zhao and
Guofeng Zhang and
Changyin Wang The convergence of two Newton-like
methods for solving block nonlinear
equations and a class of $r$-point $ (r
+ 1)^{\rm st}$-order $A$-stable
one-block methods . . . . . . . . . . . 117--133
J. M. Sanz-Serna and
J. G. Verwer Special issue on time integration . . . 135--320
I. Ahmad and
M. Berzins An algorithm for ODEs from atmospheric
dispersion problems . . . . . . . . . . 137--149
Uri M. Ascher and
Steven J. Ruuth and
Raymond J. Spiteri Implicit--explicit Runge--Kutta methods
for time-dependent partial differential
equations . . . . . . . . . . . . . . . 151--167
Luigi Brugnano and
Donato Trigiante On the potentiality of sequential and
parallel codes based on extended
trapezoidal rules (ETRs) . . . . . . . . 169--184
C. Engstler and
C. Lubich MUR8: a multirate extension of the
eighth-order Dormand--Prince method . . 185--192
J. Frank and
W. Hundsdorfer and
J. G. Verwer On the stability of implicit--explicit
linear multistep methods . . . . . . . . 193--205
I. Gladwell and
K. Bouas-Dockery and
R. W. Brankin A Fortran 90 separable Hamiltonian
system solver . . . . . . . . . . . . . 207--217
E. Hairer Variable time step integration with
symplectic methods . . . . . . . . . . . 219--227
Desmond J. Higham Regular Runge--Kutta pairs . . . . . . . 229--241
P. J. van der Houwen and
B. P. Sommeijer and
J. Kok The iterative solution of fully implicit
discretizations of three-dimensional
transport models . . . . . . . . . . . . 243--256
P. J. van der Houwen and
W. A. van der Veen The solution of implicit differential
equations on parallel computers . . . . 257--274
Robert I. McLachlan and
Stephen K. Gray Optimal stability polynomials for
splitting methods, with application to
the time-dependent Schrödinger equation 275--286
T. Neumeyer and
P. Rentrop The DAE-aspect of the charge cycle in a
combustion engine . . . . . . . . . . . 287--295
Robert D. Skeel and
Meiqing Zhang Cheap implicit symplectic integrators 297--302
R. Weiner and
B. A. Schmitt and
H. Podhaisky ROWMAP---a ROW-code with Krylov
techniques for large stiff ODEs . . . . 303--319
Igor A. Blatov and
Victoria V. Blatova and
Yurii B. Rozhec and
Vadim V. Strygin Galerkin--Petrov method for strongly
nonlinear singularly perturbed boundary
value problems on special meshes . . . . 321--332
Frédéric Bonnet and
Frédéric Poupaud Berenger absorbing boundary condition
with time finite-volume scheme for
triangular meshes . . . . . . . . . . . 333--354
Carlo L. Bottasso A new look at finite elements in time: a
variational interpretation of
Runge--Kutta methods . . . . . . . . . . 355--368
Hermann Brunner and
Helmut Roth Collocation in space and time:
experience with the Korteweg--de Vries
equation . . . . . . . . . . . . . . . . 369--390
Stephen L. Campbell and
Yangchun Zhong Jacobian reuse in explicit integrators
for higher index DAEs . . . . . . . . . 391--412
James M. Hyman and
Mikhail Shashkov Adjoint operators for the natural
discretizations of the divergence,
gradient and curl on logically
rectangular grids . . . . . . . . . . . 413--442
L. Lopez and
T. Politi Numerical procedures based on
Runge--Kutta methods for solving
isospectral flows . . . . . . . . . . . 443--459
Anne C. Morlet and
Nancy J. Lybeck and
Kenneth L. Bowers The Schwarz alternating sinc domain
decomposition method . . . . . . . . . . 461--483
B. Rhanizar On extrapolation methods in optimization 485--498
Craig Saltiel and
Joseph Kolibal Parallel radiative transport using a
unified matrix approach . . . . . . . . 499--509
Kevin Farrell and
Luke O'C. Drury An explicit, adaptive grid algorithm for
one-dimensional initial value problems 3--12
Mart Borsboom Development of an error-minimizing
adaptive grid method . . . . . . . . . . 13--21
C. J. Budd and
G. J. Collins An invariant moving mesh scheme for the
nonlinear diffusion equation . . . . . . 23--39
V. D. Didenko and
B. Silbermann An approximate method on non-equidistant
partitions for double layer potential
equation . . . . . . . . . . . . . . . . 41--48
A. Vande Wouwer and
P. Saucez and
W. E. Schiesser Some user-oriented comparisons of
adaptive grid methods for partial
differential equations in one space
dimension . . . . . . . . . . . . . . . 49--62
Weizhang Huang and
Robert D. Russell A high dimensional moving mesh strategy 63--76
M. J. Baines Grid adaptation via node movement . . . 77--96
Paul A. Zegeling $r$-refinement for evolutionary PDEs
with finite elements or finite
differences . . . . . . . . . . . . . . 97--104
Jens Lang Adaptive FEM for reaction--diffusion
equations . . . . . . . . . . . . . . . 105--116
Martin Berzins and
Philip J. Capon and
Peter K. Jimack On spatial adaptivity and interpolation
when using the method of lines . . . . . 117--133
Rupak Biswas and
Roger C. Strawn Tetrahedral and hexahedral mesh
adaptation for CFD problems . . . . . . 135--151
Randolph E. Bank A simple analysis of some a posteriori
error estimates . . . . . . . . . . . . 153--164
Mark Ainsworth and
Bill Senior An adaptive refinement strategy for $ h
p$-finite element computations . . . . . 165--178
Lutz Angermann and
Peter Knabner and
Kathrin Thiele An error estimator for a finite volume
discretization of density driven flow in
porous media . . . . . . . . . . . . . . 179--191
Asif S. Usmani An $h$-adaptive SUPG-FEM solution of the
pure advection equation . . . . . . . . 193--202
Carsten Carstensen and
Petr Plechá\vc Adaptive algorithms for scalar
non-convex variational problems . . . . 203--216
Jörn Behrens Atmospheric and ocean modeling with an
adaptive finite element solver for the
shallow-water equations . . . . . . . . 217--226
C. J. Budd and
A. R. Humphries Adaptive methods for semi-linear
elliptic equations with critical
exponents and interior singularities . . 227--240
J. E. Flaherty and
R. M. Loy and
C. Özturan and
M. S. Shephard and
B. K. Szymanski and
J. D. Teresco and
L. H. Ziantz Parallel structures and dynamic load
balancing for adaptive finite element
computation . . . . . . . . . . . . . . 241--263
William F. Mitchell The full domain partition approach to
distributing adaptive grids . . . . . . 265--275
Reza O. Abbasian and
Graham F. Carey Hybrid MPE-iterative schemes for linear
and nonlinear systems . . . . . . . . . 277--291
Jie Huang An efficient algorithm to solve a
sequence of linear equations arising in
nonlinear H$^\infty $ control . . . . . 293--306
J. Ka\vcur and
S. Luckhaus Approximation of degenerate parabolic
systems by nondegenerate elliptic and
parabolic systems . . . . . . . . . . . 307--326
Hyun Young Lee and
Jang Rae Lee Error estimates for a single-phase
quasilinear Stefan problem in one space
dimension . . . . . . . . . . . . . . . 327--342
J. J. Martínez and
J. M. Peña Fast algorithms of Björck--Pereyra type
for solving Cauchy--Vandermonde linear
systems . . . . . . . . . . . . . . . . 343--352
Guy Moebs A multilevel method for the resolution
of a stochastic weakly damped nonlinear
Schrödinger equation . . . . . . . . . . 353--375
Yair Shapira Multigrid methods for $3$-D definite and
indefinite problems . . . . . . . . . . 377--398
Luis M. Abia and
J. C. López-Marcos and
Julia Martínez On the blow-up time convergence of
semidiscretizations of
reaction--diffusion equations . . . . . 399--414
Thomas Apel and
Gert Lube Anisotropic mesh refinement for a
singularly perturbed reaction diffusion
model problem . . . . . . . . . . . . . 415--433
Tomás Chacón Rebollo and
Daniel Franco Coronil and
Francisco Ortegón Gallego and
Isabel Sánchez Muñoz Modelling of compressible flows with
highly oscillating initial data by
homogenization . . . . . . . . . . . . . 435--464
M. A. DeLong and
J. M. Ortega SOR as a preconditioner II . . . . . . . 465--481
Ya Yan Lu Computing the logarithm of a symmetric
positive definite matrix . . . . . . . . 483--496
Bo Strand Numerical studies of hyperbolic IBVP
with high-order finite difference
operators satisfying a summation by
parts rule . . . . . . . . . . . . . . . 497--521
J. C. Butcher and
Z. Jackiewicz Construction of high order diagonally
implicit multistage integration methods
for ordinary differential equations . . 1--12
Panagiotis Chatzipantelidis Explicit multistep methods for nonstiff
partial differential equations . . . . . 13--31
Penny J. Davies A stability analysis of a time marching
scheme for the general surface electric
field integral equation . . . . . . . . 33--57
Manuel Tarrazo Calculating uncertainty intervals in
approximate equation systems . . . . . . 59--67
M. Van Daele and
H. De Meyer and
T. Van Hecke and
G. Vanden Berghe On a class of $P$-stable mono-implicit
Runge--Kutta--Nyström methods . . . . . . 69--82
J. van Leersum A numerical model of a high performance
two-stroke engine . . . . . . . . . . . 83--108
A. Benazzouz $ {\rm GL}(E) $-quasilinear
transformations and acceleration . . . . 109--122
Zhi-Hao Cao On the QMR approach for iterative
methods including coupled three-term
recurrences for solving nonsymmetric
linear systems . . . . . . . . . . . . . 123--140
Ya Yan Lu A complex coefficient rational
approximation of ROOT(1+x) . . . . . . . 141--154
Richard J. Wain Spurious fixed points of a variable step
size, variable order, predictor
corrector algorithm . . . . . . . . . . 155--169
J. Wensch An eight stage fourth order partitioned
Rosenbrock method for multibody systems
in index-3 formulation . . . . . . . . . 171--183
T. Zhang and
G. H. Golub and
K. H. Law Eigenvalue perturbation and generalized
Krylov subspace method . . . . . . . . . 185--202
Zhi-Hao Cao A convergence theorem on an extrapolated
iterative method and its applications 203--209
C. Clavero and
J. C. Jorge and
F. Lisbona and
G. I. Shishkin A fractional step method on a special
mesh for the resolution of
multidimensional evolutionary
convection--diffusion problems . . . . . 211--231
M. P. Laburta Starting algorithms for implicit
Runge--Kutta--Nyström methods . . . . . . 233--251
Zhilin Li The immersed interface method using a
finite element formulation . . . . . . . 253--267
Nora Okong'o and
Doyle D. Knight Implicit unstructured Navier--Stokes
simulation of leading edge separation
over a pitching airfoil . . . . . . . . 269--308
Wenjie Zhu and
Linda R. Petzold Asymptotic stability of Hessenberg delay
differential--algebraic equations of
retarded or neutral type . . . . . . . . 309--325
Saul Abarbanel and
David Gottlieb On the construction and analysis of
absorbing layers in CEM . . . . . . . . 331--340
Bjorn Engquist and
Hong-Kai Zhao Absorbing boundary conditions for domain
decomposition . . . . . . . . . . . . . 341--365
Dan Givoli and
Igor Patlashenko Optimal local non-reflecting boundary
conditions . . . . . . . . . . . . . . . 367--384
Thomas Hagstrom and
John Goodrich Experiments with approximate radiation
boundary conditions for computational
aeroacoustics . . . . . . . . . . . . . 385--402
Thomas Hagstrom and
S. I. Hariharan A formulation of asymptotic and exact
boundary conditions using local
operators . . . . . . . . . . . . . . . 403--416
Isaac Harari A unified variational approach to
domain-based computation of exterior
problems of time-harmonic acoustics . . 417--441
Assad A. Oberai and
Manish Malhotra and
Peter M. Pinsky On the implementation of the
Dirichlet-to-Neumann radiation condition
for iterative solution of the Helmholtz
equation . . . . . . . . . . . . . . . . 443--464
Semyon V. Tsynkov Numerical solution of problems on
unbounded domains. A review . . . . . . 465--532
E. Turkel and
A. Yefet Absorbing PML boundary layers for
wave-like equations . . . . . . . . . . 533--557
M. P. Calvo and
M. A. López-Marcos and
J. M. Sanz-Serna Variable step implementation of
geometric integrators . . . . . . . . . 1--16
Zhangxin Chen and
Do Y. Kwak $V$-cycle Galerkin-multigrid methods for
nonconforming methods for nonsymmetric
and indefinite problems . . . . . . . . 17--35
Donald A. French Discontinuous Galerkin finite element
methods for a forward--backward heat
equation . . . . . . . . . . . . . . . . 37--44
F. A. J. Straetemans Resolvent conditions for discretizations
of diffusion--convection--reaction
equations in several space dimensions 45--67
M. van Veldhuizen and
J. A. Hendriks and
C. A. J. Appelo Numerical computation in heterovalent
chromatography . . . . . . . . . . . . . 69--89
P. J. van der Houwen and
K. Strehmel and
R. Weiner Selected papers from the 8th conference
on the numerical treatment of
differential equations, September 1--5,
1997, Alexisbad, Germany . . . . . . . . 91--94
Pierluigi Amodio and
Luigi Brugnano ParalleloGAM: a parallel code for ODEs 95--106
F. Iavernaro and
F. Mazzia Solving ordinary differential equations
by generalized Adams methods: properties
and implementation techniques . . . . . 107--126
Luigi Brugnano and
Donato Trigiante Parallel implementation of block
boundary value methods on nonlinear
problems: theoretical results . . . . . 127--141
M. Arnold The stabilization of linear multistep
methods for constrained mechanical
systems . . . . . . . . . . . . . . . . 143--159
K. Burrage and
P. M. Burrage General order conditions for stochastic
Runge--Kutta methods for both commuting
and non-commuting stochastic ordinary
differential equation systems . . . . . 161--177
J. C. Butcher Order and effective order . . . . . . . 179--191
J. C. Butcher and
D. J. L. Chen ESIRK methods and variable stepsize . . 193--207
Stephen L. Campbell and
Kevin D. Yeomans Behavior of the nonunique terms in
general DAE integrators . . . . . . . . 209--226
J. R. Cash and
R. W. Wright Continuous extensions of deferred
correction schemes for the numerical
solution of nonlinear two-point boundary
value problems . . . . . . . . . . . . . 227--244
C. Eichler-Liebenow and
P. J. van der Houwen and
B. P. Sommeijer Analysis of approximate factorization in
iteration methods . . . . . . . . . . . 245--258
C. Eichler-Liebenow and
N. H. Cong and
R. Weiner and
K. Strehmel Linearly implicit splitting methods for
higher space-dimensional parabolic
differential equations . . . . . . . . . 259--274
J. A. Ferreira and
R. D. Grigorieff On the supraconvergence of elliptic
finite difference schemes . . . . . . . 275--292
Michael Hilden and
Gerd Steinebach ENO-discretizations in MOL-applications:
some examples in river hydraulics . . . 293--308
Zoltán Horváth Positivity of Runge--Kutta and
diagonally split Runge--Kutta methods 309--326
Oswald Knoth and
Ralf Wolke Implicit--explicit Runge--Kutta methods
for computing atmospheric reactive flows 327--341
E. Kurgan A boundary element solution of the
inhomogeneous magnetostatic problems . . 343--358
G. Lube and
F. C. Otto and
H. Müller A non-overlapping domain decomposition
method for parabolic initial-boundary
value problems . . . . . . . . . . . . . 359--369
W. Lucht and
K. Strehmel Discretization based indices for
semilinear partial differential
algebraic equations . . . . . . . . . . 371--386
A. Murua Runge--Kutta--Nyström methods for general
second order ODEs with application to
multi-body systems . . . . . . . . . . . 387--399
B. Paternoster Runge--Kutta(--Nyström) methods for ODEs
with periodic solutions based on
trigonometric polynomials . . . . . . . 401--412
H. Podhaisky and
R. Weiner and
B. A. Schmitt Numerical experiments with Krylov
integrators . . . . . . . . . . . . . . 413--425
Bernhard A. Schmitt and
Rüdiger Weiner Polynomial preconditioning in
Krylov--ROW-methods . . . . . . . . . . 427--437
Hans-Eberhard Scholz The examination of nonlinear stability
and solvability of the algebraic
equations for the implicit Taylor series
method . . . . . . . . . . . . . . . . . 439--458
B. Simeon Order reduction of stiff solvers at
elastic multibody systems . . . . . . . 459--475
Yvonne Wagner A moving grid algorithm for a heat
exchanger with phase changes . . . . . . 477--491
Robert D. Skeel Symplectic integration with
floating-point arithmetic and other
approximations . . . . . . . . . . . . . 3--18
David J. Hardy and
Daniel I. Okunbor and
Robert D. Skeel Symplectic variable step size
integration for $N$-body problems . . . 19--30
Benedict Leimkuhler Reversible adaptive regularization
methods for atomic $N$-body problems in
applied fields . . . . . . . . . . . . . 31--43
Sebastian Reich Preservation of adiabatic invariants
under symplectic discretization . . . . 45--55
Ernst Hairer and
Christian Lubich Invariant tori of dissipatively
perturbed Hamiltonian systems under
symplectic discretization . . . . . . . 57--71
Giancarlo Benettin and
Francesco Fass\`o From Hamiltonian perturbation theory to
symplectic integrators and back . . . . 73--87
Robert L. Warnock and
James A. Ellison From symplectic integrator to Poincaré
map: spline expansion of a map generator
in Cartesian coordinates . . . . . . . . 89--98
A. Murua Formal series and numerical integrators.
Part II: Application to index-$2$
differential-algebraic systems . . . . . 99--113
Hans Munthe-Kaas High order Runge--Kutta methods on
manifolds . . . . . . . . . . . . . . . 115--127
Timo Eirola Detection of generic one parameter
bifurcations of Hamiltonian equilibria 129--143
Luca Dieci and
Benedetta Morini and
Alessandra Papini and
Aldo Pasquali On real logarithms of nearby matrices
and structured matrix interpolation . . 145--165
Zhong-Zhi Bai and
Reinhard Nabben Some properties of the block matrices in
the parallel decomposition-type
relaxation methods . . . . . . . . . . . 167--170
T. S. Baker and
J. R. Dormand and
P. J. Prince Continuous approximation with embedded
Runge--Kutta--Nyström methods . . . . . . 171--188
J. L. Brown and
W. L. Etheridge Local approximation of functions over
points scattered in R$^m$ . . . . . . . 189--199
M. Kzaz Convergence acceleration of the
Gauss--Laguerre quadrature formula . . . 201--220
A. Murua Formal series and numerical integrators.
Part I: Systems of ODEs and symplectic
integrators . . . . . . . . . . . . . . 221--251
Franz Rendl Semidefinite programming and
combinatorial optimization . . . . . . . 255--281
Lieven Vandenberghe and
Stephen Boyd Applications of semidefinite programming 283--299
Jos F. Sturm and
Shuzhong Zhang Symmetric primal--dual path-following
algorithms for semidefinite programming 301--315
Arjan B. Berkelaar and
Jos F. Sturm and
Shuzhong Zhang Polynomial primal--dual cone affine
scaling for semidefinite programming . . 317--333
E. de Klerk and
C. Roos and
T. Terlaky Primal--dual potential reduction methods
for semidefinite programming using
affine-scaling directions . . . . . . . 335--360
D. Goldfarb and
K. Scheinberg On parametric semidefinite programming 361--377
Zhi-Quan Luo and
C. Roos and
T. Terlaky Complexity analysis of logarithmic
barrier decomposition methods for
semi-infinite linear programming . . . . 379--394
Erling D. Andersen and
Anders Damgaard Utility based option pricing with
proportional transaction costs and
diversification problems: an
interior-point optimization approach . . 395--422
Seyed Jafar Sadjadi and
K. Ponnambalam Advances in trust region algorithms for
constrained optimization . . . . . . . . 423--443
M. Ganesh and
I. H. Sloan Optimal order spline methods for
nonlinear differential and
integro--differential equations . . . . 445--478
Vadim G. Korneev and
Sòren Jensen Domain decomposition preconditioning in
the hierarchical $p$-version of the
finite element method . . . . . . . . . 479--518
Vera Lúcia Rocha Lopes and
José Mario Martínez and
Rosana Pérez On the local convergence of quasi-Newton
methods for nonlinear complementarity
problems . . . . . . . . . . . . . . . . 3--22
J. E. Souza de Cursi and
M. B. de Souza Cortes Approximate Gaussian distributions in
optimization by random perturbation
methods . . . . . . . . . . . . . . . . 23--30
V. Pereyra Asynchronous distributed solution of
large scale nonlinear inversion problems 31--40
Biswa Nath Datta Recent developments on nonmodal and
partial modal approaches for control of
vibration . . . . . . . . . . . . . . . 41--52
Biswa Nath Datta Large-scale matrix computations in
control . . . . . . . . . . . . . . . . 53--63
Julio Ruiz Claeyssen and
Germán Canahualpa and
Claudio Jung A direct approach to second-order matrix
non-classical vibrating equations . . . 65--78
Rubén Panta Pazos and
Marco Tullio de Vilhena Convergence in transport theory . . . . 79--92
P. M. Lima and
M. P. Carpentier Asymptotic expansions and numerical
approximation of non-linear degenerate
boundary-value problems . . . . . . . . 93--111
Sergio E. Zarantonello SGI parallel technology for graphics and
visualization . . . . . . . . . . . . . 113--123
Gerardo Cisneros and
Jeff P. Brooks High-performance computing at Silicon
Graphics/Cray Research . . . . . . . . . 125--135
Ricardo D. Arantes Code orderings for the solution of
sparse positive definite linear systems 137--140
R. M. Spitaleri Computational and visual advances in
multigrid grid generation . . . . . . . 141--152
U. Meier Yang and
K. A. Gallivan A new family of block methods . . . . . 155--173
Boris Wagner and
Rüdiger Weiss Minimization properties and short
recurrences . . . . . . . . . . . . . . 175--190
Caroline Le Calvez and
Yousef Saad Modified Krylov acceleration for
parallel environments . . . . . . . . . 191--212
Hartmut Häfner and
Willi Schönauer and
Rüdiger Weiss The program package LINSOL: Basic
concepts and realization . . . . . . . . 213--224
Svetoslav Markov An iterative method for algebraic
solution to interval equations . . . . . 225--239
Willi Schönauer Experiments with search directions for a
generalized CG method . . . . . . . . . 241--256
Seiji Fujino Estimation of conflict-free matrix
product preconditioner on vector
supercomputers . . . . . . . . . . . . . 257--266
Jens G. Schmidt and
Gerhard Starke Coarse space orthogonalization for
indefinite linear systems of equations
arising in geometrically nonlinear
elasticity . . . . . . . . . . . . . . . 267--280
L. A. Krukier Convergence acceleration of triangular
iterative methods based on the
skew-symmetric part of the matrix . . . 281--290
Thomas Huckle Approximate sparsity patterns for the
inverse of a matrix and preconditioning 291--303
Michele Benzi and
Miroslav Tuma A comparative study of sparse
approximate inverse preconditioners . . 305--340
Susanne Balle and
Jane Cullum A parallel algorithm for computing
eigenvalues of very large real symmetric
matrices on message passing
architectures . . . . . . . . . . . . . 341--365
Andrea Walther and
Andreas Griewank and
André Best Multiple vector--Jacobian products are
cheap . . . . . . . . . . . . . . . . . 367--377
Rüdiger Weiss and
Isabella Podgajezki Overview on new solvers for nonlinear
systems . . . . . . . . . . . . . . . . 379--391
D. J. Condon Corrected finite difference eigenvalues
of periodic Sturm--Liouville problems 393--401
J. Frank and
C. Vuik Parallel implementation of a multiblock
method with approximate subdomain
solution . . . . . . . . . . . . . . . . 403--423
W. A. Mulder Spurious modes in finite-element
discretizations of the wave equation may
not be all that bad . . . . . . . . . . 425--445
Jan Nordström On flux-extrapolation at supersonic
outflow boundaries . . . . . . . . . . . 447--457
B. Rhanizar Hybrid procedures for solving some
unconstrained nonlinear optimization
problems . . . . . . . . . . . . . . . . 459--474
Hongyi Yu Solving parabolic problems with
different time steps in different
regions in space based on domain
decomposition methods . . . . . . . . . 475--491
Frank Cameron A class of low order DIRK methods for a
class of DAEs . . . . . . . . . . . . . 1--16
Santos Galán and
William F. Feehery and
Paul I. Barton Parametric sensitivity functions for
hybrid discrete/continuous systems . . . 17--47
K. Jbilou and
A. Messaoudi and
H. Sadok Global FOM and GMRES algorithms for
matrix equations . . . . . . . . . . . . 49--63
Fabienne Jézéquel A validated parallel across time and
space solution of the heat transfer
equation . . . . . . . . . . . . . . . . 65--79
M. P. Laburta Starting algorithms for the iterations
of the RKN--Gauss methods . . . . . . . 81--101
M. Rahibe and
N. Aubry and
G. I. Sivashinsky Bifurcations in a planar propagating
flame as the size of the domain
increases . . . . . . . . . . . . . . . 103--115
Isaías Alonso-Mallo Explicit single step methods with
optimal order of convergence for partial
differential equations . . . . . . . . . 117--131
Haecheon Choi and
Michael Hinze and
Karl Kunisch Instantaneous control of backward-facing
step flows . . . . . . . . . . . . . . . 133--158
Qiya Hu Multilevel correction for discrete
collocation solutions of Volterra
integral equations with delay arguments 159--171
Mark A. M. Lynch Large amplitude instability in finite
difference approximations to the
Klein--Gordon equation . . . . . . . . . 173--182
Pablo Martín and
José M. Ferrándiz Numerical integration of perturbed
linear systems . . . . . . . . . . . . . 183--189
Karol Mikula and
Daniel \vSev\vcovi\vc Solution of nonlinearly curvature driven
evolution of plane curves . . . . . . . 191--207
Y. Notay A multilevel block incomplete
factorization preconditioning . . . . . 209--225
D. W. Zingg and
T. T. Chisholm Runge--Kutta methods for linear ordinary
differential equations . . . . . . . . . 227--238
Mikhail A. Botchev and
Gerard L. G. Sleijpen and
Henk A. van der Vorst Stability control for approximate
implicit time stepping schemes with
minimum residual iterations . . . . . . 239--253
Torsten Linß and
Martin Stynes A hybrid difference scheme on a Shishkin
mesh for linear convection-diffusion
problems . . . . . . . . . . . . . . . . 255--270
Rainald Löhner and
Chi Yang and
Eugenio Oñate and
Sergio Idelssohn An unstructured grid-based, parallel
free surface solver . . . . . . . . . . 271--293
P. Maroni Semi-classical character and finite-type
relations between polynomial sequences 295--330
Karl Meerbergen and
Miloud Sadkane Using Krylov approximations to the
matrix exponential operator in
Davidson's method . . . . . . . . . . . 331--351
P. J. van der Houwen and
E. Messina and
J. J. B. de Swart Parallel Störmer--Cowell methods for
high-precision orbit computations . . . 353--374
Peter Buchholz Structured analysis approaches for large
Markov chains . . . . . . . . . . . . . 375--404
Richard E. Ewing and
Junping Wang and
Suzanne L. Weekes On the simulation of multicomponent gas
flow in porous media . . . . . . . . . . 405--427
Donald A. French and
Sòren Jensen and
Thomas I. Seidman Finite element approximation of
solutions to a class of nonlinear
hyperbolic-parabolic equations . . . . . 429--450
Róbert Horváth Maximum norm contractivity in the
numerical solution of the
one-dimensional heat equation . . . . . 451--462
Mariusz Zióko Stability of method of characteristics 463--486
Mark A. Aves and
Penny J. Davies and
Desmond J. Higham The effect of quadrature on the dynamics
of a discretized nonlinear
integro-differential equation . . . . . 1--20
Baba Imoro Discretized obstacle problems with
penalties on nested grids . . . . . . . 21--34
Zhongxiao Jia A refined subspace iteration algorithm
for large sparse eigenproblems . . . . . 35--52
Jae Ryong Kweon Hierarchical basis a posteriori error
estimates for compressible Stokes flows 53--68
Wim Lenferink Pointwise convergence of approximations
to a convection-diffusion equation on a
Shishkin mesh . . . . . . . . . . . . . 69--86
Biyue Liu and
Dalin Tang A numerical simulation of viscous flows
in collapsible tubes with stenoses . . . 87--101
Marc Montagnac and
Jean-Marie Chesneaux Dynamic control of a BICGSTAB algorithm 103--117
M. R. Abril-Raymundo and
B. García-Archilla Approximation properties of a mapped
Chebyshev method . . . . . . . . . . . . 119--136
John C. Dallon Numerical aspects of discrete and
continuum hybrid models in cell biology 137--159
Shengtai Li and
Linda Petzold and
Wenjie Zhu Sensitivity analysis of
differential-algebraic equations: a
comparison of methods on a special
problem . . . . . . . . . . . . . . . . 161--174
Kristin Pfabe and
Thomas S. Shores Numerical methods for an ion transport
problem . . . . . . . . . . . . . . . . 175--193
A. Plaza and
G. F. Carey Local refinement of simplicial grids
based on the skeleton . . . . . . . . . 195--218
J. R. Rice and
P. Tsompanopoulou and
E. Vavalis Interface relaxation methods for
elliptic differential equations . . . . 219--245
A. Avudainayagam and
C. Vani Wavelet-Galerkin method for
integro-differential equations . . . . . 247--254
Kevin Burrage and
Tianhai Tian Parallel half-block methods for initial
value problems . . . . . . . . . . . . . 255--271
K. D. Edoh and
R. D. Russell and
W. Sun Computation of invariant tori by
orthogonal collocation . . . . . . . . . 273--289
Zhiping Li A periodic relaxation method for
computing microstructures . . . . . . . 291--303
José Valenciano and
Robert G. Owens A new adaptive modification strategy for
numerical solutions to elliptic boundary
value problems . . . . . . . . . . . . . 305--329
Johan Waldén Filter bank subdivisions of bounded
domains . . . . . . . . . . . . . . . . 331--357
Anonymous Preface . . . . . . . . . . . . . . . . 359--360
Bharat K. Soni Grid generation: Past, present, and
future . . . . . . . . . . . . . . . . . 361--369
Vitali V. Belikov and
Andrei Yu. Semenov Non-Sibsonian interpolation on arbitrary
system of points in Euclidean space and
adaptive isolines generation . . . . . . 371--387
Cristina Manzi and
Francesca Rapetti and
Luca Formaggia Function approximation on triangular
grids: some numerical results using
adaptive techniques . . . . . . . . . . 389--399
Angel Plaza and
Miguel A. Padrón and
Graham F. Carey A $3$D refinement/derefinement algorithm
for solving evolution problems . . . . . 401--418
Kris Riemslagh and
Jan Vierendeels and
Erik Dick An arbitrary Lagrangian--Eulerian
finite-volume method for the simulation
of rotary displacement pump flow . . . . 419--433
J. C. Yang and
T. C. Chen The structured grid generation using
Beta-spline curve/surface modeling . . . 435--445
Sergey A. Ivanenko and
Galina V. Muratova Adaptive grid shallow water modeling . . 447--482
R. M. Spitaleri Full-FAS multigrid grid generation
algorithms . . . . . . . . . . . . . . . 483--494
Anonymous Index . . . . . . . . . . . . . . . . . 495--496
Anonymous ICOSAHOM 1998 Conference . . . . . . . . 1--1
Anne Gelb and
Eitan Tadmor Enhanced spectral viscosity
approximations for conservation laws . . 3--21
J. S. Hesthaven Spectral penalty methods . . . . . . . . 23--41
A.-M. Matache and
Ch. Schwab Homogenization via $p$-FEM for problems
with microstructure . . . . . . . . . . 43--59
E. H. Mund A short survey on preconditioning
techniques in spectral calculations . . 61--70
Zohar Yosibash Computing singular solutions of elliptic
boundary value problems in polyhedral
domains using the $p$-FEM . . . . . . . 71--93
Ilan Bar-On and
Åke Edlund and
Uri Peskin Parallel solution of the
multidimensional Helmholtz/Schrödinger
equation using high order methods . . . 95--104
Jörg Reuter and
Dietmar Rempfer High order vorticity-velocity method for
the simulation of pipe flow transition 105--111
E. Turkel and
A. Yefet On the construction of a high order
difference scheme for complex domains in
a Cartesian grid . . . . . . . . . . . . 113--124
A. Yefet and
E. Turkel Fourth order compact implicit method for
the Maxwell equations with discontinuous
coefficients . . . . . . . . . . . . . . 125--134
F. Auteri and
L. Quartapelle Spectral influence matrix for vorticity
without corner pathology . . . . . . . . 135--142
Richard Baltensperger Improving the accuracy of the matrix
differentiation method for arbitrary
collocation points . . . . . . . . . . . 143--149
Bruno Costa and
Wai Sun Don On the computation of high order
pseudospectral derivatives . . . . . . . 151--159
H. Herrero and
A. M. Mancho Numerical modeling in Chebyshev
collocation methods applied to stability
analysis of convection problems . . . . 161--166
Weizhang Huang and
Tao Tang Pseudospectral solutions for steady
motion of a viscous fluid inside a
circular boundary . . . . . . . . . . . 167--173
J. P. Lynov and
K. Bergeron and
E. A. Coutsias and
A. H. Nielsen An accurate and efficient spectral
method for studies of the dynamical
properties of forced, circular shear
layers . . . . . . . . . . . . . . . . . 175--181
Jie Shen A new fast Chebyshev--Fourier algorithm
for Poisson-type equations in polar
geometries . . . . . . . . . . . . . . . 183--190
William F. Spotz and
Mark A. Taylor and
Paul N. Swarztrauber Fast and high-order solutions to the
spherical shallow water equations . . . 191--197
P. G. Dinesen and
J. S. Hesthaven and
J. P. Lynov A pseudospectral collocation time-domain
method for diffractive optics . . . . . 199--206
M. Y. Forestier and
R. Pasquetti and
R. Peyret and
C. Sabbah Spatial development of wakes using a
spectral multi-domain method . . . . . . 207--216
Javier de Frutos and
Julia Novo A postprocess based improvement of the
spectral element method . . . . . . . . 217--223
M. I. Gerritsma and
T. N. Phillips Compatible approximation spaces for the
velocity-pressure-stress formulation for
creeping flows . . . . . . . . . . . . . 225--231
Olivier Louchart and
Anthony Randriamampianina A spectral iterative domain
decomposition technique for the
incompressible Navier--Stokes equations 233--240
E. Mag\`ere and
M. O. Deville Simulation of the Taylor--Couette flow
in a finite geometry by spectral element
method . . . . . . . . . . . . . . . . . 241--249
R. M. Phillips and
T. N. Phillips Flow past a cylinder using a
semi-Lagrangian spectral element method 251--257
Mark A. Taylor and
B. A. Wingate A generalized diagonal mass matrix
spectral element method for
non-quadrilateral elements . . . . . . . 259--265
K. L. Tse Simulation of penetrative convection
with adaptive spectral domain
decomposition method . . . . . . . . . . 267--274
Dirk Wilhelm and
Leonhard Kleiser Stable and unstable formulations of the
convection operator in spectral element
simulations . . . . . . . . . . . . . . 275--280
B. Yang and
J. S. Hesthaven Multidomain pseudospectral computation
of Maxwell's equations in $3$-D general
curvilinear coordinates . . . . . . . . 281--289
Valeriano Comincioli and
Giovanni Naldi and
Terenzio Scapolla A wavelet-based method for numerical
solution of nonlinear evolution
equations . . . . . . . . . . . . . . . 291--297
Bingkun Li and
Graeme Fairweather and
Bernard Bialecki A Crank--Nicolson orthogonal spline
collocation method for vibration
problems . . . . . . . . . . . . . . . . 299--306
Andrew Tangborn and
Sara Q. Zhang Wavelet transform adapted to an
approximate Kalman filter system . . . . 307--316
Johan Waldén A general adaptive solver for hyperbolic
PDEs based on filter bank subdivisions 317--325
Avram Sidi and
Dan Givoli Stability and accuracy of optimal local
non-reflecting boundary conditions . . . 327--340
S. K. Godunov and
M. Sadkane and
M. Robbé Smoothing techniques and computation of
invariant subspaces of elliptic
operators . . . . . . . . . . . . . . . 341--347
Dominik Schötzau and
Klaus Gerdes and
Christoph Schwab Stable and stabilized $ h p$-finite
element methods for the Stokes problem 349--356
Spencer J. Sherwin and
Mark Ainsworth Unsteady Navier--Stokes solvers using
hybrid spectral/hp element methods . . . 357--363
José Valenciano and
Robert G. Owens An $h$-$p$ adaptive spectral element
method for Stokes flow . . . . . . . . . 365--371
Kelly Black Spectral element approximation of
convection-diffusion type problems . . . 373--379
Michel Fournié High order conservative difference
methods for $2$D drift-diffusion model
on non-uniform grid . . . . . . . . . . 381--392
R. M. Kirby and
T. C. Warburton and
I. Lomtev and
G. E. Karniadakis A discontinuous Galerkin spectral/ hp
method on hybrid grids . . . . . . . . . 393--405
Doron Levy and
Gabriella Puppo and
Giovanni Russo On the behavior of the total variation
in CWENO methods for conservation laws 407--414
Doron Levy and
Gabriella Puppo and
Giovanni Russo A third order central WENO scheme for
$2$D conservation laws . . . . . . . . . 415--421
Olga Lepsky and
Changqing Hu and
Chi-Wang Shu Analysis of the discontinuous Galerkin
method for Hamilton--Jacobi equations 423--434
Pinhas Z. Bar-Yoseph Time finite element methods for initial
value problems . . . . . . . . . . . . . 435--445
Norbert Heuer Schwarz method for systems of boundary
integral equations . . . . . . . . . . . 447--453
G.-S. Karamanos and
S. J. Sherwin A high order splitting scheme for the
Navier--Stokes equations with variable
viscosity . . . . . . . . . . . . . . . 455--462
Luca F. Pavarino Domain decomposition methods with small
overlap for $ Q_n$--$ Q_{n - 2}$
spectral elements . . . . . . . . . . . 463--470
Jie Shen and
Feng Wang and
Jinchao Xu A finite element multigrid
preconditioner for Chebyshev-collocation
methods . . . . . . . . . . . . . . . . 471--477
Anonymous V.S. Ryaben'kii . . . . . . . . . . . . 479--479
Victor Ryaben'kii Nonreflecting time-dependent boundary
conditions on artificial boundaries of
varying location and shape . . . . . . . 481--492
Bertil Gustafsson and
Lina Hemmingsson-Frändén Implicit high-order difference methods
and domain decomposition for hyperbolic
problems . . . . . . . . . . . . . . . . 493--500
D. S. Kamenetskii On one form of representing the
difference potentials . . . . . . . . . 501--508
Moshe Goldberg Stability criteria for finite difference
approximations to parabolic systems . . 509--515
P. G. Petropoulos Reflectionless sponge layers for the
numerical solution of Maxwell's
equations in cylindrical and spherical
coordinates . . . . . . . . . . . . . . 517--524
Yulian B. Radvogin and
Nikolai A. Zaitsev A locally implicit second order accurate
difference scheme for solving $2$D
time-dependent hyperbolic systems and
Euler equations . . . . . . . . . . . . 525--532
Victor S. Ryaben'kii and
Ivan L. Sofronov Difference potentials for the Helmholtz
equation in exterior domains . . . . . . 533--540
Anonymous Index . . . . . . . . . . . . . . . . . 541--543
Driss Beghdadi Second degree semi-classical forms of
class $ s = 1 $. The symmetric case . . 1--11
Silvia Bertoluzza and
Claudio Canuto and
Karsten Urban On the adaptive computation of integrals
of wavelets . . . . . . . . . . . . . . 13--38
Jan H. Brandts Superconvergence for triangular order k
=1 Raviart--Thomas mixed finite elements
and for triangular standard quadratic
finite element methods . . . . . . . . . 39--58
J. C. Butcher and
A. D. Singh The choice of parameters in parallel
general linear methods for stiff
problems . . . . . . . . . . . . . . . . 59--84
K. C. Chung and
G. A. Evans and
J. R. Webster A method to generate generalized
quadrature rules for oscillatory
integrals . . . . . . . . . . . . . . . 85--93
Frank E. Harris Spherical Bessel expansions of sine,
cosine, and exponential integrals . . . 95--98
S. Manservisi and
M. Gunzburger A variational inequality formulation of
an inverse elasticity problem . . . . . 99--126
Steven Pruess Qualitatively correct Sturm--Liouville
eigenfunctions . . . . . . . . . . . . . 127--141
Anonymous Preface . . . . . . . . . . . . . . . . 143--143
Igor Boglaev Domain decomposition in boundary layers
for singularly perturbed problems . . . 145--166
J. C. Butcher and
T. M. H. Chan Multi-step zero approximations for
stepsize control . . . . . . . . . . . . 167--177
J. C. Butcher and
D. J. L. Chen A new type of singly-implicit
Runge--Kutta method . . . . . . . . . . 179--188
R. P. K. Chan and
A. Murua Extrapolation of symplectic methods for
Hamiltonian problems . . . . . . . . . . 189--205
David Goeken and
Olin Johnson Runge--Kutta with higher order
derivative approximations . . . . . . . 207--218
Z. Jackiewicz and
R. A. Renaut Diagonally implicit multistage
integration methods for pseudospectral
solutions of the wave equation . . . . . 219--229
Othmar Koch and
Peter Kofler and
Ewa B. Weinmüller The implicit Euler method for the
numerical solution of singular initial
value problems . . . . . . . . . . . . . 231--252
Robert I. McLachlan and
G. R. W. Quispel Numerical integrators that contract
volume . . . . . . . . . . . . . . . . . 253--260
P. W. Sharp and
J. H. Verner Extended explicit Bel'tyukov pairs of
orders 4 and 5 for Volterra integral
equations of the second kind . . . . . . 261--274
Manfred R. Trummer Spectral methods in computing invariant
tori . . . . . . . . . . . . . . . . . . 275--292
Guido Van den Heuvel New stability results for Runge--Kutta
methods adapted to delay differential
equations . . . . . . . . . . . . . . . 293--308
Barbara Zubik-Kowal Chebyshev pseudospectral method and
waveform relaxation for differential and
differential-functional parabolic
equations . . . . . . . . . . . . . . . 309--328
Mark Ainsworth and
David Kay Approximation theory for the $ h
p$-version finite element method and
application to the non-linear Laplacian 329--344
M. Arnold and
B. Simeon Pantograph and catenary dynamics: a
benchmark problem and its numerical
solution . . . . . . . . . . . . . . . . 345--362
Roberto Capuzzo-Dolcetta and
Roberto Di Lisio A criterion for the choice of the
interpolation kernel in smoothed
particle hydrodynamics . . . . . . . . . 363--371
Prabir Daripa The fastest smooth Taylor bubble . . . . 373--379
R. Fairlie A numerical study of loading on plate
structures due to transient compressible
flows . . . . . . . . . . . . . . . . . 381--403
Aiguo Xiao and
Hongyuan Fu and
Shoufu Li and
Guangnan Chen Regularity properties of general linear
methods for initial value problems of
ordinary differential equations . . . . 405--420
Anonymous Index . . . . . . . . . . . . . . . . . 421--422
Ana B. González and
Pablo Martín and
David J. López On the numerical integration of orbital
problems with high order
Runge--Kutta--Nyström methods . . . . . . 1--10
Chengming Huang Dissipativity of one-leg methods for
dynamical systems with delays . . . . . 11--22
Pascal Poullet Staggered incremental unknowns for
solving Stokes and generalized Stokes
problems . . . . . . . . . . . . . . . . 23--41
Alfred Schmidt and
Kunibert G. Siebert A posteriori estimators for the $h$-$p$
version of the finite element method in
$1$D . . . . . . . . . . . . . . . . . . 43--66
Jun Zhang Sparse approximate inverse and
multilevel block ILU preconditioning
techniques for general sparse matrices 67--86
G. Beckett and
J. A. Mackenzie Convergence analysis of finite
difference approximations on
equidistributed grids to a singularly
perturbed boundary value problem . . . . 87--109
N. Calvo and
J. Durany and
C. Vázquez Numerical computation of ice sheet
profiles with free boundary models . . . 111--128
K. Davey and
M. J. Ward A successive preconditioned conjugate
gradient method for the minimization of
quadratic and nonlinear functions . . . 129--156
Jichun Li Multiblock mixed finite element methods
for singularly perturbed problems . . . 157--175
Christopher A. Kennedy and
Mark H. Carpenter and
R. Michael Lewis Low-storage, explicit Runge--Kutta
schemes for the compressible
Navier--Stokes equations . . . . . . . . 177--219
J. Laminie and
S. M. Mefire Three-dimensional computation of a
magnetic field by mixed finite elements
and boundary elements . . . . . . . . . 221--244
Thilo Sauter Computation of irregularly oscillating
integrals . . . . . . . . . . . . . . . 245--264
Isaías Alonso-Mallo Rational methods with optimal order of
convergence for partial differential
equations . . . . . . . . . . . . . . . 265--292
Carmen Arévalo and
Claus Führer and
Gustaf Söderlind Regular and singular $ \beta $-blocking
of difference corrected multistep
methods for nonstiff index-2 DAEs . . . 293--305
Daniel X. Guo A second order scheme for the
Navier--Stokes equations: Application to
the driven-cavity problem . . . . . . . 307--322
J. J. H. Miller and
E. O'Riordan and
G. I. Shishkin and
S. Wang A parameter-uniform Schwarz method for a
singularly perturbed reaction-diffusion
problem with an interior layer . . . . . 323--337
B. Paternoster A phase-fitted collocation-based
Runge--Kutta--Nyström method . . . . . . 339--355
Anonymous Index . . . . . . . . . . . . . . . . . 357--358
F. Bouchon and
F. Jauberteau A multilevel method applied in the
nonhomogeneous direction of the channel
flow problem . . . . . . . . . . . . . . 1--34
L. Lopez and
T. Politi Applications of the Cayley approach in
the numerical solution of matrix
differential systems on quadratic groups 35--55
Yuan-ming Wang and
Ben-yu Guo Petrov--Galerkin methods for nonlinear
systems without monotonicity . . . . . . 57--78
Leyla Daruis and
Pablo González-Vera Szeg\Ho polynomials and quadrature
formulas on the unit circle . . . . . . 79--112
P. J. van der Houwen and
B. P. Sommeijer Factorization in block-triangularly
implicit methods for shallow water
applications . . . . . . . . . . . . . . 113--128
Jichun Li Convergence and superconvergence
analysis of finite element methods on
highly nonuniform anisotropic meshes for
singularly perturbed reaction-diffusion
problems . . . . . . . . . . . . . . . . 129--154
Matthias K. Gobbert and
Andreas Prohl A comparison of classical and new finite
element methods for the computation of
laminate microstructure . . . . . . . . 155--178
J. C. Santos-León Computation of integrals over the unit
circle with nearby poles . . . . . . . . 179--195
A. Araújo and
A. Durán Error propagation in the numerical
integration of solitary waves. The
regularized long wave equation . . . . . 197--217
I. C. Demetriou and
E. A. Lipitakis Certain positive definite submatrices
that arise from binomial coefficient
matrices . . . . . . . . . . . . . . . . 219--229
Márcia Ap. Gomes-Ruggiero and
Orlando Francisco Lopes and
Véra Lucia Rocha Lopes A comparative analysis of the monotone
iteration method for elliptic problems 231--248
Alan Feldstein and
Richard H. Goodman Number shortening algorithms . . . . . . 249--274
Zhang Guofeng Stability of implicit one-block methods
for delay differential equations . . . . 275--279
Yao-Lin Jiang and
Omar Wing A note on convergence conditions of
waveform relaxation algorithms for
nonlinear differential-algebraic
equations . . . . . . . . . . . . . . . 281--297
Dalin Tang and
Chun Yang and
Shunichi Kobayashi and
David N. Ku Experiment-based numerical simulation of
unsteady viscous flow in stenotic
collapsible tubes . . . . . . . . . . . 299--320
Dimitar K. Dimitrov and
André Ronveaux Inequalities for zeros of associated
polynomials and derivatives of
orthogonal polynomials . . . . . . . . . 321--331
G. Chiavassa and
J. Liandrat A fully adaptive wavelet algorithm for
parabolic partial differential equations 333--358
E. Chacón Vera and
T. Chacón Rebollo On cubic spline approximations for the
vortex patch problem . . . . . . . . . . 359--387
Mario Mellado and
Rodolfo Rodríguez Efficient solution of fluid-structure
vibration problems . . . . . . . . . . . 389--400
L. Fournier and
S. Lanteri Multiplicative and additive parallel
multigrid algorithms for the
acceleration of compressible flow
computations on unstructured meshes . . 401--426
P. A. Forsyth and
K. R. Vetzal Implicit solution of uncertain
volatility/transaction cost option
pricing models with discretely observed
barriers . . . . . . . . . . . . . . . . 427--445
Foluso Ladeinde and
Xiaodan Cai and
Miguel R. Visbal and
Datta V. Gaitonde Turbulence spectra characteristics of
high order schemes for direct and large
eddy simulation . . . . . . . . . . . . 447--474
Ke Chen and
Paul J. Harris Efficient preconditioners for iterative
solution of the boundary element
equations for the three-dimensional
Helmholtz equation . . . . . . . . . . . 475--489
Anonymous Author Index --- Volume 36 (2001) . . . 491--492
Dugald B. Duncan and
Ali R. Soheili Approximating the Becker--Döring cluster
equations . . . . . . . . . . . . . . . 1--29
R. Eymard and
T. Gallouët and
R. Herbin Finite volume approximation of elliptic
problems and convergence of an
approximate gradient . . . . . . . . . . 31--53
Alemdar Hasanov and
Jennifer L. Mueller A numerical method for backward
parabolic problems with non-selfadjoint
elliptic operators . . . . . . . . . . . 55--78
Anja Fröhner and
Hans-Görg Roos The $ \epsilon $-uniform convergence of
a defect correction method on a Shishkin
mesh . . . . . . . . . . . . . . . . . . 79--94
Beatrice Pelloni and
Vassilios A. Dougalis Error estimates for a fully discrete
spectral scheme for a class of
nonlinear, nonlocal dispersive wave
equations . . . . . . . . . . . . . . . 95--107
Michael D. Tocci Sensitivity analysis of large-scale time
dependent PDEs . . . . . . . . . . . . . 109--125
Qiya Hu and
Dehao Yu Solving singularity problems in
unbounded domains by coupling of natural
BEM and composite grid FEM . . . . . . . 127--143
Sòren Christiansen Derivation and investigation of fifth
order quadrature formulas for biharmonic
boundary integral operators . . . . . . 145--159
C. J. Zhang and
S. Z. Zhou and
X. X. Liao D-convergence and GDN-stability of
Runge--Kutta methods for a class of
delay systems . . . . . . . . . . . . . 161--170
J. E. Castillo and
J. M. Hyman and
M. Shashkov and
S. Steinberg Fourth- and sixth-order conservative
finite difference approximations of the
divergence and gradient . . . . . . . . 171--187
Claus Bendtsen and
Ole H. Nielsen and
Lars B. Hansen Solving large nonlinear generalized
eigenvalue problems from Density
Functional Theory calculations in
parallel . . . . . . . . . . . . . . . . 189--199
Jürgen Fuhrmann and
Hartmut Langmach Stability and existence of solutions of
time-implicit finite volume schemes for
viscous nonlinear conservation laws . . 201--230
M. Günther and
M. Hoschek and
R. Weiner ROW methods adapted to a cheap Jacobian 231--240
Torsten Linß Sufficient conditions for uniform
convergence on layer-adapted grids . . . 241--255
Lydia Peres Hari and
Dan Givoli and
Jacob Rubinstein Computation of open Willmore-type
surfaces . . . . . . . . . . . . . . . . 257--269
Anonymous Contents . . . . . . . . . . . . . . . . v--vi
A. Kouibia and
M. Pasadas Approximation by shape preserving
interpolation splines . . . . . . . . . 271--288
Sergio Blanes High order numerical integrators for
differential equations using composition
and processing of low order methods . . 289--306
Shi-Wei Huang and
Tucker Carrington, Jr. Calculating interior eigenvalues and
eigenvectors with an implicitly
restarted and a filter diagonalization
method . . . . . . . . . . . . . . . . . 307--317
Zhi-Hao Cao On the convergence of nonstationary
iterative methods for symmetric positive
(semi)definite systems . . . . . . . . . 319--330
S. Barbeiro and
J. A. Ferreira A nonstandard linear finite element
method for a planar elasticity problem 331--340
Jinru Chen and
Xuejun Xu The mortar element method for
nonselfadjoint parabolic problem . . . . 341--358
Jürgen Fuhrmann Existence and uniqueness of solutions of
certain systems of algebraic equations
with off-diagonal nonlinearity . . . . . 359--370
A. J. Roberts Holistic discretization ensures fidelity
to Burgers' equation . . . . . . . . . . 371--396
María G. Armentano and
Ricardo G. Durán Error estimates for moving least square
approximations . . . . . . . . . . . . . 397--416
Suzanne L. Weekes Numerical computation of wave
propagation in dynamic materials . . . . 417--440
L. F. Shampine and
S. Thompson Solving DDEs in MATLAB . . . . . . . . . 441--458
Astrid Holstad The Koren upwind scheme for variable
gridsize . . . . . . . . . . . . . . . . 459--487
Mehdi Dehghan Determination of a control parameter in
the two-dimensional diffusion equation 489--502
Volker John Residual a posteriori error estimates
for two-level finite element methods for
the Navier--Stokes equations . . . . . . 503--518
Jianguo Huang and
Likang Li and
Jinru Chen On mortar-type Morley element method for
plate bending problem . . . . . . . . . 519--533
M. P. Calvo and
J. de Frutos and
J. Novo Linearly implicit Runge--Kutta methods
for advection-reaction-diffusion
equations . . . . . . . . . . . . . . . 535--549
Anonymous Author Index --- Volume 37 (2001) . . . 551--552
B. M. Brown and
P. K. Jimack and
M. D. Mihajlovi\'c An efficient direct solver for a class
of mixed finite element problems . . . . 1--20
Benito Chen and
Jeffrey H. Schenker Molecular dynamic simulations of gases
using a split-Hamiltonian method . . . . 21--48
Dalin Tang and
Chun Yang and
Shunichi Kobayashi and
David N. Ku Generalized finite difference method for
$3$-D viscous flow in stenotic tubes
with large wall deformation and collapse 49--68
B. Bujanda and
J. C. Jorge Stability results for fractional step
discretizations of time dependent
coefficient evolutionary problems . . . 69--86
Jae Ryong Kweon A mixed finite element method for a
compressible Stokes problem with high
Reynolds number . . . . . . . . . . . . 87--103
Gui-Ding Gu Some conditions for existence and
stability of relaxed incomplete LU
factorizations . . . . . . . . . . . . . 105--121
Ch. Tsitouras Optimized explicit Runge--Kutta pair of
orders $ 9 (8) $ . . . . . . . . . . . . 123--134
Nguyen Huu Cong Explicit pseudo two-step RKN methods
with stepsize control . . . . . . . . . 135--144
Tao Lin and
D. L. Russell A superconvergent method for
approximating the bending moment of
elastic beams with hysteresis damping 145--165
Tianhai Tian and
Kevin Burrage Implicit Taylor methods for stiff
stochastic differential equations . . . 167--185
V. S. Ryaben'kii and
S. V. Tsynkov and
V. I. Turchaninov Long-time numerical computation of
wave-type solutions driven by moving
sources . . . . . . . . . . . . . . . . 187--222
H. M. El-Hawary and
S. M. Mahmoud On some $4$-point spline collocation
methods for solving second-order initial
value problems . . . . . . . . . . . . . 223--236
Jan Nordström and
Martin Björck Finite volume approximations and strict
stability for hyperbolic problems . . . 237--255
D. R. van der Heul and
C. Vuik and
P. Wesseling Stability analysis of segregated
solution methods for compressible flow 257--274
Joab R. Winkler Condition numbers of a nearly singular
simple root of a polynomial . . . . . . 275--285
L. M. Abia and
J. C. López-Marcos and
J. Martínez The Euler method in the numerical
integration of reaction-diffusion
problems with blow-up . . . . . . . . . 287--313
Wenbin Liu and
Tao Tang Error analysis for a Galerkin-spectral
method with coordinate transformation
for solving singularly perturbed
problems . . . . . . . . . . . . . . . . 315--345
Hua-Zhong Tang Nonlinear stability of the relaxing
schemes for scalar conservation laws . . 347--359
W. Sun and
K. M. Liu Iterative algorithms for nonlinear
ordinary differential eigenvalue
problems . . . . . . . . . . . . . . . . 361--376
Boris Lastdrager and
Barry Koren and
Jan Verwer The sparse-grid combination technique
applied to time-dependent advection
problems . . . . . . . . . . . . . . . . 377--401
Guo Ben-yu Gegenbauer approximation and its
applications to differential equations
with rough asymptotic behaviors at
infinity . . . . . . . . . . . . . . . . 403--425
R. Luce and
S. Perez A finite volume scheme for an elliptic
equation with heterogeneous
coefficients. Application to a
homogenization problem . . . . . . . . . 427--444
Ivar Lie Well-posed transparent boundary
conditions for the shallow water
equations . . . . . . . . . . . . . . . 445--474
J. Blasco and
R. Codina Space and time error estimates for a
first order, pressure stabilized finite
element method for the incompressible
Navier--Stokes equations . . . . . . . . 475--497
Anonymous Author Index --- Volume 38 (2001) . . . 499--500
Zhiping Li Computations of needle-like
microstructures . . . . . . . . . . . . 1--15
Richard E. Ewing and
Yanping Lin A mathematical analysis for numerical
well models for non-Darcy flows . . . . 17--30
G. Beckett and
J. A. Mackenzie Uniformly convergent high order finite
element solutions of a singularly
perturbed reaction-diffusion equation
using mesh equidistribution . . . . . . 31--45
Natalia Kopteva and
Martin Stynes Approximation of derivatives in a
convection-diffusion two-point boundary
value problem . . . . . . . . . . . . . 47--60
Zi Cai Li and
Ningning Yan Global superconvergence for blending
surfaces by boundary penalty plus hybrid
FEMs . . . . . . . . . . . . . . . . . . 61--85
Seong-Lyong Kim and
Jeong-Yeol Choi and
In-Seuck Jeung and
Yang-Ho Park Application of approximate chemical
Jacobians for constant volume reaction
and shock-induced combustion . . . . . . 87--104
Soumyendu Raha and
Linda R. Petzold Constraint partitioning for structure in
path-constrained dynamic optimization
problems . . . . . . . . . . . . . . . . 105--126
Andrea C. Berti and
A. Sri Ranga Companion orthogonal polynomials: some
applications . . . . . . . . . . . . . . 127--149
Helmer André Friis and
Tor Arne Johansen and
Magne Haveraaen and
Hans Munthe-Kaas and
Åsmund Drottning Use of coordinate-free numerics in
elastic wave simulation . . . . . . . . 151--171
Monique Polit and
Antoine Genovesi and
Bernard Claudet Fuzzy logic observers for a biological
wastewater treatment process . . . . . . 173--180
Rosa Maria Spitaleri and
Riccardo March and
Daniele Arena A multigrid finite-difference method for
the solution of Euler equations of the
variational image segmentation . . . . . 181--189
Vassilios D. Tsiantos and
Thomas Schrefl and
Josef Fidler and
Athanasios Bratsos Cost-effective way to speed up
micromagnetic simulations in granular
media . . . . . . . . . . . . . . . . . 191--204
Yuan-Ming Wang Asymptotic behavior of the numerical
solutions for a system of nonlinear
integrodifferential reaction-diffusion
equations . . . . . . . . . . . . . . . 205--223
Shuangsuo Zhao An efficient implementation scheme of
the simplified Newton iteration for
block systems of nonlinear equations . . 225--237
A. Iserles and
S. P. Nòrsett Foreword . . . . . . . . . . . . . . . . 239--244
S. Blanes and
F. Casas and
J. Ros High-order Runge--Kutta--Nyström
geometric methods with processing . . . 245--259
C. J. Budd and
B. Leimkuhler and
M. D. Piggott Scaling invariance and adaptivity . . . 261--288
Begoña Cano and
H. Ralph Lewis A comparison of symplectic and
Hamilton's principle algorithms for
autonomous and non-autonomous systems of
ordinary differential equations . . . . 289--306
Vladimir Dorodnitsyn Noether-type theorems for difference
equations . . . . . . . . . . . . . . . 307--321
Kenth Engò and
Arne Marthinsen and
Hans Z. Munthe-Kaas DiffMan: an object-oriented MATLAB
toolbox for solving differential
equations on manifolds . . . . . . . . . 323--347
Stig Faltinsen and
Arne Marthinsen and
Hans Z. Munthe-Kaas Multistep methods integrating ordinary
differential equations on manifolds . . 349--365
Thomas Holder and
Ben Leimkuhler and
Sebastian Reich Explicit variable step-size and
time-reversible integration . . . . . . 367--377
A. Iserles and
S. P. Nòrsett and
A. F. Rasmussen Time symmetry and high-order Magnus
methods . . . . . . . . . . . . . . . . 379--401
Arne Marthinsen and
Brynjulf Owren Quadrature methods based on the Cayley
transform . . . . . . . . . . . . . . . 403--413
Daniel Stoffer and
Urs Kirchgraber Verification of chaotic behaviour in the
planar restricted three body problem . . 415--433
Antonella Zanna The Fer expansion and time-symmetry: A
Strang-type approach . . . . . . . . . . 435--459
Anonymous Author Index --- Volume 39 (2001) . . . 461--462
José Castillo and
Victor Pereyra and
Stanly Steinberg Preface . . . . . . . . . . . . . . . . 1--1
V. P. Pauca and
A. F. Rodriguez and
X. Sun and
K. S. Trivedi A methodology towards automatic
implementation of $N$-body algorithms 3--21
M. Paluszny and
R. Patterson and
F. Tovar The singular point of an algebraic cubic 23--31
E. Mendez and
A. Müller and
M. Paluszny Tubelike joints: a classical geometry
perspective . . . . . . . . . . . . . . 33--38
E. Méndez and
A. Müller and
M. Paluszny Three views of Dupin cyclides and
blending of cones . . . . . . . . . . . 39--47
Marcel Good and
Jean-Pierre Goux and
Jorge Nocedal and
Victor Pereyra iNEOS: an interactive environment for
nonlinear optimization . . . . . . . . . 49--57
J. Isenberg and
V. Pereyra and
D. Lawver Optimal design of steel frame structures 59--71
V. Pereyra and
G. Scherer Least squares scattered data fitting by
truncated SVDs . . . . . . . . . . . . . 73--86
Mário R. Retamoso and
Marco Túlio Vilhena and
Haroldo F. de Campos Velho and
Fernando M. Ramos Estimation of boundary condition in
hydrologic optics . . . . . . . . . . . 87--100
C. Bailey and
H. Lu and
D. Wheeler Computational modeling techniques for
reliability of electronic components on
printed circuit boards . . . . . . . . . 101--117
Julio R. Claeyssen and
Leonardo D. Chiwiacowsky and
German C. Suazo The impulse response in the symbolic
computing of modes for beams and plates 119--135
Ileana Miranda Cabrera and
Mayra Ramos Lima Mathematical study of the growth of
tetranichidae mites under-field
conditions: Relationship prey-predator 137--142
P. A. Farrell and
A. F. Hegarty and
J. J. H. Miller and
E. O'Riordan and
G. I. Shishkin An experimental technique for computing
parameter-uniform error estimates for
numerical solutions of singular
perturbation problems, with an
application to Prandtl's problem at high
Reynolds number . . . . . . . . . . . . 143--149
L. Jódar and
M. D. Roselló Analytic-numerical solutions with a
priori error bounds of initial value
problems for the continuous coefficient
wave equation . . . . . . . . . . . . . 151--166
Hermes Alves Filho and
Fernando Carvalho da Silva and
Ricardo C. Barros A coarse-mesh numerical method for
one-speed neutron transport eigenvalue
problems in two-dimensional Cartesian
geometry . . . . . . . . . . . . . . . . 167--177
Pablo Barrera-Sánchez and
Guilmer F. González Flores and
Francisco Javier Domínguez-Mota Some experiences on orthogonal grid
generation . . . . . . . . . . . . . . . 179--190
A. Chávez-González and
A. Cortés-Medina and
J. G. Tinoco-Ruiz Testing the quality of grids generated
using the direct approach . . . . . . . 191--206
José Castillo and
Terrence McGuinness Steady state diffusion problems on
non-trivial domains: Support operator
method integrated with direct optimized
grid generation . . . . . . . . . . . . 207--218
A. Cortés-Medina and
A. Chávez-González and
J. G. Tinoco-Ruiz A direct finite-difference scheme for
solving PDEs over general
two-dimensional regions . . . . . . . . 219--233
Carlos R. Torres and
J. Ochoa and
J. Castillo and
M. Van Woert Initial flow field of stratified flow
past an impulsively started sphere . . . 235--244
Yaqing Li and
Benito Chen Modeling of flow and transport at the
microscale . . . . . . . . . . . . . . . 245--259
Benito Chen and
Yaqing Li Simulation of thick biofilm growth at
the microscale . . . . . . . . . . . . . 261--271
Isabel Ramirez and
Jorg Imberger The numerical simulation of the
hydrodynamics of Barbamarco Lagoon,
Italy . . . . . . . . . . . . . . . . . 273--289
Andrei Bourchtein and
Lioudmila Bourchtein and
Joao Paulo Lukaszczyk Numerical simulation of incompressible
flows through granular porous media . . 291--306
A. Bourchtein Semi-Lagrangian semi-implicit space
splitting regional baroclinic
atmospheric model . . . . . . . . . . . 307--326
Obidio Rubio and
Elba Bravo and
Julio R. Claeyssen Thermally driven cavity flow with
Neumann condition for the pressure . . . 327--336
A. L. De Bortoli Multigrid based aerodynamical
simulations for the NACA 0012 airfoil 337--349
Le Ngoc Ly and
Roland W. Garwood, Jr. An ocean circulation model with surface
wave parameterization . . . . . . . . . 351--366
P. Arminjon and
A. St-Cyr and
A. Madrane New two- and three-dimensional
non-oscillatory central finite volume
methods on staggered Cartesian grids . . 367--390
Richard Gabriel Minimization of the Frobenius norm of a
complex matrix using planar similarities 391--414
Russell Williams and
Kevin Burrage and
Ian Cameron and
Minnie Kerr A four-stage index $2$ Diagonally
Implicit Runge--Kutta method . . . . . . 415--432
Reinaldo J. González-Requena and
Juan M. Guevara-Jordan New approach for describing transient
pressure response generated by
horizontal wells of arbitrary geometry 433--449
Sang Dong Kim and
Byeong Chun Shin $ H^1 $ least-squares method for the
velocity-pressure-stress formulation of
Stokes equations . . . . . . . . . . . . 451--465
Tao Lü and
Jing Lu Splitting extrapolation for solving
second order elliptic systems with
curved boundary in $ R^d $ by using
$d$-quadratic isoparametric finite
element . . . . . . . . . . . . . . . . 467--481
Anonymous Author Index --- Volume 40 (2002) . . . 483--485
Anonymous Master Index --- Volume 31--40 . . . . . 487--508
Willy Schönauer and
Martin H. Gutknecht Preface . . . . . . . . . . . . . . . . 1--6
Martin H. Gutknecht and
Miroslav Rozlo\vzník A framework for generalized conjugate
gradient methods --- with special
emphasis on contributions by Rüdiger
Weiss . . . . . . . . . . . . . . . . . 7--22
Willi Schönauer and
Hartmut Häfner Numerical experiments to optimize the
use of (I)LU preconditioning in the
iterative linear solver package LINSOL 23--37
Hartmut Häfner and
Willi Schönauer The integration of different variants of
the (I)LU algorithm in the LINSOL
program package . . . . . . . . . . . . 39--59
Oliver Bröker and
Marcus J. Grote Sparse approximate inverse smoothers for
geometric and algebraic multigrid . . . 61--80
Ljiljana Cvetkovi\'c Some convergence conditions for a class
of parallel decomposition-type linear
relaxation methods . . . . . . . . . . . 81--87
L. A. Krukier and
L. G. Chikina and
T. V. Belokon Triangular skew-symmetric iterative
solvers for strongly nonsymmetric
positive real linear system of equations 89--105
Seiji Fujino GPBiCG$ (m, \ell) $: a hybrid of
BiCGSTAB and GPBiCG methods with
efficiency and robustness . . . . . . . 107--117
Stefan Röllin and
Martin H. Gutknecht Variations of Zhang's Lanczos-type
product method . . . . . . . . . . . . . 119--133
Michele Benzi and
Miroslav T\ocircuma A parallel solver for large-scale Markov
chains . . . . . . . . . . . . . . . . . 135--153
Van Emden Henson and
Ulrike Meier Yang BoomerAMG: a parallel algebraic
multigrid solver and preconditioner . . 155--177
Claus Koschinski New methods for adapting and for
approximating inverses as
preconditioners . . . . . . . . . . . . 179--218
C. Vuik and
A. Segal and
L. el Yaakoubi and
E. Dufour A comparison of various deflation
vectors applied to elliptic problems
with discontinuous coefficients . . . . 219--233
Shao-Liang Zhang and
Kazuhide Nakata and
Masakazu Kojima Incomplete orthogonalization
preconditioners for solving large and
dense linear systems which arise from
Semidefinite Programming . . . . . . . . 235--245
I. Alonso-Mallo and
B. Cano Spectral/Rosenbrock discretizations
without order reduction for linear
parabolic problems . . . . . . . . . . . 247--268
Matteo Beccaria Numerical algorithm for the calculation
of the ground states in the U$_q$SU(2)
symmetric spin-Heisenberg chain . . . . 269--281
A. H. Bentbib Solving the full rank interval least
squares problem . . . . . . . . . . . . 283--294
Ana B. González and
Pablo Martín and
Amelia García and
José M. Farto Increasing the accuracy in the numerical
integration of perturbed oscillators
with new methods . . . . . . . . . . . . 295--304
Qiya Hu and
Guoping Liang Acceleration of the non-symmetrized
two-level iteration . . . . . . . . . . 305--323
Ercília Sousa and
Ian Sobey On the influence of numerical boundary
conditions . . . . . . . . . . . . . . . 325--344
S. Balac and
G. Caloz Induced magnetic field computations
using a boundary integral formulation 345--367
Wolf-Jürgen Beyn and
Barnabas M. Garay Estimates of variable stepsize
Runge--Kutta methods for sectorial
evolution equations with nonsmooth data 369--400
Patrick Hild and
Patrick Laborde Quadratic finite element methods for
unilateral contact problems . . . . . . 401--421
David Sidilkover Factorizable schemes for the equations
of fluid flow . . . . . . . . . . . . . 423--436
C. Brezinski Biorthogonal vector sequence
transformations and Padé approximation of
vector series . . . . . . . . . . . . . 437--442
Jörg Büttner and
Bernd Simeon Runge--Kutta methods in elastoplasticity 443--458
João B. R. do Val and
Marinho G. Andrade On mean value solutions for the
Helmholtz equation on square grids . . . 459--479
A. Lembarki Quasi-linear sequence transformations
and their construction . . . . . . . . . 481--497
H. Scolnik and
N. Echebest and
M. T. Guardarucci and
M. C. Vacchino A class of optimized row projection
methods for solving large nonsymmetric
linear systems . . . . . . . . . . . . . 499--513
Xiaoshen Wang and
Xiu Ye Superconvergence analysis for the
Navier--Stokes equations . . . . . . . . 515--527
Anonymous Author Index --- Volume 41 (2002) . . . 529--530
Anonymous List of invited lectures . . . . . . . . 3--4
Carmen Arévalo and
Claus Führer and
Mónica Selva A collocation formulation of multistep
methods for variable step-size
extensions . . . . . . . . . . . . . . . 5--16
Natalia Borovykh Stability in the numerical solution of
the heat equation with nonlocal boundary
conditions . . . . . . . . . . . . . . . 17--27
Luigi Brugnano and
Cecilia Magherini Blended implementation of block implicit
methods for ODEs . . . . . . . . . . . . 29--45
A. Bürgel and
T. Grahs and
Th. Sonar From continuous recovery to discrete
filtering in numerical approximations of
conservation laws . . . . . . . . . . . 47--60
Frank Cameron and
Mikko Palmroth and
Robert Piché Quasi stage order conditions for SDIRK
methods . . . . . . . . . . . . . . . . 61--75
R. P. K. Chan and
P. Chartier and
A. Murua Post-projected Runge--Kutta methods for
index-$2$ differential--algebraic
equations . . . . . . . . . . . . . . . 77--94
A. Durán and
M. A. López-Marcos Numerical behaviour of stable and
unstable solitary waves . . . . . . . . 95--116
Roland England and
René Lamour and
Jesús López-Estrada Multiple shooting using a dichotomically
stable integrator for solving
differential--algebraic equations . . . 117--131
I. Faragó and
C. Palencia Sharpening the estimate of the stability
constant in the maximum-norm of the
Crank--Nicolson scheme for the
one-dimensional heat equation . . . . . 133--140
Amelia García and
Pablo Martín and
Ana B. González New methods for oscillatory problems
based on classical codes . . . . . . . . 141--157
A. Gerisch and
J. G. Verwer Operator splitting and approximate
factorization for
taxis--diffusion--reaction models . . . 159--176
C. Grossmann and
Z. Horváth Construction of two-sided bounds for
initial-boundary value problems . . . . 177--187
Róbert Horváth On the monotonicity conservation in
numerical solutions of the heat equation 189--199
K. J. in 't Hout On the contractivity of
implicit--explicit linear multistep
methods . . . . . . . . . . . . . . . . 201--212
Willem Hundsdorfer Accuracy and stability of splitting with
stabilizing corrections . . . . . . . . 213--233
F. Iavernaro and
F. Mazzia Parallel implicit predictor corrector
methods . . . . . . . . . . . . . . . . 235--250
Z. Jackiewicz Implementation of DIMSIMs for stiff
differential systems . . . . . . . . . . 251--267
Kenneth R. Jackson and
Nedialko S. Nedialkov Some recent advances in validated
methods for IVPs for ODEs . . . . . . . 269--284
David J. López and
Pablo Martín and
Amelia García A variable-stepsize variable-order
multistep method for the integration of
perturbed linear problems . . . . . . . 285--295
W. Lucht and
K. Debrabant On quasi-linear PDAEs with convection:
Applications, indices, numerical
solution . . . . . . . . . . . . . . . . 297--314
Roswitha März Differential algebraic systems anew . . 315--335
F. Mazzia and
I. Sgura Numerical approximation of nonlinear
BVPs by means of BVMs . . . . . . . . . 337--352
Alexander Ostermann Stability of W-methods with applications
to operator splitting and to geometric
theory . . . . . . . . . . . . . . . . . 353--366
Alexander Ostermann and
Mechthild Thalhammer Convergence of Runge--Kutta methods for
nonlinear parabolic equations . . . . . 367--380
H. Podhaisky and
B. A. Schmitt and
R. Weiner Design, analysis and testing of some
parallel two-step W-methods for stiff
systems . . . . . . . . . . . . . . . . 381--395
R. Pulch and
M. Günther A method of characteristics for solving
multirate partial differential equations
in radio frequency application . . . . . 397--409
J. Sand On implicit Euler for high-order
high-index DAEs . . . . . . . . . . . . 411--424
Johannes Schropp Behavior of Runge--Kutta discretizations
near equilibria of index $2$
differential algebraic systems . . . . . 425--435
Werner M. Seiler Completion to involution and
semidiscretisations . . . . . . . . . . 437--451
M. Van Daele and
T. Van Hecke Algebraic conditions for high-order
convergent deferred correction schemes
based on Runge--Kutta--Nyström methods
for second order boundary value problems 453--464
Jörg Wensch and
Fernando Casas Extrapolation in Lie groups with
approximated BCH-formula . . . . . . . . 465--472
Ralf Wolke and
Oswald Knoth Time-integration of multiphase chemistry
in size-resolved cloud models . . . . . 473--487
B. P. Sommeijer and
J. G. VerwerK. Strehmel and
R. Weiner Preface . . . . . . . . . . . . . . . . ??
Zhongxiao Jia The refined harmonic Arnoldi method and
an implicitly restarted refined
algorithm for computing interior
eigenpairs of large matrices . . . . . . 489--512
Zhongyun Liu Convergence of generalized relaxed
multisplitting methods for symmetric
positive definite matrices . . . . . . . 513--527
A. Miranville and
A. C. Muresan Block incremental unknowns for
anisotropic elliptic equations . . . . . 529--543
Anonymous Author Index --- Volume 42 (2002) . . . 545--546
Anonymous Proceedings of the 19th Biennial
Conference on Numerical Analysis,
University of Dundee . . . . . . . . . . 3--7
Zhaojun Bai Krylov subspace techniques for
reduced-order modeling of large-scale
dynamical systems . . . . . . . . . . . 9--44
Susanne C. Brenner Smoothers, mesh dependent norms,
interpolation and multigrid . . . . . . 45--56
Marco Discacciati and
Edie Miglio and
Alfio Quarteroni Mathematical and numerical models for
coupling surface and groundwater flows 57--74
Howard C. Elman Preconditioners for saddle point
problems arising in computational fluid
dynamics . . . . . . . . . . . . . . . . 75--89
Anders Forsgren Inertia-controlling factorizations for
optimization algorithms . . . . . . . . 91--107
Nicholas I. M. Gould and
Philippe L. Toint An iterative working-set method for
large-scale nonconvex quadratic
programming . . . . . . . . . . . . . . 109--128
Wolfgang Hackbusch and
Steffen Börm -matrix approximation of integral
operators by interpolation . . . . . . . 129--143
Arieh Iserles Think globally, act locally: Solving
highly-oscillatory ordinary differential
equations . . . . . . . . . . . . . . . 145--160
R. Kress and
L. Kühn Linear sampling methods for inverse
boundary value problems in potential
theory . . . . . . . . . . . . . . . . . 161--173
Ben Leimkuhler An efficient multiple time-scale
reversible integrator for the
gravitational $N$-body problem . . . . . 175--190
D. F. Griffiths and
G. A. Watson Editorial . . . . . . . . . . . . . . . ??
Bosco García-Archilla and
Julia Novo and
Edriss S. Titi Postprocessing Fourier spectral methods:
The case of smooth solutions . . . . . . 191--209
Jianguo Huang and
Jun Zou Construction of explicit extension
operators on general finite element
grids . . . . . . . . . . . . . . . . . 211--227
Ansgar Jüngel and
Shaoqiang Tang A relaxation scheme for the hydrodynamic
equations for semiconductors . . . . . . 229--252
Z. C. Li and
H. T. Huang Global superconvergence of simplified
hybrid combinations of the
Ritz--Galerkin and FEMs for elliptic
equations with singularities II.
Lagrange elements and Adini's elements 253--273
Salim Meddahi and
Antonio Márquez A combination of spectral and finite
elements for an exterior problem in the
plane . . . . . . . . . . . . . . . . . 275--295
H. MacMullen and
E. O'Riordan and
G. I. Shishkin The convergence of classical Schwarz
methods applied to convection--diffusion
problems with regular boundary layers 297--313
Weizhu Bao and
Shi Jin Error estimates on the random projection
methods for hyperbolic conservation laws
with stiff reaction terms . . . . . . . 315--333
R. Barrio and
J. M. Peña Numerical evaluation of the $p$ th
derivative of Jacobi series . . . . . . 335--357
J. Longina Castellanos and
Susana Gómez and
Valia Guerra The triangle method for finding the
corner of the L-curve . . . . . . . . . 359--373
Fredrik A. Dahl Variance reduction for simulated
diffusions using control variates
extracted from state space evaluations 375--381
Rafik Djouad and
Bruno Sportisse Partitioning techniques and lumping
computation for reducing chemical
kinetics. APLA: an automatic
partitioning and lumping algorithm . . . 383--398
V. Korneev and
J. E. Flaherty and
J. T. Oden and
J. Fish Additive Schwarz algorithms for solving
hp-version finite element systems on
triangular meshes . . . . . . . . . . . 399--421
P. Maroni and
M. Mejri The I ( q, ) classical orthogonal
polynomials . . . . . . . . . . . . . . 423--458
J. R. Rice and
P. Tsompanopoulou and
E. Vavalis Fine tuning interface relaxation methods
for elliptic differential equations . . 459--481
Kai Wang and
Jun Zhang Multigrid treatment and robustness
enhancement for factored sparse
approximate inverse preconditioning . . 483--500
Anonymous Author Index --- Volume 43 (2002) . . . 501--502
I. Alonso-Mallo and
C. Palencia Optimal orders of convergence for
Runge--Kutta methods and linear, initial
boundary value problems . . . . . . . . 1--19
Benito Chen and
Francisco Solis Explicit mixed finite order Runge--Kutta
methods . . . . . . . . . . . . . . . . 21--30
M. I. M. Copetti Finite element approximation to a
quasi-static thermoelastic problem to
the contact of two rods . . . . . . . . 31--47
Rafik Djouad and
Bruno Sportisse Solving reduced chemical models in air
pollution modelling . . . . . . . . . . 49--61
Gadi Fibich and
Boaz Ilan Discretization effects in the nonlinear
Schrödinger equation . . . . . . . . . . 63--75
S. González-Pinto and
J. I. Montijano and
S. Pérez-Rodríguez Variable-order starting algorithms for
implicit Runge--Kutta methods on stiff
problems . . . . . . . . . . . . . . . . 77--94
Thomas Hagstrom and
Jan Nordström Analysis of extrapolation boundary
conditions for the linearized Euler
equations . . . . . . . . . . . . . . . 95--108
Astrid Holstad and
Ivar Lie Transparent boundary conditions for the
shallow water equations with a mixed
finite element formulation . . . . . . . 109--138
Christopher A. Kennedy and
Mark H. Carpenter Additive Runge--Kutta schemes for
convection--diffusion--reaction
equations . . . . . . . . . . . . . . . 139--181
Farid Moussaoui A unified approach for inviscid
compressible and nearly incompressible
flow by least-squares finite element
method . . . . . . . . . . . . . . . . . 183--199
Paolo Novati A polynomial method based on Fej\`er
points for the computation of functions
of unsymmetric matrices . . . . . . . . 201--224
V. Pereyra and
G. Scherer Large scale least squares scattered data
fitting . . . . . . . . . . . . . . . . 225--239
X. Zhou and
Y. C. Hon and
Jichun Li Overlapping domain decomposition method
by radial basis functions . . . . . . . 241--255
Stefania Bellavia and
Maria Macconi and
Benedetta Morini An affine scaling trust-region approach
to bound-constrained nonlinear systems 257--280
B. Bidégaray and
J.-M. Ghidaglia Multidimensional corrections to
cell-centered finite volume methods for
Maxwell equations . . . . . . . . . . . 281--298
Rózsa Horváth Bokor Stochastically stable one-step
approximations of solutions of
stochastic ordinary differential
equations . . . . . . . . . . . . . . . 299--312
J. C. Butcher and
W. M. Wright A transformation relating explicit and
diagonally-implicit general linear
methods . . . . . . . . . . . . . . . . 313--327
Salvador Garcia Incremental unknowns and graph
techniques in three space dimensions . . 329--365
S. Pieraccini and
M. G. Gasparo and
A. Pasquali Global Newton-type methods and
semismooth reformulations for NCP . . . 367--384
R. E. Plessix and
W. A. Mulder Separation-of-variables as a
preconditioner for an iterative
Helmholtz solver . . . . . . . . . . . . 385--400
Yongzhong Song and
Li Wang On the semiconvergence of extrapolated
iterative methods for singular linear
systems . . . . . . . . . . . . . . . . 401--413
Xinyuan Wu On zeros of polynomial and vector
solutions of associated polynomial
system from Vieta theorem . . . . . . . 415--423
Kamal H. Yasir and
Yun Tang Computation of the singularity induced
bifurcation points in DAEs via extended
system reduction . . . . . . . . . . . . 425--431
I. Ben Salah Third degree classical forms . . . . . . 433--447
Maria do Carmo Coimbra and
Carlos Sereno and
Alírio Rodrigues A moving finite element method for the
solution of two-dimensional
time-dependent models . . . . . . . . . 449--469
Qikui Du and
Dehao Yu Dirichlet--Neumann alternating algorithm
based on the natural boundary reduction
for time-dependent problems over an
unbounded domain . . . . . . . . . . . . 471--486
F. J. Gaspar and
F. J. Lisbona and
P. N. Vabishchevich A finite difference analysis of Biot's
consolidation model . . . . . . . . . . 487--506
A. Kouibia and
M. Pasadas Variational bivariate interpolating
splines with positivity constraints . . 507--526
Anonymous Author Index --- Volume 44 (2003) . . . 527--528
Apostolos Hadjidimos and
Elias N. Houstis and
Emmanuel Vavalis Preface . . . . . . . . . . . . . . . . 1--2
David R. Kincaid and
David M. Young and
Jen-Yuan Chen Variations of the GMRES iterative method 3--10
Ivo Marek Iterative aggregation/disaggregation
methods for computing some
characteristics of Markov chains. II.
Fast convergence . . . . . . . . . . . . 11--28
M. D. Koulisianis and
T. S. Papatheodorou Improving projected successive
overrelaxation method for linear
complementarity problems . . . . . . . . 29--40
Axel Facius Highly accurate verified error bounds
for Krylov type linear system solvers 41--58
M. N. Vrahatis and
G. D. Magoulas and
V. P. Plagianakos From linear to nonlinear iterative
methods . . . . . . . . . . . . . . . . 59--77
M. B. Reed An H-form variant of the partitioned QN
method . . . . . . . . . . . . . . . . . 79--85
Rossella Cancelliere and
Mario Gai A comparative analysis of neural network
performances in astronomical imaging . . 87--98
B. Bujanda and
J. C. Jorge Fractional step Runge--Kutta methods for
time dependent coefficient parabolic
problems . . . . . . . . . . . . . . . . 99--122
Abdelkrim Chakib and
Touria Ghemires and
Abdeljalil Nachaoui A numerical study of filtration problem
in inhomogeneous dam with discontinuous
permeability . . . . . . . . . . . . . . 123--138
E. Cuesta and
C. Palencia A fractional trapezoidal rule for
integro-differential equations of
fractional order in Banach spaces . . . 139--159
H. El-Zoheiry Numerical investigation for the solitary
waves interaction of the ``good''
Boussinesq equation . . . . . . . . . . 161--173
I. Higueras and
R. März and
C. Tischendorf Stability preserving integration of
index-1 DAEs . . . . . . . . . . . . . . 175--200
I. Higueras and
R. März and
C. Tischendorf Stability preserving integration of
index-2 DAEs . . . . . . . . . . . . . . 201--229
Willem Hundsdorfer and
Jérôme Jaffré Implicit--explicit time stepping with
spatial discontinuous finite elements 231--254
Hideaki Kaneko and
Richard D. Noren and
Boriboon Novaprateep Wavelet applications to the
Petrov--Galerkin method for Hammerstein
equations . . . . . . . . . . . . . . . 255--273
Jae Ryong Kweon Optimal error estimate for a mixed
finite element method for compressible
Navier--Stokes system . . . . . . . . . 275--292
S. A. V. Manickam and
Ch. Radha and
V. D. Sharma Far field behaviour of waves in a
vibrationally relaxing gas . . . . . . . 293--307
Ronald E. Mickens A nonstandard finite-difference scheme
for the Lotka--Volterra system . . . . . 309--314
Maria Caridad Natividad and
Martin Stynes Richardson extrapolation for a
convection--diffusion problem using a
Shishkin mesh . . . . . . . . . . . . . 315--329
T. P. Witelski and
M. Bowen ADI schemes for higher-order nonlinear
diffusion equations . . . . . . . . . . 331--351
A. R. Ansari and
A. F. Hegarty and
G. I. Shishkin A note on fitted operator methods for a
laminar jet problem . . . . . . . . . . 353--365
W. Auzinger Sectorial operators and normalized
numerical range . . . . . . . . . . . . 367--388
P. M. Lima and
A. M. Oliveira Numerical solution of a singular
boundary value problem for a generalized
Emden--Fowler equation . . . . . . . . . 389--409
Robert I. McLachlan and
G. R. W. Quispel Geometric integration of conservative
polynomial ODEs . . . . . . . . . . . . 411--418
P. Maroni and
I. Nicolau On the inverse problem of the product of
a form by a polynomial: The cubic case 419--451
Jan Nordström and
Karl Forsberg and
Carl Adamsson and
Peter Eliasson Finite volume methods, unstructured
meshes and strict stability for
hyperbolic problems . . . . . . . . . . 453--473
Adrian Sandu and
Christian Borden A framework for the numerical treatment
of aerosol dynamics . . . . . . . . . . 475--497
Youssef Stiriba A local piecewise parabolic method for
Hamilton--Jacobi equations . . . . . . . 499--511
Anonymous Author Index --- Volume 45 (2003) . . . 513--514
Roger Alexander Design and implementation of DIRK
integrators for stiff systems . . . . . 1--17
Lutz Angermann and
Song Wang Three-dimensional exponentially fitted
conforming tetrahedral finite elements
for the semiconductor continuity
equations . . . . . . . . . . . . . . . 19--43
P. Chatzipantelidis and
Ch. Makridakis and
M. Plexousakis A-posteriori error estimates for a
finite volume method for the Stokes
problem in two dimensions . . . . . . . 45--58
KyungJoong Kim and
Ronald Cools and
L. Gr. Ixaru Extended quadrature rules for
oscillatory integrands . . . . . . . . . 59--73
Jens Lang and
Weiming Cao and
Weizhang Huang and
Robert D. Russell A two-dimensional moving finite element
method with local refinement based on a
posteriori error estimates . . . . . . . 75--94
Marián Slodi\'cka and
Ivan Cimrák Numerical study of nonlinear
ferromagnetic materials . . . . . . . . 95--111
Walter Allegretto and
Yanping Lin and
Hongtao Yang Numerical pricing of American put
options on zero-coupon bonds . . . . . . 113--134
P. Arminjon and
A. St-Cyr Nessyahu--Tadmor-type central finite
volume methods without predictor for
$3$D Cartesian and unstructured
tetrahedral grids . . . . . . . . . . . 135--155
Zhi-Hao Cao Fast Uzawa algorithm for generalized
saddle point problems . . . . . . . . . 157--171
João R. Cardoso and
Charles S. Kenney and
F. Silva Leite Computing the square root and logarithm
of a real $P$-orthogonal matrix . . . . 173--196
Susana Gomez and
Michiyo Ono and
Carlos Gamio and
Andres Fraguela Reconstruction of capacitance tomography
images of simulated two-phase flow
regimes . . . . . . . . . . . . . . . . 197--208
J.-P. Hennart and
E. H. Mund and
E. del Valle Third order nodal finite element methods
with transverse and reduced integration
for elliptic problems . . . . . . . . . 209--230
Jason Kurtz and
Christos Xenophontos On the effects of using curved elements
in the approximation of the
Reissner--Mindlin plate by the $p$
version of the finite element method . . 231--246
Rosa Maria Spitaleri Preface . . . . . . . . . . . . . . . . 247--248
Renzo Arina Orthogonal and conformal surface grid
generation . . . . . . . . . . . . . . . 249--262
Christian-Arved Bohn A neural network based finite element
grid generation algorithm for the
simulation of light propagation . . . . 263--277
Gennadii A. Chumakov On 2D quasi-isometric regular grids that
are orthogonal far from corners . . . . 279--294
Louis-Sébastien Guimond and
Jan Patera and
Ji í Patera Statistical properties and
implementation of aperiodic pseudorandom
number generators . . . . . . . . . . . 295--318
R. P. Koomullil and
D. S. Thompson and
B. K. Soni Iced airfoil simulation using
generalized grids . . . . . . . . . . . 319--330
S. S. Makhanov and
S. A. Ivanenko Grid generation as applied to optimize
cutting operations of the five-axis
milling machine . . . . . . . . . . . . 331--351
Stanislav S. Makhanov and
Andrei Yu. Semenov Six numerical schemes for parabolic
initial boundary value problems with a
priori bounded solution . . . . . . . . 353--377
Bernhard Quatember and
Hannes Mühlthaler Generation of CFD meshes from biplane
angiograms: an example of image-based
mesh generation and simulation . . . . . 379--397
H. S. R. Reksoprodjo and
R. K. Agarwal Development of a higher-order accurate
kinetic wave/particle flux-splitting
algorithm for the Euler equations . . . 399--410
Andrei I. Tolstykh On multioperators principle for
constructing arbitrary-order difference
schemes . . . . . . . . . . . . . . . . 411--423
Alper Üngör and
Alla Sheffer and
Robert B. Haber and
Shang-Hua Teng Layer based solutions for constrained
space--time meshing . . . . . . . . . . 425--443
Anonymous Author Index --- Volume 46 (2003) . . . 445--446
Hans Burchard and
Eric Deleersnijder and
Andreas Meister A high-order conservative Patankar-type
discretisation for stiff systems of
production--destruction equations . . . 1--30
Chengming Huang and
Qianshun Chang and
Aiguo Xiao $B$-convergence of general linear
methods for stiff problems . . . . . . . 31--44
Y. Lee and
M. Oh and
V. I. Shin Adaptive nonlinear continuous-discrete
filtering . . . . . . . . . . . . . . . 45--56
Marcos Arndt and
Roberto Dalledone Machado and
Mildred Ballin Hecke The composite element method applied to
free vibration analysis of trusses and
beams . . . . . . . . . . . . . . . . . 59--73
Zhong-Zhi Bai and
Li Wang and
Jin-Yun Yuan Weak-convergence theory of
quasi-nonnegative splittings for
singular matrices . . . . . . . . . . . 75--89
Fermín S. V. Bazán CGLS--GCV: a hybrid algorithm for
low-rank-deficient problems . . . . . . 91--108
Ernesto G. Birgin and
Ivan E. Chambouleyron and
José Mario Martínez and
Sergio D. Ventura Estimation of optical parameters of very
thin films . . . . . . . . . . . . . . . 109--119
Weiming Cao and
Weizhang Huang and
Robert D. Russell Approaches for generating moving
adaptive meshes: location versus
velocity . . . . . . . . . . . . . . . . 121--138
H. R. Clark and
M. A. Rincon and
R. D. Rodrigues Beam equation with weak-internal damping
in domain with moving boundary . . . . . 139--157
I-Shih Liu and
M. A. Rincon Effect of moving boundaries on the
vibrating elastic string . . . . . . . . 159--172
Wenbin Liu and
Ningning Yan A posteriori error estimates for control
problems governed by nonlinear elliptic
equations . . . . . . . . . . . . . . . 173--187
T. F. Ma Existence results and numerical
solutions for a beam equation with
nonlinear boundary conditions . . . . . 189--196
Edgar Pereira On solvents of matrix polynomials . . . 197--208
Yuming Qin and
Jaime E. Muñoz Rivera Exponential stability and universal
attractors for the Navier--Stokes
equations of compressible fluids between
two horizontal parallel plates in . . . 209--235
Cosmo D. Santiago and
Jin-Yun Yuan Modified ST algorithms and numerical
experiments . . . . . . . . . . . . . . 237--253
Reginaldo J. Santos Preconditioning conjugate gradient with
symmetric algebraic reconstruction
technique (ART) in computerized
tomography . . . . . . . . . . . . . . . 255--263
Alexandre Trovon and
Yanlin Yu A note on heat kernel and approximation 265--271
Anonymous Editorial Board . . . . . . . . . . . . ??
José Castillo and
Victor Pereyra Preface . . . . . . . . . . . . . . . . 273--274
P. Amster and
C. G. Averbuj and
M. C. Mariani Stationary solutions for two nonlinear
Black--Scholes type equations . . . . . 275--280
Juan Ignacio Ardenghi and
María Cristina Maciel and
Adriana Beatriz Verdiell A trust-region-approach for solving a
parameter estimation problem from the
biotechnology area . . . . . . . . . . . 281--294
A. L. de Bortoli Mixing and chemical reacting flow
simulations inside square cavities . . . 295--303
A. Bourchtein and
L. Bourchtein and
E. R. Oliveira General approach to conformal mappings
used in atmospheric modeling . . . . . . 305--324
A. Bourchtein and
M. Naumov Dependence of the stability of
semi-implicit atmospheric models on
reference temperature profile . . . . . 325--343
Liliana R. Castro and
Osvaldo E. Agamennoni and
Carlos E. D'Attellis Identification structures using rational
wavelets: Examples of application . . . 345--363
Ezzat S. Chalhoub and
Haroldo F. de Campos Velho Multispectral reconstruction of
bioluminescence term in natural waters 365--376
Benito M. Chen-Charpentier and
Hristo V. Kojouharov Numerical simulation of dual-species
biofilms in porous media . . . . . . . . 377--389
Julio R. Claeyssen and
Ines Moraes Ferreira and
Rosemaira Dalcin Copetti Decomposition of forced responses in
vibrating systems . . . . . . . . . . . 391--405
Erwin Doescher and
Haroldo F. de Campos Velho and
Fernando M. Ramos Isothermal and natural convection flows
in fractal cavities . . . . . . . . . . 407--419
M. O. Domingues and
S. M. Gomes and
L. M. A. Díaz Adaptive wavelet representation and
differentiation on block-structured
grids . . . . . . . . . . . . . . . . . 421--437
Giovanni Figueroa and
Marco Paluszny and
Francisco Tovar $ G^2 $-cubic contours . . . . . . . . . 439--448
J. M. Guevara-Jordan and
S. Rojas A method of fundamental solutions for
modeling porous media advective fluid
flow . . . . . . . . . . . . . . . . . . 449--465
L. Jódar and
J. I. Castaño and
J. A. Sánchez and
G. Rubio Accurate numerical solution of coupled
time dependent parabolic initial value
problems . . . . . . . . . . . . . . . . 467--476
L. Jódar and
E. Navarro and
A. E. Posso and
M. C. Casabán Constructive solution of strongly
coupled continuous hyperbolic mixed
problems . . . . . . . . . . . . . . . . 477--492
G. Larrazábal and
C. R. Torres and
J. Castillo An efficient and robust algorithm for 2D
stratified fluid flow calculations . . . 493--502
V. Pereyra and
D. Lawver and
J. Isenberg An algorithm for optimal design of steel
frame structures . . . . . . . . . . . . 503--514
José P. Tamagno and
Sergio A. Elaskar and
Gustavo A. Ríos Numerical simulation of time-dependent
reacting flows in pulse facilities . . . 515--530
C. R. Torres and
J. E. Castillo Stratified rotating flow over complex
terrain . . . . . . . . . . . . . . . . 531--541
Germán Torres and
Cristina Turner Method of straight lines for a Bingham
problem in cylindrical pipes . . . . . . 543--558
A. U. Zavaleta C. and
A. L. de Bortoli and
M. Thompson Analysis and simulation for a system of
chemical reaction equations with a
vortex formulation . . . . . . . . . . . 559--573
Carlos Zuppa Good quality point sets and error
estimates for moving least square
approximations . . . . . . . . . . . . . 575--585
Anonymous Author Index --- Volume 47 (2003) . . . 587--589
Anonymous Editorial Board . . . . . . . . . . . . CO2--CO2
Daniele Funaro Superconsistent discretizations of
integral type equations . . . . . . . . 1--11
Amelia García and
Pablo Martín and
Ana B. González High order Runge--Kutta--Nyström codes
for the integration of oscillatory
problems . . . . . . . . . . . . . . . . 13--25
Christian Guilpin and
Jacques Gacougnolle and
Yvan Simon The $ \epsilon $-algorithm allows to
detect Dirac delta functions . . . . . . 27--40
R. V. N. Melnik and
K. N. Zotsenko Mixed electroelastic waves and CFL
stability conditions in computational
piezoelectricity . . . . . . . . . . . . 41--62
Peter K. Moore Interpolation error-based a posteriori
error estimation for hp-refinement using
first and second derivative jumps . . . 63--82
Martin Schlegel and
Wolfgang Marquardt and
Rainald Ehrig and
Ulrich Nowak Sensitivity analysis of
linearly-implicit
differential--algebraic systems by
one-step extrapolation . . . . . . . . . 83--102
Murat Suba\csi Approximations to the solution of
boundary value problems of high order 103--111
Joab R. Winkler The transformation of the companion
matrix resultant between the power and
Bernstein polynomial bases . . . . . . . 113--126
Marwan I. Abukhaled Mean square stability of second-order
weak numerical methods for stochastic
differential equations . . . . . . . . . 127--134
Tomás P. Barrios and
Gabriel N. Gatica and
Luis F. Gatica On the numerical analysis of a nonlinear
elliptic problem via mixed-FEM and
Lagrange multipliers . . . . . . . . . . 135--155
C. Brezinski and
K. A. Driver and
M. Redivo-Zaglia Quasi-orthogonality with applications to
some families of classical orthogonal
polynomials . . . . . . . . . . . . . . 157--168
Tomás Chacón Rebollo and
Eliseo Chacón Vera Study of a non-overlapping domain
decomposition method: Poisson and Stokes
problems . . . . . . . . . . . . . . . . 169--194
Yanping Chen and
Manping Zhang Superconvergence of least-squares mixed
finite element for symmetric elliptic
problems . . . . . . . . . . . . . . . . 195--204
A. C. Galeão and
R. C. Almeida and
S. M. C. Malta and
A. F. D. Loula Finite element analysis of convection
dominated reaction--diffusion problems 205--222
Daniel J. Strauß and
Gabriele Steidl and
Udo Welzel Parameter detection of thin films from
their X-ray reflectivity by support
vector machines . . . . . . . . . . . . 223--236
Jianmin Zheng and
Thomas W. Sederberg and
Richard W. Johnson Least squares methods for solving
differential equations using Bézier
control points . . . . . . . . . . . . . 237--252
Anonymous Editorial Board . . . . . . . . . . . . CO2--CO2
Jan G. Verwer and
Ben P. Sommeijer Preface . . . . . . . . . . . . . . . . 253--253
Uri M. Ascher and
Robert I. McLachlan Multisymplectic box schemes and the
Korteweg--de Vries equation . . . . . . 255--269
M. Berzins Variable-order finite elements and
positivity preservation for hyperbolic
PDEs . . . . . . . . . . . . . . . . . . 271--292
C. J. Cotter and
S. Reich Geometric integration of a wave-vortex
model . . . . . . . . . . . . . . . . . 293--305
Jason Frank Geometric space--time integration of
ferromagnetic materials . . . . . . . . 307--322
L. Krivodonova and
J. Xin and
J.-F. Remacle and
N. Chevaugeon and
J. E. Flaherty Shock detection and limiting with
discontinuous Galerkin methods for
hyperbolic conservation laws . . . . . . 323--338
Anders Logg Multi-adaptive time integration . . . . 339--354
Christian Lubich A variational splitting integrator for
quantum molecular dynamics . . . . . . . 355--368
Michael L. Minion Semi-implicit projection methods for
incompressible flow based on spectral
deferred corrections . . . . . . . . . . 369--387
A. Ostermann and
M. Thalhammer and
G. Kirlinger Stability of linear multistep methods
and applications to nonlinear parabolic
problems . . . . . . . . . . . . . . . . 389--407
L. Portero and
J. C. Jorge and
B. Bujanda Avoiding order reduction of fractional
step Runge--Kutta discretizations for
linear time dependent coefficient
parabolic problems . . . . . . . . . . . 409--424
R. Weiner and
B. A. Schmitt and
H. Podhaisky Parallel `Peer' two-step W-methods and
their application to MOL-systems . . . . 425--439
Anonymous Editorial Board . . . . . . . . . . . . CO2--CO2
Anonymous Publisher's note . . . . . . . . . . . . v--v
Martin H. Gutknecht and
Erricos John Kontoghiorghes and
Valeria Simoncini Preface . . . . . . . . . . . . . . . . 1--1
Petko Yanev and
Erricos J. Kontoghiorghes Efficient algorithms for block
downdating of least squares solutions 3--15
Jasper van den Eshof and
Gerard L. G. Sleijpen Accurate conjugate gradient methods for
families of shifted systems . . . . . . 17--37
E. Kokiopoulou and
C. Bekas and
E. Gallopoulos Computing smallest singular triplets
with implicitly restarted Lanczos
bidiagonalization . . . . . . . . . . . 39--61
V. Simoncini Block triangular preconditioners for
symmetric saddle-point problems . . . . 63--80
Tiberiu Rotaru and
Hans-Heinrich Nägeli Fast algorithms for fair dynamic load
redistribution in heterogeneous
environments . . . . . . . . . . . . . . 81--95
Eero Vainikko and
Ivan G. Graham A parallel solver for PDE systems and
application to the incompressible
Navier--Stokes equations . . . . . . . . 97--116
Carlos A. S. Oliveira and
Panos M. Pardalos Randomized parallel algorithms for the
multidimensional assignment problem . . 117--133
Shaochun Chen and
Yongcheng Zhao and
Dongyang Shi Anisotropic interpolations with
application to nonconforming elements 135--152
Victorita Dolean and
Stéphane Lanteri and
Frédéric Nataf Convergence analysis of additive Schwarz
for the Euler equations . . . . . . . . 153--186
Adrian Dunca and
Volker John and
William Layton Approximating local averages of fluid
velocities: The equilibrium
Navier--Stokes equations . . . . . . . . 187--205
Lars Ferm and
Per Lötstedt Accurate and stable grid interfaces for
finite volume methods . . . . . . . . . 207--224
Hristo V. Kojouharov and
Benito M. Chen-Charpentier Nonstandard Eulerian--Lagrangian methods
for multi-dimensional reactive transport
problems . . . . . . . . . . . . . . . . 225--243
Carlos Zuppa Error estimates for modified local
Shepard's interpolation formula . . . . 245--259
Anonymous Editorial Board . . . . . . . . . . . . CO2--CO2
Rosa Maria Spitaleri Preface . . . . . . . . . . . . . . . . 261--262
Renzo Arina and
Marco Falossi Domain decomposition technique for
aeroacoustic simulations . . . . . . . . 263--275
Enrico Bertolazzi and
Gianmarco Manzini Limiting strategies for polynomial
reconstructions in the finite volume
approximation of the linear advection
equation . . . . . . . . . . . . . . . . 277--289
Enrico Bertolazzi and
Gianmarco Manzini A finite volume method for transport of
contaminants in porous media . . . . . . 291--305
Edoardo Bucchignani A numerical study of non-linear dynamics
in a tank for aerospace applications . . 307--318
M. M. Cerimele and
M. L. Chiofalo and
F. Pistella From coherent to incoherent dynamical
behaviour of quantum atomic gases in
periodic potentials . . . . . . . . . . 319--330
M. Cermak and
V. Skala Edge spinning algorithm for implicit
surfaces . . . . . . . . . . . . . . . . 331--342
Maria Charina and
Costanza Conti Convergence of multivariate
non-stationary vector subdivision
schemes . . . . . . . . . . . . . . . . 343--354
C. Conti and
R. Morandi and
D. Scaramelli Using discrete uniformity property in a
mixed algebraic method . . . . . . . . . 355--366
Ainslie D. French Solution of the Euler equations on
Cartesian grids . . . . . . . . . . . . 367--379
Laura Gori and
Francesca Pitolli Refinable functions and positive
operators . . . . . . . . . . . . . . . 381--393
Sergey A. Ivanenko and
Stanislav S. Makhanov and
Mud-Armeen Munlin New numerical algorithms to optimize
cutting operations of a five-axis
milling machine . . . . . . . . . . . . 395--413
Ángel Plaza and
José P. Suárez and
Miguel A. Padrón Non-equivalent partitions of
$d$-triangles with Steiner points . . . 415--430
Andrei I. Tolstykh Centered prescribed-order approximations
with structured grids and resulting
finite-volume schemes . . . . . . . . . 431--440
Anonymous Author Index---Volume 49 (2004) . . . . 441--442
Anonymous Editorial Board . . . . . . . . . . . . CO2--CO2
Jinru Chen and
Junzhi Cui A multiscale finite element method for
elliptic problems with highly
oscillatory coefficients . . . . . . . . 1--13
Isaac Harari and
Rabia Djellouli Analytical study of the effect of wave
number on the performance of local
absorbing boundary conditions for
acoustic scattering . . . . . . . . . . 15--47
Hung-Tsai Huang and
Zi-Cai Li and
Ningning Yan New error estimates of Adini's elements
for Poisson's equation . . . . . . . . . 49--74
T. Luzyanina and
D. Roose and
K. Engelborghs Numerical stability analysis of steady
state solutions of integral equations
with distributed delays . . . . . . . . 75--92
Florentina Tone Error analysis for a second order scheme
for the Navier--Stokes equations . . . . 93--119
Svetlana Yaremchuk and
Vyacheslav Kryzhanivskyy Problem of optimal placement of discrete
physical field sources . . . . . . . . . 121--131
M.-R. Cui Analysis of iterative algorithms of
Uzawa type for saddle point problems . . 133--146
Fabienne Jézéquel Dynamical control of converging
sequences computation . . . . . . . . . 147--164
Jungho Park A primal mixed domain decomposition
procedure based on the nonconforming
streamline diffusion method . . . . . . 165--181
Shamsul Qamar and
Gerald Warnecke Simulation of multicomponent flows using
high order central schemes . . . . . . . 183--201
A. Radid and
J. C. Miellou and
A. Chambaudet and
M. Grivet About a rock thermochronologycal model:
Laslett's law study and time equivalent
method . . . . . . . . . . . . . . . . . 203--226
Ch. Schlier Discrepancy behaviour in the
non-asymptotic regime . . . . . . . . . 227--238
R. Wang and
P. Keast and
P. Muir A high-order global spatially adaptive
collocation method for 1-D parabolic
PDEs . . . . . . . . . . . . . . . . . . 239--260
Xiaonan Wu and
Zhi-Zhong Sun Convergence of difference scheme for
heat equation in unbounded domains using
artificial boundary conditions . . . . . 261--277
Anonymous Editorial Board . . . . . . . . . . . . CO2--CO2
S. Abbasbandy and
M. A. Fariborzi Araghi The use of the stochastic arithmetic to
estimate the value of interpolation
polynomial with optimal degree . . . . . 279--290
O. Angulo and
J. C. López-Marcos Numerical integration of fully nonlinear
size-structured population models . . . 291--327
Thomas Apel and
Sergei Grosman and
Peter K. Jimack and
Arnd Meyer A new methodology for anisotropic mesh
refinement based upon error gradients 329--341
Enrique Bendito and
Ángeles Carmona and
Andrés M. Encinas Difference schemes on uniform grids
performed by general discrete operators 343--370
Stefano Berrone and
Claudio Canuto Multilevel a posteriori error analysis
for reaction--convection--diffusion
problems . . . . . . . . . . . . . . . . 371--394
Yang Cao and
Linda Petzold An error estimate for matrix equations 395--407
Y. A. Erlangga and
C. Vuik and
C. W. Oosterlee On a class of preconditioners for
solving the Helmholtz equation . . . . . 409--425
J. M. Franco Runge--Kutta methods adapted to the
numerical integration of oscillatory
problems . . . . . . . . . . . . . . . . 427--443
A. T. Hill and
W. L. Wan Analysis and numerics for a parabolic
equation with impulsive forcing . . . . 445--474
Svetoslav Markov and
Rene Alt Stochastic arithmetic: Addition and
multiplication by scalars . . . . . . . 475--488
M. S. Petkovi\'c and
T. Sakurai and
L. Ran\vci\'c Family of simultaneous methods of
Hansen--Patrick's type . . . . . . . . . 489--510
M. Redivo-Zaglia Pseudo-Schur complements and their
properties . . . . . . . . . . . . . . . 511--519
Anonymous Author Index --- Volume 50 (2004) . . . 521--522
Anonymous Editorial Board . . . . . . . . . . . . CO2--CO2
J. Blasco and
R. Codina Error estimates for an
operator-splitting method for
incompressible flows . . . . . . . . . . 1--17
Urs Hasler and
Anna Schneebeli and
Dominik Schötzau Mixed finite element approximation of
incompressible MHD problems based on
weighted regularization . . . . . . . . 19--45
Kab Seok Kang Covolume-based intergrid transfer
operator in P $_1$ nonconforming
multigrid method . . . . . . . . . . . . 47--67
Zhiping Li and
Xiaonan Wu Multi-atomic Young measure and
artificial boundary in approximation of
micromagnetics . . . . . . . . . . . . . 69--88
Aslaug H. Stròmmen Melbò and
Desmond J. Higham Numerical simulation of a linear
stochastic oscillator with additive
noise . . . . . . . . . . . . . . . . . 89--99
Magnus Svärd and
Jan Nordström Stability of finite volume
approximations for the Laplacian
operator on quadrilateral and triangular
grids . . . . . . . . . . . . . . . . . 101--125
Anonymous Master Index to Volumes 41--50 . . . . . 127--149
Georgios Akrivis and
Yiorgos-Sokratis Smyrlis Implicit--explicit BDF methods for the
Kuramoto--Sivashinsky equation . . . . . 151--169
S. Bellew and
E. O'Riordan A parameter robust numerical method for
a system of two singularly perturbed
convection--diffusion equations . . . . 171--186
Michal Bene\vs and
Vladimír Chalupecký and
Karol Mikula Geometrical image segmentation by the
Allen--Cahn equation . . . . . . . . . . 187--205
S. M. Choo and
S. K. Chung and
Y. J. Lee A conservative difference scheme for the
viscous Cahn--Hilliard equation with a
nonconstant gradient energy coefficient 207--219
Delin Chu and
Y. S. Hung A numerically reliable solution for the
squaring-down problem in system design 221--241
A. El Guennouni and
K. Jbilou and
H. Sadok The block Lanczos method for linear
systems with multiple right-hand sides 243--256
Rida T. Farouki and
Chang Yong Han Robust plotting of generalized
lemniscates . . . . . . . . . . . . . . 257--272
Natalia Kopteva and
Martin Stynes Numerical analysis of a singularly
perturbed nonlinear reaction--diffusion
problem with multiple solutions . . . . 273--288
M. López-Fernández and
C. Palencia On the numerical inversion of the
Laplace transform of certain holomorphic
mappings . . . . . . . . . . . . . . . . 289--303
Yousef Saad and
Azzeddine Soulaimani and
Ridha Touihri Variations on algebraic recursive
multilevel solvers (ARMS) for the
solution of CFD problems . . . . . . . . 305--327
Rabindranath Sen and
Pulak Guhathakurta A globally convergent ball Stirling
method . . . . . . . . . . . . . . . . . 329--340
Abdellatif Serghini Mounim and
Bernard M. de Dormale A note on Mickens' finite-difference
scheme for the Lotka--Volterra system 341--344
G. Tsamasphyros and
S. Markolefas Integration pointwise pollution error
estimates in the finite element method
in one dimension . . . . . . . . . . . . 345--360
M. H. van Raalte A feasibility study for discontinuous
Galerkin discretization with embedded
Dirichlet boundary condition . . . . . . 361--383
Mao Ye Numerical boundary layers of
conservation laws with relaxation
extension . . . . . . . . . . . . . . . 385--405
Anonymous Editorial Board . . . . . . . . . . . . CO2--CO2
Francesca Pistella and
Rosa Maria Spitaleri Preface . . . . . . . . . . . . . . . . 407--408
Renzo Arina Numerical simulation of near-critical
fluids . . . . . . . . . . . . . . . . . 409--426
Aristotelis N. Athanasiadis and
Herman Deconinck Hierarchical parameter setting for
hybrid grid generation based on the STEP
model representation . . . . . . . . . . 427--436
Robert Beauwens Iterative solution methods . . . . . . . 437--450
Enrico Bertolazzi and
Gianmarco Manzini Least square-based finite volumes for
solving the advection--diffusion of
contaminants in porous media . . . . . . 451--461
Edoardo Bucchignani and
Fulvio Stella and
Fabio Paglia A partition method for the solution of a
coupled liquid-structure interaction
problem . . . . . . . . . . . . . . . . 463--475
Costanza Conti On the convergence of convolved vector
subdivision schemes . . . . . . . . . . 477--486
C. Conti and
R. Morandi Re-parameterisation technique in
algebraic numerical grid generation via
subdivision schemes . . . . . . . . . . 487--496
Mariantonia Cotronei and
Maria Laura Lo Cascio and
Thomas Sauer Dual non-negative rational symbols with
arbitrary approximation order . . . . . 497--510
Luca Formaggia and
Stefano Micheletti and
Simona Perotto Anisotropic mesh adaptation in
computational fluid dynamics:
Application to the
advection--diffusion--reaction and the
Stokes problems . . . . . . . . . . . . 511--533
Daniele Gelli and
Domenico Vitulano Exploiting light projection for Shape
from Shading . . . . . . . . . . . . . . 535--548
Laura Gori and
Laura Pezza and
Francesca Pitolli Recent results on wavelet bases on the
interval generated by GP refinable
functions . . . . . . . . . . . . . . . 549--563
Miguel A. Padrón and
José P. Suárez and
Ángel Plaza Adaptive techniques for unstructured
nested meshes . . . . . . . . . . . . . 565--579
Anonymous Author Index --- Volume 51 (2004) . . . 581--583
Anonymous Editorial Board . . . . . . . . . . . . CO2--CO2
Danny Barash Nonlinear diffusion filtering on
extended neighborhood . . . . . . . . . 1--11
Viorel Bostan and
Weimin Han and
B. D. Reddy A posteriori error estimation and
adaptive solution of elliptic
variational inequalities of the second
kind . . . . . . . . . . . . . . . . . . 13--38
Mehdi Dehghan Efficient techniques for the
second-order parabolic equation subject
to nonlocal specifications . . . . . . . 39--62
Richard W. Johnson Higher order B-spline collocation at the
Greville abscissae . . . . . . . . . . . 63--75
Sang Dong Kim and
Yong Hun Lee and
Suh-Yuh Yang Analysis of $ [H^{-1}, L^2, L^2] $
first-order system least squares for the
incompressible Oseen type equations . . 77--88
José M. A. Matos and
Zélia da Rocha Frobenius--Padé approximants for
$d$-orthogonal series: Theory and
computational aspects . . . . . . . . . 89--112
L. F. Shampine Solving ODEs and DDEs with residual
control . . . . . . . . . . . . . . . . 113--127
Slimane Adjerid and
Peter Moore and
James D. Teresco Preface . . . . . . . . . . . . . . . . 129--132
Karen D. Devine and
Erik G. Boman and
Robert T. Heaphy and
Bruce A. Hendrickson and
James D. Teresco and
Jamal Faik and
Joseph E. Flaherty and
Luis G. Gervasio New challenges in dynamic load balancing 133--152
Huiyu Feng and
Rob Van der Wijngaart and
Rupak Biswas Unstructured adaptive meshes: bad for
your memory? . . . . . . . . . . . . . . 153--173
Bernardo Cockburn and
Bayram Yenikaya An adaptive method with rigorous error
control for the Hamilton--Jacobi
equations. Part I: The one-dimensional
steady state case . . . . . . . . . . . 175--195
M. Berzins Preserving positivity for hyperbolic
PDEs using variable-order finite
elements with bounded polynomials . . . 197--217
Barna Szabó and
Ricardo Actis On the importance and uses of feedback
information in FEA . . . . . . . . . . . 219--234
William F. Mitchell and
Eite Tiesinga Adaptive grid refinement for a model of
two confined and interacting atoms . . . 235--250
Mark S. Shephard and
Joseph E. Flaherty and
Kenneth E. Jansen and
Xiangrong Li and
Xiaojuan Luo and
Nicolas Chevaugeon and
Jean-François Remacle and
Mark W. Beall and
Robert M. O'Bara Adaptive mesh generation for curved
domains . . . . . . . . . . . . . . . . 251--271
Shuyu Sun and
Mary F. Wheeler Discontinuous Galerkin methods for
coupled flow and reactive transport
problems . . . . . . . . . . . . . . . . 273--298
Karl R. Knaub and
Robert E. O'Malley, Jr. and
David B. Williams The slow motion of shock layers for
advection--diffusion--reaction equations 299--310
Anonymous Contents . . . . . . . . . . . . . . . . iii--iv
S. Berres and
R. Bürger and
A. Coronel and
M. Sepúlveda Numerical identification of parameters
for a strongly degenerate
convection--diffusion problem modelling
centrifugation of flocculated
suspensions . . . . . . . . . . . . . . 311--337
F. A. Costabile and
F. Dell'Accio Lidstone approximation on the triangle 339--361
N. Egidi and
P. Maponi A class of network optimization methods
for planar grid generation . . . . . . . 363--379
J. Lon\vcari\'c and
S. V. Tsynkov Quadratic optimization in the problems
of active control of sound . . . . . . . 381--400
Véronique Martin An optimized Schwarz waveform relaxation
method for the unsteady convection
diffusion equation in two dimensions . . 401--428
Amik St-Cyr and
Stephen J. Thomas Nonlinear operator integration factor
splitting for the shallow water
equations . . . . . . . . . . . . . . . 429--448
G. Tsamasphyros and
S. Markolefas Some a priori error estimates with
respect to $ H^\theta $ norms, $ 0 <
\theta < 1 $, for the $h$-extension of
the finite element method in two
dimensions . . . . . . . . . . . . . . . 449--458
Anonymous Author Index --- Volume 52 (2005) . . . 459--460
Anonymous Editorial Board . . . . . . . . . . . . CO2--CO2
Ariel Almendral and
Cornelis W. Oosterlee Numerical valuation of options with
jumps in the underlying . . . . . . . . 1--18
Yueming Cheng and
Duane A. McVay and
W. John Lee BEM for 3D unsteady-state flow problems
in porous media with a
finite-conductivity horizontal wellbore 19--37
C. Díaz-Mendoza and
P. González-Vera and
R. Orive On the convergence of two-point partial
Padé approximants for meromorphic
functions of Stieltjes type . . . . . . 39--56
Shoufu Li B-theory of general linear methods for
Volterra functional differential
equations . . . . . . . . . . . . . . . 57--72
Peter P. Valkó and
Joseph Abate Numerical inversion of $2$-D Laplace
transforms applied to fractional
diffusion equations . . . . . . . . . . 73--88
Ben P. Sommeijer and
Jan G. Verwer and
Karl Strehmel and
Rüdiger Weiner Preface . . . . . . . . . . . . . . . . 89--89
Anonymous Invited Lectures . . . . . . . . . . . . 91--92
K. Arens and
P. Rentrop and
S. O. Stoll and
U. Wever An adjoint approach to optimal design of
turbine blades . . . . . . . . . . . . . 93--105
C. T. H. Baker and
G. A. Bocharov and
C. A. H. Paul and
F. A. Rihan Computational modelling with functional
differential equations: Identification,
selection, and sensitivity . . . . . . . 107--129
Katalin Balla and
Vu Hoang Linh Adjoint pairs of differential-algebraic
equations and Hamiltonian systems . . . 131--148
Z. Bartoszewski and
Z. Jackiewicz Nordsieck representation of two-step
Runge--Kutta methods for ordinary
differential equations . . . . . . . . . 149--163
John C. Butcher and
Nicolette Rattenbury ARK methods for stiff problems . . . . . 165--181
M. P. Calvo and
A. Gerisch Linearly implicit Runge--Kutta methods
and approximate matrix factorization . . 183--200
M. Carpentieri and
B. Paternoster Stability regions of one step mixed
collocation methods for $ y \prime =
f(x, y) $ . . . . . . . . . . . . . . . 201--212
K. Debrabant and
K. Strehmel Convergence of Runge--Kutta methods
applied to linear partial
differential-algebraic equations . . . . 213--229
Mathieu Desbrun and
Melvin Leok and
Jerrold E. Marsden Discrete Poincaré lemma . . . . . . . . . 231--248
I. Faragó and
R. Horváth and
S. Korotov Discrete maximum principle for linear
parabolic problems solved on hybrid
meshes . . . . . . . . . . . . . . . . . 249--264
L. Ferracina and
M. N. Spijker Stepsize restrictions for
total-variation-boundedness in general
Runge--Kutta procedures . . . . . . . . 265--279
Nicola Guglielmi On the Newton iteration in the
application of collocation methods to
implicit delay equations . . . . . . . . 281--297
Wayne Hayes and
Kenneth R. Jackson A survey of shadowing methods for
numerical solutions of ordinary
differential equations . . . . . . . . . 299--321
Marlis Hochbruck and
Alexander Ostermann Exponential Runge--Kutta methods for
parabolic problems . . . . . . . . . . . 323--339
Zoltán Horváth On the positivity step size threshold of
Runge--Kutta methods . . . . . . . . . . 341--356
W. Lucht Partial differential-algebraic systems
of second order with symmetric
convection . . . . . . . . . . . . . . . 357--371
Christoph Lunk and
Bernd Simeon Runge--Kutta--Nyström methods with
maximized stability domain in structural
dynamics . . . . . . . . . . . . . . . . 373--389
Andreas Pfeiffer and
Martin Arnold Numerical analysis of structure
preserving Nyström methods for
Hamiltonian systems . . . . . . . . . . 391--408
H. Podhaisky and
R. Weiner and
B. A. Schmitt Rosenbrock-type `Peer' two-step methods 409--420
R. Pulch Multi time scale differential equations
for simulating frequency modulated
signals . . . . . . . . . . . . . . . . 421--436
J. Rang and
L. Angermann Perturbation index of linear partial
differential-algebraic equations . . . . 437--456
B. A. Schmitt and
R. Weiner and
K. Erdmann Implicit parallel peer methods for stiff
initial value problems . . . . . . . . . 457--470
Monica Selva Soto and
Caren Tischendorf Numerical analysis of DAEs from coupled
circuit and semiconductor simulation . . 471--488
Michael Striebel and
Michael Günther A charge oriented mixed multirate method
for a special class of index-1 network
equations in chip design . . . . . . . . 489--507
M. Van Daele and
G. Vanden Berghe and
H. Vande Vyver Exponentially fitted quadrature rules of
Gauss type for oscillatory integrands 509--526
Jörg Wensch Krylov-ROW methods for DAEs of index 1
with applications to viscoelasticity . . 527--541
Anonymous Author Index --- Volume 53 (2005) . . . 543--545
Anonymous Editorial Board . . . . . . . . . . . . CO2--CO2
F. Ben Belgacem and
Y. Renard and
L. Slimane A mixed formulation for the Signorini
problem in nearly incompressible
elasticity . . . . . . . . . . . . . . . 1--22
Sergio Blanes and
Fernando Casas On the necessity of negative
coefficients for operator splitting
schemes of order higher than two . . . . 23--37
A. Bultheel and
C. Díaz-Mendoza and
P. González-Vera and
R. Orive Orthogonal Laurent polynomials and
quadrature formulas for unbounded
intervals: II. Interpolatory rules . . . 39--63
H. Joulak A contribution to quasi-orthogonal
polynomials and associated polynomials 65--78
Scott A. Sarra Adaptive radial basis function methods
for time dependent partial differential
equations . . . . . . . . . . . . . . . 79--94
Ren-Hong Wang and
Jing-Xin Wang The poisedness of interpolation problem
for splines . . . . . . . . . . . . . . 95--103
Stephen Billups and
Andrew Knyazev and
Jan Mandel Introduction . . . . . . . . . . . . . . 105--106
Peter Arbenz and
Roman Geus Multilevel preconditioned iterative
eigensolvers for Maxwell eigenvalue
problems . . . . . . . . . . . . . . . . 107--121
G. M. Awanou and
M. J. Lai On convergence rate of the augmented
Lagrangian algorithm for nonsymmetric
saddle point problems . . . . . . . . . 122--134
D. Calvetti and
L. Reichel and
A. Shuibi Invertible smoothing preconditioners for
linear discrete ill-posed problems . . . 135--149
Charbel Farhat and
Jing Li An iterative domain decomposition method
for the solution of a class of
indefinite problems in computational
structural dynamics . . . . . . . . . . 150--166
Jan Mandel and
Clark R. Dohrmann and
Radek Tezaur An algebraic theory for primal and dual
substructuring methods by constraints 167--193
Jan Mandel and
Mirela O. Popa Iterative solvers for coupled
fluid--solid scattering . . . . . . . . 194--207
Anna M. Matsekh The Godunov-inverse iteration: a fast
and accurate solution to the symmetric
tridiagonal eigenvalue problem . . . . . 208--221
Ronald B. Morgan Restarted block-GMRES with deflation of
eigenvalues . . . . . . . . . . . . . . 222--236
Kengo Nakajima Three-level hybrid vs. flat MPI on the
Earth Simulator: Parallel iterative
solvers for finite-element method . . . 237--255
Yun-Qiu Shen and
Tjalling J. Ypma Newton's method for singular nonlinear
equations using approximate left and
right nullspaces of the Jacobian . . . . 256--265
Dan Stefanica Parallel FETI algorithms for mortars . . 266--279
Alexandre Timonov and
Michael V. Klibanov A new iterative procedure for the
numerical solution of coefficient
inverse problems . . . . . . . . . . . . 280--291
Yanqiu Wang Overlapping Schwarz preconditioner for
the mixed formulation of plane
elasticity . . . . . . . . . . . . . . . 292--309
Thomas Apel and
Arnd Meyer Preface . . . . . . . . . . . . . . . . 311--313
Manfred Dobrowolski On the LBB condition in the numerical
analysis of the Stokes equations . . . . 314--323
Uwe Risch Superconvergence of a nonconforming low
order finite element . . . . . . . . . . 324--338
B. Flemisch and
J. M. Melenk and
B. I. Wohlmuth Mortar methods with curved interfaces 339--361
O. Steinbach A natural domain decomposition method
with non-matching grids . . . . . . . . 362--377
Zden\vek Dostál and
David Horák and
Dan Stefanica A scalable FETI--DP algorithm for a
coercive variational inequality . . . . 378--390
Sven Beuchler and
Joachim Schöberl Optimal extensions on tensor-product
meshes . . . . . . . . . . . . . . . . . 391--405
U. Langer and
D. Pusch Data-sparse algebraic multigrid methods
for large scale boundary element
equations . . . . . . . . . . . . . . . 406--424
Matthias Maischak and
Ernst P. Stephan Adaptive hp . . . . . . . . . . . . . . 425--449
M. J. Baines and
M. E. Hubbard and
P. K. Jimack A moving mesh finite element algorithm
for the adaptive solution of
time-dependent partial differential
equations with moving boundaries . . . . 450--469
M. Picasso An adaptive algorithm for the Stokes
problem using continuous, piecewise
linear stabilized finite elements and
meshes with high aspect ratio . . . . . 470--490
Rodolfo Araya and
Edwin Behrens and
Rodolfo Rodríguez An adaptive stabilized finite element
scheme for the
advection--reaction--diffusion equation 491--503
Matthias Grajewski and
Jaroslav Hron and
Stefan Turek Dual weighted a posteriori error
estimation for a new nonconforming
linear finite element on quadrilaterals 504--518
R. Becker and
M. Braack and
B. Vexler Parameter identification for chemical
models in combustion problems . . . . . 519--536
Karsten Eppler and
Helmut Harbrecht Fast wavelet BEM for 3d electromagnetic
shaping . . . . . . . . . . . . . . . . 537--554
S. Hüeber and
M. Mair and
B. I. Wohlmuth A priori error estimates and an inexact
primal-dual active set strategy for
linear and quadratic finite elements
applied to multibody contact problems 555--576
T. Chacón Rebollo and
D. Rodríguez Gómez A numerical solver for the primitive
equations of the ocean using
term-by-term stabilization . . . . . . . 1--31
Jean-Paul Chehab and
Marcos Raydan Implicit and adaptive inverse
preconditioned gradient methods for
nonlinear problems . . . . . . . . . . . 32--47
Penny J. Davies and
Dugald B. Duncan and
Barbara Zubik-Kowal The stability of numerical
approximations of the time domain
current induced on thin wire and strip
antennas . . . . . . . . . . . . . . . . 48--68
B. Karasözen and
V. G. Tsybulin Cosymmetry preserving finite-difference
methods for convection equations in a
porous medium . . . . . . . . . . . . . 69--82
Houde Han and
Liang Zhu and
Hermann Brunner and
Jingtang Ma The numerical solution of parabolic
Volterra integro-differential equations
on unbounded spatial domains . . . . . . 83--99
Tomás Chacón Rebollo and
Eliseo Chacón Vera Study of a non-overlapping domain
decomposition method: Steady
Navier--Stokes equations . . . . . . . . 100--124
Saeid Abbasbandy and
Mohammad Ali Fariborzi Araghi A stochastic scheme for solving definite
integrals . . . . . . . . . . . . . . . 125--136
Juan C. Aguilar and
Jonathan B. Goodman An efficient interpolation algorithm on
anisotropic grids for functions with
jump discontinuities in $2$-D . . . . . 137--153
Markus Bause and
Willi Merz Higher order regularity and
approximation of solutions to the Monod
biodegradation model . . . . . . . . . . 154--172
Juan C. Cesco and
Jorge E. Pérez and
Claudia C. Denner and
Graciela O. Giubergiaand and
Ana E. Rosso Rational approximants to evaluate
four-center electron repulsion integrals
for $ 1 s $ hydrogen Slater type
functions . . . . . . . . . . . . . . . 173--190
A. Fraguela and
J. Oliveros and
M. Morín and
L. Cervantes Inverse electroencephalography for
cortical sources . . . . . . . . . . . . 191--203
Sadegh Jokar and
Bahman Mehri The best approximation of some rational
functions in uniform norm . . . . . . . 204--214
Ch. Roland and
R. Varadhan New iterative schemes for nonlinear
fixed point problems, with applications
to problems with bifurcations and
incomplete-data problems . . . . . . . . 215--226
J. Mead and
B. Zubik-Kowal An iterated pseudospectral method for
delay partial differential equations . . 227--250
Francesca Pistella and
Rosa Maria Spitaleri Preface . . . . . . . . . . . . . . . . 251--252
V. Botte and
D. Mansutti and
A. Pascarelli Numerical modeling of iron corrosion due
to an acidic aqueous solution . . . . . 253--263
Gary C. Cheng and
Roy P. Koomullil and
Bharat K. Soni High fidelity field simulations using
density and pressure based approaches 264--282
N. Egidi and
P. Maponi A linearly constrained optimization
problem for planar grid generation . . . 283--294
V. A. Garanzha Quasi-isometric surface parameterization 295--311
Laura Gori and
Elisabetta Santi Convergence properties of certain
refinable quasi-interpolatory operators 312--321
P. Maponi A numerical method for a direct obstacle
scattering problem . . . . . . . . . . . 322--333
Maria Morandi Cecchi and
Maria Antonietta Pirozzi High order finite difference numerical
methods for time-dependent
convection--dominated problems . . . . . 334--356
Miguel A. Padrón and
José P. Suárez and
Ángel Plaza A comparative study between some
bisection based partitions in $3$D . . . 357--367
Alan M. Shih and
Tzu-Yi Yu and
Sankarappan Gopalsamy and
Yasushi Ito and
Bharat Soni Geometry and mesh generation for high
fidelity computational simulations using
non-uniform rational B-splines . . . . . 368--381
Robert Vichnevetsky Editorial . . . . . . . . . . . . . . . 383--383
Slimane Adjerid and
Mohamed Salim Even--odd goal-oriented a posteriori . . 384--402
Gianluigi Rozza Reduced-basis methods for elliptic
equations in sub-domains with a
posteriori error bounds and adaptivity 403--424
Elsayed M. E. Elbarbary and
Salah M. El-Sayed Higher order pseudospectral
differentiation matrices . . . . . . . . 425--438
M. I. M. Copetti and
D. A. French Numerical approximation and error
control for a thermoelastic contact
problem . . . . . . . . . . . . . . . . 439--457
Angel Plaza and
Miguel A. Padrón and
José P. Suárez Non-degeneracy study of the
$8$-tetrahedra longest-edge partition 458--472
Nabendra Parumasur and
Janusz R. Mika Amplitude-shape method for solving
partial differential equations of
chemical kinetics . . . . . . . . . . . 473--479
Ben-yu Guo and
Zhong-qing Wang and
Zheng-su Wan and
Delin Chu Second order Jacobi approximation with
applications to fourth-order
differential equations . . . . . . . . . 480--502
Inmaculada Higueras and
Teo Roldán Stage value predictors for additive and
partitioned Runge--Kutta methods . . . . 1--18
M. B. Liu and
G. R. Liu Restoring particle consistency in
smoothed particle hydrodynamics . . . . 19--36
A. R. Ruuskanen and
A. Seppänen and
S. Duncan and
E. Somersalo and
J. P. Kaipio Using process tomography as a sensor for
optimal control . . . . . . . . . . . . 37--54
Matti Malinen and
Stephen R. Duncan and
Tomi Huttunen and
Jari P. Kaipio Feedforward and feedback control of
ultrasound surgery . . . . . . . . . . . 55--79
Mark M. Meerschaert and
Charles Tadjeran Finite difference approximations for
two-sided space-fractional partial
differential equations . . . . . . . . . 80--90
Sòren Christiansen and
Per A. Madsen On truncated Taylor series and the
position of their spurious zeros . . . . 91--104
Xuli Han Quadratic trigonometric polynomial
curves concerning local control . . . . 105--115
François Courty and
David Leservoisier and
Paul-Louis George and
Alain Dervieux Continuous metrics and mesh adaptation 117--145
Sylvain Maire and
Christophe De Luigi Quasi-Monte Carlo quadratures for
multivariate smooth functions . . . . . 146--162
Houari Boumedi\`ene Khenous and
Julien Pommier and
Yves Renard Hybrid discretization of the Signorini
problem with Coulomb friction.
Theoretical aspects and comparison of
some numerical solvers . . . . . . . . . 163--192
Zhi-zhong Sun and
Xiaonan Wu A fully discrete difference scheme for a
diffusion-wave system . . . . . . . . . 193--209
S. González-Pinto and
D. Hernández-Abreu Semi-implicit methods for differential
systems with semi-stable equilibria . . 210--221
Rosalind Archer $ C_1 $ continuous solutions from the
Green element method using Overhauser
elements . . . . . . . . . . . . . . . . 222--229
M. J. Baines and
M. E. Hubbard and
P. K. Jimack and
A. C. Jones Scale-invariant moving finite elements
for nonlinear partial differential
equations in two dimensions . . . . . . 230--252
João R. Cardoso and
F. Silva Leite Padé and Gregory error estimates for the
logarithm of block triangular matrices 253--267
Zdzislaw Jackiewicz Preface . . . . . . . . . . . . . . . . 269--270
Alan Feldstein Convergence and asymptotic error
expansion for Euler's method for
variable delay differential equations 271--283
Christopher T. H. Baker and
Christopher A. H. Paul Discontinuous solutions of neutral delay
differential equations . . . . . . . . . 284--304
Dimitri Breda Solution operator approximations for
characteristic roots of delay
differential equations . . . . . . . . . 305--317
Dimitri Breda and
Stefano Maset and
Rossana Vermiglio Pseudospectral approximation of
eigenvalues of derivative operators with
non-local boundary conditions . . . . . 318--331
Z. Bartoszewski and
M. Kwapisz Remarks on evaluation of spectral radius
of operators arising in WR methods for
linear systems of ODEs . . . . . . . . . 332--344
J. C. Butcher and
H. Podhaisky On error estimation in general linear
methods for stiff ODEs . . . . . . . . . 345--357
J. C. Butcher and
W. M. Wright Applications of doubly companion
matrices . . . . . . . . . . . . . . . . 358--373
H. Podhaisky and
R. Weiner and
B. A. Schmitt Linearly-implicit two-step methods and
their implementation in Nordsieck form 374--387
J. H. Verner Improved starting methods for two-step
Runge--Kutta methods of stage-order $ p
- 3 $ . . . . . . . . . . . . . . . . . 388--396
C. T. H. Baker and
E. O. Agyingi and
E. I. Parmuzin and
F. A. Rihan and
Yihong Song Sense from sensitivity and variation of
parameters . . . . . . . . . . . . . . . 397--412
Chris Budd and
Othmar Koch and
Ewa Weinmüller From nonlinear PDEs to singular ODEs . . 413--422
Z. Jackiewicz and
M. Rahman and
B. D. Welfert Numerical solution of a Fredholm
integro-differential equation modelling
neural networks . . . . . . . . . . . . 423--432
Z. Jackiewicz and
B. Zubik-Kowal Spectral collocation and waveform
relaxation methods for nonlinear delay
partial differential equations . . . . . 433--443
Jianguo Xin and
Joseph E. Flaherty Viscous stabilization of discontinuous
Galerkin solutions of hyperbolic
conservation laws . . . . . . . . . . . 444--458
W. H. Enright Software for ordinary and delay
differential equations: Accurate
discrete approximate solutions are not
enough . . . . . . . . . . . . . . . . . 459--471
Alan Feldstein and
Kenneth W. Neves and
Skip Thompson Sharpness results for state dependent
delay differential equations: An
overview . . . . . . . . . . . . . . . . 472--487
Gustaf Söderlind Time-step selection algorithms:
Adaptivity, control, and signal
processing . . . . . . . . . . . . . . . 488--502
S. Thompson and
L. F. Shampine A friendly Fortran DDE solver . . . . . 503--516
Alan Feldstein and
Peter R. Turner Gradual and tapered overflow and
underflow: a functional differential
equation and its approximation . . . . . 517--532
F. C. Hoppensteadt and
Z. Jackiewicz Numerical solution of a problem in the
theory of epidemics . . . . . . . . . . 533--543
Edisanter Lo Parametric target detection algorithm
based on ISLIM for hyperspectral imaging 544--558
Athena Makroglou and
Jiaxu Li and
Yang Kuang Mathematical models and software tools
for the glucose-insulin regulatory
system and diabetes: an overview . . . . 559--573
L. F. Shampine and
P. Gahinet Delay-differential-algebraic equations
in control theory . . . . . . . . . . . 574--588
Milan Kucha\vrík and
Richard Liska and
Stanly Steinberg and
Burton Wendroff Optimally-stable second-order accurate
difference schemes for non-linear
conservation laws in $3$D . . . . . . . 589--607
Luigi Brugnano and
Cecilia Magherini Economical error estimates for block
implicit methods for ODEs via deferred
correction . . . . . . . . . . . . . . . 608--617
M. De la Sen On the adaptive control of a class of
SISO dynamic hybrid systems . . . . . . 618--647
Y. A. Erlangga and
C. Vuik and
C. W. Oosterlee Comparison of multigrid and incomplete
LU shifted-Laplace preconditioners for
the inhomogeneous Helmholtz equation . . 648--666
Evelyn Buckwar One-step approximations for stochastic
functional differential equations . . . 667--681
M. M. Cerimele and
D. Mansutti and
F. Pistella Horizontal solidification of average and
low Prandtl fluids in microgravity . . . 682--694
Robert Artebrant and
Hans Joachim Schroll Numerical simulation of Camassa--Holm
peakons by adaptive upwinding . . . . . 695--711
Hung-Tsai Huang and
Zi-Cai Li and
Aihui Zhou New error estimates of biquadratic
Lagrange elements for Poisson's equation 712--744
M. A. Rincon and
I.-Shih Liu Error estimates of vibrations of elastic
string with moving ends . . . . . . . . 745--755
Chang-Yeol Jung Numerical approximation of
convection--diffusion equations in a
channel using boundary layer elements 756--777
S. Noelle and
W. Rosenbaum and
M. Rumpf $3$D adaptive central schemes: Part I.
Algorithms for assembling the dual mesh 778--799
Yanzhao Cao and
M. Y. Hussaini and
T. Zang and
A. Zatezalo A variance reduction method based on
sensitivity derivatives . . . . . . . . 800--813
Jialin Hong and
Ying Liu and
Hans Munthe-Kaas and
Antonella Zanna Globally conservative properties and
error estimation of a multi-symplectic
scheme for Schrödinger equations with
variable coefficients . . . . . . . . . 814--843
Gh. Juncu and
E. Mosekilde and
C. Popa Numerical experiments with MG
continuation algorithms . . . . . . . . 844--861
Berta García-Celayeta and
Inmaculada Higueras and
Teo Roldán Contractivity/monotonicity for additive
Runge--Kutta methods: Inner product
norms . . . . . . . . . . . . . . . . . 862--878
T. Ergenç and
B. Karasözen Poisson integrators for Volterra lattice
equations . . . . . . . . . . . . . . . 879--887
F. J. Gaspar and
F. J. Lisbona and
P. N. Vabishchevich Staggered grid discretizations for the
quasi-static Biot's consolidation
problem . . . . . . . . . . . . . . . . 888--898
Ansgar Jüngel and
Shaoqiang Tang Numerical approximation of the viscous
quantum hydrodynamic model for
semiconductors . . . . . . . . . . . . . 899--915
Yunxin Zhang and
Yongji Tan Convergence of general meshless Schwarz
method using radial basis functions . . 916--936
Shipeng Mao and
Shaochun Chen and
Huixia Sun A quadrilateral, anisotropic,
superconvergent, nonconforming double
set parameter element . . . . . . . . . 937--961
J. L. Gracia and
E. O'Riordan and
M. L. Pickett A parameter robust second order
numerical method for a singularly
perturbed two-parameter problem . . . . 962--980
Wolfram Heineken and
Gerald Warnecke Partitioning methods for
reaction--diffusion problems . . . . . . 981--1000
Jian-Hu Feng and
Li Cai and
Wen-Xian Xie CWENO-type central-upwind schemes for
multidimensional Saint-Venant system of
shallow water equations . . . . . . . . 1001--1017
L'ubomír Ba\vnas and
Marián Slodi\vcka Error estimates for
Landau--Lifshitz--Gilbert equation with
magnetostriction . . . . . . . . . . . . 1019--1039
J. M. Franco New methods for oscillatory systems
based on ARKN methods . . . . . . . . . 1040--1053
Whye-Teong Ang A numerical method for the wave equation
subject to a non-local conservation
condition . . . . . . . . . . . . . . . 1054--1060
B. Bujanda and
J. C. Jorge Stability results for linearly implicit
fractional step discretizations of
non-linear time dependent parabolic
problems . . . . . . . . . . . . . . . . 1061--1076
John P. Boyd Computing real roots of a polynomial in
Chebyshev series form through
subdivision . . . . . . . . . . . . . . 1077--1091
Younbae Jun and
Tsun-Zee Mai ADI method --- Domain decomposition . . 1092--1107
Giulio Della Rocca and
Maria Carmela Lombardo and
Marco Sammartino and
Vincenzo Sciacca Singularity tracking for Camassa--Holm
and Prandtl's equations . . . . . . . . 1108--1122
Costanza Conti and
Rossana Morandi and
Rosa Maria Spitaleri An algebraic grid optimization algorithm
using condition numbers . . . . . . . . 1123--1133
Maurizio Falcone and
Roberto Ferretti Numerical Methods for Viscosity
Solutions and Applications . . . . . . . 1135--1135
O. Alvarez and
E. Carlini and
R. Monneau and
E. Rouy Convergence of a first order scheme for
a non-local eikonal equation . . . . . . 1136--1146
O. Bokanowski and
S. Martin and
R. Munos and
H. Zidani An anti-diffusive scheme for viability
problems . . . . . . . . . . . . . . . . 1147--1162
Klaus Deckelnick and
Charles M. Elliott Propagation of graphs in two-dimensional
inhomogeneous media . . . . . . . . . . 1163--1178
Daniele A. Di Pietro and
Stefania Lo Forte and
Nicola Parolini Mass preserving finite element
implementations of the level set method 1179--1195
Florian Bauer and
Lars Grüne and
Willi Semmler Adaptive spline interpolation for
Hamilton--Jacobi--Bellman equations . . 1196--1210
Steve Bryson and
Doron Levy Mapped WENO and weighted power ENO
reconstructions in semi-discrete central
schemes for Hamilton--Jacobi equations 1211--1224
Fabio Camilli and
Emmanuel Prados Shape-from-Shading with discontinuous
image brightness . . . . . . . . . . . . 1225--1237
M. Rorro An approximation scheme for the
effective Hamiltonian and applications 1238--1254
Gabriel N. Gatica and
Norbert Heuer and
Rodolfo Rodríguez Preface . . . . . . . . . . . . . . . . 1255--1255
Alfredo Bermúdez and
Maria R. Nogueiras and
Carlos Vázquez Numerical solution of variational
inequalities for pricing Asian options
by higher order Lagrange--Galerkin
methods . . . . . . . . . . . . . . . . 1256--1270
Daniele Boffi On the finite element method on
quadrilateral meshes . . . . . . . . . . 1271--1282
Daniele Boffi and
Lucia Gastaldi Interpolation estimates for edge finite
elements and application to band gap
computation . . . . . . . . . . . . . . 1283--1292
Rommel Bustinza A unified analysis of the local
discontinuous Galerkin method for a
class of nonlinear problems . . . . . . 1293--1306
Paul Castillo A review of the Local Discontinuous
Galerkin (LDG) method applied to
elliptic problems . . . . . . . . . . . 1307--1313
Ricardo G. Durán and
Ariel L. Lombardi Finite element approximation of
convection diffusion problems using
graded meshes . . . . . . . . . . . . . 1314--1325
Karsten Eppler and
Helmut Harbrecht Efficient treatment of stationary free
boundary problems . . . . . . . . . . . 1326--1339
María González Fully discrete FEM--BEM method for a
class of exterior nonlinear
parabolic--elliptic problems in $2$D . . 1340--1355
George C. Hsiao Boundary element methods---An overview 1356--1369
Matthias Maischak Multiplicative Schwarz algorithms for
the $p$-version Galerkin boundary
element method in $3$D . . . . . . . . . 1370--1382
Reinhold Schneider and
Toralf Weber Wavelets for density matrix computation
in electronic structure calculation . . 1383--1396
Raimund Bürger and
Aníbal Coronel and
Mauricio Sepúlveda On an upwind difference scheme for
strongly degenerate parabolic equations
modelling the settling of suspensions in
centrifuges and non-cylindrical vessels 1397--1417
Alina Chertock and
Alexander Kurganov On a practical implementation of
particle methods . . . . . . . . . . . . 1418--1431
M. Clausel and
M. Duruflé and
P. Joly and
S. Tordeux A mathematical analysis of the resonance
of the finite thin slots . . . . . . . . 1432--1449
C. Merkle and
C. Rohde Computation of dynamical phase
transitions in solids . . . . . . . . . 1450--1463
E. F. Toro MUSTA: a multi-stage numerical flux . . 1464--1479
Magnus Svärd and
Jing Gong and
Jan Nordström Stable artificial dissipation operators
for finite volume schemes on
unstructured grids . . . . . . . . . . . 1481--1490
J. J. Sudirham and
J. J. W. van der Vegt and
R. M. J. van Damme Space--time discontinuous Galerkin
method for advection--diffusion problems
on time-dependent domains . . . . . . . 1491--1518
S. Blanes and
P. C. Moan Fourth- and sixth-order commutator-free
Magnus integrators for linear and
non-linear dynamical systems . . . . . . 1519--1537
S. Kim and
K. L. Kreider Parameter identification for nonlinear
elastic and viscoelastic plates . . . . 1538--1554
Li Cai and
Jian-Hu Feng and
Wen-Xian Xie and
Jun Zhou Tracking discontinuities in shallow
water equations and ideal
magnetohydrodynamics equations via Ghost
Fluid Method . . . . . . . . . . . . . . 1555--1569
M. Jung and
T. D. Todorov Isoparametric multigrid method for
reaction--diffusion equations on
two-dimensional domains . . . . . . . . 1570--1583
Xinyuan Wu and
Jianlin Xia Extended Runge--Kutta-like formulae . . 1584--1605
Jian-guo Tang and
He-ping Ma A Legendre spectral method in time for
first-order hyperbolic equations . . . . 1--11
John P. Boyd Rootfinding for a transcendental
equation without a first guess:
Polynomialization of Kepler's equation
through Chebyshev polynomial expansion
of the sine . . . . . . . . . . . . . . 12--18
K. J. in 't Hout and
B. D. Welfert Stability of ADI schemes applied to
convection--diffusion equations with
mixed derivative terms . . . . . . . . . 19--35
Jorn Bruggeman and
Hans Burchard and
Bob W. Kooi and
Ben Sommeijer A second-order, unconditionally
positive, mass-conserving integration
scheme for biochemical systems . . . . . 36--58
Rajen K. Sinha and
Jürgen Geiser Error estimates for finite volume
element methods for
convection--diffusion--reaction
equations . . . . . . . . . . . . . . . 59--72
G. A. Evans and
K. C. Chung Evaluating infinite range oscillatory
integrals using generalised quadrature
methods . . . . . . . . . . . . . . . . 73--79
Jinhai Chen and
Weiguo Li An improved exponential regula falsi
methods with quadratic convergence of
both diameter and point for solving
nonlinear equations . . . . . . . . . . 80--88
J. R. Branco and
J. A. Ferreira and
P. de Oliveira Numerical methods for the generalized
Fisher--Kolmogorov--Petrovskii--Piskunov
equation . . . . . . . . . . . . . . . . 89--102
Zhenli Xu and
Peng Zhang and
Ruxun Liu $ \delta $-mapping algorithm coupled
with WENO reconstruction for nonlinear
elasticity in heterogeneous media . . . 103--116
S. Van Criekingen and
R. Beauwens Mixed-hybrid discretization methods for
the $ P_1 $ equations . . . . . . . . . 117--130
Víctor Domínguez and
Francisco-Javier Sayas Overlapped BEM--FEM for some Helmholtz
transmission problems . . . . . . . . . 131--146
Yoshio Komori Multi-colored rooted tree analysis of
the weak order conditions of a
stochastic Runge--Kutta family . . . . . 147--165
Yonglei Fang and
Xinyuan Wu A new pair of explicit ARKN methods for
the numerical integration of general
perturbed oscillators . . . . . . . . . 166--175
M. Vohralík and
J. Mary\vska and
O. Severýn Mixed and nonconforming finite element
methods on a system of polygons . . . . 176--193
Hyeona Lim and
Seongjai Kim and
Jim Douglas Jr Numerical methods for viscous and
nonviscous wave equations . . . . . . . 194--212
Jae-Hun Jung A note on the Gibbs phenomenon with
multiquadric radial basis functions . . 213--229
Mircea Ivan A note on the Hermite interpolation
polynomial for rational functions . . . 230--233
Heng-Bin An and
Zhong-Zhi Bai A globally convergent Newton--GMRES
method for large sparse systems of
nonlinear equations . . . . . . . . . . 235--252
Yuan-Ming Wang The extrapolation of Numerov's scheme
for nonlinear two-point boundary value
problems . . . . . . . . . . . . . . . . 253--269
Chunxiong Zheng Error analysis of a coupled
finite--infinite element method for an
exterior Poisson problem . . . . . . . . 270--280
A. Engelsone and
S. L. Campbell and
J. T. Betts Direct transcription solution of
higher-index optimal control problems
and the virtual index . . . . . . . . . 281--296
C. Pantano An additive semi-implicit Runge--Kutta
family of schemes for nonstiff systems 297--303
Andreas Karageorghis and
C. S. Chenand and
Yiorgos-Sokratis Smyrlis A matrix decomposition RBF algorithm:
Approximation of functions and their
derivatives . . . . . . . . . . . . . . 304--319
Graciela M. Croceri and
Graciela N. Sottosanto and
María Cristina Maciel Augmented penalty algorithms based on
BFGS secant approximations and trust
regions . . . . . . . . . . . . . . . . 320--334
Wendy Kress Error estimates for deferred correction
methods in time . . . . . . . . . . . . 335--353
J. A. Ezquerro and
M. A. Hernández Halley's method for operators with
unbounded second derivative . . . . . . 354--360
Michael Herty and
Mohammed Sea\"\id and
Anita K. Singh A domain decomposition method for
conservation laws with discontinuous
flux function . . . . . . . . . . . . . 361--373
V. S. Ryaben'kii and
S. V. Utyuzhnikov Differential and finite-difference
problems of active shielding . . . . . . 374--382
Y. Epshteyn and
B. Rivi\`ere Fully implicit discontinuous finite
element methods for two-phase flow . . . 383--401
Seongjai Kim and
Hyeona Lim High-order schemes for acoustic waveform
simulation . . . . . . . . . . . . . . . 402--414
M. Van Daele and
G. Vanden Berghe Geometric numerical integration by means
of exponentially-fitted methods . . . . 415--435
Peter Frolkovi\vc and
Karol Mikula Flux-based level set method: a finite
volume method for evolving interfaces 436--454
Ben-yu Guo and
Xiao-yong Zhang Spectral method for differential
equations of degenerate type on
unbounded domains by using generalized
Laguerre functions . . . . . . . . . . . 455--471
Zhilin Li and
Yongzhong Song and
Tao Tang Preface of the special issue of APNUM
International Conference on Scientific
Computing in Nanjing, China . . . . . . 473--474
Shaozhong Deng Numerical simulation of optical coupling
and light propagation in coupled optical
resonators with size disorder . . . . . 475--485
Juri D. Kandilarov and
Lubin G. Vulkov The immersed interface method for
two-dimensional heat-diffusion equations
with singular own sources . . . . . . . 486--497
Weimin Han and
M. Sofonea On a dynamic contact problem for
elastic-visco-plastic materials . . . . 498--509
L. X. Wang and
Roderick V. N. Melnik Model reduction applied to square to
rectangular martensitic transformations
using proper orthogonal decomposition 510--520
Liang Bao and
Yiqin Lin and
Yimin Wei A new projection method for solving
large Sylvester equations . . . . . . . 521--532
Hermann Brunner High-order collocation methods for
singular Volterra functional equations
of neutral type . . . . . . . . . . . . 533--548
Yanzhao Cao and
Min Huang and
Liping Liu and
Yuesheng Xu Hybrid collocation methods for Fredholm
integral equations with weakly singular
kernels . . . . . . . . . . . . . . . . 549--561
Jinru Chen and
Peiqi Huang Analysis of mortar-type $ Q_1^{\hbox
{rot}} / Q_0 $ element and multigrid
methods for the incompressible Stokes
problem . . . . . . . . . . . . . . . . 562--576
Y. Efendiev and
T. Hou Multiscale finite element methods for
porous media flows and their
applications . . . . . . . . . . . . . . 577--596
Song Jiang and
Guoxi Ni A second-order $ \gamma $-model BGK
scheme for multimaterial compressible
flows . . . . . . . . . . . . . . . . . 597--608
Yun-Qiu Shen and
Tjalling J. Ypma Solving rank-deficient separable
nonlinear equations . . . . . . . . . . 609--615
Yinnian He and
Yunxian Liu and
Tao Tang On large time-stepping methods for the
Cahn--Hilliard equation . . . . . . . . 616--628
Yunxian Liu and
Chi-Wang Shu Local discontinuous Galerkin methods for
moment models in device simulations:
Performance assessment and
two-dimensional results . . . . . . . . 629--645
Yongxin Yuan and
Hua Dai Inverse problems for symmetric matrices
with a submatrix constraint . . . . . . 646--656
I. Klapper and
T. Shaw A large jump asymptotic framework for
solving elliptic and parabolic equations
with interfaces and strong coefficient
discontinuities . . . . . . . . . . . . 657--671
Meijun Wu and
Li Wang and
Yongzhong Song Preconditioned AOR iterative method for
linear systems . . . . . . . . . . . . . 672--685
Xue-Cheng Tai and
Hongwei Li A piecewise constant level set method
for elliptic inverse problems . . . . . 686--696
Yanzhi Zhang and
Weizhu Bao Dynamics of the center of mass in
rotating Bose--Einstein condensates . . 697--709
Jie Shen and
Li-Lian Wang Fourierization of the Legendre--Galerkin
method and a new space--time spectral
method . . . . . . . . . . . . . . . . . 710--720
T. G. Liu and
B. C. Khoo The accuracy of the modified ghost fluid
method for gas--gas Riemann problem . . 721--733
W. F. Xie and
T. G. Liu and
B. C. Khoo The simulation of cavitating flows
induced by underwater shock and free
surface interaction . . . . . . . . . . 734--745
Guangwei Yuan and
Xudeng Hang Parallel iterative difference schemes
based on prediction techniques for $ S_n
$ transport method . . . . . . . . . . . 746--752
H. T. Banks and
Jimena L. Davis A comparison of approximation methods
for the estimation of probability
distributions on parameters . . . . . . 753--777
B. M. Lewis and
H. T. Tran Real-time implementation of a frequency
shaping controller on a cantilever beam 778--790
K. W. Liang and
P. Lin and
R. C. E. Tan Numerical solution of quenching problems
using mesh-dependent variable temporal
steps . . . . . . . . . . . . . . . . . 791--800
Ming-Chih Lai and
Chin-Tien Wu and
Yu-Hou Tseng An efficient semi-coarsening multigrid
method for variable diffusion problems
in cylindrical coordinates . . . . . . . 801--810
K. Ito and
J. Toivanen A fast iterative solver for scattering
by elastic objects in layered media . . 811--820
Hailiang Liu and
Zhongming Wang Computing multi-valued velocity and
electric fields for $1$D Euler--Poisson
equations . . . . . . . . . . . . . . . 821--836
Pierre A. Gremaud and
Christopher M. Kuster and
Zhilin Li A study of numerical methods for the
level set approach . . . . . . . . . . . 837--846
Lok Ming Lui and
Yalin Wang and
Tony F. Chan and
Paul Thompson Landmark constrained genus zero surface
conformal mapping and its application to
brain mapping research . . . . . . . . . 847--858
Jeongho Ahn A vibrating string with dynamic
frictionless impact . . . . . . . . . . 861--884
Edouard Debry and
Bruno Sportisse Numerical simulation of the general
dynamic equation (GDE) for aerosols with
two collocation methods . . . . . . . . 885--898
Zhi-Hao Cao Positive stable block triangular
preconditioners for symmetric saddle
point problems . . . . . . . . . . . . . 899--910
Thor Gjesdal Implicit--explicit methods based on
strong stability preserving multistep
time discretizations . . . . . . . . . . 911--919
A. Meseguer and
F. Mellibovsky On a solenoidal Fourier--Chebyshev
spectral method for stability analysis
of the Hagen--Poiseuille flow . . . . . 920--938
Ben-Yu Guo and
Wei Huang Mixed Jacobi-spherical harmonic spectral
method for Navier--Stokes equations . . 939--961
A. Mazroui and
D. Sbibih and
A. Tijini Recursive computation of bivariate
Hermite spline interpolants . . . . . . 962--973
M. Campo and
J. R. Fernández and
K. L. Kuttler and
M. Shillor Quasistatic evolution of damage in an
elastic body: numerical analysis and
computational experiments . . . . . . . 975--988
Boniface Nkemzi Optimal convergence recovery for the
Fourier-finite-element approximation of
Maxwell's equations in nonsmooth
axisymmetric domains . . . . . . . . . . 989--1007
Edouard Debry and
Bruno Sportisse Solving aerosol coagulation with
size-binning methods . . . . . . . . . . 1008--1020
Vani Cheruvu and
Ramachandran D. Nair and
Henry M. Tufo A spectral finite volume transport
scheme on the cubed-sphere . . . . . . . 1021--1032
Y. B. Zhao Enlarging neighborhoods of
interior-point algorithms for linear
programming via least values of
proximity measure functions . . . . . . 1033--1049
M. Luká\vcová-Medvid'ová and
G. Warnecke and
Y. Zahaykah Finite volume evolution Galerkin (FVEG)
methods for three-dimensional wave
equation system . . . . . . . . . . . . 1050--1064
Kwang Y. Kim A posteriori error estimators for
locally conservative methods of
nonlinear elliptic problems . . . . . . 1065--1080
Yuan-Ming Wang Monotone iterative technique for
numerical solutions of fourth-order
nonlinear elliptic boundary value
problems . . . . . . . . . . . . . . . . 1081--1096
Nguyen Huu Cong and
Nguyen Van Minh Continuous parallel-iterated RKN-type PC
methods for nonstiff IVPs . . . . . . . 1097--1107
W. Dörfler and
V. Heuveline Convergence of an adaptive hp . . . . . 1108--1124
L. Formaggia and
S. Micheletti and
R. Sacco and
A. Veneziani Mathematical modelling and numerical
simulation of a glow-plug . . . . . . . 1125--1144
Youdong Lin and
Mark A. Stadtherr Validated solutions of initial value
problems for parametric ODEs . . . . . . 1145--1162
Erricos John Kontoghiorghes and
Bernard Philippe 2nd Special issue on Numerical
Algorithms, Parallelism and Applications 1163--1163
L. Giraud and
S. Gratton and
E. Martin Incremental spectral preconditioners for
sequences of linear systems . . . . . . 1164--1180
Pasqua D'Ambra and
Daniela di Serafino and
Salvatore Filippone On the development of PSBLAS-based
parallel two-level Schwarz
preconditioners . . . . . . . . . . . . 1181--1196
Guy Antoine Atenekeng Kahou and
Emmanuel Kamgnia and
Bernard Philippe An explicit formulation of the
multiplicative Schwarz preconditioner 1197--1213
C. Bekas and
E. Kokiopoulou and
Y. Saad An estimator for the diagonal of a
matrix . . . . . . . . . . . . . . . . . 1214--1229
Dian I. Martin and
John C. Martin and
Michael W. Berry and
Murray Browne Out-of-core SVD performance for document
indexing . . . . . . . . . . . . . . . . 1230--1239
Xiao-Wen Chang and
Christopher C. Paige Euclidean distances and least squares
problems for a given set of vectors . . 1240--1244
Petko I. Yanev and
Erricos J. Kontoghiorghes Computationally efficient methods for
estimating the updated-observations SUR
models . . . . . . . . . . . . . . . . . 1245--1258
Iana Siomina and
Sven Ahlinder Lean optimization using supersaturated
experimental design . . . . . . . . . . 1--15
R. Bermejo and
J. Carpio An adaptive finite element
semi-Lagrangian implicit--explicit
Runge--Kutta--Chebyshev method for
convection dominated reaction--diffusion
problems . . . . . . . . . . . . . . . . 16--39
M. Ragulskis and
L. Saunoriene Generalisations of the compound
trapezoidal rule . . . . . . . . . . . . 40--58
Domingo Barrera-Rosillo and
María José Ibáñez-Pérez Bernstein--Bézier representation and
near-minimally normed discrete
quasi-interpolation operators . . . . . 59--68
Jonas Koko Convergence analysis of
optimization-based domain decomposition
methods for a bonded structure . . . . . 69--87
Lorella Fatone and
Daniele Funaro and
Gang Joon Yoon A convergence analysis for the
superconsistent Chebyshev method . . . . 88--100
Jiming Wu and
Yingxi Wang and
Wen Li and
Weiwei Sun Toeplitz-type approximations to the
Hadamard integral operator and their
applications to electromagnetic cavity
problems . . . . . . . . . . . . . . . . 101--121
Wan-Sheng Wang and
Yuan Zhang and
Shou-Fu Li Nonlinear stability of one-leg methods
for delay differential equations of
neutral type . . . . . . . . . . . . . . 122--130
Z. C. Li The Treffetz method for the Helmholtz
equation with degeneracy . . . . . . . . 131--159
Nguyen Huu Cong and
Le Ngoc Xuan Improved parallel-iterated pseudo
two-step RK methods for nonstiff IVPs 160--170
A. I. Hascelik Modified anti-Gauss and degree optimal
average formulas for Gegenbauer measure 171--179
J. P. Kenne and
L. J. Nkeungoue Simultaneous control of production,
preventive and corrective maintenance
rates of a failure-prone manufacturing
system . . . . . . . . . . . . . . . . . 180--194
Paolo Novati Some secant approximations for
Rosenbrock $W$-methods . . . . . . . . . 195--211
I. Moret and
P. Novati A rational Krylov method for solving
time-periodic differential equations . . 212--222
J. C. Chang and
T. M. H. Chan and
D. J. L. Chen Enhanced order composition methods . . . 223--235
Menglong Su and
Zhenxin Liu Modified homotopy methods to solve fixed
points of self-mapping in a broader
class of nonconvex sets . . . . . . . . 236--248
Ali Reza Soheili and
John M. Stockie A moving mesh method with variable mesh
relaxation time . . . . . . . . . . . . 249--263
Ramon Codina Analysis of a stabilized finite element
approximation of the Oseen equations
using orthogonal subscales . . . . . . . 264--283
C. Kahl and
M. Günther and
T. Rossberg Structure preserving stochastic
integration schemes in interest rate
derivative modeling . . . . . . . . . . 284--295
María José Cantero and
Ruymán Cruz-Barroso and
Pablo González-Vera A matrix approach to the computation of
quadrature formulas on the unit circle 296--318
N. Broekhuizen and
Graham J. Rickard and
J. Bruggeman and
A. Meister An improved and generalized second
order, unconditionally positive, mass
conserving integration scheme for
biochemical systems . . . . . . . . . . 319--340
Yonglei Fang and
Xinyuan Wu A trigonometrically fitted explicit
Numerov-type method for second-order
initial value problems with oscillating
solutions . . . . . . . . . . . . . . . 341--351
J. C.-F. Wong The Galerkin finite element method for
the solution of some spatio-temporally
dependent reaction diffusion systems . . 352--375
Christina Christara and
Peter Forsyth and
Tamas Terlaky and
Justin W. L. Wan Seventh IMACS International Symposium on
Iterative Methods in Scientific
Computing May 5--8, 2005, The University
of Toronto, Toronto, Ontario, Canada . . 377--380
Peter Arbenz and
Oscar Chinellato On solving complex-symmetric eigenvalue
problems arising in the design of
axisymmetric VCSEL devices . . . . . . . 381--394
Stefan Emet and
Tapio Westerlund Solving a dynamic separation problem
using MINLP techniques . . . . . . . . . 395--406
Rainer Fischer and
Thomas Huckle Multigrid solution techniques for
anisotropic structured linear systems 407--421
Eldad Haber A parallel method for large scale time
domain electromagnetic inverse problems 422--434
Judith Hartmann and
Andreas Krahnke and
Christoph Zenger Cache efficient data structures and
algorithms for adaptive multidimensional
multilevel finite element solvers . . . 435--448
Roummel F. Marcia On solving sparse symmetric linear
systems whose definiteness is unknown 449--458
Abdessamad Qaddouri and
Lahcen Laayouni and
Sébastien Loisel and
Jean Côté and
Martin J. Gander Optimized Schwarz methods with an
overset grid for the shallow-water
equations: preliminary results . . . . . 459--471
Yotka Rickard An efficient wavelet-based solution of
electromagnetic field problems . . . . . 472--485
M. Robbé and
M. Sadkane Use of near-breakdowns in the block
Arnoldi method for solving large
Sylvester equations . . . . . . . . . . 486--498
Jane E. Tougas and
Raymond J. Spiteri Two uses for updating the partial
singular value decomposition in latent
semantic indexing . . . . . . . . . . . 499--510
Linxiang Wang and
Roderick V. N. Melnik Simulation of phase combinations in
shape memory alloys patches by hybrid
optimization methods . . . . . . . . . . 511--524
J. M. Urquiza and
D. N'Dri and
A. Garon and
M. C. Delfour Coupling Stokes and Darcy equations . . 525--538
I. Alonso-Mallo and
B. Cano and
M. J. Moreta Optimal time order when implicit
Runge--Kutta--Nyström methods solve
linear partial differential equations 539--562
C. A. Dorao and
H. A. Jakobsen hp . . . . . . . . . . . . . . . . . . . 563--576
Rick Archibald and
Anne Gelb and
Jungho Yoon Determining the locations and
discontinuities in the derivatives of
functions . . . . . . . . . . . . . . . 577--592
María G. Armentano and
Claudio Padra A posteriori error estimates for the
Steklov eigenvalue problem . . . . . . . 593--601
Yuying Shi and
Qianshun Chang Acceleration methods for image
restoration problem with different
boundary conditions . . . . . . . . . . 602--614
K. Djadel and
S. Nicaise A non-conforming finite volume element
method of weighted upstream type for the
two-dimensional stationary
Navier--Stokes system . . . . . . . . . 615--634
D. Barrera and
M. A. Fortes and
P. González and
M. Pasadas Minimal energy surfaces on Powell--Sabin
type triangulations . . . . . . . . . . 635--645
Tianhe Zhou and
Danfu Han and
Ming-Jun Lai Energy minimization method for scattered
data Hermite interpolation . . . . . . . 646--659
Matthias Ehrhardt Discrete transparent boundary conditions
for Schrödinger-type equations for
non-compactly supported initial data . . 660--673
A. A. I. Peer and
A. Gopaul and
M. Z. Dauhoo and
M. Bhuruth A new fourth-order non-oscillatory
central scheme for hyperbolic
conservation laws . . . . . . . . . . . 674--688
Zi-Cai Li and
Hsin-Yun Hu and
Song Wang and
Qing Fang Superconvergence of solution derivatives
of the Shortley--Weller difference
approximation to Poisson's equation with
singularities on polygonal domains . . . 689--704
J. C. Mandal and
J. Subramanian On the link between weighted
least-squares and limiters used in
higher-order reconstructions for finite
volume computations of hyperbolic
equations . . . . . . . . . . . . . . . 705--725
Robert Schaback Recovery of functions from weak data
using unsymmetric meshless kernel-based
methods . . . . . . . . . . . . . . . . 726--741
Simon S. Clift and
Peter A. Forsyth Numerical solution of two asset jump
diffusion models for option valuation 743--782
S. M. Choo and
S. K. Chung and
K. I. Kim A discontinuous Galerkin method for the
Rosenau equation . . . . . . . . . . . . 783--799
Youngmok Jeon and
Eun-Jae Park Nonconforming cell boundary element
methods for elliptic problems on
triangular mesh . . . . . . . . . . . . 800--814
Huailing Song and
Yirang Yuan An upwind-mixed method on changing
meshes for two-phase miscible flow in
porous media . . . . . . . . . . . . . . 815--826
Zhiming Gao and
Yichen Ma and
Hongwei Zhuang Shape optimization for Stokes flow . . . 827--844
Anita T. Layton On the choice of correctors for
semi-implicit Picard deferred correction
methods . . . . . . . . . . . . . . . . 845--858
Li Cai and
Jian-Hu Feng and
Wen-Xian Xie An efficient ghost fluid method for
compressible multifluids in Lagrangian
coordinate . . . . . . . . . . . . . . . 859--870
Martin H. Gutknecht and
Thomas Schmelzer Updating the QR decomposition of block
tridiagonal and block Hessenberg
matrices . . . . . . . . . . . . . . . . 871--883
Rongjun Cheng and
Yumin Cheng Error estimates for the finite point
method . . . . . . . . . . . . . . . . . 884--898
Peter Jakubik and
Roland Potthast Testing the integrity of some cavity ---
the Cauchy problem and the range test 899--914
Min Li and
Aiguo Xiao Characterizations and construction of
Poisson/symplectic and symmetric
multi-revolution implicit Runge--Kutta
methods of high order . . . . . . . . . 915--930
Mejdi Azaiez and
Ernest H. Mund Preface . . . . . . . . . . . . . . . . 933--934
E. Leriche and
P. Lallemand and
G. Labrosse Stokes eigenmodes in cubic domain:
primitive variable and Lattice Boltzmann
formulations . . . . . . . . . . . . . . 935--945
R. Pasquetti and
R. Bwemba and
L. Cousin A pseudo-penalization method for high
Reynolds number unsteady flows . . . . . 946--954
E. Ahusborde and
M. Aza\"\iez and
M. O. Deville and
R. Gruber and
E. H. Mund Constructive spectral approaches for the
Helmholtz decomposition of a vector
field . . . . . . . . . . . . . . . . . 955--967
Nicolas Bodard and
Roland Bouffanais and
Michel O. Deville Solution of moving-boundary problems by
the spectral element method . . . . . . 968--984
M. Aza\"\iez and
M. O. Deville and
R. Gruber and
E. H. Mund A new hp . . . . . . . . . . . . . . . . 985--998
Zhijian Rong and
Chuanju Xu Numerical approximation of acoustic
waves by spectral element methods . . . 999--1016
Michael S. Broadhurst and
Spencer J. Sherwin The parabolised stability equations for
$3$D-flows: implementation and numerical
stability . . . . . . . . . . . . . . . 1017--1029
Beth A. Wingate and
Mark A. Taylor Performance of numerically computed
quadrature points . . . . . . . . . . . 1030--1041
Juan Cheng and
Chi-Wang Shu A high order accurate conservative
remapping method on staggered meshes . . 1042--1060
Salim Meddahi and
Virginia Selgas An $H$-based FEM--BEM formulation for a
time dependent eddy current problem . . 1061--1083
A. Aimi and
M. Diligenti Numerical integration schemes for
Petrov--Galerkin infinite BEM . . . . . 1084--1102
V. Grimm and
G. R. W. Quispel Geometric integration methods that
unconditionally contract volume . . . . 1103--1112
Jijun Liu and
Ming Ni A model function method for determining
the regularizing parameter in potential
approach for the recovery of scattered
wave . . . . . . . . . . . . . . . . . . 1113--1128
H. H. Mehne On solving constrained shape
optimization problems for finding the
optimum shape of a bar cross-section . . 1129--1141
Magnus Svärd and
Jing Gong and
Jan Nordström An accuracy evaluation of unstructured
node-centred finite volume methods . . . 1142--1158
J. I. H. Lopez and
J. R. Meneghini and
F. Saltara Discrete approximation to the global
spectrum of the tangent operator for
flow past a circular cylinder . . . . . 1159--1167
Sergio Amat Plata A review on the piecewise polynomial
harmonic interpolation . . . . . . . . . 1168--1185
Jan Maes and
Adhemar Bultheel Stability analysis of biorthogonal
multiwavelets whose duals are not in $
L_2 $ and its application to local
semiorthogonal lifting . . . . . . . . . 1186--1211
R. Scherer and
S. L. Kalla and
L. Boyadjiev and
B. Al-Saqabi Numerical treatment of fractional heat
equations . . . . . . . . . . . . . . . 1212--1223
E. H. Doha and
A. H. Bhrawy Efficient spectral-Galerkin algorithms
for direct solution of fourth-order
differential equations using Jacobi
polynomials . . . . . . . . . . . . . . 1224--1244
Shuhuang Xiang and
Weihua Gui and
Pinghua Mo Numerical quadrature for Bessel
transformations . . . . . . . . . . . . 1247--1261
Changfeng Li and
Yirang Yuan Domain decomposition with characteristic
finite difference method for two-phase
displacement problems . . . . . . . . . 1262--1273
M. Campo and
J. R. Fernández and
Á. Rodríguez-Arós A quasistatic contact problem with
normal compliance and damage involving
viscoelastic materials with long memory 1274--1290
Zi Cai Li and
Hung-Tsai Huang and
Jin Huang Effective condition number of the
Hermite finite element methods for
biharmonic equations . . . . . . . . . . 1291--1308
D. Y. Tangman and
A. Gopaul and
M. Bhuruth Exponential time integration and
Chebychev discretisation schemes for
fast pricing of options . . . . . . . . 1309--1319
Luca Ded\`e and
Stefano Micheletti and
Simona Perotto Anisotropic error control for
environmental applications . . . . . . . 1320--1339
Zhensheng Yu Solving bound constrained optimization
via a new nonmonotone spectral projected
gradient method . . . . . . . . . . . . 1340--1348
Li-Qun Cao and
Jian-Lan Luo Multiscale numerical algorithm for the
elliptic eigenvalue problem with the
mixed boundary in perforated domains . . 1349--1374
Hongli Yang and
Xinyuan Wu Trigonometrically-fitted ARKN methods
for perturbed oscillators . . . . . . . 1375--1395
Paulo Roberto Bergamaschi and
Sezimária de Fátima Pereira Saramago and
Leandro dos Santos Coelho Comparative study of SQP and
metaheuristics for robotic manipulator
design . . . . . . . . . . . . . . . . . 1396--1412
Ph. Caussignac A gauge finite element method for the
$2$D Navier--Stokes problem . . . . . . 1413--1433
Raul Kangro and
Peeter Oja Convergence of spline collocation for
Volterra integral equations . . . . . . 1434--1447
Tian-jun Wang and
Ben-yu Guo Composite generalized Laguerre--Legendre
pseudospectral method for Fokker--Planck
equation in an infinite channel . . . . 1448--1466
Christoph Schlier On scrambled Halton sequences . . . . . 1467--1478
Dongjin Kim and
Dan Stanescu Low-storage Runge--Kutta methods for
stochastic differential equations . . . 1479--1502
Yinnian He and
Jian Li A stabilized finite element method based
on local polynomial pressure projection
for the stationary Navier--Stokes
equations . . . . . . . . . . . . . . . 1503--1514
Dongbin Xiu Numerical integration formulas of degree
two . . . . . . . . . . . . . . . . . . 1515--1520
S. V. Utyuzhnikov Robin-type wall functions and their
numerical implementation . . . . . . . . 1521--1533
Li Bingjie and
Kou Guangxing and
Zhao Huiwen Conjugate gradient-boundary element
solution using multiple reciprocity
method for distributed elliptic optimal
control problems . . . . . . . . . . . . 1534--1552
J. V. Salcedo and
M. Martínez LPV identification of a turbocharged
diesel engine . . . . . . . . . . . . . 1553--1571
S. Chandra Sekhara Rao and
Mukesh Kumar Exponential B-spline collocation method
for self-adjoint singularly perturbed
boundary value problems . . . . . . . . 1572--1581
Guoliang He and
Yinnian He and
Zhangxin Chen A penalty finite volume method for the
transient Navier--Stokes equations . . . 1583--1613
Xianjin Chen and
Jianxin Zhou and
Xudong Yao A numerical method for finding multiple
co-existing solutions to nonlinear
cooperative systems . . . . . . . . . . 1614--1627
Philipp Birken and
Jurjen Duintjer Tebbens and
Andreas Meister and
Miroslav T\ocircuma Preconditioner updates applied to CFD
model problems . . . . . . . . . . . . . 1628--1641
Chunjia Bi and
Wenbin Chen Mortar finite volume element method with
Crouzeix--Raviart element for parabolic
problems . . . . . . . . . . . . . . . . 1642--1657
Ch. Nagaiah and
S. Rüdiger and
G. Warnecke and
M. Falcke Adaptive numerical simulation of
intracellular calcium dynamics using
domain decomposition methods . . . . . . 1658--1674
L. Ferracina and
M. N. Spijker Strong stability of
singly-diagonally-implicit Runge--Kutta
methods . . . . . . . . . . . . . . . . 1675--1686
E. W. Sachs and
A. K. Strauss Efficient solution of a partial
integro-differential equation in finance 1687--1703
E. Burman and
A. Linke Stabilized finite element schemes for
incompressible flow using
Scott--Vogelius elements . . . . . . . . 1704--1719
Zhiming Gao and
Yichen Ma Shape gradient of the dissipated energy
functional in shape optimization for the
viscous incompressible flow . . . . . . 1720--1741
Christophe Vandekerckhove and
Pieter Van Leemput and
Dirk Roose Acceleration of lattice Boltzmann models
through state extrapolation: a
reaction--diffusion example . . . . . . 1742--1757
Jan Brandts and
Barry Koren and
Jan Verwer Preface . . . . . . . . . . . . . . . . 1759--1760
E. O'Riordan and
G. I. Shishkin Parameter uniform numerical methods for
singularly perturbed elliptic problems
with parabolic boundary layers . . . . . 1761--1772
R. M. M. Mattheij Numerical volume preservation of a
divergence free fluid under symmetry . . 1773--1788
Martin Stynes and
Lutz Tobiska Using rectangular $ Q_p $ elements in
the SDFEM for a convection diffusion
problem with a boundary layer . . . . . 1789--1802
Christoph Pflaum A multigrid conjugate gradient method 1803--1817
S. Franz and
T. Linß and
H.-G. Roos Superconvergence analysis of the SDFEM
for elliptic problems with
characteristic layers . . . . . . . . . 1818--1829
Thomas Apel and
Tobias Knopp and
Gert Lube Stabilized finite element methods with
anisotropic mesh refinement for the
Oseen problem . . . . . . . . . . . . . 1830--1843
M. Espig and
W. Hackbusch On the robustness of elliptic resolvents
computed by means of the technique of
hierarchical matrices . . . . . . . . . 1844--1851
J. Maubach Dirichlet degrees of freedom need not be
eliminated . . . . . . . . . . . . . . . 1852--1860
Hervé Guillard and
Ale\vs Janka and
Petr Van\vek Analysis of an algebraic
Petrov--Galerkin smoothed aggregation
multigrid method . . . . . . . . . . . . 1861--1874
Rob Stevenson More on the order of prolongations and
restrictions . . . . . . . . . . . . . . 1875--1880
Arthur E. P. Veldman and
Ka-Wing Lam Symmetry-preserving upwind
discretization of convection on
non-uniform grids . . . . . . . . . . . 1881--1891
J. J. W. van der Vegt and
J. J. Sudirham A space--time discontinuous Galerkin
method for the time-dependent Oseen
equations . . . . . . . . . . . . . . . 1892--1917
Jean-Antoine Désidéri Interpolation of infinite sequences by
entire functions . . . . . . . . . . . . 1918--1932
C. W. Oosterlee and
F. J. Gaspar Multigrid relaxation methods for systems
of saddle point type . . . . . . . . . . 1933--1950
E. H. van Brummelen and
K. G. van der Zee and
R. de Borst Space/time multigrid for a
fluid--structure-interaction problem . . 1951--1971
W. H. A. Schilders and
P. B. L. Meijer and
E. Ciggaar Behavioural modelling using the MOESP
algorithm, dynamic neural networks and
the Bartels--Stewart algorithm . . . . . 1972--1993
Yongzeng Lai Intermediate rank lattice rules and
applications to finance . . . . . . . . 1--20
I. Alonso-Mallo and
B. Cano and
M. J. Moreta The stability of rational approximations
of cosine functions on Hilbert spaces 21--38
Nguyen S. Hoang and
Roger B. Sidje Functionally fitted explicit pseudo
two-step Runge--Kutta methods . . . . . 39--55
S. Barbeiro Supraconvergent cell-centered scheme for
two dimensional elliptic problems . . . 56--72
Eleuterio F. Toro and
Arturo Hidalgo ADER finite volume schemes for nonlinear
reaction--diffusion equations . . . . . 73--100
A. Ihsan Hascelik Suitable Gauss and Filon-type methods
for oscillatory integrals with an
algebraic singularity . . . . . . . . . 101--118
A. Loubenets and
T. Ali and
M. Hanke Highly accurate finite element method
for one-dimensional elliptic interface
problems . . . . . . . . . . . . . . . . 119--134
Robert K. Moniot Deming least-squares fit to multiple
hyperplanes . . . . . . . . . . . . . . 135--150
Zhi-Hao Cao Constraint Schur complement
preconditioners for nonsymmetric saddle
point problems . . . . . . . . . . . . . 151--169
Y.-Y. Kwan Efficient spectral-Galerkin methods for
polar and cylindrical geometries . . . . 170--186
Lars Ferm and
Per Lötstedt Adaptive solution of the master equation
in low dimensions . . . . . . . . . . . 187--204
M. Pasadas and
M. L. Rodríguez Construction and approximation of
surfaces by discrete PDE splines on a
polygonal domain . . . . . . . . . . . . 205--218
Shangyou Zhang A family of $3$D continuously
differentiable finite elements on
tetrahedral grids . . . . . . . . . . . 219--233
Chungen Shen and
Wenjuan Xue and
Dingguo Pu Global convergence of a tri-dimensional
filter SQP algorithm based on the line
search method . . . . . . . . . . . . . 235--250
Jiannong Fang and
Aur\`ele Parriaux and
Martin Rentschler and
Christophe Ancey Improved SPH methods for simulating free
surface flows of viscous fluids . . . . 251--271
Michael A. Singer and
William H. Green Using adaptive proper orthogonal
decomposition to solve the
reaction--diffusion equation . . . . . . 272--279
Beong In Yun and
Kyung Soo Rim Construction of Lanczos type filters for
the Fourier series approximation . . . . 280--300
Claire Chainais-Hillairet and
Yue-Jue Peng and
Ingrid Violet Numerical solutions of Euler--Poisson
systems for potential flows . . . . . . 301--315
Seonhee Kim and
Sang Dong Kim Preconditioning on high-order element
methods using Chebyshev--Gauss--Lobatto
nodes . . . . . . . . . . . . . . . . . 316--333
Sang Dong Kim and
Byeong-Chun Shin Adjoint pseudospectral least-squares
methods for an elliptic boundary value
problem . . . . . . . . . . . . . . . . 334--348
Bo\vsko S. Jovanovi\'c and
Lubin G. Vulkov Finite difference approximations for
some interface problems with variable
coefficients . . . . . . . . . . . . . . 349--372
David I. Ketcheson and
Colin B. Macdonald and
Sigal Gottlieb Optimal implicit strong stability
preserving Runge--Kutta methods . . . . 373--392
R. Radha and
S. Sivananthan Local reconstruction of a function from
a non-uniform sampled data . . . . . . . 393--403
Ben Sommeijer and
Jan Verwer and
Martin Arnold and
Rüdiger Weiner Preface . . . . . . . . . . . . . . . . 405--409
Walter Alt and
Nils Bräutigam Discretization of elliptic control
problems with time dependent parameters 410--423
Pierluigi Amodio and
Luigi Brugnano Parallel solution in time of ODEs: some
achievements and perspectives . . . . . 424--435
A. Araújo and
J. R. Branco and
J. A. Ferreira On the stability of a class of splitting
methods for integro-differential
equations . . . . . . . . . . . . . . . 436--453
A. Arrarás and
L. Portero and
J. C. Jorge A combined mixed finite element ADI
scheme for solving Richards' equation
with mixed derivatives on irregular
grids . . . . . . . . . . . . . . . . . 454--467
H. A. Ashi and
L. J. Cummings and
P. C. Matthews Comparison of methods for evaluating
functions of a matrix exponential . . . 468--486
Bruce P. Ayati A comparison of the dynamics of the
structured cell population in virtual
and experimental \em Proteus mirabilis 487--494
A. Bartel and
S. Knorr and
R. Pulch Wavelet-based adaptive grids for
multirate partial differential-algebraic
equations . . . . . . . . . . . . . . . 495--506
Tim Boonen and
Jan Van lent and
Stefan Vandewalle An algebraic multigrid method for high
order time-discretizations of the
div-grad and the curl-curl equations . . 507--521
M. A. Botchev and
I. Faragó and
R. Horváth Application of operator splitting to the
Maxwell equations including a source
term . . . . . . . . . . . . . . . . . . 522--541
Luigi Brugnano and
Cecilia Magherini Recent advances in linear analysis of
convergence for splittings for solving
ODE problems . . . . . . . . . . . . . . 542--557
J. C. Butcher Order and stability of generalized Padé
approximations . . . . . . . . . . . . . 558--567
Marco Caliari and
Alexander Ostermann Implementation of exponential
Rosenbrock-type integrators . . . . . . 568--581
Kristian Debrabant and
Andreas Rößler Families of efficient second order
Runge--Kutta methods for the weak
approximation of Itô stochastic
differential equations . . . . . . . . . 582--594
Kristian Debrabant and
Andreas Rößler Diagonally drift-implicit Runge--Kutta
methods of weak order one and two for Itô
SDEs and stability analysis . . . . . . 595--607
Jürgen Geiser and
Christos Kravvaritis A domain decomposition method based on
the iterative operator splitting method 608--623
A. Gerisch and
J. Lang and
H. Podhaisky and
R. Weiner High-order linearly implicit two-step
peer -- finite element methods for
time-dependent PDEs . . . . . . . . . . 624--638
Vladimir K. Gorbunov and
Igor V. Lutoshkin and
Yuliya V. Martynenko A parametrization method for the
numerical solution of singular
differential equations . . . . . . . . . 639--655
Vladimir K. Gorbunov and
Vyacheslav Yu. Sviridov The method of normal splines for linear
DAEs on the number semi-axis . . . . . . 656--670
M. Hermann and
Th. Milde Computing eigenfunctions of singular
points in nonlinear parametrized
two-point BVPs . . . . . . . . . . . . . 671--676
K. J. in 't Hout and
B. D. Welfert Unconditional stability of second-order
ADI schemes applied to multi-dimensional
diffusion equations with mixed
derivative terms . . . . . . . . . . . . 677--692
Willem Hundsdorfer and
Valeriu Savcenco Analysis of a multirate theta-method for
stiff ODEs . . . . . . . . . . . . . . . 693--706
G. Yu. Kulikov and
S. K. Shindin Adaptive nested implicit Runge--Kutta
formulas of Gauss type . . . . . . . . . 707--722
Francesca Mazzia and
Alessandra Sestini and
Donato Trigiante The continuous extension of the B-spline
linear multistep methods for BVPs on
non-uniform meshes . . . . . . . . . . . 723--738
S. Qamar and
I. Angelov and
M. P. Elsner and
A. Ashfaq and
A. Seidel-Morgenstern and
G. Warnecke Numerical approximations of a population
balance model for coupled batch
preferential crystallizers . . . . . . . 739--753
Mohammed Sea\"\id An Eulerian--Lagrangian method for
coupled parabolic-hyperbolic equations 754--768
B. A. Schmitt and
R. Weiner and
S. Jebens Parameter optimization for explicit
parallel peer two-step methods . . . . . 769--782
B. Skaflestad and
W. M. Wright The scaling and modified squaring method
for matrix functions related to the
exponential . . . . . . . . . . . . . . 783--799
Michael Striebel and
Andreas Bartel and
Michael Günther A multirate ROW-scheme for index-1
network equations . . . . . . . . . . . 800--814
G. Vanden Berghe and
M. Van Daele Exponentially-fitted Obrechkoff methods
for second-order differential equations 815--829
Georg Wimmer and
Thorsten Steinmetz and
Markus Clemens Reuse, Recycle, Reduce ($3$R) --
strategies for the calculation of
transient magnetic fields . . . . . . . 830--844
L. J. Alvarez-Vázquez and
A. Martínez and
M. E. Vázquez-Méndez and
M. A. Vilar An application of optimal control theory
to river pollution remediation . . . . . 845--858
Maria Macconi and
Benedetta Morini and
Margherita Porcelli Trust-region quadratic methods for
nonlinear systems of mixed equalities
and inequalities . . . . . . . . . . . . 859--876
Janne M. J. Huttunen and
Jari P. Kaipio Model reduction in state identification
problems with an application to
determination of thermal parameters . . 877--890
Chengming Huang Strong stability preserving hybrid
methods . . . . . . . . . . . . . . . . 891--904
Junjiang Lai and
Jianguo Huang and
Chuanmiao Chen Vibration analysis of plane elasticity
problems by the $ C^0 $ continuous time
stepping finite element method . . . . . 905--919
Xianmin Xu and
Zhiping Li Non-conforming finite element and
artificial boundary in multi-atomic
Young measure approximation for
micromagnetics . . . . . . . . . . . . . 920--937
D. Sbibih and
A. Serghini and
A. Tijini Polar forms and quadratic spline
quasi-interpolants on Powell--Sabin
partitions . . . . . . . . . . . . . . . 938--958
J. M. Franco and
I. Gómez Accuracy and linear stability of RKN
methods for solving second-order stiff
problems . . . . . . . . . . . . . . . . 959--975
Huo-yuan Duan and
Shao-qin Gao and
Bo-nan Jiang and
Roger C. E. Tan Analysis of a least-squares finite
element method for the thin plate
problem . . . . . . . . . . . . . . . . 976--987
Zhenguo Deng and
Heping Ma Optimal error estimates of the Fourier
spectral method for a class of nonlocal,
nonlinear dispersive wave equations . . 988--1010
Ben-Yu Guo and
Jie Shen and
Li-Lian Wang Generalized Jacobi polynomials/functions
and their applications . . . . . . . . . 1011--1028
Junseok Kim and
Kyungkeun Kang A numerical method for the ternary
Cahn--Hilliard system with a degenerate
mobility . . . . . . . . . . . . . . . . 1029--1042
Mehdi Dehghan and
Davoud Mirzaei Meshless Local Petrov--Galerkin (MLPG)
method for the unsteady
magnetohydrodynamic (MHD) flow through
pipe with arbitrary wall conductivity 1043--1058
G. Gambino and
M. C. Lombardo and
M. Sammartino A velocity--diffusion method for a
Lotka--Volterra system with nonlinear
cross and self-diffusion . . . . . . . . 1059--1074
Yuan-Ming Wang Numerical solutions of a
Michaelis--Menten-type ratio-dependent
predator--prey system with diffusion . . 1075--1093
A. Lamnii and
H. Mraoui and
D. Sbibih Quadratic spherical spline
quasi-interpolants on Powell--Sabin
partitions . . . . . . . . . . . . . . . 1094--1109
Coralia Cartis Some disadvantages of a Mehrotra-type
primal-dual corrector interior point
algorithm for linear programming . . . . 1110--1119
Sebastian Schlenkrich and
Andrea Walther Global convergence of quasi-Newton
methods based on adjoint Broyden updates 1120--1136
Shaochun Chen and
Yongqin Yang and
Shipeng Mao Anisotropic conforming rectangular
elements for elliptic problems of any
order . . . . . . . . . . . . . . . . . 1137--1148
J. A. Ezquerro and
M. A. Hernández Fourth-order iterations for solving
Hammerstein integral equations . . . . . 1149--1158
Burak Aksoylu and
Hector Klie A family of physics-based
preconditioners for solving elliptic
equations on highly heterogeneous media 1159--1186
Kamal Shanazari and
Nima Rabie A three dimensional adaptive nodes
technique applied to meshless-type
methods . . . . . . . . . . . . . . . . 1187--1197
Peng Wang and
Zhenxin Liu Split-step backward balanced Milstein
methods for stiff stochastic systems . . 1198--1213
C. Bernardi and
T. Chacón Rebollo and
E. Chacón Vera and
D. Franco Coronil A posteriori error analysis for two
non-overlapping domain decomposition
techniques . . . . . . . . . . . . . . . 1214--1236
Mihály Makai and
Miklós Antal Applications of finite groups to
iterative problems in reactor physics 1237--1257
J. Martín-Vaquero and
J. Vigo-Aguiar A note on efficient techniques for the
second-order parabolic equation subject
to non-local conditions . . . . . . . . 1258--1264
Davod Khojasteh Salkuyeh and
Faezeh Toutounian A sparse-sparse iteration for computing
a sparse incomplete factorization of the
inverse of an SPD matrix . . . . . . . . 1265--1273
P. Hansbo and
M. Juntunen Weakly imposed Dirichlet boundary
conditions for the Brinkman model of
porous media flow . . . . . . . . . . . 1274--1289
C. I. Gheorghiu and
Florica-Ioana Dragomirescu Spectral methods in linear stability.
Applications to thermal convection with
variable gravity field . . . . . . . . . 1290--1302
Slimane Adjerid and
Tao Lin A $p$-th degree immersed finite element
for boundary value problems with
discontinuous coefficients . . . . . . . 1303--1321
Ercília Sousa On the edge of stability analysis . . . 1322--1336
M. E. Hubbard and
M. J. Baines and
P. K. Jimack Consistent Dirichlet boundary conditions
for numerical solution of moving
boundary problems . . . . . . . . . . . 1337--1353
Siqing Gan Dissipativity of $ \theta $-methods for
nonlinear delay differential equations
of neutral type . . . . . . . . . . . . 1354--1365
I. V. Boykov and
E. S. Ventsel and
A. I. Boykova Accuracy optimal methods for evaluating
hypersingular integrals . . . . . . . . 1366--1385
Ben-yu Guo and
Jian-ping Yan Legendre--Gauss collocation method for
initial value problems of second order
ordinary differential equations . . . . 1386--1408
Chengjian Zhang and
Yaoyao He The extended one-leg methods for
nonlinear neutral
delay-integro-differential equations . . 1409--1418
Suman Roy and
A. S. Vasudeva Murthy and
Ramesh B. Kudenatti A numerical method for the
hyperbolic-heat conduction equation
based on multiple scale technique . . . 1419--1430
M. Alper Tunga and
Metin Demiralp Bound analysis in univariately truncated
Generalized High Dimensional Model
Representation for random-data
partitioning: Interval GHDMR . . . . . . 1431--1448
Jae-Hun Jung and
Vincent R. Durante An iterative adaptive multiquadric
radial basis function method for the
detection of local jump discontinuities 1449--1466
H. Barucq and
R. Djellouli and
A. Saint-Guirons Performance assessment of a new class of
local absorbing boundary conditions for
elliptical- and prolate
spheroidal-shaped boundaries . . . . . . 1467--1498
F. Peyraut and
Z.-Q. Feng and
Q.-C. He and
N. Labed Robust numerical analysis of homogeneous
and non-homogeneous deformations . . . . 1499--1514
Sebastiano Boscarino On an accurate third order
implicit-explicit Runge--Kutta method
for stiff problems . . . . . . . . . . . 1515--1528
I. P. Gavrilyuk and
M. Hermann and
M. V. Kutniv and
V. L. Makarov Adaptive algorithms based on exact
difference schemes for nonlinear BVPs on
the half-axis . . . . . . . . . . . . . 1529--1536
Davod Khojasteh Salkuyeh and
Faezeh Toutounian Optimal iterate of the power and inverse
iteration methods . . . . . . . . . . . 1537--1548
Weibing Deng and
Xulai Yun and
Chunhong Xie Convergence analysis of the multiscale
method for a class of
convection--diffusion equations with
highly oscillating coefficients . . . . 1549--1567
Houde Han and
Zhiwen Zhang An analysis of the finite-difference
method for one-dimensional Klein--Gordon
equation on unbounded domain . . . . . . 1568--1583
Changfeng Li and
Yirang Yuan A modified upwind difference domain
decomposition method for
convection--diffusion equations . . . . 1584--1598
Weiping Shen and
Chong Li Kantorovich-type convergence criterion
for inexact Newton methods . . . . . . . 1599--1611
Robert Nürnberg Numerical simulations of immiscible
fluid clusters . . . . . . . . . . . . . 1612--1628
Anita T. Layton On the efficiency of spectral deferred
correction methods for time-dependent
partial differential equations . . . . . 1629--1643
L. Aceto and
P. Ghelardoni and
C. Magherini Boundary Value Methods as an extension
of Numerov's method for Sturm--Liouville
eigenvalue estimates . . . . . . . . . . 1644--1656
Feng Wang and
Jinru Chen and
Wei Xu and
Zhilin Li An additive Schwarz preconditioner for
the mortar-type rotated $ Q_1 $ FEM for
elliptic problems with discontinuous
coefficients . . . . . . . . . . . . . . 1657--1667
Mostafa Bendahmane and
Raimund Bürger and
Ricardo Ruiz-Baier and
Kai Schneider Adaptive multiresolution schemes with
local time stepping for two-dimensional
degenerate reaction--diffusion systems 1668--1692
F. J. Gaspar and
J. L. Gracia and
F. J. Lisbona and
C. Rodrigo On geometric multigrid methods for
triangular grids using three-coarsening
strategy . . . . . . . . . . . . . . . . 1693--1708
Wen-Jing Xie and
Fu-Rong Lin A fast numerical solution method for two
dimensional Fredholm integral equations
of the second kind . . . . . . . . . . . 1709--1719
D. Conte and
B. Paternoster Multistep collocation methods for
Volterra Integral Equations . . . . . . 1721--1736
R. Hartmann and
M. Luká\vcová-Medvid'ová and
F. Prill Efficient preconditioning for the
discontinuous Galerkin finite element
method by low-order elements . . . . . . 1737--1753
Kai Zhang and
Song Wang A computational scheme for uncertain
volatility model in option pricing . . . 1754--1767
Qiao Zhu and
Aiguo Xiao Parallel two-step ROW-methods for stiff
delay differential equations . . . . . . 1768--1778
Zi-Cai Li and
Hung-Tsai Huang Effective condition number for the
finite element method using local mesh
refinements . . . . . . . . . . . . . . 1779--1795
Anahí Dello Russo and
Ana Alonso Finite element approximation of Maxwell
eigenproblems on curved Lipschitz
polyhedral domains . . . . . . . . . . . 1796--1822
Mohamed Abdelwahed and
Maatoug Hassine Topological optimization method for a
geometric control problem in Stokes flow 1823--1838
Guillaume Dujardin Exponential Runge--Kutta methods for the
Schrödinger equation . . . . . . . . . . 1839--1857
Martin Weiser Pointwise nonlinear scaling for
reaction--diffusion equations . . . . . 1858--1869
Rajen K. Sinha and
Bhupen Deka Finite element methods for semilinear
elliptic and parabolic interface
problems . . . . . . . . . . . . . . . . 1870--1883
Qun Lin and
Hehu Xie Asymptotic error expansion and
Richardson extrapolation of eigenvalue
approximations for second order elliptic
problems by the mixed finite element
method . . . . . . . . . . . . . . . . . 1884--1893
Lin Zhang and
Jie Ouyang and
Xiao-Hua Zhang On a two-level element-free Galerkin
method for incompressible fluid flow . . 1894--1904
Maria Antonietta Pirozzi High-resolution compact upwind finite
difference methods for linear wave
phenomena . . . . . . . . . . . . . . . 1905--1921
Min Yang and
Huailing Song A postprocessing finite volume element
method for time-dependent Stokes
equations . . . . . . . . . . . . . . . 1922--1932
Zhendong Luo and
Yanjie Zhou and
Xiaozhong Yang A reduced finite element formulation
based on proper orthogonal decomposition
for Burgers' equation . . . . . . . . . 1933--1946
Biyue Liu An error analysis of a finite element
method for a system of nonlinear
advection--diffusion--reaction equations 1947--1959
Haotao Cai A fast solver for a hypersingular
boundary integral equation . . . . . . . 1960--1969
S. Lew and
C. H. Wolters and
T. Dierkes and
C. Röer and
R. S. MacLeod Accuracy and run-time comparison for
different potential approaches and
iterative solvers in finite element
method based EEG source analysis . . . . 1970--1988
Daniele Bertaccini and
Stefano Fanelli Computational and conditioning issues of
a discrete model for cochlear
sensorineural hypoacusia . . . . . . . . 1989--2001
C. Díaz-Mendoza and
P. González-Vera and
M. Jiménez Paiz and
R. Orive On certain symmetric strong
distributions, two-point Padé
approximation and related quadratures 2002--2014
Kerstin Jordaan and
Ferenc Toókos Interlacing theorems for the zeros of
some orthogonal polynomials from
different sequences . . . . . . . . . . 2015--2022
Alfonso Caiazzo and
Jean-Luc Falcone and
Bastien Chopard and
Alfons G. Hoekstra Asymptotic analysis of Complex Automata
models for reaction--diffusion systems 2023--2034
Raimund Bürger and
Rodolfo Rodríguez Preface . . . . . . . . . . . . . . . . 2035--2035
Ana Alonso Rodríguez and
Alberto Valli A FEM--BEM approach for
electro-magnetostatics and time-harmonic
eddy-current problems . . . . . . . . . 2036--2049
Thomas Apel and
Gunter Winkler Optimal control under reduced regularity 2050--2064
Rodolfo Araya and
Gabriel R. Barrenechea and
Leopoldo P. Franca and
Frédéric Valentin Stabilization arising from PGEM: a
review and further developments . . . . 2065--2081
A. Bermúdez and
D. Gómez and
M. C. Muñiz and
P. Salgado and
R. Vázquez Numerical simulation of a
thermo-electromagneto-hydrodynamic
problem in an induction heating furnace 2082--2104
Ana Carolina Carius and
Alexandre L. Madureira Hierarchical modeling of the heat
equation in a heterogeneous plate . . . 2105--2118
Carsten Carstensen Convergence of adaptive finite element
methods in computational mechanics . . . 2119--2130
Simon N. Chandler-Wilde and
Peter Monk The PML for rough surface scattering . . 2131--2154
Sonia Fliss and
Patrick Joly Exact boundary conditions for
time-harmonic wave propagation in
locally perturbed periodic media . . . . 2155--2178
Emmanuil H. Georgoulis and
Edward Hall and
Paul Houston Discontinuous Galerkin methods on $ h
p$-anisotropic meshes II: a posteriori
error analysis and adaptivity . . . . . 2179--2194
Matthias Maischak A multilevel additive Schwarz method for
a hypersingular integral equation on an
open curve with graded meshes . . . . . 2195--2202
R. Montenegro and
J. M. Cascón and
J. M. Escobar and
E. Rodríguez and
G. Montero An automatic strategy for adaptive
tetrahedral mesh generation . . . . . . 2203--2217
Maria-Cecilia Rivara Lepp-bisection algorithms, applications
and mathematical properties . . . . . . 2218--2235
Dominik Schötzau and
Liang Zhu A robust a-posteriori error estimator
for discontinuous Galerkin methods for
convection--diffusion equations . . . . 2236--2255
Carlos D. Acosta and
Carlos E. Mejía Approximate solution of hyperbolic
conservation laws by discrete
mollification . . . . . . . . . . . . . 2256--2265
Mostafa Bendahmane and
Kenneth H. Karlsen Convergence of a finite volume scheme
for the bidomain model of cardiac tissue 2266--2284
Vanilde Bisognin and
Mauricio Sepúlveda and
Octavio Vera On the nonexistence of asymptotically
free solutions for a coupled nonlinear
Schrödinger system . . . . . . . . . . . 2285--2302
Margarete O. Domingues and
Sônia M. Gomes and
Olivier Roussel and
Kai Schneider Space--time adaptive multiresolution
methods for hyperbolic conservation
laws: Applications to compressible Euler
equations . . . . . . . . . . . . . . . 2303--2321
K. H. Karlsen and
S. Mishra and
N. H. Risebro Semi-Godunov schemes for multiphase
flows in porous media . . . . . . . . . 2322--2336
A. J. Kozakevicius and
L. C. C. Santos ENO adaptive method for solving
one-dimensional conservation laws . . . 2337--2355
Roland England and
Susana Gómez and
René Lamour The properties of differential-algebraic
equations representing optimal control
problems . . . . . . . . . . . . . . . . 2357--2373
Youngmok Jeon and
Francisco-Javier Sayas The CBEM--BEM coupling for elliptic
problems . . . . . . . . . . . . . . . . 2374--2387
Yidu Yang and
Qin Li and
Sirui Li Nonconforming finite element
approximations of the Steklov eigenvalue
problem . . . . . . . . . . . . . . . . 2388--2401
I. Georgiev and
J. Kraus and
S. Margenov and
J. Schicho Locally optimized MIC(0) preconditioning
of Rannacher--Turek FEM systems . . . . 2402--2415
Zhensheng Yu and
Ji Lin and
Jing Sun and
Yunhai Xiao and
Liying Liu and
Zhanhui Li Spectral gradient projection method for
monotone nonlinear equations with convex
constraints . . . . . . . . . . . . . . 2416--2423
Kathy Driver and
Kerstin Jordaan and
Norbert Mbuyi Interlacing of zeros of linear
combinations of classical orthogonal
polynomials from different sequences . . 2424--2429
Jan Scheffel and
Cristian Håkansson Solution of systems of nonlinear
equations -- a semi-implicit approach 2430--2443
Tian-jun Wang and
Zhong-qing Wang Error analysis of Legendre spectral
method with essential imposition of
Neumann boundary condition . . . . . . . 2444--2451
Elena M. Fernández-Berdaguer and
Gabriela B. Savioli An inverse problem arising from the
displacement of oil by water in porous
media . . . . . . . . . . . . . . . . . 2452--2466
S. Stavroyiannis and
T. E. Simos Optimization as a function of the
phase-lag order of nonlinear explicit
two-step $P$-stable method for linear
periodic IVPs . . . . . . . . . . . . . 2467--2474
Moon-Sun Chung and
Sung-Jae Lee A modified semi-implicit method for a
hyperbolic two-fluid model . . . . . . . 2475--2488
Zewen Wang and
Jijun Liu New model function methods for
determining regularization parameters in
linear inverse problems . . . . . . . . 2489--2506
J. Martín-Vaquero and
J. Vigo-Aguiar On the numerical solution of the heat
conduction equations subject to nonlocal
conditions . . . . . . . . . . . . . . . 2507--2514
Gunar Matthies Local projection methods on
layer-adapted meshes for higher order
discretisations of convection--diffusion
problems . . . . . . . . . . . . . . . . 2515--2533
John P. Boyd and
Alan M. Sousa An SVD analysis of equispaced polynomial
interpolation . . . . . . . . . . . . . 2534--2547
Olga Drblíková and
Angela Handlovi\vcová and
Karol Mikula Error estimates of the finite volume
scheme for the nonlinear tensor-driven
anisotropic diffusion . . . . . . . . . 2548--2570
Chunhong Wu Numerical solution for Stokes' first
problem for a heated generalized second
grade fluid with fractional derivative 2571--2583
Manisha Patel and
M. G. Timol Numerical treatment of Powell--Eyring
fluid flow using Method of Satisfaction
of Asymptotic Boundary Conditions
(MSABC) . . . . . . . . . . . . . . . . 2584--2592
K. J. in 't Hout and
K. Volders Stability of central finite difference
schemes on non-uniform grids for the
Black--Scholes equation . . . . . . . . 2593--2609
Roland Pulch Polynomial chaos for multirate partial
differential algebraic equations with
random parameters . . . . . . . . . . . 2610--2624
Chu-Li Fu and
Xiao-Li Feng and
Zhi Qian The Fourier regularization for solving
the Cauchy problem for the Helmholtz
equation . . . . . . . . . . . . . . . . 2625--2640
Fuke Wu and
Xuerong Mao and
Kan Chen The Cox--Ingersoll--Ross model with
delay and strong convergence of its
Euler--Maruyama approximate solutions 2641--2658
Sofia Eriksson and
Jan Nordström Analysis of the order of accuracy for
node-centered finite volume schemes . . 2659--2676
Yuan-Ming Wang and
Xiao-Lin Lan Higher-order monotone iterative methods
for finite difference systems of
nonlinear
reaction--diffusion--convection
equations . . . . . . . . . . . . . . . 2677--2693
Carsten Carstensen and
Norbert Heuer and
Matthias Maischak Special Issue: Boundary Elements --
Theory and Applications Dedicated to
Professor Ernst P. Stephan on the
Occasion of his 60th Birthday . . . . . 2695--2697
Alexey Chernov and
Christoph Schwab Sparse $p$-version BEM for first kind
boundary integral equations with random
loading . . . . . . . . . . . . . . . . 2698--2712
C. Erath and
S. Ferraz-Leite and
S. Funken and
D. Praetorius Energy norm based a posteriori error
estimation for boundary element methods
in two dimensions . . . . . . . . . . . 2713--2734
Gabriel N. Gatica and
Antonio Márquez and
Salim Meddahi Analysis of the coupling of BEM, FEM and
mixed-FEM for a two-dimensional
fluid--solid interaction problem . . . . 2735--2750
Amir Geranmayeh and
Wolfgang Ackermann and
Thomas Weiland Temporal discretization choices for
stable boundary element methods in
electromagnetic scattering problems . . 2751--2773
Joachim Gwinner On the $p$-version approximation in the
boundary element method for a
variational inequality of the second
kind modelling unilateral contact and
given friction . . . . . . . . . . . . . 2774--2784
Helmut Harbrecht On the numerical solution of Plateau's
problem . . . . . . . . . . . . . . . . 2785--2800
Youngmok Jeon A multiscale cell boundary element
method for elliptic problems . . . . . . 2801--2813
A. R. Laliena and
M.-L. Rapún and
F.-J. Sayas Symmetric boundary integral formulations
for Helmholtz transmission problems . . 2814--2823
Clemens Pechstein Boundary element tearing and
interconnecting methods in unbounded
domains . . . . . . . . . . . . . . . . 2824--2842
Johannes Tausch Nyström discretization of parabolic
boundary integral equations . . . . . . 2843--2856
T. Tran and
Q. T. Le Gia and
I. H. Sloan and
E. P. Stephan Boundary integral equations on the
sphere with radial basis functions:
error analysis . . . . . . . . . . . . . 2857--2871
Michael D. Marcozzi On the valuation of interest rate
products under multi-factor HJM
term-structures . . . . . . . . . . . . 2873--2890
Petr Knobloch and
Gert Lube Local projection stabilization for
advection--diffusion--reaction problems:
One-level vs. two-level approach . . . . 2891--2907
Jin Huang and
Tao Lü and
Zi Cai Li Mechanical quadrature methods and their
splitting extrapolations for boundary
integral equations of first kind on open
arcs . . . . . . . . . . . . . . . . . . 2908--2922
Zhong-Zhi Bai and
Xi Yang On HSS-based iteration methods for
weakly nonlinear systems . . . . . . . . 2923--2936
Patrick L. Nash and
J. A. C. Weideman High accuracy representation of the free
propagator . . . . . . . . . . . . . . . 2937--2949
Junqing Chen and
Yifeng Xu and
Jun Zou Convergence analysis of an adaptive edge
element method for Maxwell's equations 2950--2969
Luisa Fermo A Nyström method for a class of Fredholm
integral equations of the third kind on
unbounded domains . . . . . . . . . . . 2970--2989
Wei Dan and
Ren-hong Wang A fourth degree integration formula for
the $n$-dimensional simplex . . . . . . 2990--2993
F. A. Dorini and
F. Furtado and
M. C. C. Cunha On the evaluation of moments for solute
transport by random velocity fields . . 2994--2998
Klaus Schittkowski An active set strategy for solving
optimization problems with up to
200,000,000 nonlinear constraints . . . 2999--3007
Qiao-Li Dong and
Li-Qun Cao Multiscale asymptotic expansions and
numerical algorithms for the wave
equations of second order with rapidly
oscillating coefficients . . . . . . . . 3008--3032
Micol Pennacchio and
Valeria Simoncini Algebraic multigrid preconditioners for
the bidomain reaction--diffusion system 3033--3050
Gradimir V. Milovanovi\'c and
Miodrag M. Spalevi\'c and
Miroslav S. Prani\'c Bounds of the error of Gauss--Turán-type
quadratures, II . . . . . . . . . . . . 1--9
Chuanjun Chen and
Wei Liu Two-grid finite volume element methods
for semilinear parabolic problems . . . 10--18
Jingzhi Li and
Jens Markus Melenk and
Barbara Wohlmuth and
Jun Zou Optimal a priori estimates for higher
order finite elements for elliptic
interface problems . . . . . . . . . . . 19--37
N. Kishore Kumar and
G. Naga Raju Least-squares hp . . . . . . . . . . . . 38--54
Eskil Hansen and
Alexander Ostermann Unconditional convergence of DIRK
schemes applied to dissipative evolution
equations . . . . . . . . . . . . . . . 55--63
J. R. Fernández and
P. Hild A posteriori error analysis for the
normal compliance problem . . . . . . . 64--73
Milan Kucharik and
Burton Wendroff Multidimensional first and second order
symmetric Strang splitting for
hyperbolic systems . . . . . . . . . . . 74--82
Elise Nourtier-Mazauric and
Eric Blayo Towards efficient interface conditions
for a Schwarz domain decomposition
algorithm for an advection equation with
biharmonic diffusion . . . . . . . . . . 83--93
D. Christou and
N. Karcanias and
M. Mitrouli The ERES method for computing the
approximate GCD of several polynomials 94--114
D. Lera and
Ya. D. Sergeyev Lipschitz and Hölder global optimization
using space-filling curves . . . . . . . 115--129
Yeon Ju Lee and
Jungho Yoon Non-stationary subdivision schemes for
surface interpolation based on
exponential polynomials . . . . . . . . 130--141
Qingsong Zou Hierarchical error estimates for finite
volume approximation solution of
elliptic equations . . . . . . . . . . . 142--153
Ping Sun and
Zhendong Luo and
Yanjie Zhou Some reduced finite difference schemes
based on a proper orthogonal
decomposition technique for parabolic
equations . . . . . . . . . . . . . . . 154--164
Chong-Jun Li and
Catterina Dagnino An adaptive numerical integration
algorithm for polygons . . . . . . . . . 165--175
Artem Napov and
Yvan Notay Comparison of bounds for $V$-cycle
multigrid . . . . . . . . . . . . . . . 176--192
Zhi-Hao Cao Block triangular Schur complement
preconditioners for saddle point
problems and application to the Oseen
equations . . . . . . . . . . . . . . . 193--207
Suyan He and
Yuxi Jiang and
Shaohua Pan An entropy regularization technique for
minimizing a sum of Tchebycheff norms 208--223
Boris Diskin and
James L. Thomas Notes on accuracy of finite-volume
discretization schemes on irregular
grids . . . . . . . . . . . . . . . . . 224--226
Helmut Harbrecht A finite element method for elliptic
problems with stochastic input data . . 227--244
Davoud Mirzaei and
Mehdi Dehghan A meshless based method for solution of
integral equations . . . . . . . . . . . 245--262
Dimitar K. Dimitrov and
Mirela V. Mello and
Fernando R. Rafaeli Monotonicity of zeros of Jacobi--Sobolev
type orthogonal polynomials . . . . . . 263--276
V. A. Leontyev Direct time integration algorithm with
controllable numerical dissipation for
structural dynamics: Two-step Lambda
method . . . . . . . . . . . . . . . . . 277--292
Georgios Akrivis and
Efstratios Gallopoulos and
Apostolos Hadjidimos and
Ilias S. Kotsireas and
Dimitrios Noutsos and
Michael N. Vrahatis Preface . . . . . . . . . . . . . . . . 293--297
Richard S. Varga and
Amos J. Carpenter Zeros of the partial sums of $ \cos (z)
$ and $ \sin (z) $, III . . . . . . . . 298--313
D. C. Antonopoulos and
V. A. Dougalis and
D. E. Mitsotakis Numerical solution of Boussinesq systems
of the Bona--Smith family . . . . . . . 314--336
Yiorgos-Sokratis Smyrlis and
Andreas Karageorghis The under-determined version of the MFS:
Taking more sources than collocation
points . . . . . . . . . . . . . . . . . 337--357
O. Erhun Kundakcioglu and
Onur Seref and
Panos M. Pardalos Multiple instance learning via margin
maximization . . . . . . . . . . . . . . 358--369
Christos Koukouvinos and
Dimitris E. Simos Improving the lower bounds on
inequivalent Hadamard matrices through
orthogonal designs and meta-programming
techniques . . . . . . . . . . . . . . . 370--377
S. Morigi and
L. Reichel and
F. Sgallari Cascadic multilevel methods for fast
nonsymmetric blur- and noise-removal . . 378--396
George Pashos and
Eleni D. Koronaki and
Antony N. Spyropoulos and
Andreas G. Boudouvis Accelerating an inexact Newton/GMRES
scheme by subspace decomposition . . . . 397--410
M. G. Papadomanolaki and
E. P. Papadopoulou and
Y. G. Saridakis $p$-Cyclic SOR for BVPs with periodic
boundary conditions . . . . . . . . . . 411--419
Daniel Osei-Kuffuor and
Yousef Saad Preconditioning Helmholtz linear systems 420--431
Franck Assous and
Michael Michaeli Hodge decomposition to solve singular
static Maxwell's equations in a
non-convex polygon . . . . . . . . . . . 432--441
Lj. Cvetkovi\'c and
J. M. Peña Minimal sets alternative to minimal
Ger\vsgorin sets . . . . . . . . . . . . 442--451
Sadegh Jokar and
Volker Mehrmann and
Marc E. Pfetsch and
Harry Yserentant Sparse approximate solution of partial
differential equations . . . . . . . . . 452--472
A. Arrarás and
L. Portero and
J. C. Jorge Convergence of fractional step mimetic
finite difference discretizations for
semilinear parabolic problems . . . . . 473--485
Tomá\vs Vejchodský Higher-order discrete maximum principle
for $1$D diffusion--reaction problems 486--500
Marko Lindner The finite section method and stable
subsequences . . . . . . . . . . . . . . 501--512
Yueh-Cheng Kuo and
Wen-Wei Lin and
Shih-Feng Shieh and
Weichung Wang A hyperplane-constrained continuation
method for near singularity in coupled
nonlinear Schrödinger equations . . . . . 513--526
Jan Maes and
Adhemar Bultheel Powell--Sabin spline based multilevel
preconditioners for the biharmonic
equation . . . . . . . . . . . . . . . . 527--530
J. R. Branco and
J. A. Ferreira and
P. da Silva Non-Fickian delay reaction--diffusion
equations: Theoretical and numerical
study . . . . . . . . . . . . . . . . . 531--549
V. Simoncini Extended Krylov subspace for parameter
dependent systems . . . . . . . . . . . 550--560
Roberto Garrappa Order conditions for Volterra
Runge--Kutta methods . . . . . . . . . . 561--573
B. D. Welfert The weights of classical Gauss--Radau
quadratures with double end-point . . . 574--586
Shamsul Qamar and
Sidrah Mudasser On the application of a variant CE/SE
method for solving two-dimensional ideal
MHD equations . . . . . . . . . . . . . 587--606
I. V. Boykov and
E. S. Ventsel and
A. I. Boykova An approximate solution of hypersingular
integral equations . . . . . . . . . . . 607--628
L. L. Hewitt and
A. T. Hill Algebraically stable diagonally implicit
general linear methods . . . . . . . . . 629--636
B. D. Welfert A note on classical Gauss--Radau and
Gauss--Lobatto quadratures . . . . . . . 637--644
Jin Wang and
Anita Layton New numerical methods for Burgers'
equation based on semi-Lagrangian and
modified equation approaches . . . . . . 645--657
John P. Boyd and
Lauren R. Bridge Sensitivity of RBF interpolation on an
otherwise uniform grid with a point
omitted or slightly shifted . . . . . . 659--672
Shipeng Mao and
Xuying Zhao and
Zhongci Shi Convergence of a standard adaptive
nonconforming finite element method with
optimal complexity . . . . . . . . . . . 673--688
P. Dörsek and
J. M. Melenk Adaptive hp . . . . . . . . . . . . . . 689--704
Alexei Bespalov and
Norbert Heuer The hp . . . . . . . . . . . . . . . . . 705--718
Yueqiang Shang and
Yinnian He Parallel iterative finite element
algorithms based on full domain
partition for the stationary
Navier--Stokes equations . . . . . . . . 719--737
Chiau-Yu Huang and
Feng-Nan Hwang Parallel pseudo-transient
Newton--Krylov--Schwarz continuation
algorithms for bifurcation analysis of
incompressible sudden expansion flows 738--751
R. Touma Unstaggered central schemes with
constrained transport treatment for
ideal and shallow water
magnetohydrodynamics . . . . . . . . . . 752--766
Matthias Grajewski and
Michael Köster and
Stefan Turek Numerical analysis and implementational
aspects of a new multilevel grid
deformation method . . . . . . . . . . . 767--781
Yidu Yang and
Hai Bi Lower spectral bounds by Wilson's brick
discretization . . . . . . . . . . . . . 782--787
A. M. A. El-Sayed and
I. L. El-Kalla and
E. A. A. Ziada Analytical and numerical solutions of
multi-term nonlinear fractional orders
differential equations . . . . . . . . . 788--797
Andreas Krebs and
Matthias Maischak and
Ernst P. Stephan Adaptive FEM--BEM coupling with a Schur
complement error indicator . . . . . . . 798--808
Mario Annunziato and
Eleonora Messina Numerical treatment of a Volterra
integral equation with space maps . . . 809--815
Zhiming Gao and
Yichen Ma A new stabilized finite element method
for shape optimization in the steady
Navier--Stokes flow . . . . . . . . . . 816--832
Jianbing Li and
Xuesong Wang and
Tao Wang and
Shunping Xiao An improved Levin quadrature method for
highly oscillatory integrals . . . . . . 833--842
Sungkyu Choi and
Young Pyo Kim and
Jae Ryong Kweon An error analysis for the corner
singularity expansion of a compressible
Stokes system on a non-convex polygon 843--861
Lijian Jiang and
Yalchin Efendiev and
Victor Ginting Analysis of global multiscale finite
element methods for wave equations with
continuum spatial scales . . . . . . . . 862--876
Xiaojie Wang and
Siqing Gan Compensated stochastic theta methods for
stochastic differential equations with
jumps . . . . . . . . . . . . . . . . . 877--887
G. Dupire and
J. P. Boufflet and
M. Dambrineand and
P. Villon On the necessity of Nitsche term . . . . 888--902
Slimane Adjerid and
Mahboub Baccouch Asymptotically exact a posteriori . . . 903--914
Chengjian Zhang and
Hao Chen Block boundary value methods for delay
differential equations . . . . . . . . . 915--923
Mauro Parodi and
Mauro Gaggero and
Marco Storace Piecewise linear approximations of
multivariate functions: a
multiresolution-based compression
algorithm suitable for circuit
implementation . . . . . . . . . . . . . 924--933
J. E. Macías-Díaz and
A. Puri A boundedness-preserving
finite-difference scheme for a damped
nonlinear wave equation . . . . . . . . 934--948
A. J. Roberts Choose inter-element coupling to
preserve self-adjoint dynamics in
multiscale modelling and computation . . 949--973
S. Nintcheu Fata Semi-analytic treatment of
nearly-singular Galerkin surface
integrals . . . . . . . . . . . . . . . 974--993
Daniele Bertaccini and
Fiorella Sgallari Updating preconditioners for nonlinear
deblurring and denoising image
restoration . . . . . . . . . . . . . . 994--1006
V. De Witte and
W. Govaerts Convergence analysis of a numerical
method to solve the adjoint linearized
periodic orbit equations . . . . . . . . 1007--1023
T. F. Chen and
C. L. Cox and
H. C. Lee and
K. L. Tung Least-squares finite element methods for
generalized Newtonian and viscoelastic
flows . . . . . . . . . . . . . . . . . 1024--1040
E. X. L. de Andrade and
M. S. Costa and
A. Sri Ranga $L$-orthogonal polynomials associated
with related measures . . . . . . . . . 1041--1052
Anonymous Preface . . . . . . . . . . . . . . . . 1053--1053
Sarah Delcourte and
Delphine Jennequin Saddle point preconditioners for
linearized Navier--Stokes equations
discretized by a finite volume method 1054--1066
L. Amodei and
J.-M. Buchot An invariant subspace method for
large-scale algebraic Riccati equation 1067--1082
Menno Genseberger Improving the parallel performance of a
domain decomposition preconditioning
technique in the Jacobi--Davidson method
for large scale eigenvalue problems . . 1083--1099
Gerard L. G. Sleijpen and
Peter Sonneveld and
Martin B. van Gijzen Bi-CGSTAB as an induced dimension
reduction method . . . . . . . . . . . . 1100--1114
Clovis Tauber and
Pierre Spiteri and
Hadj Batatia Iterative methods for anisotropic
diffusion of speckled medical images . . 1115--1130
Isabelle Boursier and
Damien Tromeur-Dervout and
Yuri Vassilevski Parallel solution of Mixed Finite
Element/Spectral Element systems for
convection--diffusion equations on
non-matching grids . . . . . . . . . . . 1131--1147
Pascal Poullet and
Amir Boag Equation-based interpolation and
incremental unknowns for solving the
Helmholtz equation . . . . . . . . . . . 1148--1156
P. B. Hooghiemstra and
D. R. van der Heul and
C. Vuik Application of the shifted-Laplace
preconditioner for iterative solution of
a higher order finite element
discretisation of the vector wave
equation: First experiences . . . . . . 1157--1170
M. Heyouni Extended Arnoldi methods for large
low-rank Sylvester matrix equations . . 1171--1182
Claude Brezinski and
Michela Redivo-Zaglia and
Ernst Joachim Weniger Preface . . . . . . . . . . . . . . . . 1183--1183
Ernst Joachim Weniger An introduction to the topics presented
at the conference ``Approximation and
extrapolation of convergent and
divergent sequences and series'' CIRM
Luminy: September 28, 2009--October 2,
2009 . . . . . . . . . . . . . . . . . . 1184--1187
Hassane Allouche and
Annie Cuyt Reliable root detection with the $ q
d$-algorithm: When Bernoulli, Hadamard
and Rutishauser cooperate . . . . . . . 1188--1208
C. Brezinski From numerical quadrature to Padé
approximation . . . . . . . . . . . . . 1209--1220
Claude Brezinski and
Yi He and
Xing-Biao Hu and
Jian-Qing Sun A generalization of the
$G$-transformation and the related
algorithms . . . . . . . . . . . . . . . 1221--1230
C. Brezinski and
M. Redivo-Zaglia Extensions of Drummond's process for
convergence acceleration . . . . . . . . 1231--1241
Riccardo Borghi Asymptotic and factorial expansions of
Euler series truncation errors via
exponential polynomials . . . . . . . . 1242--1250
Adhemar Bultheel and
Pablo González-Vera and
Erik Hendriksen and
Olav Njåstad Computation of rational Szeg\Ho--Lobatto
quadrature formulas . . . . . . . . . . 1251--1263
Irinel Caprini and
Jan Fischer and
Ivo Vrko\vc On the ambiguity of functions
represented by divergent power series 1264--1272
Oscar Cat\`a Padé approximants and the prediction of
non-perturbative parameters in particle
physics . . . . . . . . . . . . . . . . 1273--1285
Karl Deckers and
Adhemar Bultheel and
Ruymán Cruz-Barroso and
Francisco Perdomo-Pío Positive rational interpolatory
quadrature formulas on the unit circle
and the interval . . . . . . . . . . . . 1286--1299
André Draux and
Mohamed Sadik $ q d $ block algorithm . . . . . . . . 1300--1308
F. Fauvet and
J.-P. Ramis and
F. Richard-Jung and
J. Thomann Stokes phenomenon for the prolate
spheroidal wave equation . . . . . . . . 1309--1319
Jacek Gilewicz 100 years of improvements of bounding
properties of Padé approximants to the
Stieltjes functions: One-point,
two-point and $N$-point Padé approximants 1320--1331
Ulrich D. Jentschura and
Jean Zinn-Justin Calculation of the characteristic
functions of anharmonic oscillators . . 1332--1341
D. W. Lee Classical multiple orthogonal
polynomials of Angelesco system . . . . 1342--1351
Elie Leopold Asymptotic behaviours and general
recurrence relations . . . . . . . . . . 1352--1363
Lisa Lorentzen Padé approximation and continued
fractions . . . . . . . . . . . . . . . 1364--1370
Ignacio Porras and
Francisco Cordobés-Aguilar Study of a generalized Levin--Weniger
convergence accelerator of numerical
series: Particular cases and
applications to multi-electron integrals
in atomic physics . . . . . . . . . . . 1371--1381
Marc Prévost Recurrence for values of the zeta
function . . . . . . . . . . . . . . . . 1382--1394
Avram Sidi Survey of numerical stability issues in
convergence acceleration . . . . . . . . 1395--1410
Richard M. Slevinsky and
Hassan Safouhi A recursive algorithm for the $G$
transformation and accurate computation
of incomplete Bessel functions . . . . . 1411--1417
I. M. Suslov Strong coupling asymptotics of the $
\beta $-function in $ \phi^4$ theory and
QED . . . . . . . . . . . . . . . . . . 1418--1428
Ernst Joachim Weniger Summation of divergent power series by
means of factorial series . . . . . . . 1429--1441
Pawe\l Wo\'zny Efficient algorithm for summation of
some slowly convergent series . . . . . 1442--1453
Jean Zinn-Justin Summation of divergent series:
Order-dependent mapping . . . . . . . . 1454--1464
Fatemeh Shakeri and
Mehdi Dehghan A finite volume spectral element method
for solving magnetohydrodynamic (MHD)
equations . . . . . . . . . . . . . . . 1--23
Meilin Liu and
Zhen Gao and
Jan S. Hesthaven Adaptive sparse grid algorithms with
applications to electromagnetic
scattering under uncertainty . . . . . . 24--37
Yuan-Ming Wang On Numerov's method for a class of
strongly nonlinear two-point boundary
value problems . . . . . . . . . . . . . 38--52
Chamakuri Nagaiah and
Karl Kunisch Higher order optimization and adaptive
numerical solution for optimal control
of monodomain equations in cardiac
electrophysiology . . . . . . . . . . . 53--65
Michele Benzi and
Xue-Ping Guo A dimensional split preconditioner for
Stokes and linearized Navier--Stokes
equations . . . . . . . . . . . . . . . 66--76
Jae-Hun Jung and
Sigal Gottlieb and
Saeja Oh Kim Iterative adaptive RBF methods for
detection of edges in two-dimensional
functions . . . . . . . . . . . . . . . 77--91
F. Bozorgnia Numerical solutions of a two-phase
membrane problem . . . . . . . . . . . . 92--107
Stephen A. Jordan Optimization, resolution and application
of composite compact finite difference
templates . . . . . . . . . . . . . . . 108--130
M. Hadizadeh and
F. Ghoreishi and
S. Pishbin Jacobi spectral solution for integral
algebraic equations of index-$2$ . . . . 131--148
A. Bouhamidi and
K. Jbilou Stein implicit Runge--Kutta methods with
high stage order for large-scale
ordinary differential equations . . . . 149--159
F. Costabile and
A. Napoli Economical Runge--Kutta methods with
strong global order one for stochastic
differential equations . . . . . . . . . 160--169
S. Abbasbandy and
A. Shirzadi MLPG method for two-dimensional
diffusion equation with Neumann's and
non-classical boundary conditions . . . 170--180
Chunguang Xiong and
Yuan Li A posteriori error estimates for optimal
distributed control governed by the
evolution equations . . . . . . . . . . 181--200
S. Barbeiro and
J. A. Ferreira and
L. Pinto H . . . . . . . . . . . . . . . . . . . 201--215
M. Li and
L.-Z. Liao and
X. M. Yuan Some Goldstein's type methods for
co-coercive variant variational
inequalities . . . . . . . . . . . . . . 216--228
Zhencheng Fan Waveform relaxation method for
stochastic differential equations with
constant delay . . . . . . . . . . . . . 229--240
Peter A. Forsyth A Hamilton--Jacobi--Bellman approach to
optimal trade execution . . . . . . . . 241--265
Fabien Ternat and
Oscar Orellana and
Prabir Daripa Two stable methods with numerical
experiments for solving the backward
heat equation . . . . . . . . . . . . . 266--284
Yuan Li and
Rong An Two-level pressure projection finite
element methods for Navier--Stokes
equations with nonlinear slip boundary
conditions . . . . . . . . . . . . . . . 285--297
Mohamed M. Sulman and
J. F. Williams and
Robert D. Russell An efficient approach for the numerical
solution of the Monge--Amp\`ere equation 298--307
Huajun Zhu and
Yaming Chen and
Songhe Song and
Huayu Hu Symplectic and multi-symplectic wavelet
collocation methods for two-dimensional
Schrödinger equations . . . . . . . . . . 308--321
Elie Chahine and
Patrick Laborde and
Yves Renard A non-conformal eXtended Finite Element
approach: Integral matching Xfem . . . . 322--343
Qingsong Zou Efficient and reliable hierarchical
error estimates for an elliptic obstacle
problem . . . . . . . . . . . . . . . . 344--355
W. P. Shen and
C. Li and
X. Q. Jin A Ulm-like method for inverse eigenvalue
problems . . . . . . . . . . . . . . . . 356--367
Liping Wen and
Yuexin Yu and
Shoufu Li Dissipativity of Runge--Kutta methods
for Volterra functional differential
equations . . . . . . . . . . . . . . . 368--381
Michael Matthes and
Caren Tischendorf Convergence analysis of a partial
differential algebraic system from
coupling a semiconductor model to a
circuit model . . . . . . . . . . . . . 382--394
M. Calvo and
J. I. Montijano and
L. Rández and
M. Van Daele On the derivation of explicit two-step
peer methods . . . . . . . . . . . . . . 395--409
A. M. Alekseenko Numerical properties of high order
discrete velocity solutions to the BGK
kinetic equation . . . . . . . . . . . . 410--427
Rolf Krause and
Christina Mohr Level set based multi-scale methods for
large deformation contact problems . . . 428--442
John P. Boyd and
Kenneth W. Gildersleeve Numerical experiments on the condition
number of the interpolation matrices for
radial basis functions . . . . . . . . . 443--459
John P. Boyd and
Jun Rong Ong Exponentially-convergent strategies for
defeating the Runge Phenomenon for the
approximation of non-periodic functions,
part two: Multi-interval polynomial
schemes and multidomain Chebyshev
interpolation . . . . . . . . . . . . . 460--472
T. Lähivaara and
T. Huttunen A non-uniform basis order for the
discontinuous Galerkin method of the
acoustic and elastic wave equations . . 473--486
Truong Nguyen-Ba and
Huong Nguyen-Thu and
Thierry Giordano and
Rémi Vaillancourt Strong-stability-preserving $3$-stage
Hermite--Birkhoff time-discretization
methods . . . . . . . . . . . . . . . . 487--500
Kristian Debrabant and
Anne Kværnò Composition of stochastic B-series with
applications to implicit Taylor methods 501--511
Eduardo M. Garau and
Pedro Morin and
Carlos Zuppa Convergence of an adaptive Ka\vcanov FEM
for quasi-linear problems . . . . . . . 512--529
Jürgen Fuhrmann and
Alexander Linke and
Hartmut Langmach A numerical method for mass conservative
coupling between fluid flow and solute
transport . . . . . . . . . . . . . . . 530--553
Jun Zhu and
Jianxian Qiu and
Tiegang Liu and
Boo Cheong Khoo RKDG methods with WENO type limiters and
conservative interfacial procedure for
one-dimensional compressible
multi-medium flow simulations . . . . . 554--580
Samir Kumar Bhowmik Numerical approximation of a convolution
model of [$ \dot {\theta }$]-neuron
networks . . . . . . . . . . . . . . . . 581--592
Zhen Gao and
Shusen Xie Fourth-order alternating direction
implicit compact finite difference
schemes for two-dimensional Schrödinger
equations . . . . . . . . . . . . . . . 593--614
Hongtao Chen and
Shanghui Jia and
Hehu Xie Postprocessing and higher order
convergence for the mixed finite element
approximations of the eigenvalue problem 615--629
J. E. Macías-Díaz and
J. Ruiz-Ramírez A non-standard symmetry-preserving
method to compute bounded solutions of a
generalized Newell--Whitehead--Segel
equation . . . . . . . . . . . . . . . . 630--640
Kenji Kashima and
Reiichiro Kawai An optimization approach to weak
approximation of stochastic differential
equations with jumps . . . . . . . . . . 641--650
H. M. Felix and
A. Sri Ranga and
D. O. Veronese Kernel polynomials from $L$-orthogonal
polynomials . . . . . . . . . . . . . . 651--665
Ming Zhang and
Xue-Zhang Liang On a Hermite interpolation on the sphere 666--674
Michael Holst and
Jeffrey S. Ovall and
Ryan Szypowski An efficient, reliable and robust error
estimator for elliptic problems in $
\mathbb {R}^3 $ . . . . . . . . . . . . 675--695
Wenqiang Wang and
Yanping Chen Mean-square stability of semi-implicit
Euler method for nonlinear neutral
stochastic delay differential equations 696--701
Mai Duc Thanh and
Dietmar Kröner and
Nguyen Thanh Nam Numerical approximation for a
Baer--Nunziato model of two-phase flows 702--721
Sebastian Franz and
Gunar Matthies Convergence on layer-adapted meshes and
anisotropic interpolation error
estimates of non-standard higher order
finite elements . . . . . . . . . . . . 723--737
Arvet Pedas and
Enn Tamme A discrete collocation method for
Fredholm integro-differential equations
with weakly singular kernels . . . . . . 738--751
Shengfeng Zhu and
Qingbiao Wu and
Chunxiao Liu Shape and topology optimization for
elliptic boundary value problems using a
piecewise constant level set method . . 752--767
Daniel Baffet and
Dan Givoli On the stability of the high-order
Higdon Absorbing Boundary Conditions . . 768--784
Paul Deuring and
Marcus Mildner Error estimates for a finite
element--finite volume discretization of
convection--diffusion equations . . . . 785--801
Ali M. Sahlodin and
Beno\^\it Chachuat Discretize-then-relax approach for
convex/concave relaxations of the
solutions of parametric ODEs . . . . . . 803--820
Santtu Salmi and
Jari Toivanen An iterative method for pricing American
options under jump-diffusion models . . 821--831
Fasma Diele and
Carmela Marangi Explicit symplectic partitioned
Runge--Kutta--Nyström methods for
non-autonomous dynamics . . . . . . . . 832--843
Jiming Wu and
Zhiming Gao A nine-point scheme with explicit
weights for diffusion equations on
distorted meshes . . . . . . . . . . . . 844--867
Iván Area and
Dimitar K. Dimitrov and
Eduardo Godoy Convolutions and zeros of orthogonal
polynomials . . . . . . . . . . . . . . 868--878
Rick Archibald and
George Fann and
William Shelton Adaptive discontinuous Galerkin methods
in multiwavelets bases . . . . . . . . . 879--890
Kamyar Malakuti and
Evgueni Parilov A split-step finite difference method
for nonparaxial nonlinear Schrödinger
equation at critical dimension . . . . . 891--899
Yigui Ou A hybrid trust region algorithm for
unconstrained optimization . . . . . . . 900--909
Byeong-Chun Shin and
Jae-Hun Jung Spectral collocation and radial basis
function methods for one-dimensional
interface problems . . . . . . . . . . . 911--928
Annie Cuyt and
Brahim Benouahmane and
Hamsapriye and
Irem Yaman Symbolic--numeric Gaussian cubature
rules . . . . . . . . . . . . . . . . . 929--945
Lijuan Su and
Wenqia Wang and
Hong Wang A characteristic difference method for
the transient fractional
convection--diffusion equations . . . . 946--960
Anders C. Hansen and
John Strain On the order of deferred correction . . 961--973
Huajun Zhu and
Yaming Chen and
Songhe Song and
Huayu Hu Erratum to ``Symplectic and
multi-symplectic wavelet collocation
methods for two-dimensional Schrödinger
equations'' [Applied Numerical
Mathematics \bf 61 (3) (2011) 308--321] 974--976
Anonymous Editorial Board . . . . . . . . . . . . ??
Kui Du GMRES with adaptively deflated
restarting and its performance on an
electromagnetic cavity problem . . . . . 977--988
Jean-Paul Berrut and
Michael S. Floater and
Georges Klein Convergence rates of derivatives of a
family of barycentric rational
interpolants . . . . . . . . . . . . . . 989--1000
Masoud Darbandi and
Nematollah Fouladi A reduced domain strategy for local mesh
movement application in unstructured
grids . . . . . . . . . . . . . . . . . 1001--1016
George C. Hsiao and
Liwei Xu A system of boundary integral equations
for the transmission problem in
acoustics . . . . . . . . . . . . . . . 1017--1029
Anonymous Editorial Board . . . . . . . . . . . . ??
Andreas Schröder and
Sebastian Wiedemann Error estimates in elastoplasticity
using a mixed method . . . . . . . . . . 1031--1045
A. Abdi and
G. Hojjati Maximal order for second derivative
general linear methods with Runge--Kutta
stability . . . . . . . . . . . . . . . 1046--1058
Paolo Zunino and
Laura Cattaneo and
Claudia Maria Colciago An unfitted interface penalty method for
the numerical approximation of contrast
problems . . . . . . . . . . . . . . . . 1059--1076
M. P. Calvo and
Ph. Chartier and
A. Murua and
J. M. Sanz-Serna Numerical stroboscopic averaging for
ODEs and DAEs . . . . . . . . . . . . . 1077--1095
Stefan Engblom On well-separated sets and fast
multipole methods . . . . . . . . . . . 1096--1102
Hui Liang and
M. H. Song and
M. Z. Liu Stability of the analytic and numerical
solutions for impulsive differential
equations . . . . . . . . . . . . . . . 1103--1113
Daniel Bouche and
Jean-Michel Ghidaglia and
Frédéric P. Pascal An optimal error estimate for upwind
Finite Volume methods for nonlinear
hyperbolic conservation laws . . . . . . 1114--1131
M. Bürg and
W. Dörfler Convergence of an adaptive hp finite
element strategy in higher
space-dimensions . . . . . . . . . . . . 1132--1146
Hao Jiang and
Roberto Barrio and
Xiangke Liao and
Lizhi Cheng Accurate evaluation algorithm for
bivariate polynomial in Bernstein--Bézier
form . . . . . . . . . . . . . . . . . . 1147--1160
R. C. Cabrales and
F. Guillén-González and
J. V. Gutiérrez-Santacreu Stability and convergence for a complete
model of mass diffusion . . . . . . . . 1161--1185
John R. Dea Improving the performance of Higdon
non-reflecting boundary conditions by
using weighted differencing . . . . . . 1186--1197
V. J. Ervin and
E. W. Jenkins and
S. Sun Coupling nonlinear Stokes and Darcy flow
using mortar finite elements . . . . . . 1198--1222
Anonymous Editorial Board . . . . . . . . . . . . i--i
Kassem Mustapha The $ h p$- and $h$-versions of the
discontinuous and local discontinuous
Galerkin methods for one-dimensional
singularly perturbed models . . . . . . 1223--1236
Xiaolin Li Meshless Galerkin algorithms for
boundary integral equations with moving
least square approximations . . . . . . 1237--1256
Andreas Bartel and
Sascha Baumanns and
Sebastian Schöps Structural analysis of electrical
circuits including magnetoquasistatic
devices . . . . . . . . . . . . . . . . 1257--1270
Jaya P. N. Bishwal Stochastic moment problem and hedging of
generalized Black--Scholes options . . . 1271--1280
Ibrahim Karatay and
Serife R. Bayramoglu and
Ali Sahin Implicit difference approximation for
the time fractional heat equation with
the nonlocal condition . . . . . . . . . 1281--1288
Hongjiong Tian and
Quanhong Yu and
Cilai Jin Continuous block implicit hybrid
one-step methods for ordinary and delay
differential equations . . . . . . . . . 1289--1300
André Draux and
Mohamed Sadik and
Borhane Moalla Markov--Bernstein inequalities for
generalized Gegenbauer weight . . . . . 1301--1321
Zhenyu Zhao and
Junfeng Liu Hermite spectral and pseudospectral
methods for numerical differentiation 1322--1330
Anonymous Editorial Board . . . . . . . . . . . . ??
Yi-Xin Dou and
Bo Han Total variation regularization for the
reconstruction of a mountain topography 1--20
Maryam Saadvandi and
Karl Meerbergen and
Elias Jarlebring On dominant poles and model reduction of
second order time-delay systems . . . . 21--34
T. Stykel and
V. Simoncini Krylov subspace methods for projected
Lyapunov equations . . . . . . . . . . . 35--50
Qingtang Jiang Correspondence between frame shrinkage
and high-order nonlinear diffusion . . . 51--66
Yuji Nakatsukasa Eigenvalue perturbation bounds for
Hermitian block tridiagonal matrices . . 67--78
Anonymous Editorial Board . . . . . . . . . . . . ??
Ting-Ting Wu and
Yu-Fei Yang and
Zhi-Feng Pang A modified fixed-point iterative
algorithm for image restoration using
fourth-order PDE model . . . . . . . . . 79--90
B. Zhang and
L. A. Grzelak and
C. W. Oosterlee Efficient pricing of commodity options
with early-exercise under the
Ornstein--Uhlenbeck process . . . . . . 91--111
W. Layton and
C. Trenchea Stability of two IMEX methods, CNLF and
BDF2--AB2, for uncoupling systems of
evolution equations . . . . . . . . . . 112--120
Stefano Giani and
Luka Grubisi\'c and
Jeffrey S. Ovall Benchmark results for testing adaptive
finite element eigenvalue procedures . . 121--140
Hao Chen and
Chengjian Zhang Convergence and stability of extended
block boundary value methods for
Volterra delay integro-differential
equations . . . . . . . . . . . . . . . 141--154
Anonymous Editorial Board . . . . . . . . . . . . ??
Hans Munthe-Kaas and
Tor Sòrevik Multidimensional pseudo-spectral methods
on lattice grids . . . . . . . . . . . . 155--165
M. Köster and
A. Ouazzi and
F. Schieweck and
S. Turek and
P. Zajac New robust nonconforming finite elements
of higher order . . . . . . . . . . . . 166--184
Fenlin Yang and
Ke Chen and
Bo Yu Homotopy method for a mean
curvature-based denoising model . . . . 185--200
Guangqing Long and
Gnaneshwar Nelakanti and
Xiaohua Zhang Iterated fast multiscale Galerkin
methods for Fredholm integral equations
of second kind with weakly singular
kernels . . . . . . . . . . . . . . . . 201--211
Xiaojing Zhu and
Dingguo Pu A line search filter algorithm with
inexact step computations for equality
constrained optimization . . . . . . . . 212--223
Anonymous Editorial Board . . . . . . . . . . . . ??
Raimund Bürger and
Gabriel N. Gatica and
Norbert Heuer and
Rodolfo Rodríguez Preface: Special Issue: Third Chilean
Workshop on Numerical Analysis of
Partial Differential Equations
(WONAPDE), 11--15 January 2010,
Universidad de Concepción, Chile . . . . 225--225
M. Aurada and
S. Ferraz-Leite and
P. Goldenits and
M. Karkulik and
M. Mayr and
D. Praetorius Convergence of adaptive BEM for some
mixed boundary value problem . . . . . . 226--245
Santiago Badia and
Ramon Codina Stokes, Maxwell and Darcy: a single
finite element approximation for three
model problems . . . . . . . . . . . . . 246--263
A. Baeza and
R. Donat and
A. Martinez-Gavara A numerical treatment of wet/dry zones
in well-balanced hybrid schemes for
shallow water flow . . . . . . . . . . . 264--277
Antonio Baeza and
Anna Martínez-Gavara and
Pep Mulet Adaptation based on interpolation errors
for high order mesh refinement methods
applied to conservation laws . . . . . . 278--296
M. I. Berenguer and
M. V. Fernández Muñoz and
A. I. Garralda-Guillem and
M. Ruiz Galán A sequential approach for solving the
Fredholm integro-differential equation 297--304
Alfredo Bermúdez and
Luz M. García-García Mathematical modeling in chemistry.
Application to water quality problems 305--327
Erik Burman and
Peter Hansbo Fictitious domain finite element methods
using cut elements: II. A stabilized
Nitsche method . . . . . . . . . . . . . 328--341
Tomás Chacón Rebollo and
Macarena Gómez Mármol and
Isabel Sánchez Muñoz Numerical solution of the Primitive
Equations of the ocean by the Orthogonal
Sub-Scales VMS method . . . . . . . . . 342--359
Alexey Chernov Sparse polynomial approximation in
positive order Sobolev spaces with
bounded mixed derivatives and
applications to elliptic problems with
random loading . . . . . . . . . . . . . 360--377
Carlo D'Angelo and
Paolo Zunino Numerical approximation with Nitsche's
coupling of transient Stokes'/Darcy's
flow problems applied to hemodynamics 378--395
Leszek Demkowicz and
Jay Gopalakrishnan and
Antti H. Niemi A class of discontinuous
Petrov--Galerkin methods. Part III:
Adaptivity . . . . . . . . . . . . . . . 396--427
Helmut Harbrecht and
Michael Peters and
Reinhold Schneider On the low-rank approximation by the
pivoted Cholesky decomposition . . . . . 428--440
I. Kröker and
C. Rohde Finite volume schemes for hyperbolic
balance laws with multiplicative noise 441--456
M. Maischak and
S. Oestmann and
E. P. Stephan A least-squares fem--bem coupling method
for linear elasticity . . . . . . . . . 457--472
Maria-Cecilia Rivara and
Pedro Rodriguez and
Rafael Montenegro and
Gaston Jorquera Multithread parallelization of
Lepp-bisection algorithms . . . . . . . 473--488
M. Elena Vázquez-Cendón and
Luis Cea Analysis of a new Kolgan-type scheme
motivated by the shallow water equations 489--506
Anonymous Editorial Board . . . . . . . . . . . . ??
P. Sablonni\`ere and
D. Sbibih and
M. Tahrichi High-order quadrature rules based on
spline quasi-interpolants and
application to integral equations . . . 507--520
J. P. Boufflet and
M. Dambrine and
G. Dupire and
P. Villon On the necessity of Nitsche term. Part
II: an alternative approach . . . . . . 521--535
Wenbin Li and
Sven Simon and
Steffen Kieß On the estimation of numerical error
bounds in linear algebra based on
discrete stochastic arithmetic . . . . . 536--555
A. Abdi and
J. C. Butcher Applications of order arrows . . . . . . 556--566
Sandeep Dixit and
Om P. Singh and
Sunil Kumar A stable numerical inversion of
generalized Abel's integral equation . . 567--579
E. A. Dari and
R. G. Durán and
C. Padra A posteriori error estimates for
non-conforming approximation of
eigenvalue problems . . . . . . . . . . 580--591
Stephen L. Campbell and
Peter Kunkel and
Karen Bobinyec A minimal norm corrected underdetermined
Gauß--Newton procedure . . . . . . . . . 592--605
Leo Nesemann and
Ernst P. Stephan Numerical solution of an adhesion
problem with FEM and BEM . . . . . . . . 606--619
Hendrik Speleers Interpolation with quintic Powell--Sabin
splines . . . . . . . . . . . . . . . . 620--635
Ruyun Chen Numerical approximations to integrals
with a highly oscillatory Bessel kernel 636--648
Sarfraz Ahmed and
Christopher E. Goodyer and
Peter K. Jimack An efficient preconditioned iterative
solution of fully-coupled
elastohydrodynamic lubrication problems 649--663
Anonymous Editorial Board . . . . . . . . . . . . ??
Gabriel N. Gatica and
L. Pamela Cook and
Kirk E. Jordan and
Nilima Nigam and
Olaf Steinbach and
Liwei Xu Preface . . . . . . . . . . . . . . . . 665--666
Constantin Bacuta and
Peter Monk Multilevel discretization of symmetric
saddle point systems without the
discrete LBB condition . . . . . . . . . 667--681
Yang G. Liu and
Weng Cho Chew and
Lijun Jiang and
Zhiguo Qian A memory saving fast A-EFIE solver for
modeling low-frequency large-scale
problems . . . . . . . . . . . . . . . . 682--698
Hai-Hua Qin and
David Colton The inverse scattering problem for
cavities . . . . . . . . . . . . . . . . 699--708
E. Darrigrand and
P. Monk Combining the Ultra-Weak Variational
Formulation and the multilevel fast
multipole method . . . . . . . . . . . . 709--719
S. Nintcheu Fata Treatment of domain integrals in
boundary element methods . . . . . . . . 720--735
Matthias Gläfke and
Matthias Maischak and
Ernst P. Stephan Coupling of FEM and BEM for a
transmission problem with nonlinear
interface conditions. Hierarchical and
residual error indicators . . . . . . . 736--753
Hengguang Li A note on the conditioning of a class of
generalized finite element methods . . . 754--766
S. Gemmrich and
J. Gopalakrishnan and
N. Nigam Convergence analysis of a multigrid
algorithm for the acoustic single layer
equation . . . . . . . . . . . . . . . . 767--786
Markus Aurada and
Samuel Ferraz-Leite and
Dirk Praetorius Estimator reduction and convergence of
adaptive BEM . . . . . . . . . . . . . . 787--801
Jianguo Huang and
Shangyou Zhang A divergence-free finite element method
for a type of $3$D Maxwell equations . . 802--813
Anonymous Editorial Board . . . . . . . . . . . . ??
Marie-Noelle Le Roux Numerical solution of a parabolic
problem arising in finance . . . . . . . 815--832
S. Amat and
M. A. Hernández and
N. Romero Semilocal convergence of a sixth order
iterative method for quadratic equations 833--841
Evelyn Buckwar and
Thorsten Sickenberger A structural analysis of asymptotic
mean-square stability for
multi-dimensional linear stochastic
differential systems . . . . . . . . . . 842--859
Haibing Wang and
Gen Nakamura The integral equation method for
electromagnetic scattering problem at
oblique incidence . . . . . . . . . . . 860--873
Anonymous Editorial Board . . . . . . . . . . . . ??
S. Blanes and
E. Ponsoda Time-averaging and exponential
integrators for non-homogeneous linear
IVPs and BVPs . . . . . . . . . . . . . 875--894
V. S. Borisov and
M. Mond On stability of difference schemes.
Central schemes for hyperbolic
conservation laws with source terms . . 895--921
M. Bürg A residual-based a posteriori error
estimator for the $ h p$-finite element
method for Maxwell's equations . . . . . 922--940
R. Touma and
G. Jannoun Non-oscillatory central schemes on
unstructured grids for two-dimensional
hyperbolic conservation laws . . . . . . 941--955
Xu-hong Yu and
Zhong-qing Wang Jacobi spectral method with essential
imposition of Neumann boundary condition 956--974
Francesc Ar\`andiga and
Pep Mulet and
Vicent Renau Non-separable two-dimensional weighted
ENO interpolation . . . . . . . . . . . 975--987
Pengzhan Huang and
Xinlong Feng and
Demin Liu Two-level stabilized method based on
three corrections for the stationary
Navier--Stokes equations . . . . . . . . 988--1001
G. Izzo and
E. Russo and
C. Chiapparelli Highly stable Runge--Kutta methods for
Volterra integral equations . . . . . . 1002--1013
Marcos Rodríguez and
Roberto Barrio Reducing rounding errors and achieving
Brouwer's law with Taylor Series Method 1014--1024
Anonymous Editorial Board . . . . . . . . . . . . ??
Abderrahman Bouhamidi and
Khalide Jbilou and
Hassane Sadok Numerical Analysis and Scientific
Computation with Applications (NASCA) 1025--1025
Mohamad Muhieddine and
Édouard Canot and
Ramiro March Heat transfer modeling in saturated
porous media and identification of the
thermophysical properties of the soil by
inverse problem . . . . . . . . . . . . 1026--1040
A. Kouibia and
M. Pasadas and
M. L. Rodríguez A variational method for solving
Fredholm integral systems . . . . . . . 1041--1049
M. A. Fortes and
P. González and
M. Pasadas and
M. L. Rodríguez Hole filling on surfaces by discrete
variational splines . . . . . . . . . . 1050--1060
Hassane Allouche and
Ebby Mint El Agheb and
Noura Ghanou Adapted multivariate Padé approximation 1061--1076
V. Baramidze Minimal energy spherical splines on
Clough--Tocher triangulations for
Hermite interpolation . . . . . . . . . 1077--1088
M. Addam and
A. Bouhamidi and
K. Jbilou Signal reconstruction for the diffusion
transport equation using tensorial
spline Galerkin approximation . . . . . 1089--1108
A. Kouibia and
M. Pasadas and
M. L. Rodríguez Numerical approximation by discrete
interpolating variational splines . . . 1109--1118
Riccardo Giachetti Spectral properties of the Dirac
equation in unbounded vector potentials 1119--1125
S. Agoujil and
A. H. Bentbib and
A. Kanber A structure preserving approximation
method for Hamiltonian exponential
matrices . . . . . . . . . . . . . . . . 1126--1138
Khalid El Yassini and
Safae El Haj Ben Ali An interior-exterior approach for convex
quadratic programming . . . . . . . . . 1139--1155
M. Razzaq and
H. Damanik and
J. Hron and
A. Ouazzi and
S. Turek FEM multigrid techniques for
fluid-structure interaction with
application to hemodynamics . . . . . . 1156--1170
Bernard Philippe and
Lothar Reichel On the generation of Krylov subspace
bases . . . . . . . . . . . . . . . . . 1171--1186
Roger E. Khayat and
Michael A. N. Hanyk and
Moinuddin Ahmed A spectral approach to thin jet flow . . 1187--1196
Mofdi El-Amrani and
Mohammed Sea\"\id A conjugate gradient algorithm for
solving the Galerkin-characteristic
approximation of interfacial flows . . . 1197--1214
Lothar Reichel and
Fiorella Sgallari and
Qiang Ye Tikhonov regularization based on
generalized Krylov subspace methods . . 1215--1228
J. Lampe and
H. Voss Efficient determination of the
hyperparameter in regularized total
least squares problems . . . . . . . . . 1229--1241
Qifeng Liao and
David Silvester A simple yet effective a posteriori
estimator for classical mixed
approximation of Stokes equations . . . 1242--1256
Anonymous Editorial Board . . . . . . . . . . . . ??
Jan Verwer and
Willem Hundsdorfer and
Martin Arnold and
Rüdiger Weiner Preface . . . . . . . . . . . . . . . . 1257--1258
Vincent Acary Higher order event capturing
time-stepping schemes for nonsmooth
multibody systems with unilateral
constraints and impacts . . . . . . . . 1259--1275
Uri M. Ascher Surprising computations . . . . . . . . 1276--1288
Markus Brunk and
Anne Kværnò Positivity preserving discretization of
time dependent semiconductor
drift-diffusion equations . . . . . . . 1289--1301
E. V. Chistyakova Regularizing properties of difference
schemes for singular
integral-differential equations . . . . 1302--1311
Dajana Conte and
Raffaele D'Ambrosio and
Beatrice Paternoster Two-step diagonally-implicit collocation
based methods for Volterra Integral
Equations . . . . . . . . . . . . . . . 1312--1324
Raffaele D'Ambrosio and
Beatrice Paternoster Two-step modified collocation methods
with structured coefficient matrices . . 1325--1334
Rüdiger Weiner and
Tamer El-Azab Exponential peer methods . . . . . . . . 1335--1348
S. González-Pinto and
D. Hernández-Abreu and
J. I. Montijano An efficient family of strongly
$A$-stable Runge--Kutta collocation
methods for stiff systems and DAEs. Part
II: Convergence results . . . . . . . . 1349--1360
R. D'Ambrosio and
G. Izzo and
Z. Jackiewicz Search for highly stable two-step
Runge--Kutta methods . . . . . . . . . . 1361--1379
Stefan Jebens and
Oswald Knoth and
Rüdiger Weiner Linearly implicit peer methods for the
compressible Euler equations . . . . . . 1380--1392
Rolf Krause and
Mirjam Walloth Presentation and comparison of selected
algorithms for dynamic contact based on
the Newmark scheme . . . . . . . . . . . 1393--1410
Holger Lang and
Martin Arnold Numerical aspects in the dynamic
simulation of geometrically exact rods 1411--1427
Eskil Hansen and
Felix Kramer and
Alexander Ostermann A second-order positivity preserving
scheme for semilinear parabolic problems 1428--1435
Alexander Ostermann and
Katharina Schratz Error analysis of splitting methods for
inhomogeneous evolution equations . . . 1436--1446
S. González-Pinto and
S. Pérez-Rodríguez A variable time-step-size code for
advection-diffusion-reaction PDEs . . . 1447--1462
L. Portero and
A. Arrarás and
J. C. Jorge Variable step-size fractional step
Runge--Kutta methods for time-dependent
partial differential equations . . . . . 1463--1476
Roland Pulch Polynomial chaos for boundary value
problems of dynamical systems . . . . . 1477--1490
Tom Schierz and
Martin Arnold Stabilized overlapping modular time
integration of coupled
differential-algebraic equations . . . . 1491--1502
H. Schiller and
M. Arnold Convergence of continuous approximations
for discontinuous ODEs . . . . . . . . . 1503--1514
Thorsten Schindler and
Heinz Ulbrich and
Friedrich Pfeiffer and
Arie van der Velde and
Arjen Brandsma Spatial simulation of pushbelt CVTs with
time-stepping schemes . . . . . . . . . 1515--1530
Martin Schlegel and
Oswald Knoth and
Martin Arnold and
Ralf Wolke Numerical solution of multiscale
problems in atmospheric modeling . . . . 1531--1543
B. A. Schmitt On algebraic stability of general linear
methods and peer methods . . . . . . . . 1544--1553
Evgeniy Zharovsky and
Amin Moosaie and
Anne Le Duc and
Michael Manhart and
Bernd Simeon On the numerical solution of a
convection-diffusion equation for
particle orientation dynamics on
geodesic grids . . . . . . . . . . . . . 1554--1566
Gerd Steinebach and
Rüdiger Weiner Peer methods for the one-dimensional
shallow-water equations with CWENO space
discretization . . . . . . . . . . . . . 1567--1578
Steffen Weber and
Martin Arnold and
Michael Valásek Quasistatic approximations for stiff
second order differential equations . . 1579--1590
R. Weiner and
G. Yu. Kulikov and
H. Podhaisky Variable-stepsize doubly
quasi-consistent parallel explicit peer
methods with global error control . . . 1591--1603
Anonymous Editorial Board . . . . . . . . . . . . ??
Sebastian Bielski Dirichlet-to-Neumann and
Neumann-to-Dirichlet methods for
eigenvalues and eigenfunctions of the
Laplace operator . . . . . . . . . . . . 1605--1619
Jens Berg and
Jan Nordström Spectral analysis of the continuous and
discretized heat and advection equation
on single and multiple domains . . . . . 1620--1638
Eliane Bécache and
Andrés Prieto Remarks on the stability of Cartesian
PMLs in corners . . . . . . . . . . . . 1639--1653
M. P. Ramachandran Fast derivative computation using smooth
X-splines . . . . . . . . . . . . . . . 1654--1662
Kenier Castillo and
Mirela V. Mello and
Fernando R. Rafaeli Monotonicity and asymptotics of zeros of
Sobolev type orthogonal polynomials: a
general case . . . . . . . . . . . . . . 1663--1671
A. Ashyralyev and
A. S. Erdogan and
O. Demirdag On the determination of the right-hand
side in a parabolic equation . . . . . . 1672--1683
Anonymous Editorial Board . . . . . . . . . . . . ??
Hongwei Liu and
Xinze Liu and
Changhe Liu Mehrotra-type predictor-corrector
algorithms for sufficient linear
complementarity problem . . . . . . . . 1685--1700
Kwang-Yeon Kim Flux reconstruction for the P2
nonconforming finite element method with
application to a posteriori error
estimation . . . . . . . . . . . . . . . 1701--1717
J. A. Ferreira and
L. Pinto and
G. Romanazzi Supraconvergence and supercloseness in
Volterra equations . . . . . . . . . . . 1718--1739
M. Wandelt and
M. Günther and
F. Knechtli and
M. Striebel Symmetric partitioned Runge--Kutta
methods for differential equations on
Lie groups . . . . . . . . . . . . . . . 1740--1748
Fayssal Benkhaldoun and
Salah Daoudi and
Imad Elmahi and
Mohammed Seaid Numerical modelling of sediment
transport in the Nador lagoon (Morocco) 1749--1766
A. Karageorghis and
B. T. Johansson and
D. Lesnic The method of fundamental solutions for
the identification of a sound-soft
obstacle in inverse acoustic scattering 1767--1780
Aurelian Bejancu and
Simon Hubbert A study of the uniform accuracy of
univariate thin plate spline
interpolation . . . . . . . . . . . . . 1781--1789
Mark Lyon Approximation error in regularized
SVD-based Fourier continuations . . . . 1790--1803
P. Novati and
M. Redivo-Zaglia and
M. R. Russo Preconditioning linear systems via
matrix function evaluation . . . . . . . 1804--1818
A. Ditkowski and
Y. Harness Wave scattering by randomly shaped
objects . . . . . . . . . . . . . . . . 1819--1836
Ahmad-Wahadj Hamkar and
Stefan Hartmann and
Joachim Rang A stiffly accurate Rosenbrock-type
method of order $2$ applied to
FE-analyses in finite strain
viscoelasticity . . . . . . . . . . . . 1837--1848
Igor Boglaev On modified accelerated monotone
iterates for solving semilinear
parabolic problems . . . . . . . . . . . 1849--1863
Dingwen Deng and
Chengjian Zhang A new fourth-order numerical algorithm
for a class of nonlinear wave equations 1864--1879
Samir Kumar Bhowmik Numerical convergence of a one step
approximation of an integro-differential
equation . . . . . . . . . . . . . . . . 1880--1892
Kh. M. Shadimetov and
A. R. Hayotov and
S. S. Azamov Optimal quadrature formula in $ K_2
(P_2) $ space . . . . . . . . . . . . . 1893--1909
Joe Coyle Overlapping solution finite element
method --- Higher order approximation
and implementation . . . . . . . . . . . 1910--1924
Lijun Yi On the asymptotic exactness of error
estimators based on the equilibrated
residual method for quadrilateral finite
elements . . . . . . . . . . . . . . . . 1925--1937
Nana Arizumi and
Stephen D. Bond On the estimation and correction of
discretization error in molecular
dynamics averages . . . . . . . . . . . 1938--1953
Wenjie Shi and
Chengjian Zhang Error analysis of generalized polynomial
chaos for nonlinear random ordinary
differential equations . . . . . . . . . 1954--1964
Anonymous Editorial Board . . . . . . . . . . . . ??
A. Ihsan Hasçelik An asymptotic Filon-type method for
infinite range highly oscillatory
integrals with exponential kernel . . . 1--13
O. Koch and
Ch. Neuhauser and
M. Thalhammer Embedded exponential operator splitting
methods for the time integration of
nonlinear evolution equations . . . . . 14--24
Mauricio A. Barrientos and
Matthias Maischak A-posteriori error analysis to the
exterior Stokes problem . . . . . . . . 25--44
M. N. Spijker The existence of stepsize-coefficients
for boundedness of linear multistep
methods . . . . . . . . . . . . . . . . 45--57
Varun Shankar and
Grady B. Wright and
Aaron L. Fogelson and
Robert M. Kirby A study of different modeling choices
for simulating platelets within the
immersed boundary method . . . . . . . . 58--77
Chun-Yueh Chiang and
Hung-Yuan Fan Residual bounds of the stochastic
algebraic Riccati equation . . . . . . . 78--87
R. A. Norton and
R. Scheichl Planewave expansion methods for photonic
crystal fibres . . . . . . . . . . . . . 88--104
Daniele A. Di Pietro and
Serge Nicaise A locking-free discontinuous Galerkin
method for linear elasticity in locally
nearly incompressible heterogeneous
media . . . . . . . . . . . . . . . . . 105--116
M. I. M. Copetti and
J. R. Fernández A dynamic contact problem involving a
Timoshenko beam model . . . . . . . . . 117--128
M. H. Annaby and
M. M. Tharwat A sinc-Gaussian technique for computing
eigenvalues of second-order linear
pencils . . . . . . . . . . . . . . . . 129--137
Anonymous Editorial Board . . . . . . . . . . . . ??
Lilia Krivodonova and
Ruibin Qin An analysis of the spectrum of the
discontinuous Galerkin method . . . . . 1--18
Jin Zhang and
Liquan Mei and
Yaping Chen Pointwise estimates of the SDFEM for
convection-diffusion problems with
characteristic layers . . . . . . . . . 19--34
Aytekin Çibik and
Songül Kaya Finite element analysis of a
projection-based stabilization method
for the Darcy--Brinkman equations in
double-diffusive convection . . . . . . 35--49
Garret M. Flagg and
Serkan Gugercin On the ADI method for the Sylvester
equation and the optimal-$ {\cal H}_2 $
points . . . . . . . . . . . . . . . . . 50--58
Anonymous Editorial Board . . . . . . . . . . . . ??
Chien-Hong Cho On the finite difference approximation
for blow-up solutions of the porous
medium equation with a source . . . . . 1--26
Franz Chouly and
Patrick Hild On convergence of the penalty method for
unilateral contact problems . . . . . . 27--40
D. K. Dimitrov and
M. E. H. Ismail and
A. Sri Ranga A class of hypergeometric polynomials
with zeros on the unit circle: Extremal
and orthogonal properties and quadrature
formulas . . . . . . . . . . . . . . . . 41--52
Yvan Notay and
Artem Napov Further comparison of additive and
multiplicative coarse grid correction 53--62
Patrizia Bagnerini and
Annalisa Buffa and
Elisa Vacca Mesh generation and numerical analysis
of a Galerkin method for highly
conductive prefractal layers . . . . . . 63--78
Ali Foroush Bastani and
Zaniar Ahmadi and
Davood Damircheli A radial basis collocation method for
pricing American options under
regime-switching jump-diffusion models 79--90
Robert J. Renka Nonlinear least squares and Sobolev
gradients . . . . . . . . . . . . . . . 91--104
Fatemeh Shakeri and
Mehdi Dehghan A high order finite volume element
method for solving elliptic partial
integro-differential equations . . . . . 105--118
Anonymous Editorial Board . . . . . . . . . . . . ??
Randolph E. Bank and
Luka Grubisi\'c and
Jeffrey S. Ovall A framework for robust eigenvalue and
eigenvector error estimation and Ritz
value convergence enhancement . . . . . 1--29
B. Cano and
M. J. Moreta High-order symmetric multistep cosine
methods . . . . . . . . . . . . . . . . 30--44
Ming Yang and
Jijun Liu Solving a final value fractional
diffusion problem by boundary condition
regularization . . . . . . . . . . . . . 45--58
Anonymous Editorial Board . . . . . . . . . . . . ??
Apostolos Hadjidimos Introduction . . . . . . . . . . . . . . 1--3
Kuniyoshi Abe and
Gerard L. G. Sleijpen Solving linear equations with a
stabilized GPBiCG method . . . . . . . . 4--16
D. C. Antonopoulou Galerkin methods for the `Parabolic
Equation' Dirichlet problem in a
variable $2$-D and $3$-D topography . . 17--34
E. Bänsch and
F. Karakatsani and
Ch. Makridakis The effect of mesh modification in time
on the error control of fully discrete
approximations for parabolic equations 35--63
R. P. K. Chan and
A. Gorgey Active and passive symmetrization of
Runge--Kutta Gauss methods . . . . . . . 64--77
N. Cheimarios and
G. Kokkoris and
A. G. Boudouvis An efficient parallel iteration method
for multiscale analysis of chemical
vapor deposition processes . . . . . . . 78--88
Josef Dalík Reduced averaging of directional
derivatives in the vertices of
unstructured triangulations . . . . . . 89--97
Luca Dieci and
Luciano Lopez Numerical solution of discontinuous
differential systems: Approaching the
discontinuity surface from one side . . 98--110
Evangelia T. Flouri and
Nikos Kalligeris and
George Alexandrakis and
Nikolaos A. Kampanis and
Costas E. Synolakis Application of a finite difference
computational model to the simulation of
earthquake generated tsunamis . . . . . 111--125
M. I. Berenguer and
A. I. Garralda-Guillem and
M. Ruiz Galán An approximation method for solving
systems of Volterra integro-differential
equations . . . . . . . . . . . . . . . 126--135
Siraj-ul-Islam and
R. Vertnik and
B. Sarler Local radial basis function collocation
method along with explicit time stepping
for hyperbolic partial differential
equations . . . . . . . . . . . . . . . 136--151
N. A. Kampanis and
A. I. Delis and
D. C. Antonopoulou and
G. Kozyrakis A finite element discretization of the
standard parabolic equation in
generalized boundary fitting coordinates 152--166
M. Kazolea and
A. I. Delis A well-balanced shock-capturing hybrid
finite volume-finite difference
numerical scheme for extended $1$D
Boussinesq models . . . . . . . . . . . 167--186
Michael Michaeli and
Franck Assous and
Anatoly Golubchik A Nitsche type method for stress fields
calculation in dissimilar material with
interface crack . . . . . . . . . . . . 187--203
Nabil R. Nassif and
Noha Makhoul-Karam and
Jocelyne Erhel A globally adaptive explicit numerical
method for exploding systems of ordinary
differential equations . . . . . . . . . 204--219
Alicja Smoktunowicz and
Agata Smoktunowicz Iterative refinement techniques for
solving block linear systems of
equations . . . . . . . . . . . . . . . 220--229
Trond Steihaug and
Sara Suleiman Rate of convergence of higher order
methods . . . . . . . . . . . . . . . . 230--242
Georgios T. Kossioris and
Georgios E. Zouraris Finite element approximations for a
linear fourth-order parabolic SPDE in
two and three space dimensions with
additive space--time white noise . . . . 243--261
Anonymous Editorial Board . . . . . . . . . . . . ??
M. Donatelli and
M. Semplice and
S. Serra-Capizzano AMG preconditioning for nonlinear
degenerate parabolic equations on
nonuniform grids with application to
monument degradation . . . . . . . . . . 1--18
A. Tocino and
R. Zeghdane and
L. Abbaoui Linear mean-square stability analysis of
weak order 2.0 semi-implicit Taylor
schemes for scalar stochastic
differential equations . . . . . . . . . 19--30
Cunyun Nie and
Haiyuan Yu Some error estimates on the finite
element approximation for
two-dimensional elliptic problem with
nonlocal boundary . . . . . . . . . . . 31--38
Jun-Gang Wang and
Yu-Bin Zhou and
Ting Wei Two regularization methods to identify a
space-dependent source for the
time-fractional diffusion equation . . . 39--57
S. Blanes and
F. Casas and
A. Farrés and
J. Laskar and
J. Makazaga and
A. Murua New families of symplectic splitting
methods for numerical integration in
dynamical astronomy . . . . . . . . . . 58--72
Davoud Mirzaei and
Robert Schaback Direct Meshless Local Petrov--Galerkin
(DMLPG) method: a generalized MLS
approximation . . . . . . . . . . . . . 73--82
Lunji Song and
Yujiang Wu Nonlinear stability of
reaction-diffusion equations using
wavelet-like incremental unknowns . . . 83--107
Anonymous Editorial Board . . . . . . . . . . . . ??
Guoliang Xu Consistent approximations of several
geometric differential operators and
their convergence . . . . . . . . . . . 1--12
A. Hazanee and
M. I. Ismailov and
D. Lesnic and
N. B. Kerimov An inverse time-dependent source problem
for the heat equation . . . . . . . . . 13--33
Rezvan Salehi and
Mehdi Dehghan A moving least square reproducing
polynomial meshless method . . . . . . . 34--58
Yidu Yang and
Hai Bi and
Sirui Li The extrapolation of numerical
eigenvalues by finite elements for
differential operators . . . . . . . . . 59--72
Huinan Leng and
Qi Zhang An iterative algorithm for the stability
analysis of dynamic interval systems . . 73--77
Anonymous Editorial Board . . . . . . . . . . . . ??
Natasa Kreji\'c and
Zorana Luzanin and
Irena Stojkovska A gradient method for unconstrained
optimization in noisy environment . . . 1--21
Minghua Chen and
Weihua Deng and
Yujiang Wu Superlinearly convergent algorithms for
the two-dimensional space--time
Caputo--Riesz fractional diffusion
equation . . . . . . . . . . . . . . . . 22--41
Qing Yang and
Yirang Yuan An approximation of semiconductor device
of heat conduction by mixed finite
element method and characteristics-mixed
finite element method . . . . . . . . . 42--57
Naveed Ahmed and
Gunar Matthies and
Lutz Tobiska Stabilized finite element discretization
applied to an operator-splitting method
of population balance equations . . . . 58--79
Anonymous Editorial Board . . . . . . . . . . . . ??
Quanxiang Wang and
Zhiyue Zhang and
Zhilin Li A Fourier finite volume element method
for solving two-dimensional
quasi-geostrophic equations on a sphere 1--13
Lo\"\ic Bourdin and
Jacky Cresson and
Isabelle Greff and
Pierre Inizan Variational integrator for fractional
Euler--Lagrange equations . . . . . . . 14--23
R. M. Caplan and
R. Carretero-González Numerical stability of explicit
Runge--Kutta finite-difference schemes
for the nonlinear Schrödinger equation 24--40
Lilia Krivodonova and
Ruibin Qin An analysis of the spectrum of the
discontinuous Galerkin method II:
Nonuniform grids . . . . . . . . . . . . 41--62
Anonymous Editorial Board . . . . . . . . . . . . ??
M. Isic and
Z. Horvat and
M. Spasojevic Advection step in the split-operator
approach applied to river modeling . . . 1--18
Andreas Rathsfeld Shape derivatives for the scattering by
biperiodic gratings . . . . . . . . . . 19--32
Y. Huang and
P. A. Forsyth and
G. Labahn Inexact arithmetic considerations for
direct control and penalty methods:
American options under jump diffusion 33--51
Yiding Lin and
Valeria Simoncini Minimal residual methods for large scale
Lyapunov equations . . . . . . . . . . . 52--71
A. Rathinasamy and
Baojian Yin Strong solutions of a class of hybrid
diffusion processes with state-dependent
regime-switching . . . . . . . . . . . . 72--90
Bishnu P. Lamichhane Two simple finite element methods for
Reissner--Mindlin plates with clamped
boundary condition . . . . . . . . . . . 91--98
T. E. Lee and
M. J. Baines and
S. Langdon and
M. J. Tindall A moving mesh approach for modelling
avascular tumour growth . . . . . . . . 99--114
Debananda Chakraborty and
Jae-Hun Jung and
Emmanuel Lorin An efficient determination of critical
parameters of nonlinear Schrödinger
equation with a point-like potential
using generalized polynomial chaos
methods . . . . . . . . . . . . . . . . 115--130
Xingding Chen and
Qiya Hu and
Junmin Xiao On the enhanced strain finite element
method for incompressible linear
elasticity . . . . . . . . . . . . . . . 131--142
Shimin Guo and
Lech A. Grzelak and
Cornelis W. Oosterlee Analysis of an affine version of the
Heston--Hull--White option pricing
partial differential equation . . . . . 143--159
Yaning Liu and
M. Yousuff Hussaini and
Giray Ökten Optimization of a Monte Carlo variance
reduction method based on sensitivity
derivatives . . . . . . . . . . . . . . 160--171
Francisco de la Hoz and
Fernando Vadillo The solution of two-dimensional
advection-diffusion equations via
operational matrices . . . . . . . . . . 172--187
M. Bürg Convergence of an automatic hp-adaptive
finite element strategy for Maxwell's
equations . . . . . . . . . . . . . . . 188--204
F. Cimolin and
M. Discacciati Navier--Stokes/Forchheimer models for
filtration through porous media . . . . 205--224
Fei Wang and
Weimin Han Another view for a posteriori error
estimates for variational inequalities
of the second kind . . . . . . . . . . . 225--233
G. Yu. Mehdiyeva and
M. N. Imanova and
V. R. Ibrahimov On one application of forward jumping
methods . . . . . . . . . . . . . . . . 234--245
Anonymous Editorial Board . . . . . . . . . . . . ??
Maurizio Falcone and
Roberto Ferretti and
Ian M. Mitchell and
Hongkai Zhao Special Issue dedicated to Numerical
Methods for Viscosity Solutions and
Applications . . . . . . . . . . . . . . 1--1
F. Cagnetti and
D. Gomes and
H. V. Tran Convergence of a semi-discretization
scheme for the Hamilton--Jacobi
equation: a new approach with the
adjoint method . . . . . . . . . . . . . 2--15
Elisabetta Carlini and
Roberto Ferretti A Semi-Lagrangian approximation for the
AMSS model of image processing . . . . . 16--32
Fabio Camilli and
Adriano Festa and
Dirk Schieborn An approximation scheme for a
Hamilton--Jacobi equation defined on a
network . . . . . . . . . . . . . . . . 33--47
Susana Serna and
Antonio Marquina Fronts propagating with signal dependent
speed in limited diffusion and related
Hamilton--Jacobi formulations . . . . . 48--62
M. Falcone and
S. Finzi Vita and
T. Giorgi and
R. G. Smits A semi-Lagrangian scheme for the game
$p$-Laplacian via $p$-averaging . . . . 63--80
Anonymous Editorial Board . . . . . . . . . . . . ??
M. Bebendorf and
A. Kühnemund and
S. Rjasanow An equi-directional generalization of
adaptive cross approximation for
higher-order tensors . . . . . . . . . . 1--16
Bin Wang and
Xinyuan Wu and
Jianlin Xia Error bounds for explicit ERKN
integrators for systems of
multi-frequency oscillatory second-order
differential equations . . . . . . . . . 17--34
S. R. Arridge and
H. Egger and
M. Schlottbom Preconditioning of complex symmetric
linear systems with applications in
optical tomography . . . . . . . . . . . 35--48
Gaspare Da Fies and
Alvise Sommariva and
Marco Vianello Algebraic cubature by linear blending of
elliptical arcs . . . . . . . . . . . . 49--61
M. Tavelli and
M. Dumbser and
V. Casulli High resolution methods for scalar
transport problems in compliant systems
of arteries . . . . . . . . . . . . . . 62--82
K. J. in 't Hout and
C. Mishra Stability of ADI schemes for
multidimensional diffusion equations
with mixed derivative terms . . . . . . 83--94
A. Bouhamidi and
M. Hached and
K. Jbilou A meshless method for the numerical
computation of the solution of steady
Burgers-type equations . . . . . . . . . 95--110
Andrey L. Karchevsky and
Michael V. Klibanov and
Lam Nguyen and
Natee Pantong and
Anders Sullivan The Krein method and the globally
convergent method for experimental data 111--127
Xiong You and
Zhaoxia Chen Direct integrators of Runge--Kutta type
for special third-order ordinary
differential equations . . . . . . . . . 128--150
Edwin Jimenez and
Yaning Liu and
M. Yousuff Hussaini Variance reduction method based on
sensitivity derivatives, Part 2 . . . . 151--159
Khalide Jbilou and
Lothar Reichel and
Hassane Sadok Preface . . . . . . . . . . . . . . . . 1--1
Khalid Saeed Carathéodory--Toeplitz based mathematical
methods and their algorithmic
applications in biometric image
processing . . . . . . . . . . . . . . . 2--21
J. Rogava and
M. Tsiklauri Convergence of a semi-discrete scheme
for an abstract nonlinear second order
evolution equation . . . . . . . . . . . 22--36
Atika Archid and
Abdeselem Hafid Bentbib Approximation of the matrix exponential
operator by a structure-preserving block
Arnoldi-type method . . . . . . . . . . 37--47
P. Marion and
K. Najib and
C. Rosier Numerical simulations for a seawater
intrusion problem in a free aquifer . . 48--60
Mohammad Al-Khaleel and
Martin J. Gander and
Albert E. Ruehli A mathematical analysis of optimized
waveform relaxation for a small RC
circuit . . . . . . . . . . . . . . . . 61--76
Olivier Fercoq Perron vector optimization applied to
search engines . . . . . . . . . . . . . 77--99
Gérard Meurant Necessary and sufficient conditions for
GMRES complete and partial stagnation 100--107
P. Ryckelynck and
L. Smoch Quadratic choreographies . . . . . . . . 108--122
M. A. Fortes and
M. L. Rodríguez Non-uniform multiresolution analysis for
surfaces and applications . . . . . . . 123--135
Tristan A. Hearn and
Lothar Reichel Fast computation of convolution
operations via low-rank approximation 136--153
P. Favati and
G. Lotti and
O. Menchi and
F. Romani Stopping rules for iterative methods in
nonnegatively constrained deconvolution 154--166
Miroslav Rozlozník and
Alicja Smoktunowicz and
Jirí Kopal A note on iterative refinement for
seminormal equations . . . . . . . . . . 167--174
Keiichi Morikuni and
Lothar Reichel and
Ken Hayami FGMRES for linear discrete ill-posed
problems . . . . . . . . . . . . . . . . 175--187
Silvia Noschese and
Lothar Reichel A note on superoptimal generalized
circulant preconditioners . . . . . . . 188--195
A. Abdi and
M. Bra\'s and
G. Hojjati On the construction of second derivative
diagonally implicit multistage
integration methods for ODEs . . . . . . 1--18
Wanrong Cao and
Peng Hao and
Zhongqiang Zhang Split-step $ \theta $-method for
stochastic delay differential equations 19--33
Kenneth Duru and
Gunilla Kreiss Efficient and stable perfectly matched
layer for CEM . . . . . . . . . . . . . 34--47
Peng Zhu and
Shenglan Xie Higher order uniformly convergent
continuous/discontinuous Galerkin
methods for singularly perturbed
problems of convection-diffusion type 48--59
S. Amdouni and
M. Moakher and
Y. Renard A local projection stabilization of
fictitious domain method for elliptic
boundary value problems . . . . . . . . 60--75
Lothar Banz and
Ernst P. Stephan A posteriori error estimates of
hp-adaptive IPDG-FEM for elliptic
obstacle problems . . . . . . . . . . . 76--92
Robert J. Renka A trust region method for constructing
triangle-mesh approximations of
parametric minimal surfaces . . . . . . 93--100
Slimane Adjerid and
Thomas Weinhart Asymptotically exact discontinuous
Galerkin error estimates for linear
symmetric hyperbolic systems . . . . . . 101--131
Sebastian Franz Superconvergence using pointwise
interpolation in convection-diffusion
problems . . . . . . . . . . . . . . . . 132--144
M. W. Crochet and
K. A. Gonthier A Riemann problem solution methodology
for a class of evolutionary mixture
equations with an arbitrary number of
components . . . . . . . . . . . . . . . 145--165
Luca Vincenzo Ballestra and
Graziella Pacelli A very fast and accurate boundary
element method for options with moving
barrier and time-dependent rebate . . . 1--15
Qinghai Zhang A fourth-order approximate projection
method for the incompressible
Navier--Stokes equations on
locally-refined periodic domains . . . . 16--30
Won-Kwang Park Analysis of a multi-frequency
electromagnetic imaging functional for
thin, crack-like electromagnetic
inclusions . . . . . . . . . . . . . . . 31--42
E. H. Doha and
A. H. Bhrawy and
D. Baleanu and
R. M. Hafez A new Jacobi rational-Gauss collocation
method for numerical solution of
generalized pantograph equations . . . . 43--54
M. I. M. Copetti and
J. R. Fernández A dynamic contact problem in
thermoviscoelasticity with two
temperatures . . . . . . . . . . . . . . 55--71
Samuel A. Melchior and
Paul Van Dooren and
Kyle A. Gallivan Model reduction of linear time-varying
systems over finite horizons . . . . . . 72--81
M. C. Martí and
P. Mulet Some techniques for improving the
resolution of finite difference
component-wise WENO schemes for
polydisperse sedimentation models . . . 1--13
B. Zhang and
C. W. Oosterlee Pricing of early-exercise Asian options
under Lévy processes based on Fourier
cosine expansions . . . . . . . . . . . 14--30
I. Maier and
B. Haasdonk A Dirichlet--Neumann reduced basis
method for homogeneous domain
decomposition problems . . . . . . . . . 31--48
Alemdar Hasanov and
Burhan Pektas A unified approach to identifying an
unknown spacewise dependent source in a
variable coefficient parabolic equation
from final and integral
overdeterminations . . . . . . . . . . . 49--67
Roland Becker and
Guy Vallet and
Abdelaziz Taakili A discontinuous Galerkin method for a
model arising from stratigraphy . . . . 68--79
Pawel Przybylowicz and
Pawel Morkisz Strong approximation of solutions of
stochastic differential equations with
time-irregular coefficients via
randomized Euler algorithm . . . . . . . 80--94
Ting Wei and
Jungang Wang A modified quasi-boundary value method
for an inverse source problem of the
time-fractional diffusion equation . . . 95--111
Alfredo Bermúdez and
Dolores Gómez and
Pilar Salgado Preface . . . . . . . . . . . . . . . . 1--2
Oszkár Bíró and
Gergely Koczka and
Kurt Preis Finite element solution of nonlinear
eddy current problems with periodic
excitation and its industrial
applications . . . . . . . . . . . . . . 3--17
Daniele Boffi and
Lucia Gastaldi Some remarks on finite element
approximation of multiple eigenvalues 18--28
A.-S. Bonnet-Ben Dhia and
L. Chesnel and
P. Ciarlet, Jr. Two-dimensional Maxwell's equations with
sign-changing coefficients . . . . . . . 29--41
Sébastien Imperiale and
Patrick Joly Mathematical modeling of electromagnetic
wave propagation in heterogeneous lossy
coaxial cables with variable cross
section . . . . . . . . . . . . . . . . 42--61
Qiang Chen and
Peter Monk Time domain CFIEs for electromagnetic
scattering problems . . . . . . . . . . 62--78
Ralf Hiptmair and
Andrea Moiola and
Ilaria Perugia Trefftz discontinuous Galerkin methods
for acoustic scattering on locally
refined meshes . . . . . . . . . . . . . 79--91
Francesca Rapetti and
Germain Rousseaux On quasi-static models hidden in
Maxwell's equations . . . . . . . . . . 92--106
V. Selgas A symmetric BEM--FEM method for an
axisymmetric eddy current problem . . . 107--123
Aurore Back and
Eric Sonnendrücker Finite Element Hodge for spline discrete
differential forms. Application to the
Vlasov--Poisson system . . . . . . . . . 124--136
Peder Aursand and
Steinar Evje and
Tore Flåtten and
Knut Erik Teigen Giljarhus and
Svend Tollak Munkejord An exponential time-differencing method
for monotonic relaxation systems . . . . 1--21
Li Cai and
Wenxian Xie and
Yufeng Nie and
Jianhu Feng High-resolution semi-discrete Hermite
central-upwind scheme for
multidimensional Hamilton--Jacobi
equations . . . . . . . . . . . . . . . 22--45
Adimurthi and
K. Sudarshan Kumar and
G. D. Veerappa Gowda Second order scheme for scalar
conservation laws with discontinuous
flux . . . . . . . . . . . . . . . . . . 46--64
Jiansong Zhang and
Danping Yang and
Shuqian Shen and
Jiang Zhu A new MMOCAA--MFE method for
compressible miscible displacement in
porous media . . . . . . . . . . . . . . 65--80
O. Steinbach and
L. Tchoualag Fast Fourier Transform for efficient
evaluation of Newton potential in BEM 1--14
Yunxia Wei and
Yanping Chen Legendre spectral collocation method for
neutral and high-order Volterra
integro-differential equation . . . . . 15--29
Avram Sidi Analysis of errors in some recent
numerical quadrature formulas for
periodic singular and hypersingular
integrals via regularization . . . . . . 30--39
X. Liu and
G. L. Zhang and
M. Z. Liu Analytic and numerical exponential
asymptotic stability of nonlinear
impulsive differential equations . . . . 40--49
Seungil Kim Cartesian PML approximation to
resonances in open systems in $ \mathbb
{R}^2 $ . . . . . . . . . . . . . . . . 50--75
Pouria Assari and
Hojatollah Adibi and
Mehdi Dehghan The numerical solution of weakly
singular integral equations based on the
meshless product integration (MPI)
method with error analysis . . . . . . . 76--93
Youngmok Jeon and
Do Young Kwak A flux preserving immersed nonconforming
finite element method for elliptic
problems . . . . . . . . . . . . . . . . 94--104
Kirk M. Soodhalter and
Daniel B. Szyld and
Fei Xue Krylov subspace recycling for sequences
of shifted linear systems . . . . . . . 105--118
Dongfang Li and
Chengjian Zhang $ L^\infty $ error estimates of
discontinuous Galerkin methods for delay
differential equations . . . . . . . . . 1--10
Mohammed Shuker Mahmood and
Karel Kovárik Solution of double nonlinear problems in
porous media by a combined finite
volume-finite element algorithm . . . . 11--31
Yibao Li and
Junseok Kim An unconditionally stable hybrid method
for image segmentation . . . . . . . . . 32--43
Qiang Ma and
Deqiong Ding and
Xiaohua Ding Mean-square dissipativity of several
numerical methods for stochastic
differential equations with jumps . . . 44--50
Yidu Yang and
Lingling Sun and
Hai Bi and
Hao Li A note on the residual type a posteriori
error estimates for finite element
eigenpairs of nonsymmetric elliptic
eigenvalue problems . . . . . . . . . . 51--67
Yong Wang and
Jian-Xun Zhao An algorithm for a class of nonlinear
complementarity problems with
non-Lipschitzian functions . . . . . . . 68--79
Vít Dolejsí Anisotropic hp-adaptive method based on
interpolation error estimates in the $
L^q $-norm . . . . . . . . . . . . . . . 80--114
Anonymous Editorial Board . . . . . . . . . . . . ifc
Hassan Majidian Composite quadrature rules for a class
of weakly singular Volterra integral
equations with noncompact kernels . . . 1--11
Wenxing Zhang and
Deren Han and
Suoliang Jiang A modified alternating projection based
prediction-correction method for
structured variational inequalities . . 12--21
Sergey Kabanikhin and
Alemdar Hasanov and
Igor Marinin and
Olga Krivorotko and
David Khidasheli A variational approach to reconstruction
of an initial tsunami source
perturbation . . . . . . . . . . . . . . 22--37
Wen Li and
Seak-Weng Vong and
Xiao-fei Peng On eigenvalue perturbation bounds for
Hermitian block tridiagonal matrices . . 38--50
S. Hussain and
F. Schieweck and
S. Turek Efficient Newton-multigrid solution
techniques for higher order space--time
Galerkin discretizations of
incompressible flow . . . . . . . . . . 51--71
Mahboub Baccouch A posteriori error estimates for a
discontinuous Galerkin method applied to
one-dimensional nonlinear scalar
conservation laws . . . . . . . . . . . 1--21
M. Seydaoglu and
S. Blanes High-order splitting methods for
separable non-autonomous parabolic
equations . . . . . . . . . . . . . . . 22--32
Santtu Salmi and
Jari Toivanen IMEX schemes for pricing options under
jump-diffusion models . . . . . . . . . 33--45
Tomás P. Barrios and
Edwin M. Behrens and
María González Low cost a posteriori error estimators
for an augmented mixed FEM in linear
elasticity . . . . . . . . . . . . . . . 46--65
Lizhen Chen and
Jie Shen and
Chuanju Xu and
Li-Shi Luo Parallel spectral-element direction
splitting method for incompressible
Navier--Stokes equations . . . . . . . . 66--79
Anonymous Editorial Board . . . . . . . . . . . . ifc
A. Limem and
G. Delmaire and
M. Puigt and
G. Roussel and
D. Courcot Non-negative matrix factorization under
equality constraints --- a study of
industrial source identification . . . . 1--15
Karol Mikula and
Mario Ohlberger and
Jozef Urbán Inflow-implicit/outflow-explicit finite
volume methods for solving advection
equations . . . . . . . . . . . . . . . 16--37
Pedro M. Lima and
Neville J. Ford and
Patricia M. Lumb Computational methods for a mathematical
model of propagation of nerve impulses
in myelinated axons . . . . . . . . . . 38--53
Xin Wang and
Liqun Cao and
Yaushu Wong Multiscale approach for stochastic
elliptic equations in heterogeneous
media . . . . . . . . . . . . . . . . . 54--76
Qiong-Sheng Chen and
Fu-Rong Lin A modified Nyström--Clenshaw--Curtis
quadrature for integral equations with
piecewise smooth kernels . . . . . . . . 77--89
Peter Hansbo and
Mats G. Larson and
Sara Zahedi A cut finite element method for a Stokes
interface problem . . . . . . . . . . . 90--114
Wei Gao and
Hong Li and
Yang Liu and
XiaoXi Wei A Padé compact high-order finite volume
scheme for nonlinear Schrödinger
equations . . . . . . . . . . . . . . . 115--127
Tie Zhang and
Shun Yu The derivative patch interpolation
recovery technique and superconvergence
for the discontinuous Galerkin method 128--141
Shuhan Cao and
Yunhai Xiao and
Hong Zhu Linearized alternating directions method
for $ \ell_1$-norm inequality
constrained $ \ell_1$-norm minimization 142--153
Anonymous Editorial Board . . . . . . . . . . . . IFC
I. V. Boykov and
E. S. Ventsel and
V. A. Roudnev and
A. I. Boykova An approximate solution of nonlinear
hypersingular integral equations . . . . 1--21
A. I. Ávila and
A. Meister and
M. Steigemann On numerical methods for nonlinear
singularly perturbed Schrödinger problems 22--42
Jianping Xiao and
John P. Boyd Periodized radial basis functions, part
I: Theory . . . . . . . . . . . . . . . 43--73
Lutz Tobiska A two-level higher order local
projection stabilization on hexahedral
meshes . . . . . . . . . . . . . . . . . 74--80
Anonymous Editorial Board . . . . . . . . . . . . IFC
J. J. Liu and
M. Yamamoto and
L. Yan On the uniqueness and reconstruction for
an inverse problem of the fractional
diffusion process . . . . . . . . . . . 1--19
Jaewook Lee and
Younhee Lee Stability of an implicit method to
evaluate option prices under local
volatility with jumps . . . . . . . . . 20--30
A. Gorgey and
R. P. K. Chan Choice of strategies for extrapolation
with symmetrization in the constant
stepsize setting . . . . . . . . . . . . 31--37
Jialin Hong and
Dongsheng Xu and
Peng Wang Preservation of quadratic invariants of
stochastic differential equations via
Runge--Kutta methods . . . . . . . . . . 38--52
Maurizio Venutelli New optimized fourth-order compact
finite difference schemes for wave
propagation phenomena . . . . . . . . . 53--73
D. Sbibih and
A. Serghini and
A. Tijini Superconvergent quadratic spline
quasi-interpolants on Powell--Sabin
partitions . . . . . . . . . . . . . . . 74--86
H. Alici and
H. Taseli The Laguerre pseudospectral method for
the radial Schrödinger equation . . . . . 87--99
Luigi Brugnano and
Felice Iavernaro and
Cecilia Magherini Efficient implementation of Radau
collocation methods . . . . . . . . . . 100--113
Quang A. Dang and
Dinh Hung Tran Method of infinite systems of equations
for solving an elliptic problem in a
semistrip . . . . . . . . . . . . . . . 114--124
John P. Boyd Convergence and error theorems for
Hermite function pseudo-RBFs:
Interpolation on a finite interval by
Gaussian-localized polynomials . . . . . 125--144
Terence J. T. Norton and
Adrian T. Hill An iterative starting method to control
parasitism for the Leapfrog method . . . 145--156
Francesco Aldo Costabile and
Anna Napoli Collocation for high order differential
equations with two-points Hermite
boundary conditions . . . . . . . . . . 157--167
Anonymous Editorial Board . . . . . . . . . . . . IFC
Tomás Oberhuber Numerical solution for the anisotropic
Willmore flow of graphs . . . . . . . . 1--17
Hai-Hua Qin and
Xiaodong Liu The interior inverse scattering problem
for cavities with an artificial obstacle 18--30
Daniel Potts and
Manfred Tasche Fast ESPRIT algorithms based on partial
singular value decompositions . . . . . 31--45
H. Temimi Superconvergence of discontinuous
Galerkin solutions for higher-order
ordinary differential equations . . . . 46--65
Juan C. Aguilar Higher-order Newton--Cotes rules with
end corrections . . . . . . . . . . . . 66--77
Anonymous Editorial Board . . . . . . . . . . . . IFC
V. Reshniak and
A. Q. M. Khaliq and
D. A. Voss and
G. Zhang Split-step Milstein methods for
multi-channel stiff stochastic
differential systems . . . . . . . . . . 1--23
Michael Dumbser and
Uwe Iben and
Matteo Ioriatti An efficient semi-implicit finite volume
method for axially symmetric
compressible flows in compliant tubes 24--44
M. Ganesh and
T. Thompson Schrödinger eigenbasis on a class of
superconducting surfaces: Ansatz,
analysis, FEM approximations and
computations . . . . . . . . . . . . . . 45--75
Anonymous Editorial Board . . . . . . . . . . . . IFC
S. J. Johnston and
K. Jordaan Quasi-orthogonality and real zeros of
some ${}_2 F_2$ and ${}_3 F_2$
polynomials . . . . . . . . . . . . . . 1--8
Hailong Qiu and
Liquan Mei and
Hui Liu and
Stephen Cartwright A defect-correction stabilized finite
element method for Navier--Stokes
equations with friction boundary
conditions . . . . . . . . . . . . . . . 9--21
Ercília Sousa and
Can Li A weighted finite difference method for
the fractional diffusion equation based
on the Riemann--Liouville derivative . . 22--37
Davide Buoso and
Anna Karapiperi and
Stefano Pozza Generalizations of Aitken's process for
a certain class of sequences . . . . . . 38--54
Karl Kunisch and
Stefan H. Reiterer A Gautschi time-stepping approach to
optimal control of the wave equation . . 55--76
Mingchao Cai Analysis of some projection method based
preconditioners for models of
incompressible flow . . . . . . . . . . 77--90
Mengdi Zheng and
Xiaoliang Wan and
George Em Karniadakis Adaptive multi-element polynomial chaos
with discrete measure: Algorithms and
application to SPDEs . . . . . . . . . . 91--110
Franco Dassi and
Bree Ettinger and
Simona Perotto and
Laura M. Sangalli A mesh simplification strategy for a
spatial regression analysis over the
cortical surface of the brain . . . . . 111--131
E. Pellegrino Numerical evaluation of new quadrature
rules using refinable operators . . . . 132--145
Jie Du and
Chi-Wang Shu and
Mengping Zhang A simple weighted essentially
non-oscillatory limiter for the
correction procedure via reconstruction
(CPR) framework on unstructured meshes 146--167
Francesco Calabr\`o and
Carla Manni and
Francesca Pitolli Computation of quadrature rules for
integration with respect to refinable
functions on assigned nodes . . . . . . 168--189
Ming Yan and
Wei Gong and
Ningning Yan Finite element methods for elliptic
optimal control problems with boundary
observations . . . . . . . . . . . . . . 190--207
Anonymous Editorial Board . . . . . . . . . . . . IFC
E. Berriochoa Esnaola and
A. Cachafeiro López and
F. Cala Rodríguez and
J. Illán González and
J. M. Rebollido Lorenzo Gauss rules associated with nearly
singular weights . . . . . . . . . . . . 1--10
Fuxing Hu and
Rong Wang and
Xueyong Chen and
Hui Feng An adaptive mesh method for $1$D
hyperbolic conservation laws . . . . . . 11--25
B. Cano and
A. González-Pachón Exponential time integration of solitary
waves of cubic Schrödinger equation . . . 26--45
Quan Zheng and
Xuezheng Li and
Yue Gao Uniformly convergent hybrid schemes for
solutions and derivatives in quasilinear
singularly perturbed BVPs . . . . . . . 46--59
M. I. M. Copetti and
M. Aouadi Analysis of a contact problem in
thermoviscoelasticity under the
Green--Lindsay model . . . . . . . . . . 60--74
Qunyan Zhou and
Dan Hang Nonmonotone adaptive trust region method
with line search based on new diagonal
updating . . . . . . . . . . . . . . . . 75--88
Ghazala Akram and
Christian Beck Hierarchical cascade model leading to
$7$-th order initial value problem . . . 89--97
Yinghong Xu and
Lipu Zhang and
Jing Zhang and
Hua Luo An adaptive updating full-Newton step
interior-point algorithm with modified
Newton direction . . . . . . . . . . . . 98--106
Anonymous Editorial Board . . . . . . . . . . . . IFC
G. Jannoun and
R. Touma and
F. Brock Convergence of two-dimensional staggered
central schemes on unstructured
triangular grids . . . . . . . . . . . . 1--20
K. R. Perline and
B. T. Helenbrook A hybrid level-set/moving-mesh interface
tracking method . . . . . . . . . . . . 21--39
Antoine Durdek and
Stig Rune Jensen and
Jonas Juselius and
Peter Wind and
Tor Flå and
Luca Frediani Adaptive order polynomial algorithm in a
multiwavelet representation scheme . . . 40--53
Ping Liu and
Giovanni Samaey and
C. William Gear and
Ioannis G. Kevrekidis On the acceleration of spatially
distributed agent-based computations: a
patch dynamics scheme . . . . . . . . . 54--69
Songhai Deng and
Zhong Wan A three-term conjugate gradient
algorithm for large-scale unconstrained
optimization problems . . . . . . . . . 70--81
Tian-jun Wang Mixed spectral method for heat transfer
with inhomogeneous Neumann boundary
condition in an infinite strip . . . . . 82--97
Mingxia Huang and
Dingguo Pu Line search SQP method with a flexible
step acceptance procedure . . . . . . . 98--110
N. S. Hoang Functionally-fitted explicit pseudo
two-step Runge--Kutta--Nyström methods 111--131
Anonymous Editorial Board . . . . . . . . . . . . IFC
Yekaterina Epshteyn and
Ivan Sofronov and
Semyon Tsynkov Professor V. S. Ryaben'kii. On the
occasion of the 90-th birthday . . . . . 1--2
E. N. Aristova and
B. V. Rogov Bicompact scheme for the
multidimensional stationary linear
transport equation . . . . . . . . . . . 3--14
G. I. Zmievskaya and
T. A. Averina and
A. L. Bondareva Numerical solution of stochastic
differential equations in the sense of
Stratonovich in an amorphization crystal
lattice model . . . . . . . . . . . . . 15--29
Alina Chertock and
Jian-Guo Liu and
Terrance Pendleton Elastic collisions among peakon
solutions for the Camassa--Holm equation 30--46
A. V. Chikitkin and
B. V. Rogov and
G. A. Tirsky and
S. V. Utyuzhnikov Effect of bulk viscosity in supersonic
flow past spacecraft . . . . . . . . . . 47--60
S. Abarbanel and
A. Ditkowski Wave propagation in advected acoustics
within a non-uniform medium under the
effect of gravity . . . . . . . . . . . 61--68
Yekaterina Epshteyn and
Spencer Phippen High-order difference potentials methods
for $1$D elliptic type models . . . . . 69--86
Jason Albright and
Yekaterina Epshteyn and
Kyle R. Steffen High-order accurate difference
potentials methods for parabolic
problems . . . . . . . . . . . . . . . . 87--106
A. Gulin Stability criteria for non-self-adjoint
finite differences schemes in the
subspace . . . . . . . . . . . . . . . . 107--113
Thomas Hagstrom High-resolution difference methods with
exact evolution for multidimensional
waves . . . . . . . . . . . . . . . . . 114--122
Shumo Cui and
Alexander Kurganov and
Alexei Medovikov Particle methods for PDEs arising in
financial modeling . . . . . . . . . . . 123--139
Larisa Muravleva Uzawa-like methods for numerical
modeling of unsteady viscoplastic
Bingham medium flows . . . . . . . . . . 140--149
A. V. Chikitkin and
B. V. Rogov and
S. V. Utyuzhnikov High-order accurate monotone compact
running scheme for multidimensional
hyperbolic equations . . . . . . . . . . 150--163
M. I. Epov and
E. P. Shurina and
N. V. Shtabel The mathematical modeling of the
electric field in the media with
anisotropic objects . . . . . . . . . . 164--175
Leonid Dovgilovich and
Ivan Sofronov High-accuracy finite-difference schemes
for solving elastodynamic problems in
curvilinear coordinates within
multiblock approach . . . . . . . . . . 176--194
I. L. Sofronov and
L. Dovgilovich and
N. Krasnov Application of transparent boundary
conditions to high-order
finite-difference schemes for the wave
equation in waveguides . . . . . . . . . 195--205
Sergey I. Solov'ëv Finite element approximation with
numerical integration for differential
eigenvalue problems . . . . . . . . . . 206--214
S. Britt and
S. Petropavlovsky and
S. Tsynkov and
E. Turkel Computation of singular solutions to the
Helmholtz equation with high order
accuracy . . . . . . . . . . . . . . . . 215--241
Emmanuel A. Ntumy and
Sergey V. Utyuzhnikov Active sound control in composite
regions . . . . . . . . . . . . . . . . 242--253
V. S. Ryaben'kii and
S. V. Utyuzhnikov An algorithm of the method of difference
potentials for domains with cuts . . . . 254--261
A. A. Abramov and
L. F. Yukhno A method for calculating the Painlevé
transcendents . . . . . . . . . . . . . 262--269
A. I. Zadorin and
S. V. Tikhovskaya and
N. A. Zadorin A two-grid method for elliptic problem
with boundary layers . . . . . . . . . . 270--278
A. Zlotnik and
A. Romanova On a Numerov--Crank--Nicolson--Strang
scheme with discrete transparent
boundary conditions for the Schrödinger
equation on a semi-infinite strip . . . 279--294
Anonymous Editorial Board . . . . . . . . . . . . IFC
Bei Zhang and
Shaochun Chen and
Jikun Zhao Guaranteed a posteriori error estimates
for nonconforming finite element
approximations to a singularly perturbed
reaction-diffusion problem . . . . . . . 1--15
A. Branquinho and
A. Foulquié Moreno and
A. Paiva and
M. N. Rebocho Second-order differential equations in
the Laguerre--Hahn class . . . . . . . . 16--32
Emil Kieri Stiff convergence of force-gradient
operator splitting methods . . . . . . . 33--45
Michael V. Klibanov Carleman estimates for the
regularization of ill-posed Cauchy
problems . . . . . . . . . . . . . . . . 46--74
Joachim Rang An analysis of the Prothero--Robinson
example for constructing new adaptive
ESDIRK methods of order $3$ and $4$ . . 75--87
Maria Lopez-Fernandez and
Stefan Sauter Generalized convolution quadrature with
variable time stepping. Part II:
Algorithm and numerical results . . . . 88--105
S. Falletta and
L. Scuderi A new boundary element integration
strategy for retarded potential boundary
integral equations . . . . . . . . . . . 106--126
M. Bellalij and
L. Reichel and
G. Rodriguez and
H. Sadok Bounding matrix functionals via partial
global block Lanczos decomposition . . . 127--139
Agnieszka Bartlomiejczyk and
Henryk Leszczy\'nski Method of lines for physiologically
structured models with diffusion . . . . 140--148
Riccardo Borghi and
Ernst Joachim Weniger Convergence analysis of the summation of
the factorially divergent Euler series
by Padé approximants and the delta
transformation . . . . . . . . . . . . . 149--178
L. Fermo and
C. Laurita On the numerical solution of a boundary
integral equation for the exterior
Neumann problem on domains with corners 179--200
Xin Lu and
Shu-fang Xu An eigenspace method for computing
derivatives of semi-simple eigenvalues
and corresponding eigenvectors of
quadratic eigenvalue problems . . . . . 201--208
Sébastien Duminil and
Hassane Sadok and
Daniel B. Szyld Nonlinear Schwarz iterations with
reduced rank extrapolation . . . . . . . 209--221
Chunguang Chen and
Harumi Hattori Exact Riemann solvers for conservation
laws with phase change . . . . . . . . . 222--240
A. Abdi and
G. Hojjati Implementation of Nordsieck second
derivative methods for stiff ODEs . . . 241--253
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Raimund Bürger and
Gabriel N. Gatica and
Norbert Heuer and
Rodolfo Rodríguez and
Mauricio Sepúlveda Special Issue: Fourth Chilean Workshop
on Numerical Analysis of Partial
Differential Equations (WONAPDE 2013),
Universidad de Concepción, Chile . . . . 1
Ana Alonso Rodríguez and
Alberto Valli Finite element potentials . . . . . . . 2--14
Markus Aurada and
Michael Feischl and
Thomas Führer and
Michael Karkulik and
Dirk Praetorius Energy norm based error estimators for
adaptive BEM for hypersingular integral
equations . . . . . . . . . . . . . . . 15--35
Ferdinando Auricchio and
Daniele Boffi and
Lucia Gastaldi and
Adrien Lefieux and
Alessandro Reali On a fictitious domain method with
distributed Lagrange multiplier for
interface problems . . . . . . . . . . . 36--50
Markus Bantle and
Stefan Funken Efficient and accurate implementation of
hp-BEM for the Laplace operator in $2$D 51--61
M. Benítez and
A. Bermúdez Pure Lagrangian and semi-Lagrangian
finite element methods for the numerical
solution of Navier--Stokes equations . . 62--81
Yassine Boubendir and
Oscar Bruno and
David Levadoux and
Catalin Turc Integral equations requiring small
numbers of Krylov-subspace iterations
for two-dimensional smooth penetrable
scattering problems . . . . . . . . . . 82--98
Susanne C. Brenner and
Li-Yeng Sung and
Yi Zhang Post-processing procedures for an
elliptic distributed optimal control
problem with pointwise state constraints 99--117
C. Carstensen and
K. Köhler and
D. Peterseim and
M. Schedensack Comparison results for the Stokes
equations . . . . . . . . . . . . . . . 118--129
Nagaiah Chamakuri and
Karl Kunisch and
Gernot Plank Application of optimal control to the
cardiac defibrillation problem using a
physiological model of cellular dynamics 130--139
P. Colli Franzone and
L. F. Pavarino and
S. Scacchi Parallel multilevel solvers for the
cardiac electro-mechanical coupling . . 140--153
S. Diehl Numerical identification of constitutive
functions in scalar nonlinear
convection-diffusion equations with
application to batch sedimentation . . . 154--172
Jie Du and
Chi-Wang Shu and
Mengping Zhang A simple weighted essentially
non-oscillatory limiter for the
correction procedure via reconstruction
(CPR) framework . . . . . . . . . . . . 173--198
Anna Karina Fontes Gomes and
Margarete Oliveira Domingues and
Kai Schneider and
Odim Mendes and
Ralf Deiterding An adaptive multiresolution method for
ideal magnetohydrodynamics using
divergence cleaning with
parabolic-hyperbolic correction . . . . 199--213
Peter Frolkovic and
Karol Mikula and
Jozef Urbán Semi-implicit finite volume level set
method for advective motion of
interfaces in normal direction . . . . . 214--228
Gonzalo Galiano and
Virginia Selgas Deterministic particle method
approximation of a contact inhibition
cross-diffusion problem . . . . . . . . 229--237
Dmitry Kolomenskiy and
Romain Nguyen van yen and
Kai Schneider Analysis and discretization of the
volume penalized Laplace operator with
Neumann boundary conditions . . . . . . 238--249
Karol Mikula and
Róbert Spir and
Michal Smísek and
Emmanuel Faure and
Nadine Peyriéras Nonlinear PDE based numerical methods
for cell tracking in zebrafish
embryogenesis . . . . . . . . . . . . . 250--266
Christian Rohde and
Christoph Zeiler A relaxation Riemann solver for
compressible two-phase flow with phase
transition and surface tension . . . . . 267--279
Ricardo Ruiz-Baier and
Héctor Torres Numerical solution of a multidimensional
sedimentation problem using finite
volume-element methods . . . . . . . . . 280--291
Dong-wook Shin and
Youngmok Jeon and
Eun-Jae Park A hybrid discontinuous Galerkin method
for advection-diffusion-reaction
problems . . . . . . . . . . . . . . . . 292--303
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Samir Karaa and
Amiya K. Pani and
Sangita Yadav A priori hp-estimates for discontinuous
Galerkin approximations to linear
hyperbolic integro-differential
equations . . . . . . . . . . . . . . . 1--23
Dominique Küpper and
Anne Kværnò and
Andreas Rößler Stability analysis and classification of
Runge--Kutta methods for index $1$
stochastic differential-algebraic
equations with scalar noise . . . . . . 24--44
N. Tuncer and
A. Madzvamuse and
A. J. Meir Projected finite elements for
reaction-diffusion systems on stationary
closed surfaces . . . . . . . . . . . . 45--71
R. Andreev and
O. Scherzer and
W. Zulehner Simultaneous optical flow and source
estimation: Space-time discretization
and preconditioning . . . . . . . . . . 72--81
Ron Goldman and
Plamen Simeonov Two essential properties of $ (q,
h)$-Bernstein--Bézier curves . . . . . . 82--93
Arthur A. Mitrano and
Rodrigo B. Platte A numerical study of divergence-free
kernel approximations . . . . . . . . . 94--107
Hans-Goerg Roos and
Ljiljana Teofanov and
Zorica Uzelac Uniformly convergent difference schemes
for a singularly perturbed third order
boundary value problem . . . . . . . . . 108--117
Dingwen Deng The study of a fourth-order multistep
ADI method applied to nonlinear delay
reaction-diffusion equations . . . . . . 118--133
Bouchra Bensiali and
Guillaume Chiavassa and
Jacques Liandrat Penalization of Robin boundary
conditions . . . . . . . . . . . . . . . 134--152
Youngjoon Hong and
Djoko Wirosoetisno Timestepping schemes for the $3$ d
Navier--Stokes equations . . . . . . . . 153--164
Chong Chen and
Xiaoming He and
Jin Huang Mechanical quadrature methods and their
extrapolations for solving the first
kind boundary integral equations of
Stokes equation . . . . . . . . . . . . 165--179
Marsha Berger A note on the stability of cut cells and
cell merging . . . . . . . . . . . . . . 180--186
Daniel X. Guo Modified fully discretized projection
method for the incompressible
Navier--Stokes equations . . . . . . . . 187--202
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Alemdar Hasanov and
Balgaisha Mukanova Fourier collocation algorithm for
identifying the spacewise-dependent
source in the advection--diffusion
equation from boundary data measurements 1--14
Wenting Chen and
Xiang Xu and
Song-Ping Zhu A predictor--corrector approach for
pricing American options under the
finite moment log-stable model . . . . . 15--29
Francesc Ar\`andiga and
José Jaime Noguera Reconstructions that combine
interpolation with least squares fitting 30--41
R. Touma and
C. Klingenberg Well-balanced central finite volume
methods for the Ripa system . . . . . . 42--68
Bernd Kugelmann and
Roland Pulch Existence and uniqueness of optimal
solutions for multirate partial
differential algebraic equations . . . . 69--87
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
E. O'Riordan and
J. Quinn A linearised singularly perturbed
convection-diffusion problem with an
interior layer . . . . . . . . . . . . . 1--17
Jorge Tiago Numerical simulations for the
stabilization and estimation problem of
a semilinear partial differential
equation . . . . . . . . . . . . . . . . 18--37
Xiaojie Wang and
Siqing Gan and
Desheng Wang $ \theta $-Maruyama methods for
nonlinear stochastic differential delay
equations . . . . . . . . . . . . . . . 38--58
Dinh-Liem Nguyen A volume integral equation method for
periodic scattering problems for
anisotropic Maxwell's equations . . . . 59--78
F. X. Sun and
J. F. Wang and
Y. M. Cheng and
A. X. Huang Error estimates for the interpolating
moving least-squares method in
$n$-dimensional space . . . . . . . . . 79--105
Ninoslav Truhar and
Suzana Miodragovi\'c Relative perturbation theory for
definite matrix pairs and hyperbolic
eigenvalue problem . . . . . . . . . . . 106--121
Slimane Adjerid and
Nabil Chaabane An improved superconvergence error
estimate for the LDG method . . . . . . 122--136
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Lyonell Boulton Spectral pollution and eigenvalue bounds 1--23
M. S. Hussein and
D. Lesnic and
M. I. Ivanchov and
H. A. Snitko Multiple time-dependent coefficient
identification thermal problems with a
free boundary . . . . . . . . . . . . . 24--50
F. Guillén-González and
J. R. Rodríguez Galván On the stability of approximations for
the Stokes problem using different
finite element spaces for each component
of the velocity . . . . . . . . . . . . 51--76
Xiaolin Li Error estimates for the moving
least-square approximation and the
element-free Galerkin method in
$n$-dimensional spaces . . . . . . . . . 77--97
Yanlai Chen A certified natural-norm successive
constraint method for parametric inf-sup
lower bounds . . . . . . . . . . . . . . 98--108
Anna Napoli Solutions of linear second order initial
value problems by using Bernoulli
polynomials . . . . . . . . . . . . . . 109--120
Pietro Dell'Acqua and
Claudio Estatico Acceleration of multiplicative iterative
algorithms for image deblurring by
duality maps in Banach spaces . . . . . 121--136
G. Ebadi and
N. Alipour and
C. Vuik Deflated and augmented global Krylov
subspace methods for the matrix
equations . . . . . . . . . . . . . . . 137--150
Harald Garcke and
Michael Hinze and
Christian Kahle A stable and linear time discretization
for a thermodynamically consistent model
for two-phase incompressible flow . . . 151--171
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
S. A. Hosseini and
A. Abdi On the numerical stability of the linear
barycentric rational quadrature method
for Volterra integral equations . . . . 1--13
Christophe De Luigi and
Jérôme Lelong and
Sylvain Maire Robust adaptive numerical integration of
irregular functions with applications to
basket and other multi-dimensional
exotic options . . . . . . . . . . . . . 14--30
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
David P. Nicholls and
Venu Tammali A high-order perturbation of surfaces
(HOPS) approach to Fok's integral
equations: Vector electromagnetic
scattering by periodic crossed gratings 1--17
Alexandru Mihai Bica Initial value problems with retarded
argument solved by iterated quadratic
splines . . . . . . . . . . . . . . . . 18--35
Christian Hendricks and
Matthias Ehrhardt and
Michael Günther High-order ADI schemes for diffusion
equations with mixed derivatives in the
combination technique . . . . . . . . . 36--52
Chokri Chniti and
Sharefa Eisa Ali Alhazmi and
Sami H. Altoum and
Moncef Toujani DtN and NtD surface radiation conditions
for two-dimensional acoustic scattering:
Formal derivation and numerical
validation . . . . . . . . . . . . . . . 53--70
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Stefano Giani and
Luka Grubisi\'c and
Jeffrey S. Ovall Benchmark results for testing adaptive
finite element eigenvalue procedures
part 2 (conforming eigenvector and
eigenvalue estimates) . . . . . . . . . 1--16
Kuan Xu The Chebyshev points of the first kind 17--30
Subhashree Mohapatra and
Akhlaq Husain Least-squares spectral element method
for three dimensional Stoke's equations 31--54
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
M. J. Ruijter and
C. W. Oosterlee Numerical Fourier method and
second-order Taylor scheme for backward
SDEs in finance . . . . . . . . . . . . 1--26
C. Reisinger and
P. A. Forsyth Piecewise constant policy approximations
to Hamilton--Jacobi--Bellman equations 27--47
Farshid Dabaghi and
Adrien Petrov and
Jérôme Pousin and
Yves Renard A robust finite element redistribution
approach for elastodynamic contact
problems . . . . . . . . . . . . . . . . 48--71
Kasra Mohaghegh and
Roland Pulch and
Jan ter Maten Model order reduction using singularly
perturbed systems . . . . . . . . . . . 72--87
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Apostolos Hadjidimos and
Ilias S. Kotsireas and
Dimitrios Noutsos and
Michael N. Vrahatis Preface [Special issue: NumAn 2012] . . 1--2
Andrea Cangiani and
Emmanuil H. Georgoulis and
Max Jensen Discontinuous Galerkin methods for fast
reactive mass transfer through
semi-permeable membranes . . . . . . . . 3--14
Marco Donatelli and
Matteo Molteni and
Vincenzo Pennati and
Stefano Serra-Capizzano Multigrid methods for cubic spline
solution of two point (and $2$D)
boundary value problems . . . . . . . . 15--29
G. V. Kozyrakis and
A. I. Delis and
G. Alexandrakis and
N. A. Kampanis Numerical modeling of sediment transport
applied to coastal morphodynamics . . . 30--46
D. Mantzavinos and
M. G. Papadomanolaki and
Y. G. Saridakis and
A. G. Sifalakis Fokas transform method for a brain tumor
invasion model with heterogeneous
diffusion in $ 1 + 1 $ dimensions . . . 47--61
Panagiotis D. Michailidis and
Konstantinos G. Margaritis Scientific computations on multi-core
systems using different programming
frameworks . . . . . . . . . . . . . . . 62--80
Pandelitsa Panaseti and
Antri Zouvani and
Niall Madden and
Christos Xenophontos A C$^1$-conforming hp finite element
method for fourth order singularly
perturbed boundary value problems . . . 81--97
Georgios D. Akrivis and
Vassilios A. Dougalis and
Efstratios Gallopoulos and
Apostolos Hadjidimos and
Ilias S. Kotsireas and
Dimitrios Noutsos and
Yiannis G. Saridakis and
Michael N. Vrahatis Preface [Special issue: NumAn 2014] . . 99--102
Martin P. Arciga Alejandre and
Francisco J. Ariza Hernandez and
Jorge Sanchez Ortiz Stochastic evolution equation with
Riesz-fractional derivative and white
noise on the half-line . . . . . . . . . 103--109
Chris G. Antonopoulos and
Tassos Bountis and
Lambros Drossos Coupled symplectic maps as models for
subdiffusive processes in disordered
Hamiltonian lattices . . . . . . . . . . 110--119
A. C. L. Ashton and
K. M. Crooks Numerical analysis of Fokas' unified
method for linear elliptic PDEs . . . . 120--132
Wanyok Atisattapong and
Pasin Maruphanton Obviating the bin width effect of the $
1 / t $ algorithm for multidimensional
numerical integration . . . . . . . . . 133--140
Yiming Bu and
Bruno Carpentieri and
Zhaoli Shen and
Ting-Zhu Huang A hybrid recursive multilevel incomplete
factorization preconditioner for solving
general linear systems . . . . . . . . . 141--157
Helen Christodoulidi and
Tassos Bountis and
Lambros Drossos Numerical integration of variational
equations for Hamiltonian systems with
long range interactions . . . . . . . . 158--165
S. González-Pinto and
D. Hernández-Abreu Splitting-methods based on Approximate
Matrix Factorization and Radau-IIA
formulas for the time integration of
advection diffusion reaction PDEs . . . 166--181
A. R. Manapova and
F. V. Lubyshev Numerical solution of optimization
problems for semi-linear elliptic
equations with discontinuous
coefficients and solutions . . . . . . . 182--203
Robert Nürnberg and
Andrea Sacconi A fitted finite element method for the
numerical approximation of void
electro-stress migration . . . . . . . . 204--217
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Chang-tao Sheng and
Zhong-qing Wang and
Ben-yu Guo An $ h p$-spectral collocation method
for nonlinear Volterra functional
integro-differential equations with
delays . . . . . . . . . . . . . . . . . 1--24
Franziska Nestler An NFFT based approach to the efficient
computation of dipole--dipole
interactions under various periodic
boundary conditions . . . . . . . . . . 25--46
Julia Leibinger and
Michael Dumbser and
Uwe Iben and
Isabell Wayand A path-conservative Osher-type scheme
for axially symmetric compressible flows
in flexible visco-elastic tubes . . . . 47--63
Hai Bi and
Hao Li and
Yidu Yang An adaptive algorithm based on the
shifted inverse iteration for the
Steklov eigenvalue problem . . . . . . . 64--81
Haihua Qin and
Xiaodong Liu The linear sampling method for
inhomogeneous medium and buried objects
from far field measurements . . . . . . 82--95
C. Rodrigo and
F. J. Gaspar and
F. J. Lisbona On a local Fourier analysis for
overlapping block smoothers on
triangular grids . . . . . . . . . . . . 96--111
Zhendong Gu and
Xiaojing Guo and
Daochun Sun Series expansion method for weakly
singular Volterra integral equations . . 112--123
Norikazu Saito and
Yoshiki Sugitani and
Guanyu Zhou Unilateral problem for the Stokes
equations: the well-posedness and finite
element approximation . . . . . . . . . 124--147
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
M. Hubenthal and
D. Onofrei Sensitivity analysis for active control
of the Helmholtz equation . . . . . . . 1--23
Alexandra Koulouri and
Ville Rimpiläinen and
Mike Brookes and
Jari P. Kaipio Compensation of domain modelling errors
in the inverse source problem of the
Poisson equation: Application in
electroencephalographic imaging . . . . 24--36
M. A. V. Pinto and
C. Rodrigo and
F. J. Gaspar and
C. W. Oosterlee On the robustness of $ I L U $ smoothers
on triangular grids . . . . . . . . . . 37--52
G. Landi and
E. Loli Piccolomini and
I. Tomba A stopping criterion for iterative
regularization methods . . . . . . . . . 53--68
Valery Sizikov and
Denis Sidorov Generalized quadrature for solving
singular integral equations of Abel type
in application to infrared tomography 69--78
Arun I. and
Murugesan Venkatapathi Analysis of numerical solutions to
Sommerfeld integral relation of the
half-space radiator problem . . . . . . 79--97
Mansur I. Ismailov and
Ibrahim Tekin Inverse coefficient problems for a first
order hyperbolic system . . . . . . . . 98--115
Fikriye Yilmaz and
Aytekin Çibik A projection-based variational
multiscale method for the optimal
control problems governed by the
stationary Navier--Stokes equations . . 116--128
Mahboub Baccouch Analysis of a posteriori error estimates
of the discontinuous Galerkin method for
nonlinear ordinary differential
equations . . . . . . . . . . . . . . . 129--153
K. Jbilou and
A. Messaoudi Block extrapolation methods with
applications . . . . . . . . . . . . . . 154--164
Zhiping Mao and
Sheng Chen and
Jie Shen Efficient and accurate spectral method
using generalized Jacobi functions for
solving Riesz fractional differential
equations . . . . . . . . . . . . . . . 165--181
Peiqi Huang and
Mingchao Cai and
Feng Wang A Newton type linearization based two
grid method for coupling fluid flow with
porous media flow . . . . . . . . . . . 182--198
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
G. Kreiss and
B. Krank and
G. Efraimsson Analysis of stretched grids as buffer
zones in simulations of wave propagation 1--17
Jochen Schütz and
Klaus Kaiser A new stable splitting for singularly
perturbed ODEs . . . . . . . . . . . . . 18--33
Tomoyuki Miyaji and
Pawel Pilarczyk and
Marcio Gameiro and
Hiroshi Kokubu and
Konstantin Mischaikow A study of rigorous ODE integrators for
multi-scale set-oriented computations 34--47
S. Khodayari-Samghabadi and
S. H. Momeni-Masuleh and
A. Malek An explicit-extended penalty Galerkin
method for solving an incompressible
two-phase flow . . . . . . . . . . . . . 48--63
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Sabine Le Borne and
Lusine Shahmuradyan Algorithms for the Haar wavelet based
fast evaluation of aggregation integrals
in population balance equations . . . . 1--20
YuFeng Shi and
Yan Guo A maximum-principle-satisfying finite
volume compact-WENO scheme for traffic
flow model on networks . . . . . . . . . 21--36
Joachim Rang The Prothero and Robinson example:
Convergence studies for Runge--Kutta and
Rosenbrock--Wanner methods . . . . . . . 37--56
Antoine Tambue and
Jean Medard T. Ngnotchouye Weak convergence for a stochastic
exponential integrator and finite
element discretization of stochastic
partial differential equation with
multiplicative & additive noise . . . . . 57--86
John W. Pearson Fast iterative solvers for large matrix
systems arising from time-dependent
Stokes control problems . . . . . . . . 87--101
Sanjib Kumar Acharya and
Ajit Patel Primal hybrid method for parabolic
problems . . . . . . . . . . . . . . . . 102--115
Changfeng Ma and
Na Huang Modified modulus-based matrix splitting
algorithms for a class of weakly
nondifferentiable nonlinear
complementarity problems . . . . . . . . 116--124
Peter Benner and
Matthias Heinkenschloss and
Jens Saak and
Heiko K. Weichelt An inexact low-rank Newton--ADI method
for large-scale algebraic Riccati
equations . . . . . . . . . . . . . . . 125--142
Cong Shi and
Chen Wang and
Ting Wei Convolution regularization method for
backward problems of linear parabolic
equations . . . . . . . . . . . . . . . 143--156
Raul Borsche Numerical schemes for networks of
hyperbolic conservation laws . . . . . . 157--170
Jing An A Legendre--Galerkin spectral
approximation and estimation of the
index of refraction for transmission
eigenvalues . . . . . . . . . . . . . . 171--184
John T. Betts and
Stephen L. Campbell and
Karmethia C. Thompson Solving optimal control problems with
control delays using direct
transcription . . . . . . . . . . . . . 185--203
Igor Boglaev Monotone iterative ADI method for
solving coupled systems of nonlinear
parabolic equations . . . . . . . . . . 204--222
Yifen Ke and
Changfeng Ma A note on ``A dimensional split
preconditioner for Stokes and linearized
Navier--Stokes equations'' . . . . . . . 223--225
Haibing Wang and
Jijun Liu An inverse scattering problem with
generalized oblique derivative boundary
condition . . . . . . . . . . . . . . . 226--241
Leonardo Di G. Sigalotti and
Jaime Klapp and
Otto Rendón and
Carlos A. Vargas and
Franklin Peña-Polo On the kernel and particle consistency
in smoothed particle hydrodynamics . . . 242--255
Veronika Schleper A HLL-type Riemann solver for two-phase
flow with surface forces and phase
transitions . . . . . . . . . . . . . . 256--270
D. S. Kamenetskiy On the relation of the Embedded
Discontinuous Galerkin method to the
stabilized residual-based finite element
methods . . . . . . . . . . . . . . . . 271--285
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
M. Kordy and
E. Cherkaev and
P. Wannamaker Adaptive model order reduction for the
Jacobian calculation in inverse
multi-frequency problem for Maxwell's
equations . . . . . . . . . . . . . . . 1--18
C. F. Bracciali and
A. Sri Ranga and
A. Swaminathan Para-orthogonal polynomials on the unit
circle satisfying three term recurrence
formulas . . . . . . . . . . . . . . . . 19--40
Yali Gao and
Liquan Mei Implicit-explicit multistep methods for
general two-dimensional nonlinear
Schrödinger equations . . . . . . . . . . 41--60
J. B. Collins and
P. A. Gremaud Analysis of a domain decomposition
method for linear transport problems on
networks . . . . . . . . . . . . . . . . 61--72
Po-Hsien Lin and
S.-T. John Yu Hyperbolicity of pressure-velocity
equations for computational hydro
acoustics . . . . . . . . . . . . . . . 73--84
Thomas Wolf and
Heiko K. F. Panzer and
Boris Lohmann ADI iteration for Lyapunov equations: a
tangential approach and adaptive shift
selection . . . . . . . . . . . . . . . 85--95
Jingjun Zhao and
Rui Zhan and
Alexander Ostermann Stability analysis of explicit
exponential integrators for delay
differential equations . . . . . . . . . 96--108
Matthias Schlottbom Error analysis of a diffuse interface
method for elliptic problems with
Dirichlet boundary conditions . . . . . 109--122
Philipp Bader and
David I. McLaren and
G. R. W. Quispel and
Marcus Webb Volume preservation by Runge--Kutta
methods . . . . . . . . . . . . . . . . 123--137
Wei-ping Shen and
Chong Li and
Xiao-qing Jin and
Jen-chih Yao Newton-type methods for inverse singular
value problems with multiple singular
values . . . . . . . . . . . . . . . . . 138--156
M. I. M. Copetti and
M. Aouadi A quasi-static contact problem in
thermoviscoelastic diffusion theory . . 157--183
María G. Armentano and
Verónica Moreno Interpolation in Jacobi-weighted spaces
and its application to a posteriori
error estimations of the $p$-version of
the finite element method . . . . . . . 184--207
Mehdi Dehghan and
Mostafa Abbaszadeh Analysis of the element free Galerkin
(EFG) method for solving fractional
cable equation with Dirichlet boundary
condition . . . . . . . . . . . . . . . 208--234
Y. Mesri and
M. Khalloufi and
E. Hachem On optimal simplicial $3$D meshes for
minimizing the Hessian-based errors . . 235--249
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Franco Dassi and
Luca Formaggia and
Stefano Zonca Degenerate tetrahedra removal . . . . . 1--13
Changbum Chun and
Beny Neta The basins of attraction of Murakami's
fifth order family of methods . . . . . 14--25
John D. Towers A fixed grid, shifted stencil scheme for
inviscid fluid-particle interaction . . 26--40
Francesco Fambri and
Michael Dumbser Spectral semi-implicit and space--time
discontinuous Galerkin methods for the
incompressible Navier--Stokes equations
on staggered Cartesian grids . . . . . . 41--74
V. Nijimbere and
L. J. Campbell A nonlinear time-dependent radiation
condition for simulations of internal
gravity waves in geophysical fluid flows 75--92
Sebastian Franz Analysis of a family of
continuous-discontinuous Galerkin FEM
for convection-diffusion problems . . . 93--109
Haiyun Dong and
Maojun Li A reconstructed central discontinuous
Galerkin-finite element method for the
fully nonlinear weakly dispersive
Green-Naghdi model . . . . . . . . . . . 110--127
Alexandru Mihai Bica and
Mircea Curila and
Sorin Curila Two-point boundary value problems
associated to functional differential
equations of even order solved by
iterated splines . . . . . . . . . . . . 128--147
Tamara Kogan and
Luba Sapir and
Amir Sapir and
Ariel Sapir The Fibonacci family of iterative
processes for solving nonlinear
equations . . . . . . . . . . . . . . . 148--158
Mohan K. Kadalbajoo and
Alpesh Kumar and
Lok Pati Tripathi A radial basis function based
implicit-explicit method for option
pricing under jump-diffusion models . . 159--173
Jueyu Wang and
Detong Zhu The inexact-Newton via GMRES subspace
method without line search technique for
solving symmetric nonlinear equations 174--189
Michael V. Klibanov and
Loc H. Nguyen and
Kejia Pan Nanostructures imaging via numerical
solution of a $3$-D inverse scattering
problem without the phase information 190--203
Arvet Pedas and
Enn Tamme and
Mikk Vikerpuur Spline collocation for fractional weakly
singular integro-differential equations 204--214
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Quan Zheng and
Xin Zhao and
Yufeng Liu A novel finite difference scheme for
Burgers' equation on unbounded domains 1--16
Martin Bourne and
Joab R. Winkler and
Su Yi The computation of the degree of an
approximate greatest common divisor of
two Bernstein polynomials . . . . . . . 17--35
Yubo Yang and
Peng Zhu Discontinuous Galerkin methods with
interior penalties on graded meshes for
$2$D singularly perturbed
convection-diffusion problems . . . . . 36--48
Alemdar Hasanov and
Balgaisha Mukanova Fourier Collocation Algorithm for
identification of a spacewise dependent
source in wave equation from
Neumann-type measured data . . . . . . . 49--63
Jason Albright and
Yekaterina Epshteyn and
Michael Medvinsky and
Qing Xia High-order numerical schemes based on
difference potentials for $2$D elliptic
problems with material interfaces . . . 64--91
Ji-Feng Bao and
Chong Li and
Wei-Ping Shen and
Jen-Chih Yao and
Sy-Ming Guu Approximate Gauss--Newton methods for
solving underdetermined nonlinear least
squares problems . . . . . . . . . . . . 92--110
U. Fidalgo Convergent interpolatory quadrature
schemes . . . . . . . . . . . . . . . . 111--143
Zheng Ma and
Yong Zhang and
Zhennan Zhou An improved semi-Lagrangian time
splitting spectral method for the
semi-classical Schrödinger equation with
vector potentials using NUFFT . . . . . 144--159
Liangliang Sun and
Ting Wei Identification of the zeroth-order
coefficient in a time fractional
diffusion equation . . . . . . . . . . . 160--180
Maryam Kamranian and
Mehdi Dehghan and
Mehdi Tatari An adaptive meshless local
Petrov--Galerkin method based on a
posteriori error estimation for the
boundary layer problems . . . . . . . . 181--196
A. H. Bhrawy and
M. A. Zaky An improved collocation method for
multi-dimensional space--time
variable-order fractional Schrödinger
equations . . . . . . . . . . . . . . . 197--218
F. Guillén-González and
M. V. Redondo-Neble Convergence and error estimates of
viscosity-splitting finite-element
schemes for the primitive equations . . 219--245
Heping Ma and
Yonghui Qin and
Qiuli Ou Multidomain Legendre--Galerkin
Chebyshev-collocation method for
one-dimensional evolution equations with
discontinuity . . . . . . . . . . . . . 246--259
G. Yu. Kulikov and
M. V. Kulikova Accurate cubature and extended Kalman
filtering methods for estimating
continuous-time nonlinear stochastic
systems with discrete measurements . . . 260--275
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Zhongqiang Zhang and
Heping Ma Order-preserving strong schemes for SDEs
with locally Lipschitz coefficients . . 1--16
Laura Gori and
Francesca Pitolli Totally positive refinable functions
with general dilation $M$ . . . . . . . 17--26
Jingyang Guo and
Jae-Hun Jung A RBF--WENO finite volume method for
hyperbolic conservation laws with the
monotone polynomial interpolation method 27--50
J. B. Francisco and
F. S. Viloche Bazán and
M. Weber Mendonça Non-monotone algorithm for minimization
on arbitrary domains with applications
to large-scale orthogonal Procrustes
problem . . . . . . . . . . . . . . . . 51--64
Qiangqiang Zhu and
Zhen Gao and
Wai Sun Don and
Xianqing Lv Well-balanced hybrid compact-WENO scheme
for shallow water equations . . . . . . 65--78
A. Shoja and
A. R. Vahidi and
E. Babolian A spectral iterative method for solving
nonlinear singular Volterra integral
equations of Abel type . . . . . . . . . 79--90
Vu Thai Luan Fourth-order two-stage explicit
exponential integrators for
time-dependent PDEs . . . . . . . . . . 91--103
V. Baron and
Y. Coudi\`ere and
P. Sochala Adaptive multistep time discretization
and linearization based on a posteriori
error estimates for the Richards
equation . . . . . . . . . . . . . . . . 104--125
Yanyan Yu and
Weihua Deng and
Yujiang Wu and
Jing Wu Third order difference schemes (without
using points outside of the domain) for
one sided space tempered fractional
partial differential equations . . . . . 126--145
Veselina K. Kyncheva and
Viktor V. Yotov and
Stoil I. Ivanov Convergence of Newton, Halley and
Chebyshev iterative methods as methods
for simultaneous determination of
multiple polynomial zeros . . . . . . . 146--154
Nélio Henderson and
Marroni de Sá Rêgo and
Janaína Imbiriba Topographical global initialization for
finding all solutions of nonlinear
systems with constraints . . . . . . . . 155--166
Rong An and
Yuan Li Error analysis of first-order projection
method for time-dependent
magnetohydrodynamics equations . . . . . 167--181
Kamana Porwal Discontinuous Galerkin methods for a
contact problem with Tresca friction
arising in linear elasticity . . . . . . 182--202
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Kareem T. Elgindy High-order, stable, and efficient
pseudospectral method using barycentric
Gegenbauer quadratures . . . . . . . . . 1--25
Sarah W. Gaaf and
Valeria Simoncini Approximating the leading singular
triplets of a large matrix function . . 26--43
Hassan Majidian On the decay rate of Chebyshev
coefficients . . . . . . . . . . . . . . 44--53
Jiyong Li and
Xianfen Wang Multi-step Runge--Kutta--Nyström methods
for special second-order initial value
problems . . . . . . . . . . . . . . . . 54--70
Giuseppe Izzo and
Zdzislaw Jackiewicz Highly stable implicit-explicit
Runge--Kutta methods . . . . . . . . . . 71--92
Alberto Crivellaro and
Simona Perotto and
Stefano Zonca Reconstruction of $3$D scattered data
via radial basis functions by efficient
and robust techniques . . . . . . . . . 93--108
Jinbiao Wu and
Hui Zheng Uniform convergence of multigrid methods
for adaptive meshes . . . . . . . . . . 109--123
Mahboub Baccouch Superconvergence of the local
discontinuous Galerkin method for the
sine-Gordon equation on Cartesian grids 124--155
Zewen Wang and
Shufang Qiu A numerical approximation of the
two-dimensional elastic wave scattering
problem via integral equation method . . 156--167
Kavita Goyal and
Mani Mehra An adaptive meshfree spectral graph
wavelet method for partial differential
equations . . . . . . . . . . . . . . . 168--185
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Teresa Diogo and
Neville Ford and
Zdzislaw Jackiewicz and
Pedro Lima and
Luisa Morgado and
Magda Rebelo Preface . . . . . . . . . . . . . . . . 1--1
Sonia Seyed Allaei and
Teresa Diogo and
Magda Rebelo Analytical and computational methods for
a class of nonlinear singular integral
equations . . . . . . . . . . . . . . . 2--17
A. Cardone and
R. D'Ambrosio and
B. Paternoster High order exponentially fitted methods
for Volterra integral equations with
periodic solution . . . . . . . . . . . 18--29
Dajana Conte and
Beatrice Paternoster Parallel methods for weakly singular
Volterra integral equations on GPUs . . 30--37
L. Grammont and
H. Kaboul and
M. Ahues A product integration type method for
solving nonlinear integral equations in
$ L^1 $ . . . . . . . . . . . . . . . . 38--46
Filomena D. d' Almeida and
Rosário Fernandes Projection methods based on grids for
weakly singular integral equations . . . 47--54
Paulo B. Vasconcelos Data-sparse approximation on the
computation of a weakly singular
Fredholm equation: a stellar radiative
transfer application . . . . . . . . . . 55--62
T. Diogo and
P. M. Lima and
A. Pedas and
G. Vainikko Smoothing transformation and spline
collocation for weakly singular Volterra
integro-differential equations . . . . . 63--76
Jana Burkotová and
Irena Rachunková and
Ewa B. Weinmüller On singular BVPs with nonsmooth data:
Analysis of the linear case with
variable coefficient matrix . . . . . . 77--96
P. M. Lima and
M. L. Morgado and
M. Schöbinger and
E. B. Weinmüller A novel computational approach to
singular free boundary problems in
ordinary differential equations . . . . 97--107
Maria Luísa Morgado and
Magda Rebelo and
Luis L. Ferrás and
Neville J. Ford Numerical solution for diffusion
equations with distributed order in time
using a Chebyshev collocation method . . 108--123
Hitoshi Mahara and
Koshiro Mizobe and
Katsuyuki Kida and
Kazuaki Nakane Image analyzing method to detect vague
boundaries by using reaction--diffusion
system . . . . . . . . . . . . . . . . . 124--131
Maria Carmela De Bonis and
Donatella Occorsio On the simultaneous approximation of a
Hilbert transform and its derivatives on
the real semiaxis . . . . . . . . . . . 132--153
J. A. Roberts and
A. Al Themairi Introducing delay dynamics to
Bertalanffy's spherical tumour growth
model . . . . . . . . . . . . . . . . . 154--164
Giuseppe Izzo and
Zdzislaw Jackiewicz Generalized linear multistep methods for
ordinary differential equations . . . . 165--178
S. McKee and
Jose A. Cuminato A novel variant of a product integration
method and its relation to discrete
fractional calculus . . . . . . . . . . 179--187
Somayeh Gh. Bardeji and
Isabel N. Figueiredo and
Ercília Sousa Optical flow with fractional order
regularization: Variational model and
solution method . . . . . . . . . . . . 188--200
Zhiqiang Li and
Yubin Yan and
Neville J. Ford Error estimates of a high order
numerical method for solving linear
fractional differential equations . . . 201--220
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Sadegh Amiri and
S. Mohammad Hosseini Stochastic Runge--Kutta Rosenbrock type
methods for SDE systems . . . . . . . . 1--15
Wenjie Shi and
Chengjian Zhang Generalized polynomial chaos for
nonlinear random delay differential
equations . . . . . . . . . . . . . . . 16--31
Yunying Zheng and
Zhengang Zhao The discontinuous Galerkin finite
element method for fractional cable
equation . . . . . . . . . . . . . . . . 32--41
Guanyu Zhou The fictitious domain method with
penalty for the parabolic problem in
moving-boundary domain: the error
estimate of penalty and the finite
element approximation . . . . . . . . . 42--67
Wen Li and
Guohui Song and
Guangming Yao Piece-wise moving least squares
approximation . . . . . . . . . . . . . 68--81
K. Maleknejad and
A. Ostadi Numerical solution of system of Volterra
integral equations with weakly singular
kernels and its convergence analysis . . 82--98
Oleg V. Motygin Numerical approximation of oscillatory
integrals of the linear ship wave theory 99--113
Charles Puelz and
Suncica Cani\'c and
Béatrice Rivi\`ere and
Craig G. Rusin Comparison of reduced models for blood
flow using Runge--Kutta discontinuous
Galerkin methods . . . . . . . . . . . . 114--141
Bhupen Deka A priori $ L^\infty (L^2) $ error
estimates for finite element
approximations to the wave equation with
interface . . . . . . . . . . . . . . . 142--159
Mahboub Baccouch Superconvergence of the discontinuous
Galerkin method for nonlinear
second-order initial-value problems for
ordinary differential equations . . . . 160--179
Huanhuan Yang and
Alessandro Veneziani Efficient estimation of cardiac
conductivities via POD--DEIM model order
reduction . . . . . . . . . . . . . . . 180--199
Yanmei Liu and
Yubin Yan and
Monzorul Khan Discontinuous Galerkin time stepping
method for solving linear space
fractional partial differential
equations . . . . . . . . . . . . . . . 200--213
Cui Li and
Chengjian Zhang Block boundary value methods applied to
functional differential equations with
piecewise continuous arguments . . . . . 214--224
Ioannis K. Argyros and
Ramandeep Behl and
S. S. Motsa Unifying semilocal and local convergence
of Newton's method on Banach space with
a convergence structure . . . . . . . . 225--234
Qian Guo and
Wei Liu and
Xuerong Mao and
Rongxian Yue The partially truncated Euler--Maruyama
method and its stability and boundedness 235--251
Jamal Amani Rad and
Kourosh Parand Numerical pricing of American options
under two stochastic factor models with
jumps using a meshless local
Petrov--Galerkin method . . . . . . . . 252--274
G. V. Kozyrakis and
A. I. Delis and
N. A. Kampanis A finite difference solver for
incompressible Navier--Stokes flows in
complex domains . . . . . . . . . . . . 275--298
Carlos J. S. Alves and
Nuno F. M. Martins and
Svilen S. Valtchev Extending the method of fundamental
solutions to non-homogeneous elastic
wave problems . . . . . . . . . . . . . 299--313
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Francesco Dell'Accio and
Maria Italia Gualtieri and
Stefano Serra Capizzano and
Gerhard Wanner Special issue on New Trends in Numerical
Analysis: Theory, Methods, Algorithms
and Applications (NETNA2015) . . . . . . 1--1
Lidia Aceto and
Helmut Robert Malonek and
Graça Tomaz Matrix approach to hypercomplex Appell
polynomials . . . . . . . . . . . . . . 2--9
A. Aimi and
M. Diligenti and
M. L. Sampoli and
A. Sestini Non-polynomial spline alternatives in
Isogeometric Symmetric Galerkin BEM . . 10--23
D. A. Bini and
G. Latouche and
B. Meini Shift techniques for Quasi-Birth and
Death processes: Canonical
factorizations and matrix equations . . 24--36
Dario A. Bini and
Stefano Massei and
Leonardo Robol Efficient cyclic reduction for
Quasi-Birth--Death problems with rank
structured blocks . . . . . . . . . . . 37--46
L. Bos and
S. De Marchi and
M. Vianello Polynomial approximation on Lissajous
curves in the $d$-cube . . . . . . . . . 47--56
Claude Brezinski and
Michela Redivo-Zaglia Shanks function transformations in a
vector space . . . . . . . . . . . . . . 57--63
Alessandro Buccini Regularizing preconditioners by
non-stationary iterated Tikhonov with
general penalty term . . . . . . . . . . 64--81
Kevin Burrage and
Angelamaria Cardone and
Raffaele D'Ambrosio and
Beatrice Paternoster Numerical solution of time fractional
diffusion systems . . . . . . . . . . . 82--94
R. Cavoretto and
S. De Marchi and
A. De Rossi and
E. Perracchione and
G. Santin Partition of unity interpolation using
stable kernel-based techniques . . . . . 95--107
Emiliano Cirillo and
Kai Hormann and
Jean Sidon Convergence rates of derivatives of
Floater--Hormann interpolants for
well-spaced nodes . . . . . . . . . . . 108--118
Costanza Conti and
Mariantonia Cotronei and
Tomas Sauer Convergence of level-dependent Hermite
subdivision schemes . . . . . . . . . . 119--128
Francesco A. Costabile and
Anna Napoli A class of
Birkhoff--Lagrange-collocation methods
for high order boundary value problems 129--140
Pierfranco Costabile and
Carmelina Costanzo and
Francesco Macchione Performances and limitations of the
diffusive approximation of the $2$-d
shallow water equations for flood
simulation in urban and rural areas . . 141--156
Salvatore Cuomo and
Ardelio Galletti and
Giulio Giunta and
Livia Marcellino Reconstruction of implicit curves and
surfaces via RBF interpolation . . . . . 157--171
Oleg Davydov and
Abid Saeed $ C^1 $ quintic splines on domains
enclosed by piecewise conics and
numerical solution of fully nonlinear
elliptic equations . . . . . . . . . . . 172--183
Maria Carmela De Bonis and
Donatella Occorsio Approximation of Hilbert and Hadamard
transforms on $ (0, + \infty) $ . . . . 184--194
L. Fermo and
C. van der Mee and
S. Seatzu Scattering data computation for the
Zakharov--Shabat system with non-smooth
potentials . . . . . . . . . . . . . . . 195--203
Teresa Laudadio and
Nicola Mastronardi and
Paul Van Dooren Numerical issues in computing the
antitriangular factorization of
symmetric indefinite matrices . . . . . 204--214
Concetta Laurita A numerical method for the solution of
integral equations of Mellin type . . . 215--229
Eleonora Messina and
Antonia Vecchio Stability and boundedness of numerical
approximations to Volterra integral
equations . . . . . . . . . . . . . . . 230--237
Gradimir V. Milovanovi\'c Generalized weighted Birkhoff--Young
quadratures with the maximal degree of
exactness . . . . . . . . . . . . . . . 238--255
Federica Porta and
Anastasia Cornelio and
Valeria Ruggiero Runge--Kutta-like scaling techniques for
first-order methods in convex
optimization . . . . . . . . . . . . . . 256--272
Fabio Roman and
Carla Manni and
Hendrik Speleers Numerical approximation of GB-splines by
a convolutional approach . . . . . . . . 273--285
Woula Themistoclakis Some error bounds for Gauss--Jacobi
quadrature rules . . . . . . . . . . . . 286--293
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Yueqiang Shang and
Jin Qin Parallel finite element variational
multiscale algorithms for incompressible
flow at high Reynolds numbers . . . . . 1--21
Darae Jeong and
Junseok Kim Phase-field model and its splitting
numerical scheme for tissue growth . . . 22--35
Jehanzeb H. Chaudhry and
J. B. Collins and
John N. Shadid A posteriori error estimation for
multi-stage Runge--Kutta IMEX schemes 36--49
Wansheng Wang Fully-geometric mesh one-leg methods for
the generalized pantograph equation:
Approximating Lyapunov functional and
asymptotic contractivity . . . . . . . . 50--68
John C. Butcher and
Raffaele D'Ambrosio Partitioned general linear methods for
separable Hamiltonian problems . . . . . 69--86
Hassan Majidian Filon--Clenshaw--Curtis formulas for
highly oscillatory integrals in the
presence of stationary points . . . . . 87--102
Jingjun Zhao and
Yan Fan and
Yang Xu Delay-dependent stability of symmetric
Runge--Kutta methods for second order
delay differential equations with three
parameters . . . . . . . . . . . . . . . 103--114
G. Colldeforns-Papiol and
L. Ortiz-Gracia and
C. W. Oosterlee Two-dimensional Shannon wavelet inverse
Fourier technique for pricing European
options . . . . . . . . . . . . . . . . 115--138
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Qingtang Jiang and
Dale K. Pounds Highly symmetric $ \sqrt {3}$-refinement
Bi-frames for surface multiresolution
processing . . . . . . . . . . . . . . . 1--18
Wenting Shao and
Xionghua Wu and
Cheng Wang Numerical study of an adaptive domain
decomposition algorithm based on
Chebyshev tau method for solving
singular perturbed problems . . . . . . 19--32
Yasmina Daikh and
Driss Yakoubi Spectral discretization of the
Navier--Stokes problem with mixed
boundary conditions . . . . . . . . . . 33--49
M. Ableidinger and
E. Buckwar Weak stochastic Runge--Kutta
Munthe--Kaas methods for finite spin
ensembles . . . . . . . . . . . . . . . 50--63
I. Alonso-Mallo and
B. Cano and
N. Reguera Analysis of order reduction when
integrating linear initial boundary
value problems with Lawson methods . . . 64--74
Pengzhan Huang An efficient two-level finite element
algorithm for the natural convection
equations . . . . . . . . . . . . . . . 75--86
S. Magura and
S. Petropavlovsky and
S. Tsynkov and
E. Turkel High-order numerical solution of the
Helmholtz equation for domains with
reentrant corners . . . . . . . . . . . 87--116
Chokri Chniti Optimized interface conditions in domain
decomposition methods to solve
reaction-diffusion problems with strong
heterogeneity in the coefficients in a
sectorial domain . . . . . . . . . . . . 117--130
Meng Li and
Chengming Huang and
Nan Wang Galerkin finite element method for the
nonlinear fractional Ginzburg--Landau
equation . . . . . . . . . . . . . . . . 131--149
David A. Brown and
David W. Zingg Design and evaluation of homotopies for
efficient and robust continuation . . . 150--181
Hugh A. Carson and
David L. Darmofal and
Marshall C. Galbraith and
Steven R. Allmaras Analysis of output-based error
estimation for finite element methods 182--202
M. Saedshoar Heris and
M. Javidi On fractional backward differential
formulas for fractional delay
differential equations with periodic and
anti-periodic conditions . . . . . . . . 203--220
Behnam Soleimani and
Oswald Knoth and
Rüdiger Weiner IMEX peer methods for
fast-wave-slow-wave problems . . . . . . 221--237
Gabriel R. Barrenechea and
Petr Knobloch Analysis of a group finite element
formulation . . . . . . . . . . . . . . 238--248
A. S. Fatemion Aghda and
Seyed Mohammad Hosseini and
Mahdieh Tahmasebi Analysis of non-negativity and
convergence of solution of the balanced
implicit method for the delay
Cox--Ingersoll--Ross model . . . . . . . 249--265
V. G. Pimenov and
A. S. Hendy BDF-type shifted Chebyshev approximation
scheme for fractional functional
differential equations with delay and
its error analysis . . . . . . . . . . . 266--276
Hongchao Kang and
Junjie Ma Quadrature rules and asymptotic
expansions for two classes of
oscillatory Bessel integrals with
singularities of algebraic or
logarithmic type . . . . . . . . . . . . 277--291
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Haibiao Zheng and
Jiaping Yu and
Li Shan Unconditional error estimates for time
dependent viscoelastic fluid flow . . . 1--17
Wei Jiang and
Na Liu A numerical method for solving the time
variable fractional order
mobile-immobile advection-dispersion
model . . . . . . . . . . . . . . . . . 18--32
M. Król and
M. V. Kutniv and
O. I. Pazdriy Difference schemes for systems of second
order nonlinear ODEs on a semi-infinite
interval . . . . . . . . . . . . . . . . 33--50
Mehdi Dehghan and
Mostafa Abbaszadeh Spectral element technique for nonlinear
fractional evolution equation, stability
and convergence analysis . . . . . . . . 51--66
Osman Rasit Isik and
Aziz Takhirov and
Haibiao Zheng Second order time relaxation model for
accelerating convergence to steady-state
equilibrium for Navier--Stokes equations 67--78
I. Th. Famelis and
Z. Jackiewicz A new approach to the construction of
DIMSIMs of high order and stage order 79--93
Michal Bra\'s and
Angelamaria Cardone and
Zdzislaw Jackiewicz and
Bruno Welfert Order reduction phenomenon for general
linear methods . . . . . . . . . . . . . 94--114
Zhengjie Sun and
Wenwu Gao A meshless scheme for Hamiltonian
partial differential equations with
conservation properties . . . . . . . . 115--125
Zi-Cai Li and
Ming-Gong Lee and
Hung-Tsai Huang and
John Y. Chiang Neumann problems of $2$D Laplace's
equation by method of fundamental
solutions . . . . . . . . . . . . . . . 126--145
Zhengguang Liu and
Aijie Cheng and
Xiaoli Li and
Hong Wang A fast solution technique for finite
element discretization of the
space--time fractional diffusion
equation . . . . . . . . . . . . . . . . 146--163
Bin Wang and
Fanwei Meng and
Yonglei Fang Efficient implementation of RKN-type
Fourier collocation methods for
second-order differential equations . . 164--178
Cheng Zhang and
Hui Wang and
Jingfang Huang and
Cheng Wang and
Xingye Yue A second order operator splitting
numerical scheme for the ``good''
Boussinesq equation . . . . . . . . . . 179--193
Feng Liao and
Luming Zhang and
Shanshan Wang Numerical analysis of cubic orthogonal
spline collocation methods for the
coupled Schrödinger--Boussinesq equations 194--212
Zhongying Chen and
Yuesheng Xu and
Jiehua Zhang A second-order hybrid finite volume
method for solving the Stokes equation 213--224
Saifon Chaturantabut Temporal localized nonlinear model
reduction with a priori error estimate 225--238
Giovanni Capobianco and
Dajana Conte and
Beatrice Paternoster Construction and implementation of
two-step continuous methods for Volterra
integral equations . . . . . . . . . . . 239--247
C. Laurita A numerical method for the solution of
exterior Neumann problems for the
Laplace equation in domains with corners 248--270
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Kazuho Ito An error estimate for an energy
conserving spectral scheme approximating
the dynamic elastica with free ends . . 1--20
Mariantonia Cotronei and
Nada Sissouno A note on Hermite multiwavelets with
polynomial and exponential vanishing
moments . . . . . . . . . . . . . . . . 21--34
Peyman Hessari and
Byeong-Chun Shin First order system least squares
pseudo-spectral method for Stokes--Darcy
equations . . . . . . . . . . . . . . . 35--52
Yuan-Ming Wang Error analysis of a compact finite
difference method for fourth-order
nonlinear elliptic boundary value
problems . . . . . . . . . . . . . . . . 53--67
Jialin Hong and
Lihai Ji and
Linghua Kong and
Tingchun Wang Optimal error estimate of a compact
scheme for nonlinear Schrödinger equation 68--81
Xin-He Miao and
Jian-Tao Yang and
B. Saheya and
Jein-Shan Chen A smoothing Newton method for absolute
value equation associated with
second-order cone . . . . . . . . . . . 82--96
Hailong Qiu and
Rong An and
Liquan Mei and
Changfeng Xue Two-step algorithms for the stationary
incompressible Navier--Stokes equations
with friction boundary conditions . . . 97--114
Ivan Sofronov Truncated transparent boundary
conditions for second order hyperbolic
systems . . . . . . . . . . . . . . . . 115--124
J. A. Ferreira and
D. Jordão and
L. Pinto Second order approximations for kinetic
and potential energies in Maxwell's wave
equations . . . . . . . . . . . . . . . 125--140
Thinh Kieu A mixed finite element approximation for
Darcy--Forchheimer flows of slightly
compressible fluids . . . . . . . . . . 141--164
G. Califano and
G. Izzo and
Z. Jackiewicz Starting procedures for general linear
methods . . . . . . . . . . . . . . . . 165--175
Aleksandr E. Kolesov and
Michael V. Klibanov and
Loc H. Nguyen and
Dinh-Liem Nguyen and
Nguyen T. Th\`anh Single measurement experimental data for
an inverse medium problem inverted by a
multi-frequency globally convergent
numerical method . . . . . . . . . . . . 176--196
Hossein Beyrami and
Taher Lotfi and
Katayoun Mahdiani Stability and error analysis of the
reproducing kernel Hilbert space method
for the solution of weakly singular
Volterra integral equation on graded
mesh . . . . . . . . . . . . . . . . . . 197--214
Zhiping Yan and
Aiguo Xiao and
Xiao Tang Strong convergence of the split-step
theta method for neutral stochastic
delay differential equations . . . . . . 215--232
Helena Zarin Exponentially graded mesh for a
singularly perturbed problem with two
small parameters . . . . . . . . . . . . 233--242
Tian-jun Wang and
Yu-jian Jiao A fully discrete pseudospectral method
for Fisher's equation on the whole line 243--256
Mário Basto and
Teresa Abreu and
Viriato Semiao and
Francisco L. Calheiros Convergence and dynamics of structurally
identical root finding methods . . . . . 257--269
Cem Çelik and
Melda Duman Finite element method for a symmetric
tempered fractional diffusion equation 270--286
Ajit Patel and
Sanjib Kumar Acharya and
Amiya Kumar Pani Stabilized Lagrange multiplier method
for elliptic and parabolic interface
problems . . . . . . . . . . . . . . . . 287--304
K. Van Bockstal and
M. Slodicka and
F. Gistelinck Identification of a memory kernel in a
nonlinear integrodifferential parabolic
problem . . . . . . . . . . . . . . . . 305--323
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
K. Sisková and
M. Slodicka Recognition of a time-dependent source
in a time-fractional wave equation . . . 1--17
Mahboub Baccouch A posteriori error estimates and
adaptivity for the discontinuous
Galerkin solutions of nonlinear
second-order initial-value problems . . 18--37
Andrea Barth and
Franz G. Fuchs Uncertainty quantification for linear
hyperbolic equations with stochastic
process or random field coefficients . . 38--51
P. Mokhtary Numerical analysis of an operational
Jacobi Tau method for fractional weakly
singular integro-differential equations 52--67
Lars Grüne and
Thuy T. T. Le A double-sided dynamic programming
approach to the minimum time problem and
its numerical approximation . . . . . . 68--81
Fanhai Zeng and
Changpin Li A new Crank--Nicolson finite element
method for the time-fractional
subdiffusion equation . . . . . . . . . 82--95
Armin Westerkamp and
Manuel Torrilhon Curvature-induced instability of a
Stokes-like problem with non-standard
boundary conditions . . . . . . . . . . 96--114
Asma Toumi and
Guillaume Dufour and
Ronan Perrussel and
Thomas Unfer Second order accurate asynchronous
scheme for modeling linear partial
differential equations . . . . . . . . . 115--133
Ömür Kivanç Kürkçü and
Ersin Aslan and
Mehmet Sezer A numerical method for solving some
model problems arising in science and
convergence analysis based on residual
function . . . . . . . . . . . . . . . . 134--148
A. I. Ávila and
A. Meister and
M. Steigemann An adaptive Galerkin method for the
time-dependent complex Schrödinger
equation . . . . . . . . . . . . . . . . 149--169
Peng Zhu and
Shenglan Xie and
Xiaoshen Wang Nonsmooth data error estimates for FEM
approximations of the time fractional
cable equation . . . . . . . . . . . . . 170--184
Xuenan Sun and
Xuezhang Liang Fast and exact $ 2 d $ image
reconstruction based on Hakopian
interpolation . . . . . . . . . . . . . 185--197
Michal Benes Convergence and stability analysis of
heterogeneous time step coupling schemes
for parabolic problems . . . . . . . . . 198--222
Jianchao Bai and
Jicheng Li and
Pingfan Dai Novel alternating update method for low
rank approximation of structured
matrices . . . . . . . . . . . . . . . . 223--233
Z. Jackiewicz and
H. Mittelmann Construction of IMEX DIMSIMs of high
order and stage order . . . . . . . . . 234--248
Maranda Bean and
Konstantin Lipnikov and
Son-Young Yi A block-diagonal preconditioner for a
four-field mixed finite element method
for Biot's equations . . . . . . . . . . 1--13
S. Bauer and
M. Mohr and
U. Rüde and
J. Weismüller and
M. Wittmann and
B. Wohlmuth A two-scale approach for efficient
on-the-fly operator assembly in
massively parallel high performance
multigrid codes . . . . . . . . . . . . 14--38
Michael Hofmann and
Franziska Nestler and
Michael Pippig NFFT based Ewald summation for
electrostatic systems with charges and
dipoles . . . . . . . . . . . . . . . . 39--65
Parisa Rahimkhani and
Yadollah Ordokhani and
Esmail Babolian Fractional-order Bernoulli functions and
their applications in solving fractional
Fredholm--Volterra integro-differential
equations . . . . . . . . . . . . . . . 66--81
József Vass and
Sergey N. Krylov A fast stable discretization of the
Constant-Convection--Diffusion-Reaction
equations of Kinetic Capillary
Electrophoresis (KCE) . . . . . . . . . 82--91
Yingying Shan and
Wenjie Liu and
Boying Wu Space-time Legendre--Gauss--Lobatto
collocation method for two-dimensional
generalized sine-Gordon equation . . . . 92--107
Xiangtuan Xiong and
Xuemin Xue and
Zhi Qian A modified iterative regularization
method for ill-posed problems . . . . . 108--128
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Guanyu Zhou The fictitious domain method with
H$^1$-penalty for the Stokes problem
with Dirichlet boundary condition . . . 1--21
R. Donat and
F. Guerrero and
P. Mulet Implicit-Explicit WENO scheme for the
equilibrium dispersive model of
chromatography . . . . . . . . . . . . . 22--42
Stefano Cipolla and
Fabio Durastante Fractional PDE constrained optimization:
an optimize-then-discretize approach
with L-BFGS and approximate inverse
preconditioning . . . . . . . . . . . . 43--57
Eduardo M. Garau and
Rafael Vázquez Algorithms for the implementation of
adaptive isogeometric methods using
hierarchical B-splines . . . . . . . . . 58--87
Jin Zhang and
Xiaowei Liu Supercloseness of the continuous
interior penalty method for singularly
perturbed problems in $1$D: Vertex-cell
interpolation . . . . . . . . . . . . . 88--98
Farhad Fakhar-Izadi and
Mehdi Dehghan Fully spectral collocation method for
nonlinear parabolic partial
integro-differential equations . . . . . 99--120
Simon Becher Analysis of Galerkin and
streamline-diffusion FEMs on piecewise
equidistant meshes for turning point
problems exhibiting an interior layer 121--136
Pouria Assari and
Mehdi Dehghan Solving a class of nonlinear boundary
integral equations based on the meshless
local discrete Galerkin (MLDG) method 137--158
S. Kopecz and
A. Meister On order conditions for modified
Patankar--Runge--Kutta schemes . . . . . 159--179
Chenguang Zhou and
Yongkui Zou and
Shimin Chai and
Qian Zhang and
Hongze Zhu Weak Galerkin mixed finite element
method for heat equation . . . . . . . . 180--199
Hanyu Li and
Shaoxin Wang On the partial condition numbers for the
indefinite least squares problem . . . . 200--220
Carlos Pérez-Arancibia A plane-wave singularity subtraction
technique for the classical Dirichlet
and Neumann combined field integral
equations . . . . . . . . . . . . . . . 221--240
Arijit Hazra and
Gert Lube and
Hans-Georg Raumer Numerical simulation of Bloch equations
for dynamic magnetic resonance imaging 241--255
Xue Luo Spectral viscosity method with
generalized Hermite functions for
nonlinear conservation laws . . . . . . 256--274
María González and
Virginia Selgas Analysis of a velocity--stress--pressure
formulation for a fluid-structure
interaction problem . . . . . . . . . . 275--299
Francesco Mezzadri and
Emanuele Galligani A lagged diffusivity method for
reaction--convection--diffusion
equations with Dirichlet boundary
conditions . . . . . . . . . . . . . . . 300--319
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Vít Dolejsí and
Georg May and
Ajay Rangarajan A continuous hp-mesh model for adaptive
discontinuous Galerkin schemes . . . . . 1--21
S. Falletta and
G. Monegato and
L. Scuderi On the discretization and application of
two space--time boundary integral
equations for $3$D wave propagation
problems in unbounded domains . . . . . 22--43
Shimin Chai and
Yanzhao Cao and
Yongkui Zou and
Wenju Zhao Conforming finite element methods for
the stochastic Cahn--Hilliard-Cook
equation . . . . . . . . . . . . . . . . 44--56
Donatella Occorsio and
Maria Grazia Russo A new quadrature scheme based on an
Extended Lagrange Interpolation process 57--75
G. Filipuk and
M. N. Rebocho Differential equations for families of
semi-classical orthogonal polynomials
within class one . . . . . . . . . . . . 76--88
Xiaoli Li and
Hongxing Rui A high-order fully conservative
block-centered finite difference method
for the time-fractional
advection--dispersion equation . . . . . 89--109
Qili Tang and
Yunqing Huang Stability and convergence analysis of a
Crank--Nicolson leap-frog scheme for the
unsteady incompressible Navier--Stokes
equations . . . . . . . . . . . . . . . 110--129
Peter Minev and
Petr N. Vabishchevich Splitting schemes for unsteady problems
involving the grad--div operator . . . . 130--139
Toby Sanders Parameter selection for HOTV
regularization . . . . . . . . . . . . . 1--9
Michael Weise Residual error estimation for
anisotropic Kirchhoff plates . . . . . . 10--22
Yongchao Yu and
Jigen Peng The matrix splitting based proximal
fixed-point algorithms for quadratically
constrained $ l_1 $ minimization and
Dantzig selector . . . . . . . . . . . . 23--50
Xiaojun Tang and
Heyong Xu A pseudospectral scheme and its
convergence analysis for high-order
integro-differential equations . . . . . 51--67
Weiyang Ding and
Michael Ng and
Yimin Wei Fast computation of stationary joint
probability distribution of sparse
Markov chains . . . . . . . . . . . . . 68--85
D. D. Tcheutia and
A. S. Jooste and
W. Koepf Mixed recurrence equations and
interlacing properties for zeros of
sequences of classical $q$-orthogonal
polynomials . . . . . . . . . . . . . . 86--102
Tong Zhang and
JiaoJiao Jin and
YuGao HuangFu The Crank--Nicolson/Adams--Bashforth
scheme for the Burgers equation with $
H_2 $ and $ H_1 $ initial data . . . . . 103--142
Erge Ideon and
Peeter Oja Quadratic/linear rational spline
collocation for linear boundary value
problems . . . . . . . . . . . . . . . . 143--158
Helmut Harbrecht and
Michael D. Peters The second order perturbation approach
for elliptic partial differential
equations on random domains . . . . . . 159--171
Lin Mu and
Junping Wang and
Xiu Ye and
Shangyou Zhang A discrete divergence free weak Galerkin
finite element method for the Stokes
equations . . . . . . . . . . . . . . . 172--182
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Matthew J. Colbrook and
Athanasisos S. Fokas Computing eigenvalues and eigenfunctions
of the Laplacian for convex polygons . . 1--17
Marzieh Dehghani-Madiseh and
Milan Hladík Efficient approaches for enclosing the
united solution set of the interval
generalized Sylvester matrix equations 18--33
Jinwei Fang and
Boying Wu and
Wenjie Liu An explicit spectral collocation method
for the linearized Korteweg--de Vries
equation on unbounded domain . . . . . . 34--52
Mikael Barboteu and
Krzysztof Bartosz and
David Danan Analysis of a dynamic contact problem
with nonmonotone friction and
non-clamped boundary conditions . . . . 53--77
F. Dell'Accio and
F. Di Tommaso and
O. Nouisser and
B. Zerroudi Increasing the approximation order of
the triangular Shepard method . . . . . 78--91
Mehdi Dehghan and
Mostafa Abbaszadeh A reduced proper orthogonal
decomposition (POD) element free
Galerkin (POD--EFG) method to simulate
two-dimensional solute transport
problems and error estimate . . . . . . 92--112
M. Aouadi and
M. I. M. Copetti A dynamic contact problem for a
thermoelastic diffusion beam with the
rotational inertia . . . . . . . . . . . 113--137
Xinpeng Yuan and
Chunguang Xiong and
Guoqing Zhu Error analysis of the high order scheme
for homogenization of Hamilton--Jacobi
equation . . . . . . . . . . . . . . . . 138--159
Thi Thanh Mai Ta and
Van Chien Le and
Ha Thanh Pham Shape optimization for Stokes flows
using sensitivity analysis and finite
element method . . . . . . . . . . . . . 160--179
Rekha P. Kulkarni and
Gobinda Rakshit Discrete modified projection method for
Urysohn integral equations with smooth
kernels . . . . . . . . . . . . . . . . 180--198
Yongchao Yu and
Jigen Peng Corrigendum to ``The matrix splitting
based proximal fixed-point algorithms
for quadratically constrained l 1
minimization and Dantzig selector''
[Appl. Numer. Math. \bf 125 (2018)
23--50] . . . . . . . . . . . . . . . . 199--199
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Hua Wang and
Jinru Chen and
Pengtao Sun and
Fangfang Qin A conforming enriched finite element
method for elliptic interface problems 1--17
Olga V. Ushakova Criteria for hexahedral cell
classification . . . . . . . . . . . . . 18--39
Peizhen Wang and
Ming Sun and
Changhui Yao $ \ell^2 $ superconvergence analysis of
nonconforming element approximation for
$3$D time-harmonic Maxwell's equations 40--55
Luigi Brugnano and
Gianmarco Gurioli and
Felice Iavernaro and
Ewa B. Weinmüller Line integral solution of Hamiltonian
systems with holonomic constraints . . . 56--77
D. Barrera and
F. Elmokhtari and
D. Sbibih Two methods based on bivariate spline
quasi-interpolants for solving Fredholm
integral equations . . . . . . . . . . . 78--94
H. Mahdi and
A. Abdi and
G. Hojjati Efficient general linear methods for a
class of Volterra integro-differential
equations . . . . . . . . . . . . . . . 95--109
Stefano De Marchi and
Giacomo Elefante Quasi-Monte Carlo integration on
manifolds with mapped low-discrepancy
points and greedy minimal Riesz
$s$-energy points . . . . . . . . . . . 110--124
Giovanna Califano and
Dajana Conte Optimal Schwarz waveform relaxation for
fractional diffusion-wave equations . . 125--141
Yuan Li and
Yanjie Ma and
Rong An Decoupled, semi-implicit scheme for a
coupled system arising in
magnetohydrodynamics problem . . . . . . 142--163
Jialin Hong and
Lihai Ji and
Zhihui Liu Optimal error estimate of conservative
local discontinuous Galerkin method for
nonlinear Schrödinger equation . . . . . 164--178
Rodolfo Araya and
Ramiro Rebolledo An a posteriori error estimator for a
LPS method for Navier--Stokes equations 179--195
Qing Ai and
Hui-yuan Li and
Zhong-qing Wang Diagonalized Legendre spectral methods
using Sobolev orthogonal polynomials for
elliptic boundary value problems . . . . 196--210
Feng-Nan Hwang and
Yi-Zhen Su and
Chien-Chou Yao An iteratively adaptive multiscale
finite element method for elliptic
interface problems . . . . . . . . . . . 211--225
Rui M. P. Almeida and
José C. M. Duque and
Jorge Ferreira and
Rui J. Robalo Finite element schemes for a class of
nonlocal parabolic systems with moving
boundaries . . . . . . . . . . . . . . . 226--248
S. Chandra Sekhara Rao and
Sheetal Chawla Numerical solution of singularly
perturbed linear parabolic system with
discontinuous source term . . . . . . . 249--265
Xianju Yuan and
Tianyu Tian and
Hongni Zhou and
Jiwei Zhou Comparisons of methods for solving
static deflections of a thin annular
plate . . . . . . . . . . . . . . . . . 266--279
I. V. Boykov and
V. A. Roudnev and
A. I. Boykova and
O. A. Baulina New iterative method for solving linear
and nonlinear hypersingular integral
equations . . . . . . . . . . . . . . . 280--305
Gang Wu and
Hong-Kui Pang and
Jiang-Li Sun A shifted block FOM algorithm with
deflated restarting for matrix
exponential computations . . . . . . . . 306--323
Georges Chamoun and
Mazen Saad and
Raafat Talhouk Numerical analysis of a
chemotaxis-swimming bacteria model on a
general triangular mesh . . . . . . . . 324--348
A. Abudawia and
A. Mourad and
J. H. Rodrigues and
C. Rosier A finite element method for a seawater
intrusion problem in unconfined aquifers 349--369
Linna Liu and
Mengling Li and
Feiqi Deng Stability equivalence between the
neutral delayed stochastic differential
equations and the Euler--Maruyama
numerical scheme . . . . . . . . . . . . 370--386
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Hendrik Ranocha and
Jan Glaubitz and
Philipp Öffner and
Thomas Sonar Stability of artificial dissipation and
modal filtering for flux reconstruction
schemes using summation-by-parts
operators . . . . . . . . . . . . . . . 1--23
Andrzej Kaluza and
Pawel Przybylowicz Optimal global approximation of
jump-diffusion SDEs via path-independent
step-size control . . . . . . . . . . . 24--42
Mahboub Baccouch A stochastic local discontinuous
Galerkin method for stochastic two-point
boundary-value problems driven by
additive noises . . . . . . . . . . . . 43--64
Lunji Song and
Shan Zhao and
Kaifang Liu A relaxed weak Galerkin method for
elliptic interface problems with low
regularity . . . . . . . . . . . . . . . 65--80
André Pierro de Camargo An exponential lower bound for the
condition number of real Vandermonde
matrices . . . . . . . . . . . . . . . . 81--83
Jijun Liu and
Bingxian Wang Solving the backward heat conduction
problem by homotopy analysis method . . 84--97
Kareem T. Elgindy and
Hareth M. Refat High-order shifted Gegenbauer integral
pseudo-spectral method for solving
differential equations of Lane--Emden
type . . . . . . . . . . . . . . . . . . 98--124
Zhihao Ge and
Mengxia Ma Multirate iterative scheme based on
multiphysics discontinuous Galerkin
method for a poroelasticity model . . . 125--138
Lizhen Chen and
Jia Zhao and
Xiaofeng Yang Regularized linear schemes for the
molecular beam epitaxy model with slope
selection . . . . . . . . . . . . . . . 139--156
Farhad Fakhar-Izadi and
Mehdi Dehghan Modal spectral element method in
curvilinear domains . . . . . . . . . . 157--182
Bo Wang and
Dong Liang The finite difference scheme for
nonlinear Schrödinger equations on
unbounded domain by artificial boundary
conditions . . . . . . . . . . . . . . . 183--204
E. Keshavarz and
Y. Ordokhani and
M. Razzaghi The Taylor wavelets method for solving
the initial and boundary value problems
of Bratu-type equations . . . . . . . . 205--216
Winfried Auzinger and
Jana Burkotová and
Irena Rachunková and
Victor Wenin Shooting methods for state-dependent
impulsive boundary value problems, with
applications . . . . . . . . . . . . . . 217--229
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Elyas Shivanian and
Ahmad Jafarabadi The spectral meshless radial point
interpolation method for solving an
inverse source problem of the
time-fractional diffusion equation . . . 1--25
Jingliang Li and
Heping Ma and
Yonghui Qin and
Shuaiyin Zhang A spectral method for triangular prism 26--38
Saulo Pomponet Oliveira and
Stela Angelozi Leite Error analysis of the spectral element
method with Gauss--Lobatto--Legendre
points for the acoustic wave equation in
heterogeneous media . . . . . . . . . . 39--57
Maohua Ran and
Chengjian Zhang New compact difference scheme for
solving the fourth-order time fractional
sub-diffusion equation of the
distributed order . . . . . . . . . . . 58--70
Yunyun Ma and
Fuming Ma A projection method with regularization
for Cauchy problem of the time-harmonic
Maxwell equations . . . . . . . . . . . 71--82
Tong Zhang and
Yanxia Qian and
JinYun Yuan The fully discrete fractional-step
method for the Oldroyd model . . . . . . 83--103
Roman Chapko and
B. Tomas Johansson A boundary integral equation method for
numerical solution of parabolic and
hyperbolic Cauchy problems . . . . . . . 104--119
Jialin Hong and
Chuying Huang and
Xu Wang Symplectic Runge--Kutta methods for
Hamiltonian systems driven by Gaussian
rough paths . . . . . . . . . . . . . . 120--136
Pengde Wang and
Chengming Huang Structure-preserving numerical methods
for the fractional Schrödinger equation 137--158
E. N. G. Grylonakis and
C. K. Filelis-Papadopoulos and
G. A. Gravvanis A class of unified transform techniques
for solving linear elliptic PDEs in
convex polygons . . . . . . . . . . . . 159--180
Sanjar M. Abrarov and
Brendan M. Quine and
Rajinder K. Jagpal A sampling-based approximation of the
complex error function and its
implementation without poles . . . . . . 181--191
Thi Thanh Mai Ta and
Van Chien Le and
Ha Thanh Pham Corrigendum to ``Shape optimization for
Stokes flows using sensitivity analysis
and finite element method'' [Appl.
Numer. Math. 126 (April 2018) 160--179] 192--192
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Rui Zhan and
Jingjun Zhao The analysis of operator splitting
methods for the Camassa--Holm equation 1--22
Jana Burkotová and
Irena Rachunková and
Svatoslav Stanek and
Ewa B. Weinmüller and
Stefan Wurm On nonlinear singular BVPs with
nonsmooth data. Part 1: Analytical
results . . . . . . . . . . . . . . . . 23--50
Roland Pulch and
Diana Estévez Schwarz and
René Lamour Index-analysis for a method of lines
discretising multirate partial
differential algebraic equations . . . . 51--69
Behnam Soleimani and
Rüdiger Weiner Superconvergent IMEX peer methods . . . 70--85
Mikhail Bulatov and
Liubov Solovarova On self-regularization properties of a
difference scheme for linear
differential--algebraic equations . . . 86--94
Xiu Yang and
Xiaoyun Jiang and
Hui Zhang A time-space spectral tau method for the
time fractional cable equation and its
inverse problem . . . . . . . . . . . . 95--111
Haifeng Ji and
Jinru Chen and
Zhilin Li A high-order source removal finite
element method for a class of elliptic
interface problems . . . . . . . . . . . 112--130
Scott A. Sarra and
Yikun Bai A rational radial basis function method
for accurately resolving discontinuities
and steep gradients . . . . . . . . . . 131--142
Karel J. in 't Hout and
Jari Toivanen ADI schemes for valuing European options
under the Bates model . . . . . . . . . 143--156
Qian Guo and
Wei Liu and
Xuerong Mao A note on the partially truncated
Euler--Maruyama method . . . . . . . . . 157--170
Tingting Zhang and
Hui Liang Multistep collocation approximations to
solutions of first-kind Volterra
integral equations . . . . . . . . . . . 171--183
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Jing An and
Jie Shen and
Zhimin Zhang The spectral-Galerkin approximation of
nonlinear eigenvalue problems . . . . . 1--15
E. Aulisa and
G. Bornia and
S. Calandrini and
G. Capodaglio Convergence estimates for multigrid
algorithms with SSC smoothers and
applications to overlapping domain
decomposition . . . . . . . . . . . . . 16--38
Xin Li and
Luming Zhang Error estimates of a trigonometric
integrator sine pseudo-spectral method
for the extended Fisher--Kolmogorov
equation . . . . . . . . . . . . . . . . 39--53
Denys Dutykh and
Jean-Guy Caputo Wave dynamics on networks: Method and
application to the sine-Gordon equation 54--71
Z. Soori and
A. Aminataei Sixth-order non-uniform combined compact
difference scheme for multi-term time
fractional diffusion-wave equation . . . 72--94
Toshihiro Yamada Weak Milstein scheme without
commutativity condition and its error
bound . . . . . . . . . . . . . . . . . 95--108
Dongyang Shi and
Huaijun Yang Superconvergence analysis of a new low
order nonconforming MFEM for
time-fractional diffusion equation . . . 109--122
Xiaoli Li and
Hongxing Rui A block-centered finite difference
method for the distributed-order
time-fractional diffusion-wave equation 123--139
Pouria Assari and
Mehdi Dehghan The approximate solution of nonlinear
Volterra integral equations of the
second kind using radial basis functions 140--157
Ahmet Guzel and
Catalin Trenchea The Williams step increases the
stability and accuracy of the hoRA time
filter . . . . . . . . . . . . . . . . . 158--173
S. Nemati and
P. Lima and
S. Sedaghat An effective numerical method for
solving fractional pantograph
differential equations using
modification of hat functions . . . . . 174--189
Mehdi Dehghan and
Mostafa Abbaszadeh An efficient technique based on finite
difference/finite element method for
solution of two-dimensional
space/multi-time fractional
Bloch--Torrey equations . . . . . . . . 190--206
M. Bra\'s and
A. Cardone and
Z. Jackiewicz and
P. Pierzchala Error propagation for implicit--explicit
general linear methods . . . . . . . . . 207--231
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Nabil Chaabane and
Vivette Girault and
Beatrice Riviere and
Travis Thompson A stable enriched Galerkin element for
the Stokes problem . . . . . . . . . . . 1--21
M. L. N. Gonçalves and
F. R. Oliveira An inexact Newton-like conditional
gradient method for constrained
nonlinear systems . . . . . . . . . . . 22--34
Yiqun Li and
Boying Wu and
Melvin Leok Construction and comparison of
multidimensional spectral variational
integrators and spectral collocation
methods . . . . . . . . . . . . . . . . 35--50
M. A. Zaky and
E. H. Doha and
J. A. Tenreiro Machado A spectral framework for fractional
variational problems based on fractional
Jacobi functions . . . . . . . . . . . . 51--72
Mariam Al-Maskari and
Samir Karaa The lumped mass FEM for a
time-fractional cable equation . . . . . 73--90
G. A. Jarrad and
A. J. Roberts Smooth subgrid fields underpin rigorous
closure in spatial discretisation of
reaction--advection--diffusion PDEs . . 91--110
Eugeniusz Zieniuk and
Krzysztof Szersze\'n NURBS curves in direct definition of the
shapes of the boundary for $2$D Stokes
flow problems in modified classical BIE 111--126
Shi-Liang Wu and
Peng Guo Modulus-based matrix splitting
algorithms for the quasi-complementarity
problems . . . . . . . . . . . . . . . . 127--137
Jian Rong Loh and
Abdulnasir Isah and
Chang Phang and
Yoke Teng Toh On the new properties of
Caputo--Fabrizio operator and its
application in deriving shifted Legendre
operational matrix . . . . . . . . . . . 138--153
Merlin Fallahpour and
Sean McKee and
Ewa B. Weinmüller Numerical simulation of flow in smectic
liquid crystals . . . . . . . . . . . . 154--162
Tianliang Hou and
Luoping Chen and
Yin Yang Two-grid methods for expanded mixed
finite element approximations of
semi-linear parabolic
integro-differential equations . . . . . 163--181
Lukas Einkemmer An adaptive step size controller for
iterative implicit methods . . . . . . . 182--204
R. Ciegis and
O. Suboc High order compact finite difference
schemes on nonuniform grids . . . . . . 205--218
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Xiaoming He and
Jie Shen and
Chuanju Xu 20th IMACS World Congress . . . . . . . 1--1
Rui Li and
Jian Li and
Xiaoming He and
Zhangxin Chen A stabilized finite volume element
method for a coupled Stokes--Darcy
problem . . . . . . . . . . . . . . . . 2--24
Guo Chai and
Tian-jun Wang Mixed generalized Hermite--Fourier
spectral method for Fokker--Planck
equation of periodic field . . . . . . . 25--40
Adnan Morshed and
Prashanta Dutta and
Robert H. Dillon Mathematical modeling and numerical
simulation of the TGF-$ \beta $ /Smad
signaling pathway in tumor
microenvironments . . . . . . . . . . . 41--51
Xiaoping Zhang and
Jiming Wu and
Lili Ju An accurate and asymptotically
compatible collocation scheme for
nonlocal diffusion problems . . . . . . 52--68
Youngmok Jeon and
Mai Lan Tran The upwind hybrid difference methods for
a convection diffusion equation . . . . 69--82
Jianguo Huang and
Xuehai Huang An hp-version error analysis of the
discontinuous Galerkin method for linear
elasticity . . . . . . . . . . . . . . . 83--99
Haijian Yang and
Feng-Nan Hwang An adaptive nonlinear elimination
preconditioned inexact Newton algorithm
for highly local nonlinear
multicomponent PDE systems . . . . . . . 100--115
Yuhong Zhang and
Haibiao Zheng and
Yanren Hou and
Li Shan Optimal error estimates of both coupled
and two-grid decoupled methods for a
mixed Stokes--Stokes model . . . . . . . 116--129
K. D. Brauss and
A. J. Meir On a parallel, $3$-dimensional, finite
element solver for viscous, resistive,
stationary magnetohydrodynamics
equations: Velocity-current formulation 130--143
Youngmi Choi and
Hyung-Chun Lee Error analysis of finite element
approximations of the optimal control
problem for stochastic Stokes equations
with additive white noise . . . . . . . 144--160
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Argus A. Dunca Estimates of the discrete van Cittert
deconvolution error in approximate
deconvolution models of turbulence in
bounded domains . . . . . . . . . . . . 1--10
A. Steele and
J. Yalim and
B. Welfert QX factorization of centrosymmetric
matrices . . . . . . . . . . . . . . . . 11--16
Zhengguang Liu and
Aijie Cheng and
Xiaoli Li A novel finite difference discrete
scheme for the time fractional
diffusion-wave equation . . . . . . . . 17--30
Adson M. Rocha and
Juarez S. Azevedo and
Saulo P. Oliveira and
Maicon R. Correa Numerical analysis of a collocation
method for functional integral equations 31--45
Qi Li and
Liquan Mei and
Bo You A second-order, uniquely solvable,
energy stable BDF numerical scheme for
the phase field crystal model . . . . . 46--65
S. Chen and
F. Liu and
I. Turner and
V. Anh A fast numerical method for
two-dimensional Riesz space fractional
diffusion equations on a convex bounded
region . . . . . . . . . . . . . . . . . 66--80
Reza Mollapourasl and
Majid Haghi and
Ruihua Liu Localized kernel-based approximation for
pricing financial options under regime
switching jump diffusion model . . . . . 81--104
Wen Li and
Dongdong Liu and
Seak-Weng Vong Comparison results for splitting
iterations for solving multi-linear
systems . . . . . . . . . . . . . . . . 105--121
Zhe Li and
Kai Zheng and
Shugong Zhang Verification of a low-degree polynomial
vanishing at empirical points . . . . . 122--131
Changqing Yang Modified Chebyshev collocation method
for pantograph-type differential
equations . . . . . . . . . . . . . . . 132--144
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Ying Xie and
Chengjian Zhang A class of stochastic one-parameter
methods for nonlinear SFDEs with
piecewise continuous arguments . . . . . 1--14
Chaobao Huang and
Martin Stynes A direct discontinuous Galerkin method
for a time-fractional diffusion equation
with a Robin boundary condition . . . . 15--29
Hengfei Ding A high-order numerical algorithm for
two-dimensional time-space tempered
fractional diffusion-wave equation . . . 30--46
Mi-Young Kim and
Dong-wook Shin A high order discontinuous Galerkin
method with Lagrange multipliers for
second-order elliptic problems . . . . . 47--68
X. Claeys and
V. Dolean and
M. J. Gander An introduction to multi-trace
formulations and associated domain
decomposition solvers . . . . . . . . . 69--86
Khalaf M. Alanazi and
Zdzislaw Jackiewicz and
Horst R. Thieme Numerical simulations of the spread of
rabies in two-dimensional space . . . . 87--98
Guang-Hui Zheng Solving the backward problem in
Riesz--Feller fractional diffusion by a
new nonlocal regularization method . . . 99--128
Jehanzeb H. Chaudhry and
John N. Shadid and
Timothy Wildey A posteriori analysis of an IMEX
entropy--viscosity formulation for
hyperbolic conservation laws with
dissipation . . . . . . . . . . . . . . 129--142
Claude Brezinski and
Kathy A. Driver and
Michela Redivo-Zaglia Zeros of quadratic quasi-orthogonal
order $2$ polynomials . . . . . . . . . 143--145
M. A. Rincon and
I.-S. Liu and
W. R. Huarcaya and
B. A. Carmo Numerical analysis for a nonlinear model
of elastic strings with moving ends . . 146--164
Andrew Giuliani and
Lilia Krivodonova On the optimal CFL number of SSP methods
for hyperbolic problems . . . . . . . . 165--172
Elias Jarlebring and
Federico Poloni Iterative methods for the delay Lyapunov
equation with $T$-Sylvester
preconditioning . . . . . . . . . . . . 173--185
Xiaolong Zhang and
John P. Boyd Revisiting the Thomas--Fermi equation:
Accelerating rational Chebyshev series
through coordinate transformations . . . 186--205
Chieu Thanh Nguyen and
B. Saheya and
Yu-Lin Chang and
Jein-Shan Chen Unified smoothing functions for absolute
value equation associated with
second-order cone . . . . . . . . . . . 206--227
Liangliang Sun and
Yun Zhang and
Ting Wei Recovering the time-dependent potential
function in a multi-term time-fractional
diffusion equation . . . . . . . . . . . 228--245
Zhoufeng Wang and
Rui Guo A posteriori error analysis for the
scattering by obstacles in a homogeneous
chiral environment . . . . . . . . . . . 246--263
Marco Berardi and
Fabio Difonzo and
Filippo Notarnicola and
Michele Vurro A transversal method of lines for the
numerical modeling of vertical
infiltration into the vadose zone . . . 264--275
Mirjam Walloth A reliable, efficient and localized
error estimator for a discontinuous
Galerkin method for the Signorini
problem . . . . . . . . . . . . . . . . 276--296
Min Zhong and
Wei Wang A regularizing multilevel approach for
nonlinear inverse problems . . . . . . . 297--315
Manuel Baumann and
Martin B. van Gijzen An efficient two-level preconditioner
for multi-frequency wave propagation
problems . . . . . . . . . . . . . . . . 316--332
M. Charina and
M. Donatelli and
L. Romani and
V. Turati Anisotropic bivariate subdivision with
applications to multigrid . . . . . . . 333--366
Yongtao Zhou and
Chengjian Zhang Convergence and stability of block
boundary value methods applied to
nonlinear fractional differential
equations with Caputo derivatives . . . 367--380
Jiyong Li Symplectic and symmetric
trigonometrically-fitted ARKN methods 381--395
Liying Zhang and
Lihai Ji Stochastic multi-symplectic Runge--Kutta
methods for stochastic Hamiltonian PDEs 396--406
Yanping Chen and
Haitao Leng and
Wendi Yang Error estimates of pseudostress-velocity
MFEM for optimal control problems
governed by Stokes equations . . . . . . 407--422
Ernesto Cáceres and
Gabriel N. Gatica and
Filánder A. Sequeira A mixed virtual element method for a
pseudostress-based formulation of linear
elasticity . . . . . . . . . . . . . . . 423--442
Matteo Ioriatti and
Michael Dumbser A posteriori sub-cell finite volume
limiting of staggered semi-implicit
discontinuous Galerkin schemes for the
shallow water equations . . . . . . . . 443--480
Linghua Kong and
Meng Chen and
Xiuling Yin A novel kind of efficient symplectic
scheme for Klein--Gordon--Schrödinger
equation . . . . . . . . . . . . . . . . 481--496
Ali Lotfi Epsilon penalty method combined with an
extension of the Ritz method for solving
a class of fractional optimal control
problems with mixed inequality
constraints . . . . . . . . . . . . . . 497--509
Zi-Cai Li and
Yimin Wei and
Yunkun Chen and
Hung-Tsai Huang The method of fundamental solutions for
the Helmholtz equation . . . . . . . . . 510--536
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Edouard Berthe and
Duy-Minh Dang and
Luis Ortiz-Gracia A Shannon wavelet method for pricing
foreign exchange options under the
Heston multi-factor CIR model . . . . . 1--22
Pratibha Shakya and
Rajen Kumar Sinha A posteriori error analysis for finite
element approximations of parabolic
optimal control problems with measure
data . . . . . . . . . . . . . . . . . . 23--45
K. Maleknejad and
M. Shahabi Application of hybrid functions
operational matrices in the numerical
solution of two-dimensional nonlinear
integral equations . . . . . . . . . . . 46--65
Lothar Banz and
Jan Petsche and
Andreas Schröder Hybridization and stabilization for
hp-finite element methods . . . . . . . 66--102
A. Abdi and
Z. Jackiewicz Towards a code for nonstiff differential
systems based on general linear methods
with inherent Runge--Kutta stability . . 103--121
Esmail Hesameddini and
Mehdi Shahbazi Solving multipoint problems with linear
Volterra--Fredholm integro-differential
equations of the neutral type using
Bernstein polynomials method . . . . . . 122--138
Zeting Liu and
Fawang Liu and
Fanhai Zeng An alternating direction implicit
spectral method for solving two
dimensional multi-term time fractional
mixed diffusion and diffusion-wave
equations . . . . . . . . . . . . . . . 139--151
B. P. Moghaddam and
J. A. Tenreiro Machado and
M. L. Morgado Numerical approach for a class of
distributed order time fractional
partial differential equations . . . . . 152--162
Gabriel J. Lord and
Antoine Tambue Stochastic exponential integrators for a
finite element discretisation of SPDEs
with additive noise . . . . . . . . . . 163--182
Christopher A. Kennedy and
Mark H. Carpenter Higher-order additive Runge--Kutta
schemes for ordinary differential
equations . . . . . . . . . . . . . . . 183--205
Qingyi Zhan Shadowing orbits of a class of random
differential equations . . . . . . . . . 206--214
Hao Dong and
Junzhi Cui and
Yufeng Nie and
Zihao Yang and
Qiang Ma and
Xiaohan Cheng Multiscale computational method for
transient heat conduction problems of
periodic porous materials with diverse
periodic configurations in different
subdomains . . . . . . . . . . . . . . . 215--234
Xiaofeng Yang and
Guo-Dong Zhang and
Xiaoming He Convergence analysis of an
unconditionally energy stable projection
scheme for magneto-hydrodynamic
equations . . . . . . . . . . . . . . . 235--256
Ying Wang and
Liquan Mei and
Qi Li and
Linlin Bu Split-step spectral Galerkin method for
the two-dimensional nonlinear
space-fractional Schrödinger equation . . 257--278
Jingjun Zhao and
Yu Li and
Yang Xu A kind of product integration scheme for
solving fractional ordinary differential
equations . . . . . . . . . . . . . . . 279--292
Beibei Yuan and
Mingwang Zhang and
Zhengwei Huang A wide neighborhood interior-point
algorithm with arc-search for $ P_\ast
(\kappa) $ linear complementarity
problem . . . . . . . . . . . . . . . . 293--304
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
A. Cordero and
I. Giménez-Palacios and
J. R. Torregrosa Avoiding strange attractors in efficient
parametric families of iterative methods
for solving nonlinear problems . . . . . 1--18
Shenglan Xie and
Peng Zhu and
Xiaoshen Wang Error analysis of weak Galerkin finite
element methods for time-dependent
convection--diffusion equations . . . . 19--33
Seakweng Vong and
Pin Lyu On a second order scheme for space
fractional diffusion equations with
variable coefficients . . . . . . . . . 34--48
M. J. Senosiain and
A. Tocino On the numerical integration of the
undamped harmonic oscillator driven by
independent additive Gaussian white
noises . . . . . . . . . . . . . . . . . 49--61
Rezvan Ghaffari and
Farideh Ghoreishi Reduced spline method based on a proper
orthogonal decomposition technique for
fractional sub-diffusion equations . . . 62--79
Liwei Xu and
Shangyou Zhang and
George C. Hsiao Nonsingular kernel boundary integral and
finite element coupling method . . . . . 80--90
Mahboub Baccouch and
Helmi Temimi and
Mohamed Ben-Romdhane Optimal error estimates and
superconvergence of an ultra weak
discontinuous Galerkin method for
fourth-order boundary-value problems . . 91--115
Tanmay Sarkar and
Praveen Chandrashekar Stabilized discontinuous Galerkin scheme
for the magnetic induction equation . . 116--135
Tianliang Hou and
Wenzhu Jiang and
Yueting Yang and
Haitao Leng Two-grid $ P_0^2$--$ P_1$ mixed finite
element methods combined with
Crank--Nicolson scheme for a class of
nonlinear parabolic equations . . . . . 136--150
El Houcine Bergou and
Serge Gratton and
Jan Mandel On the convergence of a non-linear
ensemble Kalman smoother . . . . . . . . 151--168
Miroslav S. Petrov and
Todor D. Todorov Refinement strategies related to cubic
tetrahedral meshes . . . . . . . . . . . 169--183
Zhongli Liu and
Tianhai Tian and
Hongjiong Tian Asymptotic-numerical solvers for highly
oscillatory second-order differential
equations . . . . . . . . . . . . . . . 184--202
Zaid Odibat On the optimal selection of the linear
operator and the initial approximation
in the application of the homotopy
analysis method to nonlinear fractional
differential equations . . . . . . . . . 203--212
Li Zhang and
Minfu Feng and
Jian Zhang A globally divergence-free weak Galerkin
method for Brinkman equations . . . . . 213--229
James Jackaman and
Georgios Papamikos and
Tristan Pryer The design of conservative finite
element discretisations for the
vectorial modified KdV equation . . . . 230--251
Mehdi Dehghan and
Mostafa Abbaszadeh Error analysis and numerical simulation
of magnetohydrodynamics (MHD) equation
based on the interpolating element free
Galerkin (IEFG) method . . . . . . . . . 252--273
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Mohammed Elmustafa Amin and
Xiangtuan Xiong Source identification problems for
radially symmetric and axis-symmetric
heat conduction equations . . . . . . . 1--18
Yunhui Yin and
Peng Zhu The streamline-diffusion finite element
method on graded meshes for a
convection-diffusion problem . . . . . . 19--29
Xiaoli Li and
Hongxing Rui and
Shuangshuang Chen Stability and superconvergence of
efficient MAC schemes for fractional
Stokes equation on non-uniform grids . . 30--53
Feng Liao and
Luming Zhang and
Tingchun Wang Unconditional $ L_\infty $ convergence
of a conservative compact finite
difference scheme for the $N$-coupled
Schrödinger--Boussinesq equations . . . . 54--77
Tianliang Hou and
Haitao Leng Superconvergence analysis and two-grid
algorithms of pseudostress-velocity MFEM
for optimal control problems governed by
Stokes equations . . . . . . . . . . . . 78--93
Yu Zhang and
Hai Bi and
Yidu Yang The two-grid discretization of
Ciarlet--Raviart mixed method for
biharmonic eigenvalue problems . . . . . 94--113
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Deepti Kaur and
R. K. Mohanty Two-level implicit high order method
based on half-step discretization for
$1$D unsteady biharmonic problems of
first kind . . . . . . . . . . . . . . . 1--14
Shounian Deng and
Weiyin Fei and
Yong Liang and
Xuerong Mao Convergence of the split-step $ \theta
$-method for stochastic age-dependent
population equations with Markovian
switching and variable delay . . . . . . 15--37
Hongfei Fu and
Yanan Sun and
Hong Wang and
Xiangcheng Zheng Stability and convergence of a
Crank--Nicolson finite volume method for
space fractional diffusion equations . . 38--51
Hu Chen and
Finbarr Holland and
Martin Stynes An analysis of the Grünwald--Letnikov
scheme for initial-value problems with
weakly singular solutions . . . . . . . 52--61
Mohamed Ben-Romdhane and
Helmi Temimi and
Mahboub Baccouch An iterative finite difference method
for approximating the two-branched
solution of Bratu's problem . . . . . . 62--76
M. Carmen Calvo-Garrido and
Matthias Ehrhardt and
Carlos Vázquez Jump-diffusion models with two
stochastic factors for pricing swing
options in electricity markets with
partial-integro differential equations 77--92
Yunzhang Zhang Stability and convergence of first order
time discrete linearized pressure
correction projection method for the
diffusive Peterlin viscoelastic model 93--114
Angelamaria Cardone and
Raffaele D'Ambrosio and
Beatrice Paternoster A spectral method for stochastic
fractional differential equations . . . 115--119
Shishun Li and
Rongliang Chen and
Xinping Shao Parallel two-level space--time hybrid
Schwarz method for solving linear
parabolic equations . . . . . . . . . . 120--135
B. V. Rogov Dispersive and dissipative properties of
the fully discrete bicompact schemes of
the fourth order of spatial
approximation for hyperbolic equations 136--155
Tinggan Yang and
Yihong Wang Two uniform tailored finite point method
for strongly anisotropic and
discontinuous diffusivity . . . . . . . 156--171
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Changpin Li and
Zhen Wang The local discontinuous Galerkin finite
element methods for Caputo-type partial
differential equations: Numerical
analysis . . . . . . . . . . . . . . . . 1--22
Dan Wu and
Jingyan Yue and
Guangwei Yuan and
Junliang Lv Finite volume element approximation for
nonlinear diffusion problems with
degenerate diffusion coefficients . . . 23--47
Shaobo Zhou and
Hai Jin Numerical solution to highly nonlinear
neutral-type stochastic differential
equation . . . . . . . . . . . . . . . . 48--75
N. Bazarra and
M. Campo and
J. R. Fernández and
R. Quintanilla Numerical analysis of a thermoelastic
problem with dual-phase-lag heat
conduction . . . . . . . . . . . . . . . 76--90
Hongwei Li and
Xin Zhao and
Yunxia Hu Numerical solution of the regularized
logarithmic Schrödinger equation on
unbounded domains . . . . . . . . . . . 91--103
J. E. Macías-Díaz On the numerical and structural
properties of a logarithmic scheme for
diffusion-reaction equations . . . . . . 104--114
Minam Moon and
Raytcho Lazarov and
Hyung Kyu Jun Multiscale HDG model reduction method
for flows in heterogeneous porous media 115--133
Shuaichao Pei and
Yanren Hou and
Bo You A linearly second-order energy stable
scheme for the phase field crystal model 134--164
Yongxing Wang and
Peter K. Jimack and
Mark A. Walkley Energy analysis for the one-field
fictitious domain method for
fluid-structure interactions . . . . . . 165--182
Wentao Cai and
Dongdong He and
Kejia Pan A linearized energy-conservative finite
element method for the nonlinear
Schrödinger equation with wave operator 183--198
Ioan R. Ionescu and
Oana Lupascu-Stamate Boundary variation method for the
generalized Cheeger problem . . . . . . 199--214
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Thiab R. Taha Foreword . . . . . . . . . . . . . . . . 1--1
A. Alexandrou Himonas and
Dionyssios Mantzavinos and
Fangchi Yan The nonlinear Schrödinger equation on the
half-line with Neumann boundary
conditions . . . . . . . . . . . . . . . 2--18
Deniz Bilman and
Thomas Trogdon Benchmarking numerical methods for
lattice equations with the Toda lattice 19--35
A. Calini and
C. M. Schober and
M. Strawn Linear instability of the Peregrine
breather: Numerical and analytical
investigations . . . . . . . . . . . . . 36--43
Bin Liu and
Lu Li and
Boris A. Malomed Stability band structure for periodic
states in periodic potentials . . . . . 44--53
P. N. Davis and
P. van Heijster and
R. Marangell Spectral stability of travelling wave
solutions in a Keller--Segel model . . . 54--61
V. S. Gerdjikov and
M. D. Todorov Manakov model with gain/loss terms and
$N$-soliton interactions: Effects of
periodic potentials . . . . . . . . . . 62--80
Sandra Carillo KdV-type equations linked via Bäcklund
transformations: Remarks and
perspectives . . . . . . . . . . . . . . 81--90
Shenghao Li and
Min Chen Diamond shaped standing wave patterns of
a two-dimensional Boussinesq system . . 91--101
Yongbing Luo and
Yanbing Yang and
Md Salik Ahmed and
Tao Yu and
Mingyou Zhang and
Ligang Wang and
Huichao Xu Global existence and blow up of the
solution for nonlinear Klein--Gordon
equation with general power-type
nonlinearities at three initial energy
levels . . . . . . . . . . . . . . . . . 102--123
Iftikhar Ahmad and
Hira Ilyas Homotopy Perturbation Method for the
nonlinear MHD Jeffery--Hamel blood flows
problem . . . . . . . . . . . . . . . . 124--132
Sunao Murashige Long wave approximation using conformal
mapping for large-amplitude internal
waves in a two-fluid system . . . . . . 133--143
Krister J. Trandal and
Henrik Kalisch Long wave dynamics for a liquid CO$_2$
lake in the deep ocean . . . . . . . . . 144--157
Lili Fan Mean velocities in an irrotational
equatorial wind wave . . . . . . . . . . 158--166
A. Ludu and
A. Raghavendra Rotating hollow patterns in fluids . . . 167--184
Runzhang Xu and
Wei Lian and
Xiangkun Kong and
Yanbing Yang Fourth order wave equation with
nonlinear strain and logarithmic
nonlinearity . . . . . . . . . . . . . . 185--205
Lhassane Zmour and
Abderrahim Bouidi A numerical approximation with WLS/SUPG
algorithm for solving White--Metzner
viscoelastic flows . . . . . . . . . . . 206--219
Sergey Charnyi and
Timo Heister and
Maxim A. Olshanskii and
Leo G. Rebholz Efficient discretizations for the EMAC
formulation of the incompressible
Navier--Stokes equations . . . . . . . . 220--233
Corrado Lattanzio and
Corrado Mascia and
Ramón G. Plaza and
Chiara Simeoni Kinetic schemes for assessing stability
of traveling fronts for the Allen--Cahn
equation with relaxation . . . . . . . . 234--247
Evgueni Dinvay and
Denys Dutykh and
Henrik Kalisch A comparative study of bi-directional
Whitham systems . . . . . . . . . . . . 248--262
Yanbing Yang and
Jiaheng Li and
Tao Yu Qualitative analysis of solutions for a
class of Kirchhoff equation with linear
strong damping term, nonlinear weak
damping term and power-type logarithmic
source term . . . . . . . . . . . . . . 263--285
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Roberto C. Cruz-Rodríguez and
Yuri N. Skiba and
Denis M. Filatov An implicit direct unconditionally
stable numerical algorithm for the
solution of advection-diffusion equation
on a sphere . . . . . . . . . . . . . . 1--15
Alicja Smoktunowicz and
Ryszard Kozera and
Gianluca Oderda Efficient numerical algorithms for
constructing orthogonal generalized
doubly stochastic matrices . . . . . . . 16--27
Wansheng Wang and
Qingguo Hong Two-grid economical algorithms for
parabolic integro-differential equations
with nonlinear memory . . . . . . . . . 28--46
Meng Li and
Dongyang Shi and
Junjun Wang and
Wanyuan Ming Unconditional superconvergence analysis
of the conservative linearized Galerkin
FEMs for nonlinear
Klein--Gordon--Schrödinger equation . . . 47--63
Bin Wang and
Xinyuan Wu A symplectic approximation with
nonlinear stability and convergence
analysis for efficiently solving
semi-linear Klein--Gordon equations . . 64--89
Qinjiao Gao and
Shenggang Zhang and
Jihong Zhang Adaptive moving knots meshless method
for Degasperis--Procesi equation with
conservation laws . . . . . . . . . . . 90--101
Silvia Gazzola and
Silvia Noschese and
Paolo Novati and
Lothar Reichel Arnoldi decomposition, GMRES, and
preconditioning for linear discrete
ill-posed problems . . . . . . . . . . . 102--121
Yang Xu and
Yanming Zhang and
Jingjun Zhao Error analysis of the Legendre--Gauss
collocation methods for the nonlinear
distributed-order fractional
differential equation . . . . . . . . . 122--138
H. Mahdi and
G. Hojjati and
A. Abdi On the numerical stability of the
general linear methods for Volterra
integro-differential equations . . . . . 139--150
A. V. Chikitkin and
B. V. Rogov Family of central bicompact schemes with
spectral resolution property for
hyperbolic equations . . . . . . . . . . 151--170
Zhaoxia Chen and
Lei Shi and
Siyao Liu and
Xiong You Trigonometrically fitted two-derivative
Runge--Kutta--Nyström methods for
second-order oscillatory differential
equations . . . . . . . . . . . . . . . 171--189
Dusan Lj. Djuki\'c and
Lothar Reichel and
Miodrag M. Spalevi\'c Internality of generalized averaged
Gaussian quadrature rules and truncated
variants for measures induced by
Chebyshev polynomials . . . . . . . . . 190--205
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Jinghua Xie and
Lijun Yi An $h$--$p$ version of the continuous
Petrov--Galerkin time stepping method
for nonlinear second-order delay
differential equations . . . . . . . . . 1--19
Matthew Kaplan and
David P. Nicholls A nonlinear least squares framework for
periodic grating identification with a
high-order perturbation of surfaces
implementation . . . . . . . . . . . . . 20--34
A. Abdi and
G. Hojjati and
Z. Jackiewicz and
H. Mahdi A new code for Volterra integral
equations based on natural Runge--Kutta
methods . . . . . . . . . . . . . . . . 35--50
W. A. Gunarathna and
H. M. Nasir and
W. B. Daundasekera An explicit form for higher order
approximations of fractional derivatives 51--60
Jianqiang Xie and
Zhiyue Zhang and
Dong Liang A conservative splitting difference
scheme for the fractional-in-space
Boussinesq equation . . . . . . . . . . 61--74
Quanxiang Wang and
Zhiyue Zhang A stabilized immersed finite volume
element method for elliptic interface
problems . . . . . . . . . . . . . . . . 75--87
Pengfei Wang and
Pengzhan Huang Convergence of the Crank--Nicolson
extrapolation scheme for the
Korteweg--de Vries equation . . . . . . 88--96
Jikun Zhao and
Bei Zhang and
Xiaopeng Zhu The nonconforming virtual element method
for parabolic problems . . . . . . . . . 97--111
Tamal Pramanick and
Rajen Kumar Sinha Error estimates for two-scale composite
finite element approximations of
parabolic equations with measure data in
time for convex and nonconvex polygonal
domains . . . . . . . . . . . . . . . . 112--132
Juan Chen and
Fangqi Chen Convergence of a high-order compact
finite difference scheme for the
Klein--Gordon--Schrödinger equations . . 133--145
Jingyong Tang and
Chengdai Huang and
Yongli Wang Predictor--corrector inexact smoothing
algorithm for symmetric cone
complementarity problems with Cartesian
P$_0$-property . . . . . . . . . . . . . 146--158
Maryam Bahmanpour and
Majid Tavassoli Kajani and
Mohammad Maleki Solving Fredholm integral equations of
the first kind using Müntz wavelets . . . 159--171
Weiping Shen and
Yaohua Hu and
Chong Li and
Jen-Chih Yao Convergence of the Newton-type methods
for the square inverse singular value
problems with multiple and zero singular
values . . . . . . . . . . . . . . . . . 172--187
Hailong Qiu and
Liquan Mei Multi-level stabilized algorithms for
the stationary incompressible
Navier--Stokes equations with damping 188--202
Mohammad Maleki and
Ali Davari Fractional retarded differential
equations and their numerical solution
via a multistep collocation method . . . 203--222
Yong Liu and
Chuan-Qing Gu Variant of greedy randomized Kaczmarz
for ridge regression . . . . . . . . . . 223--246
Lu Zhang and
Zhaojie Zhou Spectral Galerkin approximation of
optimal control problem governed by
Riesz fractional differential equation 247--262
Zhendong Gu Spectral collocation method for weakly
singular Volterra integro-differential
equations . . . . . . . . . . . . . . . 263--275
Pouria Assari and
Mehdi Dehghan A meshless local Galerkin method for
solving Volterra integral equations
deduced from nonlinear fractional
differential equations using the moving
least squares technique . . . . . . . . 276--299
Sushil Kumar and
Cécile Piret Numerical solution of space--time
fractional PDEs using RBF-QR and
Chebyshev polynomials . . . . . . . . . 300--315
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
F. Ghanbari and
P. Mokhtary and
K. Ghanbari On the numerical solution of a class of
linear fractional integro-differential
algebraic equations with weakly singular
kernels . . . . . . . . . . . . . . . . 1--20
Z. Soori and
A. Aminataei A new approximation to Caputo-type
fractional diffusion and advection
equations on non-uniform meshes . . . . 21--41
Yanping Chen and
Jinling Zhang and
Yunqing Huang and
Yeqing Xu A posteriori error estimates of hp
spectral element methods for integral
state constrained elliptic optimal
control problems . . . . . . . . . . . . 42--58
Fahimeh Saberi Zafarghandi and
Maryam Mohammadi Numerical approximations for the Riesz
space fractional advection-dispersion
equations via radial basis functions . . 59--82
Susanne Beckers and
Jörn Behrens and
Winnifried Wollner Duality based error estimation in the
presence of discontinuities . . . . . . 83--99
Mair Khan and
Arif Hussain and
M. Y. Malik and
T. Salahuddin and
Shaban Aly Numerical analysis of Carreau fluid flow
for generalized Fourier's and Fick's
laws . . . . . . . . . . . . . . . . . . 100--117
K. G. Eptaimeros and
C. Chr. Koutsoumaris and
G. J. Tsamasphyros Interior penalty discontinuous Galerkin
FEMs for a gradient beam and CNTs . . . 118--139
Armenak Petrosyan and
Hoang Tran and
Clayton Webster Reconstruction of jointly sparse vectors
via manifold optimization . . . . . . . 140--150
Jingjun Zhao and
Rui Zhan and
Yang Xu The analysis of operator splitting for
the Gardner equation . . . . . . . . . . 151--175
Azadeh Ghasemifard and
Mahdieh Tahmasebi Multilevel path simulation to
jump-diffusion process with superlinear
drift . . . . . . . . . . . . . . . . . 176--189
Mohammad Hossein Heydari Chebyshev cardinal wavelets for
nonlinear variable-order fractional
quadratic integral equations . . . . . . 190--203
Yanping Chen and
Yang Wang and
Yunqing Huang and
Longxia Fu Two-grid methods of expanded mixed
finite-element solutions for nonlinear
parabolic problems . . . . . . . . . . . 204--222
Hiba Fareed and
John R. Singler A note on incremental POD algorithms for
continuous time data . . . . . . . . . . 223--233
Raimund Bürger and
Daniel Inzunza and
Pep Mulet and
Luis M. Villada Implicit-explicit methods for a class of
nonlinear nonlocal gradient flow
equations modelling collective behaviour 234--252
Yunho Kim An unconstrained global optimization
framework for real symmetric eigenvalue
problems . . . . . . . . . . . . . . . . 253--275
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
P. Rahimkhani and
Y. Ordokhani and
P. M. Lima An improved composite collocation method
for distributed-order fractional
differential equations based on
fractional Chelyshkov wavelets . . . . . 1--27
Shuangshuang Chen and
Qiumei Huang A finite volume method for a coupled
fracture model with matching and
nonmatching grids . . . . . . . . . . . 28--47
Yuan Li and
Xuelan Luo Second-order semi-implicit
Crank--Nicolson scheme for a coupled
magnetohydrodynamics system . . . . . . 48--68
F. Soleymani and
M. Barfeie Pricing options under stochastic
volatility jump model: a stable adaptive
scheme . . . . . . . . . . . . . . . . . 69--89
Saravana Sankar Kalaiselvan and
John J. H. Miller and
Valarmathi Sigamani A parameter uniform numerical method for
a singularly perturbed two-parameter
delay differential equation . . . . . . 90--110
Peter Mtagulwa and
P. Kaelo An efficient modified PRP-FR hybrid
conjugate gradient method for solving
unconstrained optimization problems . . 111--120
Zhenhua Xu and
Chunhua Fang and
Hongrui Geng Fast computation of Bessel transform
with highly oscillatory integrands . . . 121--132
Huan Han A tensor voting based fractional-order
image denoising model and its numerical
algorithm . . . . . . . . . . . . . . . 133--144
Benxin Zhang and
Zhibin Zhu and
Chuanpei Xu A primal-dual multiplier method for
total variation image restoration . . . 145--158
Farid Bozorgnia and
Seyyed Abbas Mohammadi and
Tomás Vejchodský The first eigenvalue and eigenfunction
of a nonlinear elliptic system . . . . . 159--174
D. Adak and
S. Natarajan and
E. Natarajan Virtual element method for semilinear
elliptic problems on polygonal meshes 175--187
Önder Türk and
Ramon Codina Chebyshev spectral collocation method
approximations of the Stokes eigenvalue
problem based on penalty techniques . . 188--200
Pradip Roul and
V. M. K. Prasad Goura and
Harshita Madduri and
K. Obaidurrahman Design and stability analysis of an
implicit non-standard finite difference
scheme for fractional neutron point
kinetic equation . . . . . . . . . . . . 201--226
Jessica Cervi and
Raymond J. Spiteri A comparison of fourth-order operator
splitting methods for cardiac
simulations . . . . . . . . . . . . . . 227--235
Li-Ping Zhang and
Zi-Cai Li and
Hung-Tsai Huang and
Yimin Wei The modified method of fundamental
solutions for exterior problems of the
Helmholtz equation; spurious eigenvalues
and their removals . . . . . . . . . . . 236--260
Stephen Cook and
Chris Budd and
Adrian Hill and
Thomas Melvin Error estimates for semi-Lagrangian
finite difference methods applied to
Burgers' equation in one dimension . . . 261--282
M. D. Multerer A note on the domain mapping method with
rough diffusion coefficients . . . . . . 283--296
Tran Nhan Tam Quyen Finite element analysis for identifying
the reaction coefficient in PDE from
boundary observations . . . . . . . . . 297--314
Pradip Roul and
V. M. K. Prasad Goura and
Ravi Agarwal A new high order numerical approach for
a class of nonlinear derivative
dependent singular boundary value
problems . . . . . . . . . . . . . . . . 315--341
Pradip Roul and
Kiran Thula and
Ravi Agarwal Non-optimal fourth-order and optimal
sixth-order B-spline collocation methods
for Lane--Emden boundary value problems 342--360
Mahboub Baccouch Analysis of optimal superconvergence of
a local discontinuous Galerkin method
for nonlinear second-order two-point
boundary-value problems . . . . . . . . 361--383
Jing Sun and
Daxin Nie and
Weihua Deng Fast algorithms for convolution
quadrature of Riemann--Liouville
fractional derivative . . . . . . . . . 384--410
Meng Zhao and
Hong Wang Fast finite difference methods for
space--time fractional partial
differential equations in three space
dimensions with nonlocal boundary
conditions . . . . . . . . . . . . . . . 411--428
Mahmoud A. Zaky Existence, uniqueness and numerical
analysis of solutions of tempered
fractional boundary value problems . . . 429--457
Chiyu Chen and
Liping Zhang Finding Nash equilibrium for a class of
multi-person noncooperative games via
solving tensor complementarity problem 458--468
Jiyong Li and
Xinyuan Wu Energy-preserving continuous stage
extended Runge--Kutta--Nyström methods
for oscillatory Hamiltonian systems . . 469--487
Mostafa Abbaszadeh and
Mehdi Dehghan Numerical and analytical investigations
for neutral delay fractional damped
diffusion-wave equation based on the
stabilized interpolating element free
Galerkin (IEFG) method . . . . . . . . . 488--506
Aliyu Muhammed Awwal and
Poom Kumam and
Auwal Bala Abubakar A modified conjugate gradient method for
monotone nonlinear equations with convex
constraints . . . . . . . . . . . . . . 507--520
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Hui Zhang and
Xiaoyun Jiang Unconditionally convergent numerical
method for the two-dimensional nonlinear
time fractional diffusion-wave equation 1--12
Jun Zhang and
Xiaofeng Yang On efficient numerical schemes for a
two-mode phase field crystal model with
face-centered-cubic (FCC) ordering
structure . . . . . . . . . . . . . . . 13--37
B. Pedretscher and
B. Kaltenbacher and
O. Pfeiler Parameter identification and uncertainty
quantification in stochastic state space
models and its application to texture
analysis . . . . . . . . . . . . . . . . 38--54
Meiling Yue and
Hehu Xie and
Manting Xie A cascadic multigrid method for
nonsymmetric eigenvalue problem . . . . 55--72
Jiao Wen and
Chengming Huang and
Min Li Stability analysis of Runge--Kutta
methods for Volterra
integro-differential equations . . . . . 73--88
S. Wu and
B. Peng and
Z. F. Tian Exponential compact ADI method for a
coupled system of convection-diffusion
equations arising from the $2$D unsteady
magnetohydrodynamic (MHD) flows . . . . 89--122
S. S. Alzahrani and
A. Q. M. Khaliq and
T. A. Biala and
K. M. Furati Fourth-order time stepping methods with
matrix transfer technique for
space-fractional reaction-diffusion
equations . . . . . . . . . . . . . . . 123--144
Qiumei Huang and
Shanghui Jia and
Fei Xu and
Zhongwen Xu and
Changhui Yao Solvability of wave propagation with
Debye polarization in nonlinear
dielectric materials and its finite
element methods approximation . . . . . 145--164
Alexey S. Eremin Functional continuous Runge--Kutta
methods with reuse . . . . . . . . . . . 165--181
M. Saffarzadeh and
M. Heydari and
G. B. Loghmani Convergence analysis of an iterative
numerical algorithm for solving
nonlinear stochastic Itô-Volterra
integral equations with $m$-dimensional
Brownian motion . . . . . . . . . . . . 182--198
Prabir Daripa and
Sourav Dutta On the convergence analysis of a hybrid
numerical method for multicomponent
transport in porous media . . . . . . . 199--220
Christopher A. Kennedy and
Mark H. Carpenter Diagonally implicit Runge--Kutta methods
for stiff ODEs . . . . . . . . . . . . . 221--244
Romeo Martínez and
J. E. Macías-Díaz and
Ahmed S. Hendy Theoretical analysis of an explicit
energy-conserving scheme for a
fractional Klein--Gordon--Zakharov
system . . . . . . . . . . . . . . . . . 245--259
Yi Qin and
Yanren Hou The time filter for the non-stationary
coupled Stokes/Darcy model . . . . . . . 260--275
Wenwu Gao and
Zhengjie Sun High-order numerical solution of
time-dependent differential equations
with quasi-interpolation . . . . . . . . 276--290
Rodolfo Araya and
Manuel Solano and
Patrick Vega A posteriori error analysis of an HDG
method for the Oseen problem . . . . . . 291--308
Laura Grigori and
Qiang Niu and
Yingxiang Xu Stabilized dimensional factorization
preconditioner for solving
incompressible Navier--Stokes equations 309--327
Min-Hong Chen and
Wei Dou and
Qing-Biao Wu DPMHSS-based iteration methods for
solving weakly nonlinear systems with
complex coefficient matrices . . . . . . 328--341
Seyed Ali Rakhshan and
Sohrab Effati A generalized Legendre--Gauss
collocation method for solving nonlinear
fractional differential equations with
time varying delays . . . . . . . . . . 342--360
Rasool Hosseini and
Mehdi Tatari Some splitting methods for hyperbolic
PDEs . . . . . . . . . . . . . . . . . . 361--378
Aiguo Xiao and
Chenxi Wang and
Junjie Wang Conservative linearly-implicit
difference scheme for a class of
modified Zakharov systems with
high-order space fractional quantum
correction . . . . . . . . . . . . . . . 379--399
Sergio Blanes and
Fernando Casas and
Mechthild Thalhammer Splitting and composition methods with
embedded error estimators . . . . . . . 400--415
Rong Huang Accurate solutions of weighted least
squares problems associated with
rank-structured matrices . . . . . . . . 416--435
J. L. Gracia and
E. O'Riordan Parameter-uniform numerical methods for
singularly perturbed parabolic problems
with incompatible boundary-initial data 436--451
J. A. Ezquerro and
M. A. Hernández-Verón Domains of global convergence for a type
of nonlinear Fredholm--Nemytskii
integral equations . . . . . . . . . . . 452--468
Aiguo Xiao and
Junjie Wang Symplectic scheme for the Schrödinger
equation with fractional Laplacian . . . 469--487
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Ke Guo and
Deren Han Nonsymmetric proximal point algorithm
with moving proximal centers for
variational inequalities: convergence
analysis . . . . . . . . . . . . . . . . 1--18
A. Tamasan and
A. Timonov The method of regularized successive
iterations for coupled physics
conductivity imaging from a single
internal data . . . . . . . . . . . . . 19--30
Igor Boglaev Numerical solutions of nonlinear
integro-elliptic systems by monotone
iterative methods . . . . . . . . . . . 31--42
Sigrun Ortleb $ L^2 $-stability analysis of IMEX-($
\sigma, \mu $)DG schemes for linear
advection--diffusion equations . . . . . 43--65
Jiansong Zhang and
Xiaomang Shen and
Hui Guo and
Hongfei Fu and
Huiran Han Characteristic splitting mixed finite
element analysis of compressible
wormhole propagation . . . . . . . . . . 66--87
Sayer O. Alharbi and
Saleh M. Alzahrani An efficient solver for the numerical
solution of EM scattering problems by
many small dielectric circular obstacles 88--100
Ru-Ru Ma and
Zheng-Jian Bai A structure-preserving one-sided Jacobi
method for computing the SVD of a
quaternion matrix . . . . . . . . . . . 101--117
Dongyang Shi and
Qian Liu Unconditional superconvergent analysis
of a linearized finite element method
for Ginzburg--Landau equation . . . . . 118--128
Gonglin Yuan and
Tingting Li and
Wujie Hu A conjugate gradient algorithm for
large-scale nonlinear equations and
image restoration problems . . . . . . . 129--141
Kamran Kazmi and
Abdul Q. M. Khaliq An efficient split-step method for
distributed-order space-fractional
reaction--diffusion equations with
time-dependent boundary conditions . . . 142--160
Zhendong Luo and
Wenrui Jiang A reduced-order extrapolated
Crank--Nicolson finite spectral element
method for the $2$D non-stationary
Navier--Stokes equations about
vorticity-stream functions . . . . . . . 161--173
Zhiyue Zhang and
Dong Liang and
Quanxiang Wang Immersed finite element method and its
analysis for parabolic optimal control
problems with interfaces . . . . . . . . 174--195
G. Yu. Kulikov and
M. V. Kulikova NIRK-based Cholesky-factorized
square-root accurate continuous-discrete
unscented Kalman filters for state
estimation in nonlinear continuous-time
stochastic models with discrete
measurements . . . . . . . . . . . . . . 196--221
Jean Daniel Mukam and
Antoine Tambue Strong convergence of the linear
implicit Euler method for the finite
element discretization of semilinear
non-autonomous SPDEs driven by
multiplicative or additive noise . . . . 222--253
Wei Zhang Theoretical and numerical analysis of a
class of stochastic Volterra
integro-differential equations with
non-globally Lipschitz continuous
coefficients . . . . . . . . . . . . . . 254--276
Aihua Lin and
Anastasiia Kuzmina and
Per Kristen Jakobsen A boundary integral approach to linear
and nonlinear transient wave scattering 277--300
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
M. Ahmadinia and
Z. Safari Analysis of local discontinuous Galerkin
method for time-space fractional
sine-Gordon equations . . . . . . . . . 1--17
Md. Maqbul and
A. Raheem Time-discretization schema for a
semilinear pseudo-parabolic equation
with integral conditions . . . . . . . . 18--27
Deepika Sharma and
Kavita Goyal and
Rohit Kumar Singla A curvelet method for numerical solution
of partial differential equations . . . 28--44
Dongyang Shi and
Xu Jia Superconvergence analysis of two-grid
finite element method for nonlinear
Benjamin--Bona--Mahony equation . . . . 45--60
Afaf Bouharguane and
Nour Seloula The local discontinuous Galerkin method
for convection--diffusion--fractional
anti-diffusion equations . . . . . . . . 61--78
Pratibhamoy Das and
Subrata Rana and
Jesus Vigo-Aguiar Higher order accurate approximations on
equidistributed meshes for boundary
layer originated mixed type reaction
diffusion systems with multiple scale
nature . . . . . . . . . . . . . . . . . 79--97
Matt Majic A surface integral approach to Poisson's
equation and analytic expressions for
the gravitational field of toroidal mass
distributions . . . . . . . . . . . . . 98--108
N. Tamang and
B. Wongsaijai and
T. Mouktonglang and
K. Poochinapan Novel algorithm based on modification of
Galerkin finite element method to
general Rosenau--RLW equation in $ (2 +
1)$-dimensions . . . . . . . . . . . . . 109--130
Nicolas Gillis and
Michael Karow and
Punit Sharma A note on approximating the nearest
stable discrete-time descriptor systems
with fixed rank . . . . . . . . . . . . 131--139
M. V. Kutniv and
B. Y. Datsko and
A. V. Kunynets and
A. W\loch A new approach to constructing of
explicit one-step methods of high order
for singular initial value problems for
nonlinear ordinary differential
equations . . . . . . . . . . . . . . . 140--151
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Pedro Lima and
Teresa Diogo and
Luisa Fermo and
Neville J. Ford and
Yuesheng Xu Preface . . . . . . . . . . . . . . . . 1--2
Luisa Fermo and
Cornelis van der Mee and
Sebastiano Seatzu A numerical method to compute the
scattering solution for the KdV equation 3--16
Christopher T. H. Baker and
Neville J. Ford Characteristic functions of differential
equations with deviating arguments . . . 17--29
R. Campagna and
S. Cuomo and
S. De Marchi and
E. Perracchione and
G. Severino A stable meshfree PDE solver for
source-type flows in porous media . . . 30--42
E. V. Chistyakova and
V. F. Chistyakov Solution of differential algebraic
equations with the Fredholm operator by
the least squares method . . . . . . . . 43--51
P. Junghanns and
R. Kaiser A note on Kalandiya's method for a crack
problem . . . . . . . . . . . . . . . . 52--64
L. Fermo and
C. Laurita A Nyström method for mixed boundary value
problems in domains with corners . . . . 65--82
Giuseppe Mastroianni and
Incoronata Notarangelo Polynomial approximation with
Pollaczek-type weights. A survey . . . . 83--98
S. Nemati and
P. M. Lima and
S. Sedaghat Legendre wavelet collocation method
combined with the Gauss--Jacobi
quadrature for solving fractional
delay-type integro-differential
equations . . . . . . . . . . . . . . . 99--112
Donatella Occorsio and
Maria Grazia Russo A mixed scheme of product integration
rules in $ ( - 1, 1) $ . . . . . . . . . 113--123
Arvet Pedas and
Enn Tamme and
Mikk Vikerpuur Numerical solution of linear fractional
weakly singular integro-differential
equations with integral boundary
conditions . . . . . . . . . . . . . . . 124--140
J. A. Roberts and
N. I. Kavallaris and
A. P. Rowntree A discrete mutualism model: analysis and
exploration of a financial application 141--152
Mikhail Bulatov and
Liubov Solovarova Collocation---variation difference
schemes with several collocation points
for differential--algebraic equations 153--163
João C. Matos and
José A. Matos and
Maria João Rodrigues and
Paulo B. Vasconcelos Approximating the solution of
integro-differential problems via the
spectral Tau method with filtering . . . 164--175
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Theodore C. Holtom and
Anthony C. Brooms Error propagation analysis for a static
convergent beam triple LIDAR . . . . . . 1--17
Vincenzo Citro and
Raffaele D'Ambrosio Long-term analysis of stochastic $
\theta $-methods for damped stochastic
oscillators . . . . . . . . . . . . . . 18--26
Quanwei Ren and
Hongjiong Tian Compensated $ \theta $-Milstein methods
for stochastic differential equations
with Poisson jumps . . . . . . . . . . . 27--37
Dongyang Shi and
Ran Wang Unconditional superconvergence analysis
of a two-grid finite element method for
nonlinear wave equations . . . . . . . . 38--50
Francesco Dell'Accio and
Filomena Di Tommaso On the hexagonal Shepard method . . . . 51--64
Sanjar M. Abrarov and
Brendan M. Quine A rational approximation of the sinc
function based on sampling and the
Fourier transforms . . . . . . . . . . . 65--75
Woocheol Choi and
Sanghyun Lee Optimal error estimate of elliptic
problems with Dirac sources for
discontinuous and enriched Galerkin
methods . . . . . . . . . . . . . . . . 76--104
Yunying Zheng and
Zhengang Zhao The time discontinuous space--time
finite element method for fractional
diffusion-wave equation . . . . . . . . 105--116
Long Teng and
Aleksandr Lapitckii and
Michael Günther A multi-step scheme based on cubic
spline for solving backward stochastic
differential equations . . . . . . . . . 117--138
F. Shayanfard and
H. Laeli Dastjerdi and
F. M. Maalek Ghaini Collocation method for approximate
solution of Volterra
integro-differential equations of the
third-kind . . . . . . . . . . . . . . . 139--148
Haixia Dong and
Wenjun Ying and
Jiwei Zhang Maximum error estimates of a MAC scheme
for Stokes equations with Dirichlet
boundary conditions . . . . . . . . . . 149--163
A. Chakib and
A. Hadri and
A. Nachaoui and
M. Nachaoui Multiscale computational method for
nonlinear heat transmission problem in
periodic porous media . . . . . . . . . 164--181
Chengjian Zhang and
Cui Li and
Jingyao Jiang Extended block boundary value methods
for neutral equations with piecewise
constant argument . . . . . . . . . . . 182--193
Xiaoqin Shen and
Qian Yang and
Linjin Li and
Zhiming Gao and
Tiantian Wang Numerical approximation of the dynamic
Koiter's model for the hyperbolic
parabolic shell . . . . . . . . . . . . 194--205
Yayu Guo and
Hongen Jia and
Jichun Li and
Ming Li Numerical analysis for the
Cahn--Hilliard--Hele--Shaw system with
variable mobility and logarithmic
Flory--Huggins potential . . . . . . . . 206--221
Davoud Mirzaei On analysis of kernel collocation
methods for spherical PDEs . . . . . . . 222--232
Ross Glandon and
Paul Tranquilli and
Adrian Sandu Biorthogonal Rosenbrock--Krylov time
discretization methods . . . . . . . . . 233--251
Stefano Giani and
Mohammed Seaid Multi-hp adaptive discontinuous Galerkin
methods for simplified $ P_N $
approximations of $3$D radiative
transfer in non-gray media . . . . . . . 252--273
Mostafa Abbaszadeh and
Mehdi Dehghan Investigation of the Oldroyd model as a
generalized incompressible
Navier--Stokes equation via the
interpolating stabilized element free
Galerkin technique . . . . . . . . . . . 274--294
Congpei An and
Yuchen Xiao Numerical construction of spherical
$t$-designs by Barzilai--Borwein method 295--302
A. Ihsan Hascelik Efficient computation of highly
oscillatory Fourier-type integrals with
monomial phase functions and Jacobi-type
singularities . . . . . . . . . . . . . 303--312
Harendra Singh and
D. Baleanu and
H. M. Srivastava and
Hemen Dutta and
Navin Kumar Jha Solution of multi-dimensional Fredholm
equations using Legendre scaling
functions . . . . . . . . . . . . . . . 313--324
Maryam Kamranian and
Mehdi Tatari and
Mehdi Dehghan Analysis of the stabilized element free
Galerkin approximations to the Stoke's
equations . . . . . . . . . . . . . . . 325--340
Long Yuan A combined scheme of the local spectral
element method and the generalized plane
wave discontinuous Galerkin method for
the anisotropic Helmholtz equation . . . 341--360
Wenjia Liu and
Yanren Hou and
Dandan Xue Numerical analysis of a 4th-order time
parallel algorithm for the
time-dependent Navier--Stokes equations 361--383
Rong An Error analysis of a time-splitting
method for incompressible flows with
variable density . . . . . . . . . . . . 384--395
Dan Li and
Chunmei Wang and
Junping Wang Superconvergence of the gradient
approximation for weak Galerkin finite
element methods on nonuniform
rectangular partitions . . . . . . . . . 396--417
Xiuxiu Lin and
Yanping Chen and
Yunqing Huang Galerkin spectral approximation of
optimal control problems with $ L^2
$-norm control constraint . . . . . . . 418--432
J. K. Liu and
Y. X. Zhao and
X. L. Wu Some three-term conjugate gradient
methods with the new direction structure 433--443
Ahmed Al-Taweel and
Xiaoshen Wang A note on the optimal degree of the weak
gradient of the stabilizer free weak
Galerkin finite element method . . . . . 444--451
Khadijeh Nedaiasl and
Raziyeh Dehbozorgi and
Khosrow Maleknejad hp-version collocation method for a
class of nonlinear Volterra integral
equations of the first kind . . . . . . 452--477
Sadegh Amiri and
Mojtaba Hajipour and
Dumitru Baleanu On accurate solution of the Fredholm
integral equations of the second kind 478--490
Zhengguang Liu and
Xiaoli Li Two fast and efficient linear
semi-implicit approaches with
unconditional energy stability for
nonlocal phase field crystal equation 491--506
M. H. Heydari Numerical solution of nonlinear $2$D
optimal control problems generated by
Atangana--Riemann--Liouville
fractal--fractional derivative . . . . . 507--518
Yung-Ta Li and
Po-Yu Lin and
Chun-Hao Teng Inverse matrices for pseudospectral
differentiation operators in polar
coordinates by stepwise integrations and
low-rank updates . . . . . . . . . . . . 519--535
A. Moradi and
A. Abdi and
J. Farzi Strong stability preserving second
derivative diagonally implicit
multistage integration methods . . . . . 536--558
C. A. Arias and
H. J. Martínez and
R. Pérez Global inexact quasi-Newton method for
nonlinear system of equations with
constraints . . . . . . . . . . . . . . 559--575
Manisha Chowdhury and
B. V. Rathish Kumar On subgrid multiscale stabilized finite
element method for
advection--diffusion--reaction equation
with variable coefficients . . . . . . . 576--586
Changpin Li and
Zhen Wang The local discontinuous Galerkin finite
element methods for Caputo-type partial
differential equations: mathematical
analysis . . . . . . . . . . . . . . . . 587--606
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Junjie Ma and
Hongchao Kang Frequency-explicit convergence analysis
of collocation methods for highly
oscillatory Volterra integral equations
with weak singularities . . . . . . . . 1--12
Wei Shi and
Xinyuan Wu and
Kai Liu Efficient implementation of the ARKN and
ERKN integrators for multi-frequency
oscillatory systems with multiple time
scales . . . . . . . . . . . . . . . . . 13--26
Hussein Sahihi and
Tofigh Allahviranloo and
Saeid Abbasbandy Solving system of second-order BVPs
using a new algorithm based on
reproducing kernel Hilbert space . . . . 27--39
J. E. Macías-Díaz Existence of solutions of an explicit
energy-conserving scheme for a
fractional Klein--Gordon--Zakharov
system . . . . . . . . . . . . . . . . . 40--43
Dongdong He and
Kejia Pan and
Hongling Hu A spatial fourth-order maximum principle
preserving operator splitting scheme for
the multi-dimensional fractional
Allen--Cahn equation . . . . . . . . . . 44--63
Jilian Wu and
Leilei Wei and
Xinlong Feng Novel fractional time-stepping
algorithms for natural convection
problems with variable density . . . . . 64--84
Chaolong Jiang and
Yushun Wang and
Yuezheng Gong Arbitrarily high-order energy-preserving
schemes for the Camassa--Holm equation 85--97
Jan Glaubitz and
Philipp Öffner Stable discretisations of high-order
discontinuous Galerkin methods on
equidistant and scattered points . . . . 98--118
M. R. Eslahchi and
Sakine Esmaili The convergence and stability analysis
of a numerical method for solving a
mathematical model of language
competition . . . . . . . . . . . . . . 119--140
Meng Li and
Dongyang Shi and
Lifang Pei Convergence and superconvergence
analysis of finite element methods for
the time fractional diffusion equation 141--160
JaEun Ku and
Lothar Reichel A novel iterative method for discrete
Helmholtz decomposition . . . . . . . . 161--171
Dingwen Deng and
Dong Liang The energy-preserving finite difference
methods and their analyses for system of
nonlinear wave equations in two
dimensions . . . . . . . . . . . . . . . 172--198
Leijie Qiao and
Zhibo Wang and
Da Xu An alternating direction implicit
orthogonal spline collocation method for
the two dimensional multi-term time
fractional integro-differential equation 199--212
Jing Wen and
Jian Su and
Yinnian He and
Hongbin Chen Discontinuous Galerkin method for the
nonlinear Biot's model . . . . . . . . . 213--228
Michael D. Bragin and
Boris V. Rogov Conservative limiting method for
high-order bicompact schemes as applied
to systems of hyperbolic equations . . . 229--245
Jiankang Shi and
Minghua Chen A second-order accurate scheme for
two-dimensional space fractional
diffusion equations with time
Caputo--Fabrizio fractional derivative 246--262
Jun Zhang and
Chuanjun Chen and
Xiaofeng Yang Efficient and energy stable method for
the Cahn--Hilliard phase-field model for
diblock copolymers . . . . . . . . . . . 263--281
M. Bra\'s and
Z. Jackiewicz A new class of efficient general linear
methods for ordinary differential
equations . . . . . . . . . . . . . . . 282--300
Haie Long and
Bo Han and
Shanshan Tong A proximal regularized
Gauss--Newton--Kaczmarz method and its
acceleration for nonlinear ill-posed
problems . . . . . . . . . . . . . . . . 301--321
Sedaghat Shahmorad and
M. H. Ostadzad and
D. Baleanu A Tau-like numerical method for solving
fractional delay integro-differential
equations . . . . . . . . . . . . . . . 322--336
Xiang-Gui Li and
Yongyong Cai and
Pengde Wang Operator-compensation methods with mass
and energy conservation for solving the
Gross--Pitaevskii equation . . . . . . . 337--353
Shengwei Yao and
Qinliang Feng and
Lue Li and
Jieqiong Xu A class of globally convergent
three-term Dai-Liao conjugate gradient
methods . . . . . . . . . . . . . . . . 354--366
Chaobao Huang and
Na An and
Xijun Yu A local discontinuous Galerkin method
for time-fractional diffusion equation
with discontinuous coefficient . . . . . 367--379
Thanh Hai Ong and
Thi-Thao-Phuong Hoang Optimized Schwarz and finite element
cell-centered method for heterogeneous
anisotropic diffusion problems . . . . . 380--401
G. Gumah and
M. F. M. Naser and
M. Al-Smadi and
S. K. Q. Al-Omari and
D. Baleanu Numerical solutions of hybrid fuzzy
differential equations in a Hilbert
space . . . . . . . . . . . . . . . . . 402--412
J. Calatayud and
J.-C. Cortés and
J. A. Díaz and
M. Jornet Constructing reliable approximations of
the probability density function to the
random heat PDE via a finite difference
scheme . . . . . . . . . . . . . . . . . 413--424
Fatemeh Panjeh Ali Beik and
Mehdi Najafi-Kalyani and
Lothar Reichel Iterative Tikhonov regularization of
tensor equations based on the Arnoldi
process and some of its generalizations 425--447
Pin Lyu and
Yuxiang Liang and
Zhibo Wang A fast linearized finite difference
method for the nonlinear multi-term
time-fractional wave equation . . . . . 448--471
Pradip Roul A high accuracy numerical method and its
convergence for time-fractional
Black--Schole's equation governing
European options . . . . . . . . . . . . 472--493
Shan Li and
Zhenyan Lai and
Lusha Jin and
Xuhong Yu Diagonalized Gegenbauer rational
spectral methods for second- and
fourth-order problems on the whole line 494--516
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Gonglin Yuan and
Junyu Lu and
Zhan Wang The PRP conjugate gradient algorithm
with a modified WWP line search and its
application in the image restoration
problems . . . . . . . . . . . . . . . . 1--11
Sanjib Kumar Acharya and
Kamana Porwal Primal hybrid finite element method for
fourth order parabolic problems . . . . 12--28
Toby Sanders and
Rodrigo B. Platte and
Robert D. Skeel Effective new methods for automated
parameter selection in regularized
inverse problems . . . . . . . . . . . . 29--48
Heiko Gimperlein and
Ceyhun Özdemir and
Ernst P. Stephan A time-dependent FEM-BEM coupling method
for fluid-structure interaction in 3 $d$ 49--65
Nilofar Nahid and
Gnaneshwar Nelakanti Convergence analysis of Galerkin and
multi-Galerkin methods on unbounded
interval using Hermite polynomials . . . 66--83
Shuangshuang Li and
Lina Wang and
Lijun Yi An hp-version of the $ C^0 $-continuous
Petrov--Galerkin method for second-order
Volterra integro-differential equations 84--104
Dirk Praetorius and
Michele Ruggeri and
Ernst P. Stephan The saturation assumption yields optimal
convergence of two-level adaptive BEM 105--124
Gang Peng and
Zhiming Gao and
Wenjing Yan and
Xinlong Feng A positivity-preserving finite volume
scheme for three-temperature radiation
diffusion equations . . . . . . . . . . 125--140
Mahesh Narayanamurthi and
Adrian Sandu Efficient implementation of partitioned
stiff exponential Runge--Kutta methods 141--158
A. Badahmane Regularized preconditioned GMRES and the
regularized iteration method . . . . . . 159--168
Da Xu and
Jing Guo and
Wenlin Qiu Time two-grid algorithm based on finite
difference method for two-dimensional
nonlinear fractional evolution equations 169--184
M. Monir Uddin Structure preserving model order
reduction of a class of second-order
descriptor systems via balanced
truncation . . . . . . . . . . . . . . . 185--198
Pengtao Sun and
Cheng Wang Distributed Lagrange
multiplier/fictitious domain finite
element method for Stokes/parabolic
interface problems with jump
coefficients . . . . . . . . . . . . . . 199--220
Vincenzo Citro and
Raffaele D'Ambrosio Nearly conservative multivalue methods
with extended bounded parasitism . . . . 221--230
Fadi Awawdeh and
Linda Smail Convergence analysis of a highly
accurate Nyström scheme for Fredholm
integral equations . . . . . . . . . . . 231--242
Junyue Cao and
Jinzhao Wu A conjugate gradient algorithm and its
applications in image restoration . . . 243--252
Shina D. Oloniiju and
Sicelo P. Goqo and
Precious Sibanda A Chebyshev pseudo-spectral method for
the multi-dimensional fractional
Rayleigh problem for a generalized
Maxwell fluid with Robin boundary
conditions . . . . . . . . . . . . . . . 253--266
John P. Roop Discretization of fractional boundary
value problems using split operator
local extension problems . . . . . . . . 267--274
Qiaohua Liu and
Shufang Jin and
Lei Yao and
Dongmei Shen The revisited total least squares
problems with linear equality constraint 275--284
Mahboub Baccouch and
Helmi Temimi and
Mohamed Ben-Romdhane The discontinuous Galerkin method for
stochastic differential equations driven
by additive noises . . . . . . . . . . . 285--309
Ghaleb Gumah and
Shrideh Al-Omari and
Dumitru Baleanu Soft computing technique for a system of
fuzzy Volterra integro-differential
equations in a Hilbert space . . . . . . 310--322
D. J. Liu and
Z. R. Chen The adaptive finite element method for
the $P$-Laplace problem . . . . . . . . 323--337
Peter Benner and
Matthias Heinkenschloss and
Jens Saak and
Heiko K. Weichelt Efficient solution of large-scale
algebraic Riccati equations associated
with index-2 DAEs via the inexact
low-rank Newton--ADI method . . . . . . 338--354
Zhe Yu and
Boying Wu and
Jiebao Sun and
Wenjie Liu A generalized-Jacobi-function spectral
method for space--time fractional
reaction--diffusion equations with
viscosity terms . . . . . . . . . . . . 355--378
Siqing Gan and
Youzi He and
Xiaojie Wang Tamed Runge--Kutta methods for SDEs with
super-linearly growing drift and
diffusion coefficients . . . . . . . . . 379--402
Xiaoli Li and
Hongxing Rui Stability and convergence based on the
finite difference method for the
nonlinear fractional cable equation on
non-uniform staggered grids . . . . . . 403--421
Zhao-Zheng Liang and
Owe Axelsson and
Guo-Feng Zhang Efficient iterative solvers for a
complex valued two-by-two block linear
system with application to parabolic
optimal control problems . . . . . . . . 422--445
Weiping Bu and
Lun Ji and
Yifa Tang and
Jie Zhou Space--time finite element method for
the distributed-order time fractional
reaction diffusion equations . . . . . . 446--465
M. P. Calvo and
J. M. Sanz-Serna and
Beibei Zhu High-order stroboscopic averaging
methods for highly oscillatory delay
problems . . . . . . . . . . . . . . . . 466--479
Bianru Cheng and
Dongling Wang and
Wei Yang Energy preserving relaxation method for
space-fractional nonlinear Schrödinger
equation . . . . . . . . . . . . . . . . 480--498
Liping Zhang and
Hung-Yuan Fan and
Eric King-Wah Chu Krylov subspace methods for
discrete-time algebraic Riccati
equations . . . . . . . . . . . . . . . 499--510
V. Citro and
F. Giannetti and
J. Sierra Optimal explicit Runge--Kutta methods
for compressible Navier--Stokes
equations . . . . . . . . . . . . . . . 511--526
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Zhihao Ge and
Yanan He and
Yinnian He A lowest equal-order stabilized mixed
finite element method based on
multiphysics approach for a
poroelasticity model . . . . . . . . . . 1--14
Philipp Öffner and
Davide Torlo Arbitrary high-order, conservative and
positivity preserving Patankar-type
deferred correction schemes . . . . . . 15--34
Hui Duan and
Xinjuan Chen and
Jae-Hun Jung On the consistency of the finite
difference approximation with the
Riemann--Liouville fractional derivative
for $ 0 < \alpha < 1 $ . . . . . . . . . . 35--51
Yonghui Qin and
Heping Ma Legendre-tau-Galerkin and spectral
collocation method for nonlinear
evolution equations . . . . . . . . . . 52--65
Wei Liu and
Xuerong Mao and
Jingwen Tang and
Yue Wu Truncated Euler--Maruyama method for
classical and time-changed
non-autonomous stochastic differential
equations . . . . . . . . . . . . . . . 66--81
Ankita Shukla and
Mani Mehra Compact filtering as a regularization
technique for a backward heat conduction
problem . . . . . . . . . . . . . . . . 82--97
Hengguang Li and
Qinghui Zhang A meshfree finite volume method with
optimal numerical integration and direct
imposition of essential boundary
conditions . . . . . . . . . . . . . . . 98--113
Lynn Boen and
Karel J. in 't Hout Operator splitting schemes for American
options under the two-asset Merton
jump-diffusion model . . . . . . . . . . 114--131
Wansheng Wang and
Jiao Tang Efficient exponential splitting spectral
methods for linear Schrödinger equation
in the semiclassical regime . . . . . . 132--146
Sio Wan Ng and
Siu-Long Lei and
Juan Lu and
Zhiguo Gong Speeding up SimRank computations by
polynomial preconditioners . . . . . . . 147--163
M. H. Heydari A computational method for a class of
systems of nonlinear variable-order
fractional quadratic integral equations 164--178
Zhong Du and
Bo Tian and
Qi-Xing Qu and
Xiao-Yu Wu and
Xue-Hui Zhao Vector rational and semi-rational rogue
waves for the coupled cubic-quintic
nonlinear Schrödinger system in a
non-Kerr medium . . . . . . . . . . . . 179--187
V. Dhanya Varma and
Nagaiah Chamakuri and
Suresh Kumar Nadupuri Discontinuous Galerkin solution of the
convection--diffusion--reaction
equations in fluidized beds . . . . . . 188--201
H. Temimi and
M. Ben-Romdhane and
M. Baccouch and
M. O. Musa A two-branched numerical solution of the
two-dimensional Bratu's problem . . . . 202--216
Jamilu Sabi'u and
Abdullah Shah and
Mohammed Yusuf Waziri Two optimal Hager--Zhang conjugate
gradient methods for solving monotone
nonlinear equations . . . . . . . . . . 217--233
Xiangcheng Zheng and
V. J. Ervin and
Hong Wang Wellposedness of the two-sided variable
coefficient Caputo flux fractional
diffusion equation and error estimate of
its spectral approximation . . . . . . . 234--247
Vahid Mohammadi and
Mehdi Dehghan A meshless technique based on
generalized moving least squares
combined with the second-order
semi-implicit backward differential
formula for numerically solving
time-dependent phase field models on the
spheres . . . . . . . . . . . . . . . . 248--275
Anthony C. Brooms and
Theodore C. Holtom Volumetric uncertainty bounds and
optimal configurations for converging
beam triple LIDAR . . . . . . . . . . . 276--299
M. Ramezani and
R. Mokhtari and
G. Haase Some high order formulae for
approximating Caputo fractional
derivatives . . . . . . . . . . . . . . 300--318
Yunxia Hu and
Hongwei Li and
Ziwen Jiang Efficient semi-implicit compact finite
difference scheme for nonlinear
Schrödinger equations on unbounded domain 319--343
T. E. Simos and
Ch. Tsitouras Explicit, ninth order, two step methods
for solving inhomogeneous linear
problems $ x''(t) = \Lambda x(t) + f(t)
$ . . . . . . . . . . . . . . . . . . . 344--351
Changying Liu and
Xinyuan Wu Nonlinear stability and convergence of
ERKN integrators for solving nonlinear
multi-frequency highly oscillatory
second-order ODEs with applications to
semi-linear wave equations . . . . . . . 352--380
Tanushree Ray and
Rajen Kumar Sinha An adaptive finite element method for
semilinear parabolic interface problems
with nonzero flux jump . . . . . . . . . 381--398
Mingfa Fei and
Nan Wang and
Chengming Huang and
Xiaohua Ma A second-order implicit difference
scheme for the nonlinear time-space
fractional Schrödinger equation . . . . . 399--411
Devendra Kumar and
Parvin Kumari Parameter-uniform numerical treatment of
singularly perturbed initial-boundary
value problems with large delay . . . . 412--429
Juan Chen and
Fangqi Chen Unconditional $ L_\infty $ convergence
of a compact ADI scheme for coupled
nonlinear Schrödinger system . . . . . . 430--442
A. Karimi Dizicheh and
S. Salahshour and
A. Ahmadian and
D. Baleanu A novel algorithm based on the Legendre
wavelets spectral technique for solving
the Lane--Emden equations . . . . . . . 443--456
Junjun Wang Superconvergence analysis of an energy
stable scheme for nonlinear
reaction--diffusion equation with BDF
mixed FEM . . . . . . . . . . . . . . . 457--472
Robin Ahrens and
Sabine Le Borne Tensor trains and moment conservation
for multivariate aggregation in
population balance modeling . . . . . . 473--491
M. Esmaeilbeigi and
O. Chatrabgoun and
A. Hosseinian-Far and
R. Montasari and
A. Daneshkhah A low cost and highly accurate technique
for big data spatial-temporal
interpolation . . . . . . . . . . . . . 492--502
Raziyeh Erfanifar and
Khosro Sayevand and
Hamid Esmaeili A novel iterative method for the
solution of a nonlinear matrix equation 503--518
Jun Zhu and
Chi-Wang Shu and
Jianxian Qiu High-order Runge--Kutta discontinuous
Galerkin methods with a new type of
multi-resolution WENO limiters on
triangular meshes . . . . . . . . . . . 519--539
Esmaeil Najafi Smoothing transformation for numerical
solution of nonlinear weakly singular
Volterra integral equations using
quasilinearization and product
integration methods . . . . . . . . . . 540--557
Pradip Roul A fourth-order non-uniform mesh optimal
B-spline collocation method for solving
a strongly nonlinear singular boundary
value problem describing
electrohydrodynamic flow of a fluid . . 558--574
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Shelly Arora and
Rajiv Jain and
V. K. Kukreja Solution of
Benjamin--Bona--Mahony--Burgers equation
using collocation method with quintic
Hermite splines . . . . . . . . . . . . 1--16
Wei Zhang Convergence of the balanced Euler method
for a class of stochastic Volterra
integro-differential equations with
non-globally Lipschitz continuous
coefficients . . . . . . . . . . . . . . 17--35
Yoshitaka Watanabe and
Takehiko Kinoshita and
Mitsuhiro T. Nakao Some improvements of invertibility
verifications for second-order linear
elliptic operators . . . . . . . . . . . 36--46
Li-Ping Zhang and
Zi-Cai Li and
Zhen Chen and
Hung-Tsai Huang The Laplace equation in three dimensions
by the method of fundamental solutions
and the method of particular solutions 47--69
Qingyun Yao and
Yi Li and
Haibing Wang Numerical solutions of the forward and
inverse problems arising in diffuse
optical tomography . . . . . . . . . . . 70--89
Bingquan Ji and
Luming Zhang and
Qihang Sun A dissipative finite difference Fourier
pseudo-spectral method for the symmetric
regularized long wave equation with
damping mechanism . . . . . . . . . . . 90--103
Jiajia Pan and
Huiyuan Li A new collocation method using
near-minimal Chebyshev quadrature nodes
on a square . . . . . . . . . . . . . . 104--128
Yi Li and
Yanren Hou Error estimates of a second-order
decoupled scheme for the evolutionary
Stokes--Darcy system . . . . . . . . . . 129--148
J. E. Macías-Díaz A fully explicit variational integrator
for multidimensional systems of coupled
nonlinear fractional hyperbolic
equations . . . . . . . . . . . . . . . 149--171
Mostafa Abbaszadeh and
Mehdi Dehghan Interior penalty discontinuous Galerkin
technique for solving generalized
Sobolev equation . . . . . . . . . . . . 172--186
C. Fischer and
K. Zourmba and
A. Mohamadou Lyapunov exponents spectrum estimation
of fractional order nonlinear systems
using Cloned Dynamics . . . . . . . . . 187--204
Mahmoud A. Zaky An accurate spectral collocation method
for nonlinear systems of fractional
differential equations and related
integral equations with nonsmooth
solutions . . . . . . . . . . . . . . . 205--222
G. Yu. Kulikov and
R. Weiner Variable-stepsize doubly
quasi-consistent singly diagonally
implicit two-step peer pairs for solving
stiff ordinary differential equations 223--242
Qian Liu and
Dongyang Shi New error analysis of a second order BDF
scheme for unsteady natural convection
problem . . . . . . . . . . . . . . . . 243--259
H. Hassani and
J. A. Tenreiro Machado and
E. Naraghirad An efficient numerical technique for
variable order time fractional nonlinear
Klein--Gordon equation . . . . . . . . . 260--272
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Roberto Garrappa and
Cinzia Elia and
Luca Gerardo-Giorda and
Alessandro Pugliese and
Giuseppe Vacca Structural dynamical systems:
computational aspects . . . . . . . . . 1--2
Luca Dieci Sliding integration with no projection 3--15
M. N. Kapetina and
A. Pisano and
M. R. Rapai\'c and
E. Usai Adaptive unit-vector law with
time-varying gain for finite-time
parameter estimation in LTI systems . . 16--28
Eleonora Messina and
Eugenio Chioccarelli and
Georgios Baltzopoulos and
Antonia Vecchio Numerical analysis of the dynamics of
rigid blocks subjected to support
excitation . . . . . . . . . . . . . . . 29--37
Angela Martiradonna and
Gianpiero Colonna and
Fasma Diele GeCo: Geometric Conservative nonstandard
schemes for biochemical systems . . . . 38--57
F. Iavernaro and
F. Mazzia and
M. S. Mukhametzhanov and
Ya.D. Sergeyev Conjugate-symplecticity properties of
Euler--Maclaurin methods and their
implementation on the Infinity Computer 58--72
Florian Monteghetti and
Denis Matignon and
Estelle Piot Time-local discretization of fractional
and related diffusive operators using
Gaussian quadrature with applications 73--92
Alessandra Jannelli and
Marianna Ruggieri and
Maria Paola Speciale Numerical solutions of space-fractional
advection--diffusion equations with
nonlinear source term . . . . . . . . . 93--102
M. Abundo and
G. Ascione and
M. F. Carfora and
E. Pirozzi A fractional PDE for first passage time
of time-changed Brownian motion and its
numerical solution . . . . . . . . . . . 103--118
G. M. Coclite and
A. Fanizzi and
L. Lopez and
F. Maddalena and
S. F. Pellegrino Numerical methods for the nonlocal wave
equation of the peridynamics . . . . . . 119--139
F. Dassi and
G. Vacca Bricks for the mixed high-order virtual
element method: Projectors and
differential operators . . . . . . . . . 140--159
Lorenzo Mascotto and
Alexander Pichler Extension of the nonconforming Trefftz
virtual element method to the Helmholtz
problem with piecewise constant wave
number . . . . . . . . . . . . . . . . . 160--180
Sabrina Francesca Pellegrino On the implementation of a finite
volumes scheme with monotone
transmission conditions for scalar
conservation laws on a star-shaped
network . . . . . . . . . . . . . . . . 181--191
Alessandro Alla and
Luca Saluzzi A HJB-POD approach for the control of
nonlinear PDEs on a tree structure . . . 192--207
M. Falcone and
S. Finzi Vita A new mathematical model for traveling
sand dunes: analysis and approximation 208--225
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Jian Meng and
Yongchao Zhang and
Liquan Mei A virtual element method for the
Laplacian eigenvalue problem in mixed
form . . . . . . . . . . . . . . . . . . 1--13
A. Moradi and
M. Sharifi and
A. Abdi Transformed implicit--explicit second
derivative diagonally implicit
multistage integration methods with
strong stability preserving explicit
part . . . . . . . . . . . . . . . . . . 14--31
Kejia Pan and
Junyi Xia and
Dongdong He and
Qifeng Zhang A three-level linearized difference
scheme for nonlinear Schrödinger equation
with absorbing boundary conditions . . . 32--49
Xiujun Cheng and
Hongyu Qin and
Jiwei Zhang A compact ADI scheme for two-dimensional
fractional sub-diffusion equation with
Neumann boundary condition . . . . . . . 50--62
F. R. de Oliveira and
O. P. Ferreira Inexact Newton method with feasible
inexact projections for solving
constrained smooth and nonsmooth
equations . . . . . . . . . . . . . . . 63--76
Yayun Fu and
Wenjun Cai and
Yushun Wang Structure-preserving algorithms for the
two-dimensional fractional
Klein--Gordon--Schrödinger equation . . . 77--93
Zaid Odibat and
Dumitru Baleanu Numerical simulation of initial value
problems with generalized Caputo-type
fractional derivatives . . . . . . . . . 94--105
Sara Pollock and
Yunrong Zhu Discrete comparison principles for
quasilinear elliptic PDE . . . . . . . . 106--124
Zhiqiang Sheng and
Guangwei Yuan and
Jingyan Yue A nonlinear convex combination in the
construction of finite volume scheme
satisfying maximum principle . . . . . . 125--139
Medine Demir and
Songül Kaya An analysis of a linearly extrapolated
BDF2 subgrid artificial viscosity method
for incompressible flows . . . . . . . . 140--157
Xiaoguang Zhang and
Hong Du A generalized collocation method in
reproducing kernel space for solving a
weakly singular Fredholm
integro-differential equations . . . . . 158--173
Ali Khademi and
Jon Eivind Vatne Estimation of the interpolation error
for semiregular prismatic elements . . . 174--191
Victor Calo and
Peter Minev and
Vladimir Puzyrev Splitting schemes for phase-field models 192--209
Fei Xu and
Meiling Yue and
Qiumei Huang and
Hongkun Ma An asymptotically exact a posteriori
error estimator for non-selfadjoint
Steklov eigenvalue problem . . . . . . . 210--227
Akram Karimi and
Khosrow Maleknejad and
Reza Ezzati Numerical solutions of system of
two-dimensional Volterra integral
equations via Legendre wavelets and
convergence . . . . . . . . . . . . . . 228--241
Adrian Sandu Convergence results for
implicit-explicit general linear methods 242--264
Ahmed Jabbar Hussein A weak Galerkin finite element method
for solving time-fractional coupled
Burgers' equations in two dimensions . . 265--275
Ahmed S. Hendy and
Mahmoud A. Zaky Global consistency analysis of
L1--Galerkin spectral schemes for
coupled nonlinear space--time fractional
Schrödinger equations . . . . . . . . . . 276--302
Huili Zhang and
Xinlong Feng and
Kun Wang Long time error estimates of IFE methods
for the unsteady multi-layer porous wall
model . . . . . . . . . . . . . . . . . 303--321
Huiqing Xie and
Meng Chen An incomplete modal method for
eigenvector derivatives of polynomial
eigenvalue problems . . . . . . . . . . 322--345
Huan-Yan Jian and
Ting-Zhu Huang and
Xian-Ming Gu and
Yong-Liang Zhao Fast compact implicit integration factor
method with non-uniform meshes for the
two-dimensional nonlinear Riesz
space-fractional reaction-diffusion
equation . . . . . . . . . . . . . . . . 346--363
Nasser Sweilam and
Seham Al-Mekhlafi and
Salma Shatta and
Dumitru Baleanu Numerical study for two types
variable-order Burgers' equations with
proportional delay . . . . . . . . . . . 364--376
Dajana Conte Dynamical low-rank approximation to the
solution of parabolic differential
equations . . . . . . . . . . . . . . . 377--384
Babak Shiri and
Guo-Cheng Wu and
Dumitru Baleanu Collocation methods for terminal value
problems of tempered fractional
differential equations . . . . . . . . . 385--395
Sayed Sayari and
Abdelhamid Zaghdani and
Miled El Hajji Analysis of HDG method for the
reaction--diffusion equations . . . . . 396--409
Xu Dong and
Xin-Hui Shao and
Hai-Long Shen A new SOR-like method for solving
absolute value equations . . . . . . . . 410--421
Thomas Ranner A stable finite element method for low
inertia undulatory locomotion in three
dimensions . . . . . . . . . . . . . . . 422--445
Junjie Wang and
Hongbin Dai and
Yuanxian Hui Conservative Fourier spectral scheme for
higher order Klein--Gordon--Schrödinger
equations . . . . . . . . . . . . . . . 446--466
Yuan-Ming Wang and
Lei Ren Analysis of a high-order compact finite
difference method for Robin problems of
time-fractional sub-diffusion equations
with variable coefficients . . . . . . . 467--492
Elyas Shivanian Completion of right-hand side in the
frame of inverse Cauchy problem of
elliptic type equation through
homogenization meshless collocation
method . . . . . . . . . . . . . . . . . 493--513
S. Fazeli and
G. Hojjati Second derivative two-step collocation
methods for ordinary differential
equations . . . . . . . . . . . . . . . 514--527
Yaqin Zheng and
Yingzhen Lin and
Yang Shen A new multiscale algorithm for solving
second order boundary value problems . . 528--541
Hossein Zare and
Masoud Hajarian Determination of regularization
parameter via solving a multi-objective
optimization problem . . . . . . . . . . 542--554
Yongtao Zhou and
Jorge L. Suzuki and
Chengjian Zhang and
Mohsen Zayernouri Implicit-explicit time integration of
nonlinear fractional differential
equations . . . . . . . . . . . . . . . 555--583
Wen Li and
Dongdong Liu and
Seak-Weng Vong and
Mingqing Xiao Multilinear PageRank: Uniqueness, error
bound and perturbation analysis . . . . 584--607
F. Kanbar and
R. Touma and
C. Klingenberg Well-balanced central schemes for the
one and two-dimensional Euler systems
with gravity . . . . . . . . . . . . . . 608--626
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Tian-jun Wang and
Tao Sun A spectral method for solving
nonhomogeneous Neumann boundary value
problems on quadrilaterals . . . . . . . 1--18
Andrés I. Ávila and
Stefan Kopecz and
Andreas Meister A comprehensive theory on generalized
BBKS schemes . . . . . . . . . . . . . . 19--37
Qingfeng Li and
Yanping Chen and
Yunqing Huang and
Yang Wang Two-grid methods for semilinear time
fractional reaction diffusion equations
by expanded mixed finite element method 38--54
Shuiping Yang and
Fawang Liu and
Libo Feng and
Ian W. Turner Efficient numerical methods for the
nonlinear two-sided space-fractional
diffusion equation with variable
coefficients . . . . . . . . . . . . . . 55--68
Xiaolei Wu and
Yuyuan Yan and
Yubin Yan An analysis of the L1 scheme for
stochastic subdiffusion problem driven
by integrated space--time white noise 69--87
Magda Hammad and
Ramy M. Hafez and
Youssri H. Youssri and
Eid H. Doha Exponential Jacobi--Galerkin method and
its applications to multidimensional
problems in unbounded domains . . . . . 88--109
Farheen Sultana and
Deeksha Singh and
Rajesh K. Pandey and
Dia Zeidan Numerical schemes for a class of
tempered fractional integro-differential
equations . . . . . . . . . . . . . . . 110--134
Ziheng Chen and
Siqing Gan and
Xiaojie Wang A full-discrete exponential Euler
approximation of the invariant measure
for parabolic stochastic partial
differential equations . . . . . . . . . 135--158
Zhongxiao Jia and
Yanfei Yang A joint bidiagonalization based
iterative algorithm for large scale
general-form Tikhonov regularization . . 159--177
Jianqiang Xie and
Dong Liang and
Zhiyue Zhang Two novel energy dissipative difference
schemes for the strongly coupled
nonlinear space fractional wave
equations with damping . . . . . . . . . 178--209
Hong Du and
Zhong Chen and
Tiejun Yang A stable least residue method in
reproducing kernel space for solving a
nonlinear fractional
integro-differential equation with a
weakly singular kernel . . . . . . . . . 210--222
Jingjun Zhao and
Yanming Zhang and
Yang Xu Implicit Runge--Kutta and spectral
Galerkin methods for the two-dimensional
nonlinear Riesz space distributed-order
diffusion equation . . . . . . . . . . . 223--235
Wenli Huang and
Yuchao Tang Primal-dual fixed point algorithm based
on adapted metric method for solving
convex minimization problem with
application . . . . . . . . . . . . . . 236--254
Samala Rathan and
Naga Raju Gande and
Ashlesha A. Bhise Simple smoothness indicator WENO-Z
scheme for hyperbolic conservation laws 255--275
Zhu He and
Jiaxiang Cai and
Bangyu Shen Decoupled conservative schemes for
computing dynamics of the strongly
coupled nonlinear Schrödinger system . . 276--290
Todor M. Mishonov and
Albert M. Varonov Robust formula for $N$-point Padé
approximant calculation based on Wynn
identity . . . . . . . . . . . . . . . . 291--306
Zhendong Luo and
Hulin Ren A reduced-order extrapolated finite
difference iterative method for the
Riemann--Liouville tempered fractional
derivative equation . . . . . . . . . . 307--314
Yekini Shehu and
Olaniyi S. Iyiola Projection methods with alternating
inertial steps for variational
inequalities: Weak and linear
convergence . . . . . . . . . . . . . . 315--337
Yali Gao and
Rui Li and
Liquan Mei and
Yanping Lin A second-order decoupled energy stable
numerical scheme for
Cahn--Hilliard-Hele--Shaw system . . . . 338--355
J. J. Benito and
A. García and
L. Gavete and
M. Negreanu and
F. Ureña and
A. M. Vargas Solving a fully parabolic chemotaxis
system with periodic asymptotic behavior
using Generalized Finite Difference
Method . . . . . . . . . . . . . . . . . 356--371
Jianhua Zhang and
Jinghui Guo On relaxed greedy randomized coordinate
descent methods for solving large linear
least-squares problems . . . . . . . . . 372--384
Jingjun Zhao and
Yulian Yi and
Yang Xu Strong convergence and stability of the
split-step theta method for highly
nonlinear neutral stochastic delay
integro differential equation . . . . . 385--404
Changhui Yao and
Yifan Wei and
Qiumei Huang Post-processing technique of two-grid
algorithm for wave propagation with
Debye polarization in nonlinear
dielectric materials . . . . . . . . . . 405--418
Brajesh Kumar Singh and
Saloni Agrawal A new approximation of conformable time
fractional partial differential
equations with proportional delay . . . 419--433
Ahmed Al-Taweel and
Xiaoshen Wang The lowest-order stabilizer free weak
Galerkin finite element method . . . . . 434--445
Mingyan He and
Pengtao Sun Energy-preserving finite element methods
for a class of nonlinear wave equations 446--469
Fikriye Yilmaz and
Hacer Öz Bakan and
Gerhard-Wilhelm Weber Strong-order conditions of Runge--Kutta
method for stochastic optimal control
problems . . . . . . . . . . . . . . . . 470--489
Fuzheng Gao and
Shangyou Zhang and
Peng Zhu Modified weak Galerkin method with
weakly imposed boundary condition for
convection-dominated diffusion equations 490--504
Po-Yu Lin and
Yung-Ta Li and
Chun-Hao Teng Multidomain pseudospectral integration
preconditioning matrices for the
advection and the diffusion operators 505--521
Qianqian Ding and
Xiaonian Long and
Shipeng Mao Convergence analysis of Crank--Nicolson
extrapolated fully discrete scheme for
thermally coupled incompressible
magnetohydrodynamic system . . . . . . . 522--543
David P. Nicholls and
Xin Tong High-order perturbation of surfaces
algorithms for the simulation of
localized surface plasmon resonances in
graphene nanotubes . . . . . . . . . . . 544--562
Jun Zhang and
Shimin Lin and
JinRong Wang Stability and convergence analysis of
Fourier pseudo-spectral method for
FitzHugh--Nagumo model . . . . . . . . . 563--578
Azedine Rahmoune and
Ahmed Guechi Sinc--Nyström methods for Fredholm
integral equations of the second kind
over infinite intervals . . . . . . . . 579--589
Alessandro Buccini and
Omar De la Cruz Cabrera and
Marco Donatelli and
Andrea Martinelli and
Lothar Reichel Large-scale regression with non-convex
loss and penalty . . . . . . . . . . . . 590--601
M. Ahmadinia and
Z. Safari and
M. Abbasi Local discontinuous Galerkin method for
time variable order fractional
differential equations with
sub-diffusion and super-diffusion . . . 602--618
Haixiang Zhang and
Xuehua Yang and
Yanling Liu and
Yuan Liu An extrapolated CN--WSGD OSC method for
a nonlinear time fractional
reaction--diffusion equation . . . . . . 619--633
Pradip Roul and
Vikas Rohil and
Gilberto Espinosa-Paredes and
V. M. K. Prasad Goura and
R. S. Gedam and
K. Obaidurrahman Design and analysis of a numerical
method for fractional neutron diffusion
equation with delayed neutrons . . . . . 634--653
Zhendong Gu Spectral collocation method for
nonlinear Riemann--Liouville fractional
differential equations . . . . . . . . . 654--669
Muhammad Arshad A priori error estimates of multiblock
mortar expanded mixed method for
elliptic problems . . . . . . . . . . . 670--686
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Chuanjun Chen and
Kejia Pan and
Xiaofeng Yang Numerical approximations of a
hydro-dynamically coupled phase-field
model for binary mixture of
passive/active nematic liquid crystals
and viscous fluids . . . . . . . . . . . 1--21
Hengguang Li and
Xun Lu Condition numbers of finite element
methods on a class of anisotropic meshes 22--43
Sevin Gümgüm Taylor wavelet solution of linear and
nonlinear Lane--Emden equations . . . . 44--53
Lueling Jia and
Huiyuan Li and
Zhimin Zhang Numerical analysis on the mortar
spectral element methods for Schrödinger
eigenvalue problem with an inverse
square potential . . . . . . . . . . . . 54--84
Denise de Siqueira and
Agnaldo M. Farias and
Phillipe R. B. Devloo and
Sônia M. Gomes Mixed finite element approximations of a
singular elliptic problem based on some
anisotropic and hp-adaptive curved
quarter-point elements . . . . . . . . . 85--102
Samad Kheybari and
Mohammad Taghi Darvishi and
Mir Sajjad Hashemi A semi-analytical approach to Caputo
type time-fractional modified anomalous
sub-diffusion equations . . . . . . . . 103--122
Zhendong Luo and
Wenrui Jiang A reduced-order extrapolated technique
about the unknown coefficient vectors of
solutions in the finite element method
for hyperbolic type equation . . . . . . 123--133
Hossein Hosseinzadeh and
Mehdi Dehghan and
Zeynab Sedaghatjoo The stability study of numerical
solution of Fredholm integral equations
of the first kind with emphasis on its
application in boundary elements method 134--151
Vaibhav Mehandiratta and
Mani Mehra A difference scheme for the
time-fractional diffusion equation on a
metric star graph . . . . . . . . . . . 152--163
Jorge Cayama and
Carlota M. Cuesta and
Francisco de la Hoz Numerical approximation of the
fractional Laplacian on R using
orthogonal families . . . . . . . . . . 164--193
Yuling Guo and
Zhongqing Wang An hp-version Chebyshev collocation
method for nonlinear fractional
differential equations . . . . . . . . . 194--211
Nasser Sweilam and
Seham AL-Mekhlafi and
Salma Shatta and
Dumitru Baleanu Numerical study for a novel
variable-order multiple time delay
awareness programs mathematical model 212--235
C. Bassi and
S. Busto and
M. Dumbser High order ADER-DG schemes for the
simulation of linear seismic waves
induced by nonlinear dispersive
free-surface water waves . . . . . . . . 236--263
David Cohen and
Kristian Debrabant and
Andreas Rößler High order numerical integrators for
single integrand Stratonovich SDEs . . . 264--270
Mostafa Abbaszadeh and
Mehdi Dehghan A POD-based reduced-order
Crank--Nicolson/fourth-order alternating
direction implicit (ADI) finite
difference scheme for solving the
two-dimensional distributed-order Riesz
space-fractional diffusion equation . . 271--291
Romeo Martínez and
Jorge E. Macías-Díaz An energy-preserving and efficient
scheme for a double-fractional
conservative Klein--Gordon--Zakharov
system . . . . . . . . . . . . . . . . . 292--313
Huifang Zhou and
Zhiqiang Sheng and
Guangwei Yuan A finite volume method preserving
maximum principle for the diffusion
equations with imperfect interface . . . 314--335
Laura Murphy and
Anotida Madzvamuse A moving grid finite element method
applied to a mechanobiochemical model
for $3$D cell migration . . . . . . . . 336--359
Wujie Hu and
Jinzhao Wu and
Gonglin Yuan Some modified Hestenes--Stiefel
conjugate gradient algorithms with
application in image restoration . . . . 360--376
Evely Kirsiaed and
Peeter Oja and
Gul Wali Shah Rational spline histopolation of convex
data . . . . . . . . . . . . . . . . . . 377--391
Linlin Bu and
Liquan Mei and
Ying Wang and
Yan Hou Energy stable numerical schemes for the
fractional-in-space Cahn--Hilliard
equation . . . . . . . . . . . . . . . . 392--414
Aiqun Huang A filter-type method for solving
nonlinear semidefinite programming . . . 415--424
Mehdi Dehghan and
Akbar Shirilord Matrix multisplitting Picard-iterative
method for solving generalized absolute
value matrix equation . . . . . . . . . 425--438
Mehdi Dehghan and
Nasim Shafieeabyaneh and
Mostafa Abbaszadeh Application of spectral element method
for solving Sobolev equations with error
estimation . . . . . . . . . . . . . . . 439--462
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Alejandro Figueroa and
Zdzis\law Jackiewicz and
Rainald Löhner Efficient two-step Runge--Kutta methods
for fluid dynamics simulations . . . . . 1--20
Yun-Bo Yang and
Yao-Lin Jiang Unconditional optimal error estimates of
linearized second-order BDF Galerkin
FEMs for the Landau--Lifshitz equation 21--45
Zhenyu Zhao A Hermite extension method for numerical
differentiation . . . . . . . . . . . . 46--60
Khosrow Maleknejad and
Hamed Shahi Kalalagh Approximate solution of some nonlinear
classes of Abel integral equations using
hybrid expansion . . . . . . . . . . . . 61--72
Min Lu and
Zheng-Jian Bai A modified optimization method for
robust partial quadratic eigenvalue
assignment using receptances and system
matrices . . . . . . . . . . . . . . . . 73--92
Mohammed Al Mugahwi and
Omar De la Cruz Cabrera and
Silvia Noschese and
Lothar Reichel Functions and eigenvectors of partially
known matrices with applications to
network analysis . . . . . . . . . . . . 93--105
Lin Mu and
Zheng Chen A new WENO weak Galerkin finite element
method for time dependent hyperbolic
equations . . . . . . . . . . . . . . . 106--124
Godwin Kakuba and
Fredrik Berntsson and
Vladimir Kozlov An algorithm for computing a stationary
flow in a binary bifurcation tree . . . 125--137
Bo Zheng and
Yueqiang Shang A parallel stabilized finite element
variational multiscale method based on
fully overlapping domain decomposition
for the incompressible Navier--Stokes
equations . . . . . . . . . . . . . . . 138--158
Jianfei Huang and
Jingna Zhang and
Sadia Arshad and
Yifa Tang A numerical method for two-dimensional
multi-term time-space fractional
nonlinear diffusion-wave equations . . . 159--173
Zhiqiang Cai and
Cuiyu He and
Shun Zhang Improved ZZ a posteriori error
estimators for diffusion problems:
Discontinuous elements . . . . . . . . . 174--189
Zhibo Wang and
Dakang Cen and
Yan Mo Sharp error estimate of a compact L1-ADI
scheme for the two-dimensional
time-fractional integro-differential
equation with singular kernels . . . . . 190--203
Ricardo Santos and
Leonardo Alves A comparative analysis of explicit, IMEX
and implicit strong stability preserving
Runge--Kutta schemes . . . . . . . . . . 204--220
Zhiyong Xing and
Liping Wen and
Hanyu Xiao A fourth-order conservative difference
scheme for the Riesz space-fractional
Sine--Gordon equations and its fast
implementation . . . . . . . . . . . . . 221--238
Wenlin Qiu and
Da Xu and
Jing Guo The Crank--Nicolson-type Sinc--Galerkin
method for the fourth-order partial
integro-differential equation with a
weakly singular kernel . . . . . . . . . 239--258
Petra Csomós and
Bálint Takács Operator splitting for space-dependent
epidemic model . . . . . . . . . . . . . 259--280
Guillermo Albuja and
Andrés I. Ávila A family of new globally convergent
linearization schemes for solving
Richards' equation . . . . . . . . . . . 281--296
Siamak Banei and
Kamal Shanazari On the convergence analysis and
stability of the RBF-adaptive method for
the forward-backward heat problem in
$2$D . . . . . . . . . . . . . . . . . . 297--310
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
T. A. Biala and
A. Q. M. Khaliq Predictor--corrector schemes for
nonlinear space-fractional parabolic
PDEs with time-dependent boundary
conditions . . . . . . . . . . . . . . . 1--22
Hongchao Kang and
Hong Wang Numerical evaluation and error analysis
of many different oscillatory Bessel
transforms via confluent hypergeometric
function . . . . . . . . . . . . . . . . 23--41
Hom N. Kandel and
Dong Liang The mass-preserving solution-flux scheme
for multi-layer interface parabolic
equations . . . . . . . . . . . . . . . 42--64
Yuan Shen and
Yannian Zuo and
Aolin Yu A partially proximal S-ADMM for
separable convex optimization with
linear constraints . . . . . . . . . . . 65--83
Jochen Schütz and
David C. Seal An asymptotic preserving semi-implicit
multiderivative solver . . . . . . . . . 84--101
Xiaofeng Wang and
Weizhong Dai and
Muhammad Usman A high-order accurate finite difference
scheme for the KdV equation with
time-periodic boundary forcing . . . . . 102--121
Ruixue Gu and
Bo Han Inexact Newton regularization in Banach
spaces based on two-point gradient
method with uniformly convex penalty
terms . . . . . . . . . . . . . . . . . 122--145
Akanksha Bhardwaj and
Alpesh Kumar A meshless method for time fractional
nonlinear mixed diffusion and
diffusion-wave equation . . . . . . . . 146--165
Yin Yang and
Zhuyan Tang Mapped spectral collocation methods for
Volterra integral equations with
noncompact kernels . . . . . . . . . . . 166--177
Mustafa Aggul and
Songül Kaya Defect-deferred correction method based
on a subgrid artificial viscosity model
for fluid-fluid interaction . . . . . . 178--191
Kresimir Burazin and
Ivana Crnjac and
Marko Vrdoljak Optimality criteria method in $2$D
linearized elasticity problems . . . . . 192--204
Alexander J. Dittmann High-order multiderivative IMEX schemes 205--216
Shuping Yang and
Xiangtuan Xiong and
Yan Nie Iterated fractional Tikhonov
regularization method for solving the
spherically symmetric backward
time-fractional diffusion equation . . . 217--241
L. D'Amore and
R. Cacciapuoti Model reduction in space and time for ab
initio decomposition of $4$D variational
data assimilation problems . . . . . . . 242--264
Giuseppe Izzo and
Zdzislaw Jackiewicz Construction of SDIRK methods with
dispersive stability functions . . . . . 265--280
Mahmoud A. Zaky and
Ahmed S. Hendy An efficient dissipation-preserving
Legendre--Galerkin spectral method for
the Higgs boson equation in the de
Sitter spacetime universe . . . . . . . 281--295
Rajat Vaish and
Md. Kalimuddin Ahmad Hybrid viscosity implicit scheme for
variational inequalities over the fixed
point set of an asymptotically
nonexpansive mapping in the intermediate
sense in Banach spaces . . . . . . . . . 296--312
KumSong Jong and
HuiChol Choi and
KyongJun Jang and
SunAe Pak A new approach for solving
one-dimensional fractional boundary
value problems via Haar wavelet
collocation method . . . . . . . . . . . 313--330
Jun Liu and
Chen Zhu and
Yanping Chen and
Hongfei Fu A Crank--Nicolson ADI quadratic spline
collocation method for two-dimensional
Riemann--Liouville space-fractional
diffusion equations . . . . . . . . . . 331--348
Boonrod Yuttanan and
Mohsen Razzaghi and
Thieu N. Vo A numerical method based on
fractional-order generalized Taylor
wavelets for solving distributed-order
fractional partial differential
equations . . . . . . . . . . . . . . . 349--367
Yayun Fu and
Wenjun Cai and
Yushun Wang A linearly implicit structure-preserving
scheme for the fractional sine--Gordon
equation based on the IEQ approach . . . 368--385
Supawan Nanta and
Suriyon Yimnet and
Kanyuta Poochinapan and
Ben Wongsaijai On the identification of nonlinear terms
in the generalized Camassa--Holm
equation involving dual-power law
nonlinearities . . . . . . . . . . . . . 386--421
Shangqin He and
Congna Di and
Li Yang The mollification method based on a
modified operator to the ill-posed
problem for $3$D Helmholtz equation with
mixed boundary . . . . . . . . . . . . . 422--435
Abdelhak Hadj and
Hacene Saker Integral equations method for solving a
Biharmonic inverse problem in detection
of Robin coefficients . . . . . . . . . 436--450
Wei Li and
Jilin Fang and
Yi Qin and
Pengzhan Huang Rotational pressure-correction method
for the Stokes/Darcy model based on the
modular grad--div stabilization . . . . 451--465
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Xiangcheng Zheng and
Huan Liu and
Hong Wang and
Hongfei Fu Optimal-order finite element
approximations to variable-coefficient
two-sided space-fractional
advection--reaction--diffusion equations
in three space dimensions . . . . . . . 1--12
Syed Ahmed Pasha and
Yasir Nawaz and
Muhammad Shoaib Arif A third-order accurate in time method
for boundary layer flow problems . . . . 13--26
Mahmoud A. Zaky and
Ibrahem G. Ameen and
Nermeen A. Elkot and
Eid H. Doha A unified spectral collocation method
for nonlinear systems of
multi-dimensional integral equations
with convergence analysis . . . . . . . 27--45
Yousaf Habib and
Lubna Mustafa General linear methods with projection 46--51
Hu Li and
Jin Huang Solution of two-dimensional elasticity
problems using a high-accuracy boundary
element method . . . . . . . . . . . . . 52--68
Qiaohua Liu and
Cuiping Chen and
Qian Zhang Perturbation analysis for total least
squares problems with linear equality
constraint . . . . . . . . . . . . . . . 69--81
Jing Sun and
Daxin Nie and
Weihua Deng High-order BDF fully discrete scheme for
backward fractional Feynman--Kac
equation with nonsmooth data . . . . . . 82--100
Reuben Rauch and
Manfred R. Trummer and
J. F. Williams A spectral collocation method for mixed
functional differential equations . . . 101--110
Raziyeh Dehbozorgi and
Khadijeh Nedaiasl Numerical solution of nonlinear weakly
singular Volterra integral equations of
the first kind: an hp-version
collocation approach . . . . . . . . . . 111--136
M. M. Khader and
Khaled M. Saad and
Zakia Hammouch and
Dumitru Baleanu A spectral collocation method for
solving fractional KdV and KdV--Burgers
equations with non-singular kernel
derivatives . . . . . . . . . . . . . . 137--146
Hadj Abdelhak and
Hacene Saker Corrigendum to ``Integral equations
method for solving a Biharmonic inverse
problem in detection of Robin
coefficients'' [Appl. Num. Math. \bf 160
(Feb. 2021), 436--450] . . . . . . . . . 147--147
El Houssaine Quenjel Nonlinear finite volume discretization
for transient diffusion problems on
general meshes . . . . . . . . . . . . . 148--168
Dongyang Shi and
Yanmi Wu Quasi-uniform convergence analysis of
rectangular Morley element for the
singularly perturbed Bi-wave equation 169--177
Mahesh Narayanamurthi and
Adrian Sandu Partitioned exponential methods for
coupled multiphysics systems . . . . . . 178--207
Teng-Teng Yao and
Fang Lu and
Wei Li A Riemannian nonmonotone spectral method
for self-adjoint tangent vector field 208--217
Lina Wang and
Hongjiong Tian and
Lijun Yi An hp-version of the discontinuous
Galerkin time-stepping method for
Volterra integral equations with weakly
singular kernels . . . . . . . . . . . . 218--232
J. B. Collins and
Jonathan D. Hauenstein A singular value homotopy for finding
critical parameter values . . . . . . . 233--243
Nikhil Srivastava and
Aman Singh and
Yashveer Kumar and
Vineet Kumar Singh Efficient numerical algorithms for
Riesz-space fractional partial
differential equations based on finite
difference/operational matrix . . . . . 244--274
Farshid Mirzaee and
Erfan Solhi and
Nasrin Samadyar Moving least squares and spectral
collocation method to approximate the
solution of stochastic
Volterra--Fredholm integral equations 275--285
Adrian Sandu and
Michael Günther and
Steven Roberts Linearly implicit GARK schemes . . . . . 286--310
Milad Karimi and
Fridoun Moradlou and
Mojtaba Hajipour On the ill-posed analytic continuation
problem: an order optimal regularization
scheme . . . . . . . . . . . . . . . . . 311--332
J. J. Benito and
A. García and
L. Gavete and
M. Negreanu and
F. Ureña and
A. M. Vargas Convergence and numerical simulations of
prey-predator interactions via a
meshless method . . . . . . . . . . . . 333--347
Tingting Wu and
Yuran Sun and
Dongsheng Cheng A new finite difference scheme for the
$3$D Helmholtz equation with a
preconditioned iterative solver . . . . 348--371
Hong Zhang and
Jingye Yan and
Xu Qian and
Songhe Song Numerical analysis and applications of
explicit high order maximum principle
preserving integrating factor
Runge--Kutta schemes for Allen--Cahn
equation . . . . . . . . . . . . . . . . 372--390
Sarita Nandal and
Dwijendra Narain Pandey Numerical technique for fractional
variable-order differential equation of
fourth-order with delay . . . . . . . . 391--407
Jian Dong and
Ding Fang Li A new second-order modified hydrostatic
reconstruction for the shallow water
flows with a discontinuous topography 408--424
M. H. Heydari and
Z. Avazzadeh and
A. Atangana Orthonormal shifted discrete Legendre
polynomials for solving a coupled system
of nonlinear variable-order time
fractional
reaction--advection--diffusion equations 425--436
Suliman Al-Homidan and
Bashir Ali and
Yusuf I. Suleiman Generalized split feasibility problem
for multi-valued Bregman
quasi-nonexpansive mappings in Banach
spaces . . . . . . . . . . . . . . . . . 437--451
Tingyue Li and
Dinghua Xu and
Qifeng Zhang High-order compact schemes for
semilinear parabolic moving boundary
problems . . . . . . . . . . . . . . . . 452--468
Xue-lei Lin and
Micheal K. Ng and
Andy Wathen Preconditioners for multilevel Toeplitz
linear systems from steady-state and
evolutionary advection--diffusion
equations . . . . . . . . . . . . . . . 469--488
Oleg Davydov and
Mansour Safarpoor A meshless finite difference method for
elliptic interface problems based on
pivoted $ Q R $ decomposition . . . . . 489--509
Shipeng Xu A posteriori error estimates for weak
Galerkin methods for second order
elliptic problems on polygonal meshes 510--524
Ersin Aslan and
Ömür Kivanç Kürkçü and
Mehmet Sezer A fast numerical method for fractional
partial integro-differential equations
with spatial-time delays . . . . . . . . 525--539
Anonymous Pages 1--404 (April 2021) . . . . . . . 1--404
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Kevin Tolle and
Nicole Marheineke Extended group finite element method . . 1--19
Fei Xu and
Qiumei Huang and
Kun Jiang and
Hongkun Ma Local and parallel multigrid method for
semilinear elliptic equations . . . . . 20--34
Gino I. Montecinos An iterative scaling function procedure
for solving scalar non-linear hyperbolic
balance laws . . . . . . . . . . . . . . 35--52
Surath Ghosh and
Snehasis Kundu and
Sunil Kumar and
Emad E. Mahmoud Spectral approximation methods for non
equilibrium transport in turbulent
channel flows using fADE . . . . . . . . 53--66
Feroz Khan Higher order pathwise approximation for
the stochastic Burgers' equation with
additive noise . . . . . . . . . . . . . 67--80
Bhupen Deka and
Naresh Kumar Error estimates in weak Galerkin finite
element methods for parabolic equations
under low regularity assumptions . . . . 81--105
Jose Luis Gracia and
Eugene O'Riordan Parameter-uniform approximations for a
singularly perturbed
convection--diffusion problem with a
discontinuous initial condition . . . . 106--123
Minqiang Xu and
Lufang Zhang and
Emran Tohidi A fourth-order least-squares based
reproducing kernel method for
one-dimensional elliptic interface
problems . . . . . . . . . . . . . . . . 124--136
Vsevolod Bohaienko On the recurrent computation of
fractional operator with Mittag-Leffler
kernel . . . . . . . . . . . . . . . . . 137--149
Jiyong Li and
Tingchun Wang Optimal point-wise error estimate of two
conservative fourth-order compact finite
difference schemes for the nonlinear
Dirac equation . . . . . . . . . . . . . 150--170
Waixiang Cao and
Chunmei Wang New primal-dual weak Galerkin finite
element methods for convection-diffusion
problems . . . . . . . . . . . . . . . . 171--191
Yanjie Zhou and
Yanan Zhang and
Ye Liang and
Zhendong Luo A reduced-order extrapolated model based
on splitting implicit finite difference
scheme and proper orthogonal
decomposition for the fourth-order
nonlinear Rosenau equation . . . . . . . 192--200
Mahboub Baccouch Optimal superconvergence and
asymptotically exact a posteriori error
estimator for the local discontinuous
Galerkin method for linear elliptic
problems on Cartesian grids . . . . . . 201--224
A. Castejón Lafuente and
J. R. Illán González A least squares-based approach to
evaluating strongly singular integrals 225--234
Rumeng Zheng and
Hui Zhang and
Xiaoyun Jiang Legendre spectral methods based on two
families of novel second-order numerical
formulas for the fractional
activator-inhibitor system . . . . . . . 235--248
Seydi Battal Gazi Karakoc and
Khaled Omrani and
Derya Sucu Numerical investigations of shallow
water waves via generalized equal width
(GEW) equation . . . . . . . . . . . . . 249--264
Matthias Bollhöfer and
Olaf Schenk and
Fabio Verbosio A high performance level-block
approximate LU factorization
preconditioner algorithm . . . . . . . . 265--282
Harshin Kamal Asok Interface adapted LBB-stable finite
elements on fluid structure interaction
problems in fully Eulerian framework . . 283--300
John Zweck and
Yanping Chen and
Matthew J. Goeckner and
Yannan Shen Spectral computation of low probability
tails for the homogeneous Boltzmann
equation . . . . . . . . . . . . . . . . 301--317
Zhaopeng Hao and
Zhongqiang Zhang Fast spectral Petrov--Galerkin method
for fractional elliptic equations . . . 318--330
Mahboub Baccouch The discontinuous Galerkin method for
general nonlinear third-order ordinary
differential equations . . . . . . . . . 331--350
Muhammad Usman and
Muhammad Hamid and
Rizwan Ul Haq and
Moubin Liu Linearized novel operational
matrices-based scheme for classes of
nonlinear time-space fractional unsteady
problems in $2$D . . . . . . . . . . . . 351--373
Vahid Mohammadi and
Mehdi Dehghan A divergence-free generalized moving
least squares approximation with its
application . . . . . . . . . . . . . . 374--404
Anonymous Pages 1--316 (May 2021) . . . . . . . . 1--316
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Zhengguang Liu and
Shuangshuang Chen Novel linear decoupled and
unconditionally energy stable numerical
methods for the modified phase field
crystal model . . . . . . . . . . . . . 1--14
Jinhong Jia and
Hong Wang and
Xiangcheng Zheng A preconditioned fast finite element
approximation to variable-order
time-fractional diffusion equations in
multiple space dimensions . . . . . . . 15--29
Jaemin Shin and
Hyun Geun Lee A linear, high-order, and
unconditionally energy stable scheme for
the epitaxial thin film growth model
without slope selection . . . . . . . . 30--42
Haotao Cai and
Qiguang An A fractional spectral collocation method
for general Caputo two-point boundary
value problems . . . . . . . . . . . . . 43--56
Seyeon Lee and
Junseo Lee and
Hyunju Kim and
Bongsoo Jang A fast and high-order numerical method
for nonlinear fractional-order
differential equations with non-singular
kernel . . . . . . . . . . . . . . . . . 57--76
Yifei Wang and
Jin Huang and
Xiaoxia Wen Two-dimensional Euler polynomials
solutions of two-dimensional Volterra
integral equations of fractional order 77--95
Muaz Seydaoglu and
Philipp Bader and
Sergio Blanes and
Fernando Casas Computing the matrix sine and cosine
simultaneously with a reduced number of
products . . . . . . . . . . . . . . . . 96--107
V. Dhanya Varma and
Suresh Kumar Nadupuri and
Nagaiah Chamakuri A posteriori error estimates and an
adaptive finite element solution for the
system of unsteady
convection-diffusion-reaction equations
in fluidized beds . . . . . . . . . . . 108--125
Zhong-Zhi Bai and
Kang-Ya Lu Optimal rotated block-diagonal
preconditioning for discretized optimal
control problems constrained with
fractional time-dependent diffusive
equations . . . . . . . . . . . . . . . 126--146
Zhanwen Yang and
Tianqing Zuo and
Zhijie Chen Numerical analysis of linearly implicit
Euler-Riemann method for nonlinear
Gurtin--MacCamy model . . . . . . . . . 147--166
Richard Liska and
Pavel Váchal and
Burton Wendroff Lax--Wendroff methods on highly
non-uniform meshes. Dedicated to the
Memory of Blair Swartz (1932--2019) . . 167--181
Bo Zheng and
Yueqiang Shang Two-level defect-correction stabilized
algorithms for the simulation of
$2$D/$3$D steady Navier--Stokes
equations with damping . . . . . . . . . 182--203
Jianjun Wan and
Wen Dong and
Yongcheng Zhao and
Shicang Song Second-order two-scale analysis for
heating effect of periodical composite
structure . . . . . . . . . . . . . . . 204--220
Viet Thong Duong and
Tu Vuong Phan Improved subgradient extragradient
methods for solving pseudomonotone
variational inequalities in Hilbert
spaces . . . . . . . . . . . . . . . . . 221--238
M. C. Pugh and
David Yan and
F. P. Dawson A study of the numerical stability of an
ImEx scheme with application to the
Poisson--Nernst--Planck equations . . . 239--253
David Yan and
M. C. Pugh and
F. P. Dawson Adaptive time-stepping schemes for the
solution of the Poisson--Nernst--Planck
equations . . . . . . . . . . . . . . . 254--269
Haiyan Su and
Xinlong Feng and
Jianping Zhao Penalty decoupled iterative methods for
the stationary natural convection
equations with different Rayleigh
numbers . . . . . . . . . . . . . . . . 270--291
A. Y. J. Almasoodi and
A. Abdi and
G. Hojjati A GLMs-based difference-quadrature
scheme for Volterra integro-differential
equations . . . . . . . . . . . . . . . 292--302
Zeinab Gharibi and
Mehdi Dehghan Convergence analysis of weak Galerkin
flux-based mixed finite element method
for solving singularly perturbed
convection-diffusion-reaction problem 303--316
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Zhong-Zhi Bai and
Lothar Reichel and
Zeng-Qi Wang Editorial preface: Recent advances in
numerical algebra with interdisciplinary
applications . . . . . . . . . . . . . . 1--2
Fang Chen and
Tian-Yi Li and
Kang-Ya Lu and
Galina V. Muratova Modified QHSS iteration methods for a
class of complex symmetric linear
systems . . . . . . . . . . . . . . . . 3--14
Kang-Ya Lu and
Dong-Xiu Xie and
Fang Chen and
Galina V. Muratova Dominant Hermitian splitting iteration
method for discrete space-fractional
diffusion equations . . . . . . . . . . 15--28
Zhong-Zhi Bai and
Wen-Ting Wu and
Galina V. Muratova The power method and beyond . . . . . . 29--42
Jianjun Zhang and
James G. Nagy An effective alternating direction
method of multipliers for color image
restoration . . . . . . . . . . . . . . 43--56
Hui Zhang and
Hua Dai The regularizing properties of global
GMRES for solving large-scale linear
discrete ill-posed problems with several
right-hand sides . . . . . . . . . . . . 57--71
Xianglan Bai and
Guang-Xin Huang and
Xiao-Jun Lei and
Lothar Reichel and
Feng Yin A novel modified TRSVD method for
large-scale linear discrete ill-posed
problems . . . . . . . . . . . . . . . . 72--88
Li-Li Zhang and
Zhi-Ru Ren A modified modulus-based multigrid
method for linear complementarity
problems arising from free boundary
problems . . . . . . . . . . . . . . . . 89--100
Gang Wu and
Fei Li A randomized exponential canonical
correlation analysis method for data
analysis and dimensionality reduction 101--124
Zhong-Zhi Bai and
Wen-Ting Wu On refinement of the generalized
Bendixson theorem . . . . . . . . . . . 125--138
Xi Yang A geometric probability randomized
Kaczmarz method for large scale linear
systems . . . . . . . . . . . . . . . . 139--160
Hai-Feng Liu Frame completion with prescribed norms
via alternating projection method . . . 161--174
Sheng-Zhong Song and
Zheng-Da Huang A modified SSOR-like preconditioner for
non-Hermitian positive definite matrices 175--189
Xiao-Ping Chen and
Wei Wei and
Xiao-Ming Pan Modified successive approximation
methods for the nonlinear eigenvalue
problems . . . . . . . . . . . . . . . . 190--198
Li Sun and
Yu-Mei Huang A modulus-based multigrid method for
image retinex . . . . . . . . . . . . . 199--210
Alessandro Buccini and
Guangxin Huang and
Lothar Reichel and
Feng Yin On the choice of regularization matrix
for an $l$ $_2$- $l$ $_q$ minimization
method for image restoration . . . . . . 211--221
Fu-Rong Lin and
Yi-Feng Qiu and
Zi-Hang She IRK-WSGD methods for space fractional
diffusion equations . . . . . . . . . . 222--244
Min-Li Zeng A circulant-matrix-based new accelerated
GSOR preconditioned method for block
two-by-two linear systems from image
restoration problems . . . . . . . . . . 245--257
Anonymous Pages 1--622 (July 2021) . . . . . . . . 1--622
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Yekini Shehu and
Lulu Liu and
Xuewen Mu and
Qiao-Li Dong Analysis of versions of relaxed inertial
projection and contraction method . . . 1--21
Hamid Safdari and
Majid Rajabzadeh and
Moein Khalighi Solving a non-linear fractional
convection-diffusion equation using
local discontinuous Galerkin method . . 22--34
Wansheng Wang and
Zheng Wang and
Zhaoxiang Li Long time $ {\cal H}_\alpha^s $
stability of a classical scheme for
Cahn--Hilliard equation with polynomial
nonlinearity . . . . . . . . . . . . . . 35--55
Baoli Yin and
Yang Liu and
Hong Li and
Fanhai Zeng A class of efficient time-stepping
methods for multi-term time-fractional
reaction--diffusion-wave equations . . . 56--82
Guanyu Zhou and
Takahito Kashiwabara and
Issei Oikawa and
Eric Chung and
Ming-Cheng Shiue An analysis on the penalty and Nitsche's
methods for the Stokes--Darcy system
with a curved interface . . . . . . . . 83--118
Jian Li and
Jiawei Gao and
Yu Shu A parallel, non-spatial iterative, and
rotational pressure projection method
for the nonlinear fluid-fluid
interaction . . . . . . . . . . . . . . 119--136
Yin Yang and
Xueyang Li and
Aiguo Xiao Fourier pseudospectral method for
fractional stationary Schrödinger
equation . . . . . . . . . . . . . . . . 137--151
Xingyu An and
Fawang Liu and
Minling Zheng and
Vo V. Anh and
Ian W. Turner A space-time spectral method for
time-fractional Black--Scholes equation 152--166
Chang Ho Kim and
Youngsoo Ha and
Hyoseon Yang and
Jungho Yoon A third-order WENO scheme based on
exponential polynomials for
Hamilton--Jacobi equations . . . . . . . 167--183
Jie Peng and
Shi Shu and
Junxian Wang and
Liuqiang Zhong An adaptive BDDC preconditioner for
advection-diffusion problems with a
stabilized finite element discretization 184--197
Yanyan Du and
Qimin Zhang and
Anke Meyer-Baese The positive numerical solution for
stochastic age-dependent capital system
based on explicit-implicit algorithm . . 198--215
Junqing Jia and
Hui Zhang and
Huanying Xu and
Xiaoyun Jiang An efficient second order stabilized
scheme for the two dimensional time
fractional Allen--Cahn equation . . . . 216--231
Yayun Fu and
Zhuangzhi Xu and
Wenjun Cai and
Yushun Wang An efficient energy-preserving method
for the two-dimensional fractional
Schrödinger equation . . . . . . . . . . 232--247
Junjie Wang High-order conservative schemes for the
space fractional nonlinear Schrödinger
equation . . . . . . . . . . . . . . . . 248--269
Luis F. Muñoz-Pérez and
J. E. Macías-Díaz An implicit and convergent method for
radially symmetric solutions of Higgs'
boson equation in the de Sitter
space-time . . . . . . . . . . . . . . . 270--289
Xin-long Luo and
Hang Xiao and
Jia-hui Lv and
Sen Zhang Explicit pseudo-transient continuation
and the trust-region updating strategy
for unconstrained optimization . . . . . 290--302
Pradip Roul and
V. M. K. Prasad Goura and
Klaus Kassner A high accuracy numerical approach for
electro-hydrodynamic flow of a fluid in
an ion-drag configuration in a circular
cylindrical conduit . . . . . . . . . . 303--321
Zhao-Zheng Liang and
Yan Dou Efficient preconditioning techniques for
velocity tracking of Stokes control
problem . . . . . . . . . . . . . . . . 322--338
Ahmed S. Hendy and
J. E. Macías-Díaz On a nonlinear energy-conserving scalar
auxiliary variable (SAV) model for Riesz
space-fractional hyperbolic equations 339--347
Shuai Li and
Zhixin Zhang and
Wei Jiang Multiple positive solutions for
four-point boundary value problem of
fractional delay differential equations
with $p$-Laplacian operator . . . . . . 348--356
Kwang-Yeon Kim Guaranteed and asymptotically exact a
posteriori error estimator for
lowest-order Raviart--Thomas mixed
finite element method . . . . . . . . . 357--375
Xue Wang and
Guang-an Zou and
Bo Wang The stabilized penalty-projection finite
element method for the
Navier--Stokes--Cahn--Hilliard--Oono
system . . . . . . . . . . . . . . . . . 376--413
Petr N. Vabishchevich Splitting schemes for non-stationary
problems with a rational approximation
for fractional powers of the operator 414--430
M. Koorapetse and
P. Kaelo and
S. Lekoko and
T. Diphofu A derivative-free RMIL conjugate
gradient projection method for convex
constrained nonlinear monotone equations
with applications in compressive sensing 431--441
M. H. Heydari and
Z. Avazzadeh and
M. Razzaghi Vieta--Lucas polynomials for the coupled
nonlinear variable-order fractional
Ginzburg--Landau equations . . . . . . . 442--458
Linlin Bu and
Cornelis W. Oosterlee On high-order schemes for tempered
fractional partial differential
equations . . . . . . . . . . . . . . . 459--481
Jun Zhu and
Chi-Wang Shu and
Jianxian Qiu High-order Runge--Kutta discontinuous
Galerkin methods with multi-resolution
WENO limiters for solving steady-state
problems . . . . . . . . . . . . . . . . 482--499
Jianchao Bai and
Yuxue Ma and
Hao Sun and
Miao Zhang Iteration complexity analysis of a
partial LQP-based alternating direction
method of multipliers . . . . . . . . . 500--518
Jin Zhang and
Xiaowei Liu Uniform convergence of finite element
methods on Bakhvalov-type meshes in the
case of $ N^{-1} \leq \epsilon $ . . . . 519--526
Omar A. Khalil and
Gerd Baumann Convergence rate estimation of
poly-Sinc-based discontinuous Galerkin
methods . . . . . . . . . . . . . . . . 527--552
Rachid Ait-Haddou and
Ron Goldman and
Marie-Laurence Mazure Quantum Lorentz degrees of polynomials
and a Pólya theorem for polynomials
positive on $q$-lattices . . . . . . . . 553--577
Mingshang Hu and
Lianzi Jiang An efficient numerical method for
forward-backward stochastic differential
equations driven by $G$-Brownian motion 578--597
Ju-Li Zhang Inexact block SSOR-like preconditioners
for non-Hermitian positive definite
linear systems of strong Hermitian parts 598--613
Lothar Reichel and
Miodrag M. Spalevi\'c A new representation of generalized
averaged Gauss quadrature rules . . . . 614--619
Alexandru Mihai Bica Corrigendum to ``Two-point boundary
value problems associated to functional
differential equations of even order
solved by iterated splines'' [Appl.
Numer. Math. \bf 110 (2016) 128--147] 620--621
Anonymous Pages 1--368 (August 2021) . . . . . . . 1--368
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
N. Bazarra and
M. I. M. Copetti and
J. R. Fernández and
R. Quintanilla Numerical analysis of a dual-phase-lag
model with microtemperatures . . . . . . 1--25
H. Hassani and
Z. Avazzadeh Novel operational matrices for solving
$2$-dim nonlinear variable order
fractional optimal control problems via
a new set of basis functions . . . . . . 26--39
Pradip Roul and
V. M. K. Prasad Goura A compact finite difference scheme for
fractional Black--Scholes option pricing
model . . . . . . . . . . . . . . . . . 40--60
Ronald H. W. Hoppe and
Basanta R. Pahari and
James J. Winkle Numerical simulation of the formation of
spherulites in polycrystalline binary
mixtures . . . . . . . . . . . . . . . . 61--75
Mehakpreet Singh and
Themis Matsoukas and
Gavin Walker Two moments consistent discrete
formulation for binary breakage
population balance equation and its
convergence . . . . . . . . . . . . . . 76--91
Cory V. Frontin and
Gage S. Walters and
Freddie D. Witherden and
Carl W. Lee and
David M. Williams and
David L. Darmofal Foundations of space-time finite element
methods: Polytopes, interpolation, and
integration . . . . . . . . . . . . . . 92--113
Wuyang Li and
Yingxiang Xu Schwarz domain decomposition methods for
the fluid-fluid system with
friction-type interface conditions . . . 114--126
Lin Zhang and
Yongbin Ge Numerical solution of nonlinear
advection diffusion reaction equation
using high-order compact difference
method . . . . . . . . . . . . . . . . . 127--145
Yuan Li and
Rong An Temporal error analysis of Euler
semi-implicit scheme for the
magnetohydrodynamics equations with
variable density . . . . . . . . . . . . 146--167
D. Abbaszadeh and
M. Tavassoli Kajani and
M. Momeni and
M. Zahraei and
M. Maleki Solving fractional Fredholm
integro-differential equations using
Legendre wavelets . . . . . . . . . . . 168--185
Lothar Reichel and
Ugochukwu O. Ugwu Tensor Krylov subspace methods with an
invertible linear transform product
applied to image processing . . . . . . 186--207
Alvaro Almeida Gomez and
Antônio J. Silva Neto and
Jorge P. Zubelli Diffusion representation for asymmetric
kernels . . . . . . . . . . . . . . . . 208--226
Zengqiang Tan and
Chengjian Zhang The discrete maximum principle and
energy stability of a new second-order
difference scheme for Allen--Cahn
equations . . . . . . . . . . . . . . . 227--237
Luling Cao and
Yinnian He and
Jian Li and
Md. Abdullah Al Mahbub Decoupled modified characteristic finite
element method with different subdomain
time steps for nonstationary
dual-porosity-Navier--Stokes model . . . 238--271
Donatella Occorsio and
Woula Themistoclakis On the filtered polynomial interpolation
at Chebyshev nodes . . . . . . . . . . . 272--287
Maria Lucia Cardinali and
Carlo Garoni and
Carla Manni and
Hendrik Speleers Isogeometric discretizations with
generalized B-splines: Symbol-based
spectral analysis . . . . . . . . . . . 288--312
Nguyen Van Thang and
Nguyen Van Duc and
Luong Duy Nhat Minh and
Nguyen Trung Th\`anh Identifying an unknown source term in a
time-space fractional parabolic equation 313--332
Ben-Xia Niu and
Bing Zheng and
Zhan-Shan Yang A self-scaling $G$-transformation for
weighted least squares problems . . . . 333--347
Martin Bourne and
Joab R. Winkler and
Yi Su The computation of the greatest common
divisor of three bivariate Bernstein
polynomials defined in a rectangular
domain . . . . . . . . . . . . . . . . . 348--368
Anonymous Pages 1--420 (September 2021) . . . . . 1--420
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Philippe Destuynder and
Erwan Liberge A few remarks on penalty and
penalty-duality methods in
fluid-structure interactions . . . . . . 1--30
Maohua Ran and
Xiaojuan Lei A fast difference scheme for the
variable coefficient time-fractional
diffusion wave equations . . . . . . . . 31--44
Sarah Slayi and
Toufic El Arwadi and
Séréna Dib Stabilized Gauge Uzawa scheme for an
incompressible micropolar fluid flow . . 45--72
Wenting Mao and
Huasheng Wang and
Chuanjun Chen A-posteriori error estimations based on
postprocessing technique for two-sided
fractional differential equations . . . 73--91
Wenhua Ma and
Zhongshu Zhao and
Guoxi Ni A multi-resolution method for two-phase
fluids with complex equations of state
by binomial solvers in three space
dimensions . . . . . . . . . . . . . . . 92--107
Nahid Jamshidi and
Minoo Kamrani Convergence of a numerical scheme
associated to stochastic differential
equations with fractional Brownian
motion . . . . . . . . . . . . . . . . . 108--118
Abdelouahed Ouardghi and
Mofdi El-Amrani and
Mohammed Seaid An enriched Galerkin-characteristics
finite element method for
convection-dominated and transport
problems . . . . . . . . . . . . . . . . 119--142
Emirhan Hacioglu and
Faik Gürsoy and
Samet Maldar and
Yunus Atalan and
Gradimir V. Milovanovi\'c Iterative approximation of fixed points
and applications to two-point
second-order boundary value problems and
to machine learning . . . . . . . . . . 143--172
Djalal Boucenna and
D. Baleanu and
Abdellatif Ben Makhlouf and
A. M. Nagy Analysis and numerical solution of the
generalized proportional fractional
Cauchy problem . . . . . . . . . . . . . 173--186
Zohre Aminifard and
Saman Babaie-Kafaki and
Saeide Ghafoori An augmented memoryless BFGS method
based on a modified secant equation with
application to compressed sensing . . . 187--201
X. Y. Li and
B. Y. Wu Superconvergent kernel functions
approaches for the second kind Fredholm
integral equations . . . . . . . . . . . 202--210
Xiu Ye and
Shangyou Zhang A numerical scheme with divergence free
H-div triangular finite element for the
Stokes equations . . . . . . . . . . . . 211--217
Zheng Ma and
Anatoly A. Alikhanov and
Chengming Huang and
Guoyu Zhang A multi-domain spectral collocation
method for Volterra integral equations
with a weakly singular kernel . . . . . 218--236
A. G. Atta and
W. M. Abd-Elhameed and
G. M. Moatimid and
Y. H. Youssri Shifted fifth-kind Chebyshev Galerkin
treatment for linear hyperbolic
first-order partial differential
equations . . . . . . . . . . . . . . . 237--256
Zhibo Wang and
Yuxiang Liang and
Yan Mo A novel high order compact ADI scheme
for two dimensional fractional
integro-differential equations . . . . . 257--272
Danny Smyl and
Liang Chen and
Li Lai and
Dong Liu Non-cooperative finite element games . . 273--280
Fu-Rong Lin and
Zi-Hang She Stability and convergence of $3$-point
WSGD schemes for two-sided space
fractional advection-diffusion equations
with variable coefficients . . . . . . . 281--307
Tran Bao Ngoc and
Vo Viet Tri and
Zakia Hammouch and
Nguyen Huu Can Stability of a class of problems for
time-space fractional pseudo-parabolic
equation with datum measured at terminal
time . . . . . . . . . . . . . . . . . . 308--329
Bianru Cheng and
Zhenhua Guo Regularized splitting spectral method
for space-fractional logarithmic
Schrödinger equation . . . . . . . . . . 330--355
Ali Bashan Modification of quintic B-spline
differential quadrature method to
nonlinear Korteweg-de Vries equation and
numerical experiments . . . . . . . . . 356--374
Xin Liu and
Yufeng Nie A modified nonconforming virtual element
with BDM-like reconstruction for the
Navier--Stokes equations . . . . . . . . 375--388
Jianqiang Xie and
Quanxiang Wang and
Zhiyue Zhang Linear implicit finite difference
methods with energy conservation
property for space fractional
Klein--Gordon--Zakharov system . . . . . 389--419
Anonymous Pages 1--292 (October 2021) . . . . . . 1--292
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Suayip Toprakseven A weak Galerkin finite element method
for time fractional
reaction--diffusion--convection problems
with variable coefficients . . . . . . . 1--12
Huaijun Yang Superconvergence error estimate of
Galerkin method for Sobolev equation
with Burgers' type nonlinearity . . . . 13--22
Shaohong Du and
Runchang Lin and
Zhimin Zhang Robust recovery-type a posteriori
error estimators for streamline
upwind/Petrov Galerkin discretizations
for singularly perturbed problems . . . 23--40
Amit Kumar Verma and
Mukesh Kumar Rawani and
Carlo Cattani A numerical scheme for a class of
generalized Burgers' equation based on
Haar wavelet nonstandard finite
difference method . . . . . . . . . . . 41--54
Jingrun Chen and
Cheng Wang and
Changjian Xie Convergence analysis of a second-order
semi-implicit projection method for
Landau--Lifshitz equation . . . . . . . 55--74
Yue Wang and
Hu Chen and
Tao Sun $ \alpha $-Robust $ H^1$-norm
convergence analysis of ADI scheme for
two-dimensional time-fractional
diffusion equation . . . . . . . . . . . 75--83
J. J. Liu and
C. L. Sun and
M. Yamamoto Recovering the weight function in
distributed order fractional equation
from interior measurement . . . . . . . 84--103
M. W. F. M. Bannenberg and
A. Ciccazzo and
M. Günther Reduced order multirate schemes for
coupled differential-algebraic systems 104--114
A. Jalilian and
A. Abdi and
G. Hojjati Variable stepsize SDIMSIMs for ordinary
differential equations . . . . . . . . . 115--126
Boonrod Yuttanan and
Mohsen Razzaghi and
Thieu N. Vo Legendre wavelet method for fractional
delay differential equations . . . . . . 127--142
Marianne Bessemoulin-Chatard and
Claire Chainais-Hillairet and
Hél\`ene Mathis Analysis of numerical schemes for
semiconductor energy-transport models 143--169
Cairong Chen and
Yinong Yang and
Dongmei Yu and
Deren Han An inverse-free dynamical system for
solving the absolute value equations . . 170--181
Symeon Papadimitropoulos and
Dan Givoli The double absorbing boundary method for
the Helmholtz equation . . . . . . . . . 182--200
R. Park A comparison of six numerical methods
for integrating a compartmental
Hodgkin--Huxley type model . . . . . . . 201--220
Kobra Rabiei and
Mohsen Razzaghi Fractional-order Boubaker wavelets
method for solving fractional Riccati
differential equations . . . . . . . . . 221--234
Bijaya Laxmi Panigrahi Mixed Fourier Legendre spectral Galerkin
methods for two-dimensional Fredholm
integral equations of the second kind 235--250
Wenli Wang and
Caiqin Song Iterative algorithms for discrete-time
periodic Sylvester matrix equations and
its application in antilinear periodic
system . . . . . . . . . . . . . . . . . 251--273
Hongtao Ran and
Bo Zheng and
Yueqiang Shang A parallel finite element variational
multiscale method for the Navier--Stokes
equations with nonlinear slip boundary
conditions . . . . . . . . . . . . . . . 274--292
Anonymous Pages 1--414 (November 2021) . . . . . . 1--414
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Vijay Kumar Patel and
Dhirendra Bahuguna An efficient matrix approach for the
numerical solutions of electromagnetic
wave model based on fractional partial
derivative . . . . . . . . . . . . . . . 1--20
Raffaele D'Ambrosio and
Carmela Scalone Filon quadrature for stochastic
oscillators driven by time-varying
forces . . . . . . . . . . . . . . . . . 21--31
Haiyu Liu and
Shujuan Lü A high-order numerical scheme for
solving nonlinear time fractional
reaction--diffusion equations with
initial singularity . . . . . . . . . . 32--43
Mostafa Abbaszadeh and
Mehdi Dehghan A Galerkin meshless reproducing kernel
particle method for numerical solution
of neutral delay time-space
distributed-order fractional damped
diffusion-wave equation . . . . . . . . 44--63
Nazanin Abedini and
Ali Foroush Bastani and
Bijan Zohouri Zangeneh A Petrov--Galerkin finite element method
using polyfractonomials to solve
stochastic fractional differential
equations . . . . . . . . . . . . . . . 64--86
Kouta Sekine and
Mitsuhiro T. Nakao and
Shin'ichi Oishi and
Masahide Kashiwagi A numerical proof algorithm for the
non-existence of solutions to elliptic
boundary value problems . . . . . . . . 87--107
Ahmed S. Hendy and
Mahmoud A. Zaky and
Rob H. De Staelen A general framework for the numerical
analysis of high-order finite difference
solvers for nonlinear multi-term
time-space fractional partial
differential equations with time delay 108--121
Shanshan Tong and
Wei Wang and
Bo Han Accelerated homotopy perturbation
iteration method for a non-smooth
nonlinear ill-posed problem . . . . . . 122--145
Adebayo Olusegun Adewumi and
Saheed Ojo Akindeinde and
Ramoshweu Solomon Lebelo Sumudu Lagrange-spectral methods for
solving system of linear and nonlinear
Volterra integro-differential equations 146--163
Li Chen and
Shujuan Lü and
Tao Xu Fourier spectral approximation for time
fractional Burgers equation with
nonsmooth solutions . . . . . . . . . . 164--178
Romeo Martínez and
Jorge E. Macías-Díaz and
Qin Sheng An implicit semi-linear discretization
of a bi-fractional
Klein--Gordon--Zakharov system which
conserves the total energy . . . . . . . 179--200
Yueyue Pan and
Lifei Wu and
Xiaozhong Yang A difference method with intrinsic
parallelism for the variable-coefficient
compound KdV--Burgers equation . . . . . 201--220
Suchismita Patra and
V. V. K. Srinivas Kumar A local min-orthogonal based numerical
method for computing multiple coexisting
solutions to cooperative $p$-Laplacian
systems . . . . . . . . . . . . . . . . 221--242
M. Abdelhakem and
Y. H. Youssri Two spectral Legendre's derivative
algorithms for Lane--Emden, Bratu
equations, and singular perturbed
problems . . . . . . . . . . . . . . . . 243--255
Yifen Ke and
Changfeng Ma Prediction-correction matrix splitting
iteration algorithm for a class of large
and sparse linear systems . . . . . . . 256--272
Kamana Porwal and
Pratibha Shakya A finite element method for an elliptic
optimal control problem with integral
state constraints . . . . . . . . . . . 273--288
Xin Huang and
Hai-Wei Sun A preconditioner based on sine transform
for two-dimensional semi-linear Riesz
space fractional diffusion equations in
convex domains . . . . . . . . . . . . . 289--302
O. Nikan and
Z. Avazzadeh Numerical simulation of fractional
evolution model arising in viscoelastic
mechanics . . . . . . . . . . . . . . . 303--320
Aiqun Huang A proximal augmented method for
semidefinite programming problems . . . 321--333
Caixia Nan and
Huailing Song Error estimates of local discontinuous
Galerkin method with implicit-explicit
Runge Kutta for two-phase miscible flow
in porous media . . . . . . . . . . . . 334--350
K. Berbatov and
B. S. Lazarov and
A. P. Jivkov A guide to the finite and virtual
element methods for elasticity . . . . . 351--395
A. Faghih and
P. Mokhtary A novel Petrov--Galerkin method for a
class of linear systems of fractional
differential equations . . . . . . . . . 396--414
Anonymous Pages 1--434 (December 2021) . . . . . . 1--434
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
M. S. Hashemi and
E. Ashpazzadeh and
M. Moharrami and
M. Lakestani Fractional order Alpert multiwavelets
for discretizing delay fractional
differential equation of pantograph type 1--13
Dingwen Deng and
Qiang Wu Analysis of the linearly energy- and
mass-preserving finite difference
methods for the coupled
Schrödinger--Boussinesq equations . . . . 14--38
Xuhong Yu and
Long Li and
Zhongqing Wang Efficient space-time Legendre rational
spectral method for parabolic problems
in unbounded domains . . . . . . . . . . 39--54
Carlos J. S. Alves and
Rodrigo G. Serrão and
Ana L. Silvestre Fundamental solutions for the Stokes
equations: Numerical applications for
$2$D and $3$D flows . . . . . . . . . . 55--73
Swati and
Mandeep Singh and
Karanjeet Singh An advancement approach of Haar wavelet
method and Bratu-type equations . . . . 74--82
Allal Guessab and
Boris Semisalov Optimal general Hermite--Hadamard-type
inequalities in a ball and their
applications in multidimensional
numerical integration . . . . . . . . . 83--108
Mehdi Dehghan and
Akbar Shirilord On the Hermitian and skew-Hermitian
splitting-like iteration approach for
solving complex continuous-time
algebraic Riccati matrix equation . . . 109--127
Relja Vulanovi\'c and
Thái Anh Nhan An improved Kellogg--Tsan solution
decomposition in numerical methods for
singularly perturbed
convection-diffusion problems . . . . . 128--145
Fangyuan Wang and
Xiangcheng Zheng and
Zhaojie Zhou Error estimate for indirect spectral
approximation of optimal control problem
governed by fractional diffusion
equation with variable diffusivity
coefficient . . . . . . . . . . . . . . 146--161
Babak Shiri and
Guo-Cheng Wu and
Dumitru Baleanu Terminal value problems for the
nonlinear systems of fractional
differential equations . . . . . . . . . 162--178
Huiqing Liao and
Heping Ma Error estimate of a Legendre--Galerkin
Chebyshev collocation method for a class
of parabolic inverse problem . . . . . . 179--189
Sachin Kumar and
Dia Zeidan An efficient Mittag-Leffler kernel
approach for time-fractional
advection-reaction--diffusion equation 190--207
Quang A. Dang and
Quang Long Dang A unified approach to study the
existence and numerical solution of
functional differential equation . . . . 208--218
Bing Tan and
Songxiao Li and
Xiaolong Qin Self-adaptive inertial single projection
methods for variational inequalities
involving non-Lipschitz and Lipschitz
operators with their applications to
optimal control problems . . . . . . . . 219--241
Kai Liu and
Ting Fu and
Wei Shi A dissipation-preserving scheme for
damped oscillatory Hamiltonian systems
based on splitting . . . . . . . . . . . 242--254
Zhuling Jiang and
Jicheng Li Solving tensor absolute value equation 255--268
Rian Yan and
Qiang Ma and
Xiaohua Ding Convergence analysis of the hp-version
spectral collocation method for a class
of nonlinear variable-order fractional
differential equations . . . . . . . . . 269--297
Baohui Hou and
Dong Liang The energy-preserving time high-order
AVF compact finite difference scheme for
nonlinear wave equations in two
dimensions . . . . . . . . . . . . . . . 298--320
Qi Hong and
Yuezheng Gong and
Jia Zhao and
Qi Wang Arbitrarily high order
structure-preserving algorithms for the
Allen--Cahn model with a nonlocal
constraint . . . . . . . . . . . . . . . 321--339
Mingzhu Zhang and
Xinyu Mao and
Lijun Yi Exponential convergence of the
hp-version of the composite
Gauss--Legendre quadrature for integrals
with endpoint singularities . . . . . . 340--352
H. Laeli Dastjerdi and
F. Shayanfard A numerical method for the solution of
nonlinear Volterra Hammerstein integral
equations of the third-kind . . . . . . 353--363
Prince Chidyagwai A second order multirate scheme for the
evolutionary Stokes--Darcy model . . . . 364--383
Natasha Sharma Robust a-posteriori error estimates for
weak Galerkin method for the
convection-diffusion problem . . . . . . 384--397
Jian Li and
Qian Liu and
Jing Yue Numerical analysis of fully discrete
finite element methods for the
stochastic Navier--Stokes equations with
multiplicative noise . . . . . . . . . . 398--417
Shaher Momani and
Nadir Djeddi and
Mohammed Al-Smadi and
Shrideh Al-Omari Numerical investigation for
Caputo--Fabrizio fractional Riccati and
Bernoulli equations using iterative
reproducing kernel method . . . . . . . 418--434
Anonymous Pages 1--452 (January 2022) . . . . . . 1--452
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Akihiro Umeda and
Yuta Wakasugi and
Shuji Yoshikawa Energy-conserving finite difference
schemes for nonlinear wave equations
with dynamic boundary conditions . . . . 1--22
Dongyang Shi and
Chaoqun Li A new combined scheme of $ H^1
$-Galerkin FEM and TGM for bacterial
equations . . . . . . . . . . . . . . . 23--31
Maria V. Kulikova and
Gennady Yu. Kulikov Square-root filtering via covariance SVD
factors in the accurate
continuous-discrete extended-cubature
Kalman filter . . . . . . . . . . . . . 32--44
Hamid Safdari and
Majid Rajabzadeh and
Moein Khalighi LDG approximation of a nonlinear
fractional convection-diffusion equation
using B-spline basis functions . . . . . 45--57
Danxia Wang and
Xingxing Wang and
Ran Zhang and
Hongen Jia An unconditionally stable second-order
linear scheme for the
Cahn--Hilliard--Hele--Shaw system . . . 58--75
V. Domínguez and
M. Ganesh Analysis and application of an
overlapped FEM--BEM for wave propagation
in unbounded and heterogeneous media . . 76--105
Deepika Garg and
Sashikumaar Ganesan An overlapping local projection
stabilization for Galerkin
approximations of Stokes and Darcy flow
problems . . . . . . . . . . . . . . . . 106--127
Jie Xu and
Shusen Xie and
Hongfei Fu A two-grid block-centered finite
difference method for the nonlinear
regularized long wave equation . . . . . 128--148
Felix Karl Auer and
Winfried Auzinger and
Jana Burkotová and
Irena Rachunková and
Ewa B. Weinmüller On nonlinear singular BVPs with
nonsmooth data. Part 2: Convergence of
collocation methods . . . . . . . . . . 149--175
Akbar Shirilord and
Mehdi Dehghan Double parameter splitting (DPS)
iteration method for solving complex
symmetric linear systems . . . . . . . . 176--192
Maria Carmela De Bonis and
Marija P. Stani\'c and
Tatjana V. Tomovi\'c Mladenovi\'c Nyström methods for approximating the
solutions of an integral equation
arising from a problem in mathematical
biology . . . . . . . . . . . . . . . . 193--211
Yilei Shi and
Shusen Xie and
Dong Liang A fourth-order block-centered compact
difference scheme for nonlinear
contaminant transport equations with
adsorption . . . . . . . . . . . . . . . 212--232
Federica Pes and
Giuseppe Rodriguez A doubly relaxed minimal-norm
Gauss--Newton method for underdetermined
nonlinear least-squares problems . . . . 233--248
Avinash Kumar Mittal Error analysis and approximation of
Jacobi pseudospectral method for the
integer and fractional order
integro-differential equation . . . . . 249--268
S. González-Pinto and
D. Hernández-Abreu Convergence in the maximum norm of
ADI-type methods for parabolic problems 269--280
Li Shan and
Haicheng Zhang Partitioned time stepping method with
different time scales for a
dual-porosity-Stokes model . . . . . . . 281--306
Axel Kröner and
Heiko Kröner A priori error estimates for finite
element approximations of regularized
level set flows in higher norms . . . . 307--328
Jin Zhang and
Yanhui Lv Supercloseness of finite element method
on a Bakhvalov-type mesh for a
singularly perturbed problem with two
parameters . . . . . . . . . . . . . . . 329--352
Yan-Qun Jiang and
Shu-Guang Zhou and
Xu Zhang and
Ying-Gang Hu High-order weighted compact nonlinear
scheme for one- and two-dimensional
Hamilton--Jacobi equations . . . . . . . 353--368
Yuan Shen and
Qianming Gao and
Xue Yin A multi-parameter parallel ADMM for
multi-block linearly constrained
separable convex optimization . . . . . 369--388
Ting Deng and
Jin Huang and
Xiaoxia Wen and
Hongyan Liu Discrete collocation method for solving
two-dimensional linear and nonlinear
fuzzy Volterra integral equations . . . 389--407
Duong Viet Thong and
Aviv Gibali and
Phan Tu Vuong An explicit algorithm for solving
monotone variational inequalities . . . 408--425
Xuyang Na and
Xuejun Xu An optimal Robin-Robin domain
decomposition method for Stokes
equations . . . . . . . . . . . . . . . 426--441
Aroldo Pérez and
José Villa-Morales A numerical scheme for the blow-up time
of solutions of a system of nonlinear
ordinary differential equations . . . . 442--452
Anonymous Pages 1--628 (February 2022) . . . . . . 1--628
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Jiyong Li Energy-preserving exponential integrator
Fourier pseudo-spectral schemes for the
nonlinear Dirac equation . . . . . . . . 1--26
Naho Akiyama and
Toshihiro Yamada A weak approximation method for
irregular functionals of hypoelliptic
diffusions . . . . . . . . . . . . . . . 27--49
Yue Feng and
Zhiguo Xu and
Jia Yin Uniform error bounds of exponential wave
integrator methods for the long-time
dynamics of the Dirac equation with
small potentials . . . . . . . . . . . . 50--66
Stelian Ion and
Dorin Marinescu and
Stefan-Gicu Cruceanu Numerical scheme for solving a porous
Saint-Venant type model for water flow
on vegetated hillslopes . . . . . . . . 67--98
M. Brio and
J.-G. Caputo and
H. Kravitz Spectral solutions of PDEs on networks 99--117
Dongyang Shi and
Sihui Zhang Unconditional superconvergence of the
fully-discrete schemes for nonlinear
prey-predator model . . . . . . . . . . 118--132
Zhen Guan and
Jungang Wang and
Ying Liu and
Yufeng Nie Unconditionally optimal convergence of a
linearized Galerkin FEM for the
nonlinear time-fractional
mobile/immobile transport equation . . . 133--156
Pelin Çilo\uglu and
Hamdullah Yücel Stochastic discontinuous Galerkin
methods with low-rank solvers for
convection diffusion equations . . . . . 157--185
Omar De la Cruz Cabrera and
Jiafeng Jin and
Silvia Noschese and
Lothar Reichel Communication in complex networks . . . 186--205
X. Y. Li and
H. L. Wang and
B. Y. Wu A stable and efficient technique for
linear boundary value problems by
applying kernel functions . . . . . . . 206--214
J. E. Macías-Díaz On a discrete model that dissipates the
free energy of a time-space fractional
generalized nonlinear parabolic equation 215--223
Fei Xu and
Qiumei Huang and
Huiting Yang and
Hongkun Ma Multilevel correction goal-oriented
adaptive finite element method for
semilinear elliptic equations . . . . . 224--241
Minling Zheng and
Zhengmeng Jin and
Fawang Liu and
Vo Anh Matrix transfer technique for anomalous
diffusion equation involving fractional
Laplacian . . . . . . . . . . . . . . . 242--258
D. Avijit and
S. Natesan A novel two-step streamline-diffusion
FEM for singularly perturbed $2$D
parabolic PDEs . . . . . . . . . . . . . 259--278
Guangqiang Lan and
Mei Zhao and
Siyuan Qi Exponential stability of $ \theta $-EM
method for nonlinear stochastic Volterra
integro-differential equations . . . . . 279--291
Rob Stevenson and
Raymond van Venetië Operator preconditioning: the simplest
case . . . . . . . . . . . . . . . . . . 292--299
Peng Zhu and
Shenglan Xie Superconvergent weak Galerkin methods
for non-self adjoint and indefinite
elliptic problems . . . . . . . . . . . 300--314
Yayun Fu and
Dongdong Hu and
Zhuangzhi Xu High-order explicit conservative
exponential integrator schemes for
fractional Hamiltonian PDEs . . . . . . 315--331
Siqi Wei and
Raymond J. Spiteri Qualitative property preservation of
high-order operator splitting for the
SIR model . . . . . . . . . . . . . . . 332--350
Carmela Scalone Positivity preserving stochastic $
\theta $-methods for selected SDEs . . . 351--358
Leijie Qiao and
Da Xu and
Wenlin Qiu The formally second-order BDF ADI
difference/compact difference scheme for
the nonlocal evolution problem in
three-dimensional space . . . . . . . . 359--381
Nianci Wu and
Hua Xiang On the generally randomized extended
Gauss--Seidel method . . . . . . . . . . 382--392
Wansheng Wang and
Zheng Wang and
Mengli Mao Linearly implicit variable step-size BDF
schemes with Fourier pseudospectral
approximation for incompressible
Navier--Stokes equations . . . . . . . . 393--412
Farid Saberi-Movahed and
Azita Tajaddini and
Mohammed Heyouni and
Lakhdar Elbouyahyaoui Some iterative approaches for Sylvester
tensor equations, Part II: a tensor
format of Simpler variant of GCRO-based
methods . . . . . . . . . . . . . . . . 413--427
Farid Saberi-Movahed and
Azita Tajaddini and
Mohammed Heyouni and
Lakhdar Elbouyahyaoui Some iterative approaches for Sylvester
tensor equations, Part I: a tensor
format of truncated Loose Simpler GMRES 428--445
R. K. Mohanty and
Bishnu Pada Ghosh High resolution operator compact
implicit half-step approximation for
$3$D quasi-linear hyperbolic equations
and ADI method for $3$D telegraphic
equation on an irrational domain . . . . 446--474
M. C. De Bonis and
C. Laurita and
V. Sagaria A numerical method for linear Volterra
integral equations on infinite intervals
and its application to the resolution of
metastatic tumor growth models . . . . . 475--496
Xuehua Yang and
Wenlin Qiu and
Haifan Chen and
Haixiang Zhang Second-order BDF ADI Galerkin finite
element method for the evolutionary
equation with a nonlocal term in
three-dimensional space . . . . . . . . 497--513
Qiuxiang Deng and
Zhendong Luo A reduced-order extrapolated finite
difference iterative scheme for uniform
transmission line equation . . . . . . . 514--524
Tihomir B. Gyulov and
Miglena N. Koleva Penalty method for indifference pricing
of American option in a liquidity
switching market . . . . . . . . . . . . 525--545
Nikki Kedia and
Anatoly A. Alikhanov and
Vineet Kumar Singh Stable numerical schemes for
time-fractional diffusion equation with
generalized memory kernel . . . . . . . 546--565
Yuan-Ming Wang and
Yu-Jia Zhang A Crank--Nicolson-type compact
difference method with the uniform time
step for a class of weakly singular
parabolic integro-differential equations 566--590
Francesc Ar\`andiga and
Antonio Baeza and
Dionisio F. Yáñez Monotone cubic spline interpolation for
functions with a strong gradient . . . . 591--607
Dongdong Hu and
Wenjun Cai and
Xian-Ming Gu and
Yushun Wang Efficient energy preserving
Galerkin-Legendre spectral methods for
fractional nonlinear Schrödinger equation
with wave operator . . . . . . . . . . . 608--628
Anonymous Pages 1--452 (March 2022) . . . . . . . 1--452
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Samira Labidi and
Khaled Omrani A new conservative fourth-order accurate
difference scheme for the nonlinear
Schrödinger equation with wave operator 1--12
Sheng-Gwo Chen and
Jyh-Yang Wu A face-based LTL method for solving
diffusion equations and Cahn--Hilliard
equations on stationary surfaces . . . . 13--37
Qingjie Hu and
Hongrun Zhang and
Yu Chen Global convergence of a descent PRP type
conjugate gradient method for nonconvex
optimization . . . . . . . . . . . . . . 38--50
Evan North and
Semyon Tsynkov and
Eli Turkel Non-iterative domain decomposition for
the Helmholtz equation with strong
material discontinuities . . . . . . . . 51--78
Shang-Rong Cai and
Feng-Nan Hwang A hybrid-line-and-curve search
globalization technique for inexact
Newton methods . . . . . . . . . . . . . 79--93
Alex Viguerie and
Silvia Bertoluzza and
Alessandro Veneziani and
Ferdinando Auricchio A theoretical and numerical analysis of
a Dirichlet--Neumann domain
decomposition method for diffusion
problems in heterogeneous media . . . . 94--111
Hassan Yousefi and
Timon Rabczuk Wave propagation in generalized
thermo-poro-elastic media via
wavelet-based cell-adaptive central high
resolution schemes using UNO limiters 112--143
Javad Shokri and
Saeed Pishbin On the convergence analysis of the Tau
method applied to fourth-order partial
differential equation based on
Volterra--Fredholm integral equations 144--157
Khaled Mehrez New summation formulas of
Fox--Wright-type series containing the
polygamma functions . . . . . . . . . . 158--179
Huaijun Yang A novel approach of superconvergence
analysis of the bilinear-constant scheme
for time-dependent Stokes equations . . 180--192
F. Guillén-González and
M. A. Rodríguez-Bellido and
D. A. Rueda-Gómez Comparison of two finite element schemes
for a chemo-repulsion system with
quadratic production . . . . . . . . . . 193--210
Chaobao Huang and
Na An and
Hu Chen Local $H$ $^1$-norm error analysis of a
mixed finite element method for a
time-fractional biharmonic equation . . 211--221
O. Benchettou and
A. H. Bentbib and
A. Bouhamidi and
K. Kreit Tensorial conditional gradient method
for solving multidimensional ill-posed
problems . . . . . . . . . . . . . . . . 222--238
Raweerote Suparatulatorn and
Khuanchanok Chaichana A strongly convergent algorithm for
solving common variational inclusion
with application to image recovery
problems . . . . . . . . . . . . . . . . 239--248
F. Dassi and
J. Gedicke and
L. Mascotto Adaptive virtual element methods with
equilibrated fluxes . . . . . . . . . . 249--278
Devendra Kumar and
Komal Deswal and
Satpal Singh A highly accurate algorithm for
retrieving the predicted behavior of
problems with piecewise-smooth initial
data . . . . . . . . . . . . . . . . . . 279--294
Nagaiah Chamakuri and
Philipp Kügler Parallel space-time adaptive numerical
simulation of $3$D cardiac
electrophysiology . . . . . . . . . . . 295--307
Zhuangzhi Xu and
Wenjun Cai and
Dongdong Hu and
Yushun Wang Exponential integrator preserving mass
boundedness and energy conservation for
nonlinear Schrödinger equation . . . . . 308--328
G. G. Gentili and
M. Khosronejad and
G. Bernasconi and
S. Perotto and
S. Micheletti Efficient modeling of multimode guided
acoustic wave propagation in deformed
pipelines by hierarchical model
reduction . . . . . . . . . . . . . . . 329--344
Van Chien Le and
Marián Slodicka and
Karel Van Bockstal A space-time discretization for an
electromagnetic problem with moving
non-magnetic conductor . . . . . . . . . 345--364
Mehakpreet Singh and
R. K. Nayak and
Gavin Walker Convergence analysis of volume
preserving scheme for mass based
coalescence equation . . . . . . . . . . 365--379
Andrew V. Terekhov A three-dimensional Laguerre one-way
wave equation solver . . . . . . . . . . 380--394
Can Li and
Haihong Wang and
Hongyun Yue and
Shimin Guo Fast difference scheme for the
reaction--diffusion-advection equation
with exact artificial boundary
conditions . . . . . . . . . . . . . . . 395--417
Xinlong Feng and
Xiaoli Lu and
Yinnian He Difference finite element method for the
$3$D steady Stokes equations . . . . . . 418--433
Xiaoxiao He and
Weibing Deng An interface penalty parameter free
nonconforming cut finite element method
for elliptic interface problems . . . . 434--452
Anonymous Pages 1--236 (April 2022) . . . . . . . 1--236
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Shuai Wang and
Guangwei Yuan Discrete strong extremum principles for
finite element solutions of diffusion
problems with nonlinear corrections . . 1--16
Tian-jun Wang and
Guo Chai A fully discrete pseudospectral method
for the nonlinear Fokker--Planck
equations on the whole line . . . . . . 17--33
Xuan Zhao and
Xiaoli Li and
Ziyan Li Fast and efficient finite difference
method for the distributed-order
diffusion equation based on the
staggered grids . . . . . . . . . . . . 34--45
Feng Guo and
Weizhong Dai A new absorbing layer for simulation of
wave propagation based on a KdV model on
unbounded domain . . . . . . . . . . . . 46--70
D. Barrera and
M. Barton and
I. Chiarella and
S. Remogna On numerical solution of Fredholm and
Hammerstein integral equations via
Nyström method and Gaussian quadrature
rules for splines . . . . . . . . . . . 71--88
Chaolong Jiang and
Xu Qian and
Songhe Song and
Jin Cui Arbitrary high-order linear
structure-preserving schemes for the
regularized long-wave equation . . . . . 89--111
Michael D. Bragin High-order bicompact schemes for the
quasilinear multidimensional diffusion
equation . . . . . . . . . . . . . . . . 112--126
A. Abdi and
J.-P. Berrut and
S. A. Hosseini Explicit methods based on barycentric
rational interpolants for solving
non-stiff Volterra integral equations 127--141
M. A. Hamadi and
K. Jbilou and
A. Ratnani An efficient extended block Arnoldi
algorithm for feedback stabilization of
incompressible Navier--Stokes flow
problems . . . . . . . . . . . . . . . . 142--162
Zhiqiang Cai and
Jingshuang Chen and
Min Liu Least-squares ReLU neural network (LSNN)
method for scalar nonlinear hyperbolic
conservation law . . . . . . . . . . . . 163--176
P. N. Vabishchevich Numerical solution of the Cauchy problem
for Volterra integrodifferential
equations with difference kernels . . . 177--190
Ashish Rayal and
Sag Ram Verma Two-dimensional Gegenbauer wavelets for
the numerical solution of tempered
fractional model of the nonlinear
Klein--Gordon equation . . . . . . . . . 191--220
Suayip Yüzbasi A new Bell function approach to solve
linear fractional differential equations 221--235
Anonymous Pages 1--132 (May 2022) . . . . . . . . 1--132
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Yan Tang and
Honghua Lin and
Aviv Gibali and
Yeol Je Cho Convergence analysis and applications of
the inertial algorithm solving inclusion
problems . . . . . . . . . . . . . . . . 1--17
Xiaoxia Ma and
Hemant Kumar Nashine and
Sourav Shil and
Fazlollah Soleymani Exploiting higher computational
efficiency index for computing outer
generalized inverses . . . . . . . . . . 18--28
H. A. Erbay and
S. Erbay and
A. Erkip A semi-discrete numerical scheme for
nonlocally regularized KdV-type
equations . . . . . . . . . . . . . . . 29--39
Nguyen Van Duc and
Pham Quy Muoi and
Nguyen Thi Van Anh Stability results for backward heat
equations with time-dependent
coefficient in the Banach space $
L_p(\mathbb {R}) $ . . . . . . . . . . . 40--55
Yanping Chen and
Huaming Yi and
Yang Wang and
Yunqing Huang Immersed finite element approximation
for semi-linear parabolic interface
problems combining with two-grid methods 56--72
Yuxin Bi and
Li Shan and
Haicheng Zhang New decoupled method for the
evolutionary dual-porosity-Stokes model
with Beavers--Joseph interface
conditions . . . . . . . . . . . . . . . 73--97
Pengjie Liu and
Hu Shao and
Yun Wang and
Xiaoyu Wu A three-term CGPM-based algorithm
without Lipschitz continuity for
constrained nonlinear monotone equations
with applications . . . . . . . . . . . 98--107
S. Busto and
M. Dumbser A staggered semi-implicit hybrid finite
volume/finite element scheme for the
shallow water equations at all Froude
numbers . . . . . . . . . . . . . . . . 108--132
Anonymous Pages 1--182 (June 2022) . . . . . . . . 1--182
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Changping Xie and
Shaomei Fang Efficient numerical methods for Riesz
space-fractional diffusion equations
with fractional Neumann boundary
conditions . . . . . . . . . . . . . . . 1--18
Jingye Yan and
Hong Zhang and
Xu Qian and
Xiaowei Chen and
Songhe Song A novel regularized model for the
logarithmic Klein--Gordon equation . . . 19--37
Man Zhang and
Xiaozhong Yang and
Yanhua Cao Numerical analysis of block-by-block
method for a class of fractional
relaxation-oscillation equations . . . . 38--55
Kazuho Ito Convergence of a spectral Galerkin
scheme for the dynamic elastica with
periodical or hinged boundary . . . . . 56--82
F. Talay Akyildiz and
Fehaid Alshammari A new analysis of Galerkin Legendre
spectral methods for coupled
hyperbolic/parabolic system arising in
unsteady MHD flow of Maxwell fluid and
numerical simulation . . . . . . . . . . 83--103
Yiding Lin and
Xiang Wang and
Lei-Hong Zhang Solving symmetric and positive definite
second-order cone linear complementarity
problem by a rational Krylov subspace
method . . . . . . . . . . . . . . . . . 104--117
Chen-Ye Wang and
Yao-Lin Jiang and
Zhen Miao Time domain decomposition of parabolic
control problems based on discontinuous
Galerkin semi-discretization . . . . . . 118--133
Jessika Camaño and
Sergio Caucao and
Ricardo Oyarzúa and
Segundo Villa-Fuentes A posteriori error analysis of a
momentum conservative Banach spaces
based mixed-FEM for the Navier--Stokes
problem . . . . . . . . . . . . . . . . 134--158
Tiangong Zhang and
Huiyuan Li and
Zhongqing Wang Efficient space--time Jacobi rational
spectral methods for second order
time-dependent problems on unbounded
domains . . . . . . . . . . . . . . . . 159--181
Anonymous Pages 1--170 (July 2022) . . . . . . . . 1--170
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Ling Liu and
Junjie Ma Collocation boundary value methods for
auto-convolution Volterra integral
equations . . . . . . . . . . . . . . . 1--17
Yibo Wang and
Wanrong Cao and
Shengyue Li A spectral Petrov--Galerkin method for
optimal control problem governed by a
fractional ordinary differential
equation . . . . . . . . . . . . . . . . 18--33
Caixia Ou and
Dakang Cen and
Seakweng Vong and
Zhibo Wang Mathematical analysis and numerical
methods for Caputo--Hadamard fractional
diffusion-wave equations . . . . . . . . 34--57
Tao Zhang and
Xiaolin Li and
Liwei Xu Error analysis of an implicit Galerkin
meshfree scheme for general second-order
parabolic problems . . . . . . . . . . . 58--78
Auwal Bala Abubakar and
Poom Kumam and
Hassan Mohammad and
Abdulkarim Hassan Ibrahim and
Aliyu Ibrahim Kiri A hybrid approach for finding
approximate solutions to constrained
nonlinear monotone operator equations
with applications . . . . . . . . . . . 79--92
Can Liu and
Zhe Yu and
Xinming Zhang and
Boying Wu An implicit wavelet collocation method
for variable coefficients space
fractional advection-diffusion equations 93--110
B. Hingyi and
J. Karátson Detection of dead cores for
reaction-diffusion equations with a
non-smooth nonlinearity . . . . . . . . 111--122
N. Bazarra and
J. R. Fernández and
R. Quintanilla Numerical approximation of some
poro-elastic problems with MGT-type
dissipation mechanisms . . . . . . . . . 123--136
Shaoxin Wang and
Lingsheng Meng A contribution to the conditioning
theory of the indefinite least squares
problems . . . . . . . . . . . . . . . . 137--159
Christian Klein and
Nikola Stoilov Spectral approach to Korteweg--de Vries
equations on the compactified real line 160--170
Anonymous Pages 1--404 (August 2022) . . . . . . . 1--404
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Yongyong Cai and
Jinxue Fu and
Jianfeng Liu and
Tingchun Wang A fourth-order compact finite difference
scheme for the quantum Zakharov system
that perfectly inherits both mass and
energy conservation . . . . . . . . . . 1--24
Farnaz Kheirkhah and
Mojtaba Hajipour and
Dumitru Baleanu The performance of a numerical scheme on
the variable-order time-fractional
advection--reaction--subdiffusion
equations . . . . . . . . . . . . . . . 25--40
Shuguang Li and
Da Xu and
Jie Zhang and
Chengjiao Sun A new three-level fourth-order compact
finite difference scheme for the
extended Fisher--Kolmogorov equation . . 41--51
Qiaohua Liu and
Chuge Li and
Yimin Wei Condition numbers of multidimensional
mixed least squares-total least squares
problems . . . . . . . . . . . . . . . . 52--68
Max Cubillos and
Edwin Jimenez Diffraction integral computation using
sinc approximation . . . . . . . . . . . 69--83
Chun-Mei Xie and
Min-Fu Feng and
Yan Luo A hybrid high-order method for the
Sobolev equation . . . . . . . . . . . . 84--97
L. Lopez and
S. Maset Numerical event location techniques in
discontinuous differential algebraic
equations . . . . . . . . . . . . . . . 98--122
Dang Thi Oanh and
Ngo Manh Tuong An approach to adaptive refinement for
the RBF-FD method for $2$D elliptic
equations . . . . . . . . . . . . . . . 123--154
Xiu Ye and
Shangyou Zhang A weak divergence CDG method for the
biharmonic equation on triangular and
tetrahedral meshes . . . . . . . . . . . 155--165
Shuo Deng and
Jiyong Li A uniformly accurate exponential wave
integrator Fourier pseudo-spectral
method with energy-preservation for
long-time dynamics of the nonlinear
Klein--Gordon equation . . . . . . . . . 166--191
Ye Hu and
Changpin Li and
Yubin Yan Weak convergence of the L1 scheme for a
stochastic subdiffusion problem driven
by fractionally integrated additive
noise . . . . . . . . . . . . . . . . . 192--215
Lingli Wang and
Meng Li Galerkin finite element method for
damped nonlinear Schrödinger equation . . 216--247
Xin-Hui Shao and
Chong-Bo Kang A preconditioner based on sine transform
for space fractional diffusion equations 248--261
Lennart Risthaus and
Matti Schneider Solving phase-field models in the tensor
train format to generate microstructures
of bicontinuous composites . . . . . . . 262--279
Amir Noorizadegan and
Chuin-Shan Chen and
D. L. Young and
C. S. Chen Effective condition number for the
selection of the RBF shape parameter
with the fictitious point method . . . . 280--295
Cui Li and
Yongtao Zhou Block generalized Störmer--Cowell methods
applied to second order nonlinear delay
differential equations . . . . . . . . . 296--303
Mehdi Dehghan and
Zeinab Gharibi and
Mohammad Reza Eslahchi Unconditionally energy stable $ C^0
$-virtual element scheme for solving
generalized Swift--Hohenberg equation 304--328
M. Lovisetto and
D. Clamond and
B. Marcos Optimized integrating factor technique
for Schrödinger-like equations . . . . . 329--336
Fan Zhang and
Dongfang Li and
Hai-Wei Sun and
Jia-Li Zhang A stabilized fully-discrete scheme for
phase field crystal equation . . . . . . 337--355
Wanyou Cheng and
Hongsheng Chen and
Jinyun Yuan A truncated Newton algorithm for
nonconvex sparse recovery . . . . . . . 356--371
Li Zhang and
Jin Huang and
Hu Li Splitting extrapolation algorithms for
solving linear delay Volterra integral
equations with a spatial variable . . . 372--385
A. M. Shloof and
N. Senu and
A. Ahmadian and
N. M. A. Nik Long and
S. Salahshour Solving fractal-fractional differential
equations using operational matrix of
derivatives via Hilfer
fractal-fractional derivative sense . . 386--403
Anonymous Pages 1--272 (September 2022) . . . . . 1--272
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Andrzej Ka\luza Optimal global approximation of systems
of jump-diffusion SDEs on equidistant
mesh . . . . . . . . . . . . . . . . . . 1--26
Shenglan Xie and
Peng Zhu Superconvergence of a WG method for the
Stokes equations with continuous
pressure . . . . . . . . . . . . . . . . 27--38
Pierluigi Amodio and
Luigi Brugnano and
Felice Iavernaro Arbitrary high-order methods for
one-sided direct event location in
discontinuous differential problems with
nonlinear event function . . . . . . . . 39--49
Wei Huang and
Michael Multerer Isogeometric analysis of diffusion
problems on random surfaces . . . . . . 50--65
Zhili Ge and
Xin Zhang and
Zhongming Wu A fast proximal iteratively reweighted
nuclear norm algorithm for nonconvex
low-rank matrix minimization problems 66--86
Shivaranjani Nagarajan A parameter robust fitted mesh finite
difference method for a system of two
reaction--convection--diffusion
equations . . . . . . . . . . . . . . . 87--104
Lukasz P\lociniczak Linear Galerkin--Legendre spectral
scheme for a degenerate nonlinear and
nonlocal parabolic equation arising in
climatology . . . . . . . . . . . . . . 105--124
Kumar Rajeev Ranjan and
S. Gowrisankar Uniformly convergent NIPG method for
singularly perturbed convection
diffusion problem on Shishkin type
meshes . . . . . . . . . . . . . . . . . 125--148
Yuxuan Niu and
Jinfeng Wang and
Yang Liu and
Hong Li and
Zhichao Fang Local discontinuous Galerkin method
based on a family of second-order time
approximation schemes for fractional
mobile/immobile convection--diffusion
equations . . . . . . . . . . . . . . . 149--169
Hui Liang Discontinuous Galerkin approximations to
second-kind Volterra integral equations
with weakly singular kernel . . . . . . 170--182
Hu Chen and
Mengyi Chen and
Tao Sun and
Yifa Tang Local error estimate of L1 scheme for
linearized time fractional KdV equation
with weakly singular solutions . . . . . 183--190
Evelyn Buckwar and
Adeline Samson and
Massimiliano Tamborrino and
Irene Tubikanec A splitting method for SDEs with locally
Lipschitz drift: Illustration on the
FitzHugh--Nagumo model . . . . . . . . . 191--220
S. Pishbin Solving integral-algebraic equations
with non-vanishing delays by Legendre
polynomials . . . . . . . . . . . . . . 221--237
Fei Xu and
Yasai Guo and
Qiumei Huang and
Hongkun Ma An efficient multigrid method for
semilinear interface problems . . . . . 238--254
Shenglong Hu and
Qun Wang A globally convergent method for solving
a quartic generalized Markowitz
portfolio problem . . . . . . . . . . . 255--272
Anonymous Pages 1--120 (October 2022) . . . . . . 1--120
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Qingcheng Fu and
Zhen Gao and
Yaguang Gu and
Peng Li High order well-balanced conservative
finite difference AWENO scheme with
hydrostatic reconstruction for the Euler
equations under gravitational fields . . 1--15
Xiaojuan Wu and
Siqing Gan Split-step theta Milstein methods for
SDEs with non-globally Lipschitz
diffusion coefficients . . . . . . . . . 16--32
Norbert J. Mauser and
Carl-Martin Pfeiler and
Dirk Praetorius and
Michele Ruggeri Unconditional well-posedness and IMEX
improvement of a family of
predictor-corrector methods in
micromagnetics . . . . . . . . . . . . . 33--54
Matthieu Brachet and
Laurent Debreu and
Christopher Eldred Comparison of exponential integrators
and traditional time integration schemes
for the shallow water equations . . . . 55--84
Feeroz Babu and
Akram Ali and
Ali H. Alkhaldi An extragradient method for non-monotone
equilibrium problems on Hadamard
manifolds with applications . . . . . . 85--103
Eduardo Ramos and
Victor Nolasco and
Marcio Gameiro Rigorous enclosures of solutions of
Neumann boundary value problems . . . . 104--119
Anonymous Pages 1--664 (November 2022) . . . . . . 1--664
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Ting Li and
Bin Wang Geometric continuous-stage exponential
energy-preserving integrators for
charged-particle dynamics in a magnetic
field from normal to strong regimes . . 1--22
A. Moradi and
A. Abdi and
G. Hojjati Implicit--explicit second derivative
general linear methods with strong
stability preserving explicit part . . . 23--45
Longzhao Qi and
Yanren Hou An unconditionally energy-stable linear
Crank--Nicolson scheme for the
Swift--Hohenberg equation . . . . . . . 46--58
S. Fazeli and
G. Hojjati A class of two-step collocation methods
for Volterra integro-differential
equations . . . . . . . . . . . . . . . 59--75
Ali Ugur Sazaklioglu On the numerical solutions of some
identification problems for one- and
multidimensional parabolic equations
backward in time . . . . . . . . . . . . 76--93
Akbar Shirilord and
Mehdi Dehghan Combined real and imaginary parts method
for solving generalized Lyapunov matrix
equation . . . . . . . . . . . . . . . . 94--109
Mohammad Izadi and
Pradip Roul A highly accurate and computationally
efficient technique for solving the
electrohydrodynamic flow in a circular
cylindrical conduit . . . . . . . . . . 110--124
Juarez S. Azevedo A sigmoid method for some nonlinear
Fredholm integral equations of the
second kind . . . . . . . . . . . . . . 125--134
Tohid Rezazadeh and
Esmaeil Najafi Jacobi collocation method and smoothing
transformation for numerical solution of
neutral nonlinear weakly singular
Fredholm integro-differential equations 135--150
Martin Hutzenthaler and
Tuan Anh Nguyen Multilevel Picard approximations of
high-dimensional semilinear partial
differential equations with locally
monotone coefficient functions . . . . . 151--175
Gianmarco Manzini and
Annamaria Mazzia Conforming virtual element
approximations of the two-dimensional
Stokes problem . . . . . . . . . . . . . 176--203
Shilin Zeng and
Ziqing Xie and
Xiaofeng Yang and
Jiangxing Wang Efficient, linear and fast numerical
algorithm for the volume conserved
nonlocal Allen--Cahn equation . . . . . 204--224
Mohamed Kamel Riahi PiTSBiCG: Parallel in time Stable
Bi-Conjugate gradient algorithm . . . . 225--233
Shuaibin Gao and
Junhao Hu and
Jie He and
Qian Guo The truncated $ \theta $-Milstein method
for nonautonomous and highly nonlinear
stochastic differential delay equations 234--254
Xin-long Luo and
Hang Xiao The regularization continuation method
with an adaptive time step control for
linearly constrained optimization
problems . . . . . . . . . . . . . . . . 255--276
Hongliang Liu and
Haodong Li and
Yameng Zhang and
Shoufu Li and
Shuiping Yang Asymptotic stability of Runge--Kutta
method for solving nonlinear functional
differential-algebraic equations . . . . 277--292
F. Abdolabadi and
A. Zakeri and
A. Amiraslani A charge-preserving compact splitting
method for solving the coupled
stochastic nonlinear Schrödinger
equations . . . . . . . . . . . . . . . 293--319
Antonio Baeza and
Dionisio F. Yáñez A note on some bounds between cubic
spline interpolants depending on the
boundary conditions: Application to a
monotonicity property . . . . . . . . . 320--325
Mahmoud A. Zaky and
Ahmed S. Hendy and
D. Suragan Logarithmic Jacobi collocation method
for Caputo--Hadamard fractional
differential equations . . . . . . . . . 326--346
M. El Guide and
A. El Ichi and
K. Jbilou and
F. P. A. Beik Tensor Krylov subspace methods via the
Einstein product with applications to
image and video processing . . . . . . . 347--363
Pascal Heid and
Endre Süli An adaptive iterative linearised finite
element method for implicitly
constituted incompressible fluid flow
problems and its application to Bingham
fluids . . . . . . . . . . . . . . . . . 364--387
Bo Feng and
Gang Wu Refined bounds on the convergence of
block Lanczos method for extended
trust-region subproblem . . . . . . . . 388--402
Huaijun Yang and
Dongyang Shi Optimal error estimates of Galerkin
method for a nonlinear parabolic
integro-differential equation . . . . . 403--416
A. H. Ibrahim and
P. Kumam and
S. Rapaji\'c and
Z. Papp and
A. B. Abubakar Approximation methods with inertial term
for large-scale nonlinear monotone
equations . . . . . . . . . . . . . . . 417--435
Xiaochen Chu and
Chuanjun Chen and
Tong Zhang Stability and convergence of spatial
discrete stabilized finite volume method
for the unsteady incompressible
magnetohydrodynamics equations . . . . . 436--467
Ibrahim Almuslimani and
Philippe Chartier and
Mohammed Lemou and
Florian Méhats Uniformly accurate schemes for
drift-oscillatory stochastic
differential equations . . . . . . . . . 468--482
Bao-Shan Wang and
Peng Li and
Zhen Gao High-order well-balanced and
positivity-preserving finite-difference
AWENO scheme with hydrostatic
reconstruction for shallow water
equations . . . . . . . . . . . . . . . 483--502
Dianming Hou and
Hui Wang and
Chao Zhang Positivity-preserving and
unconditionally energy stable numerical
schemes for MEMS model . . . . . . . . . 503--517
Babak Azarnavid and
Mahdi Emamjomeh and
Mohammad Nabati An efficient kernel-based method for
solving nonlinear generalized
Benjamin--Bona--Mahony--Burgers equation
in irregular domains . . . . . . . . . . 518--533
Rui M. P. Almeida and
José C. M. Duque and
Belchior C. X. Mário A mixed finite element method for a
class of evolution differential
equations with $p$-Laplacian and memory 534--551
Giovanni Taraschi and
Maicon R. Correa On the convergence of the primal hybrid
finite element method on quadrilateral
meshes . . . . . . . . . . . . . . . . . 552--560
Abdelouahed Alla Hamou and
Zakia Hammouch and
Elhoussine Azroul and
Praveen Agarwal Monotone iterative technique for solving
finite difference systems of time
fractional parabolic equations with
initial/periodic conditions . . . . . . 561--593
Alexandre Pepin and
Sophie Léger and
Normand Beaudoin High-degree splines from discrete
Fourier transforms: Robust methods to
obtain the boundary conditions . . . . . 594--617
Saman Babaie-Kafaki and
Zohre Aminifard and
Saeide Ghafoori Nonmonotone diagonally scaled
limited-memory BFGS methods with
application to compressive sensing based
on a penalty model . . . . . . . . . . . 618--629
Bao-Shan Wang and
Wai Sun Don Affine-invariant WENO weights and
operator . . . . . . . . . . . . . . . . 630--646
A. Oulmelk and
L. Afraites and
A. Hadri and
M. Nachaoui An optimal control approach for
determining the source term in
fractional diffusion equation by
different cost functionals . . . . . . . 647--664
Anonymous Pages 1--370 (December 2022) . . . . . . 1--370
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Mifodijus Sapagovas and
Jurij Novickij Alternating direction method for the
wave equation with integral boundary
conditions . . . . . . . . . . . . . . . 1--13
S. Blanes and
F. Casas and
A. Escorihuela-Tom\`as Runge--Kutta--Nyström symplectic
splitting methods of order 8 . . . . . . 14--27
Jiewen He and
Seakweng Vong Fast modulus-based matrix splitting
iteration methods for implicit
complementarity problems . . . . . . . . 28--41
Dandan Yang and
Zhiwen Duan The inverse source problem of Cherenkov
radiation model . . . . . . . . . . . . 42--56
Olaniyi S. Iyiola and
Yekini Shehu Convergence results of two-step inertial
proximal point algorithm . . . . . . . . 57--75
Saudia Jabeen and
Jorge E. Macías-Díaz and
Muhammad Aslam Noor and
Muhammad Bilal Khan and
Khalida Inayat Noor Design and convergence analysis of some
implicit inertial methods for
quasi-variational inequalities via the
Wiener--Hopf equations . . . . . . . . . 76--86
Chaeyoung Lee and
Yongho Choi and
Junseok Kim An explicit stable finite difference
method for the Allen--Cahn equation . . 87--99
Yongmei Cai and
Junhao Hu and
Xuerong Mao Positivity and boundedness preserving
numerical scheme for the stochastic
epidemic model with square-root
diffusion term . . . . . . . . . . . . . 100--116
Davide Torlo and
Philipp Öffner and
Hendrik Ranocha Issues with positivity-preserving
Patankar-type schemes . . . . . . . . . 117--147
Sattar M. Hassan and
Akil J. Harfash Finite element analysis of a two-species
chemotaxis system with two chemicals . . 148--175
Xiaonian Long and
Qianqian Ding Convergence analysis of a conservative
finite element scheme for the thermally
coupled incompressible inductionless MHD
problem . . . . . . . . . . . . . . . . 176--195
Zuodi Xie and
Tieqiang Gang Discrete LQR and ILQR methods based on
high order Runge--Kutta discretizations 196--213
Howayda Abo-Gabal and
Mahmoud A. Zaky and
Eid H. Doha Fractional Romanovski--Jacobi tau method
for time-fractional partial differential
equations with nonsmooth solutions . . . 214--234
Zhou Sheng and
Weiwei Yang and
Jie Wen A Riemannian gradient ascent algorithm
with applications to orthogonal
approximation problems of symmetric
tensors . . . . . . . . . . . . . . . . 235--247
Xavier Antoine and
Emmanuel Lorin A Schwarz waveform relaxation method for
time-dependent space fractional
Schrödinger/heat equations . . . . . . . 248--264
Nasibeh Karamollahi and
Mohammad Heydari and
Ghasem Barid Loghmani and
Amit K. Verma An explicit representation of the
three-point Hermite interpolant for the
numerical solution of singular boundary
value problems . . . . . . . . . . . . . 265--284
Yuyu He and
Hongtao Chen Efficient and conservative compact
difference scheme for the coupled
Schrödinger--Boussinesq equations . . . . 285--307
Yuanyuan Zhang and
Qingbiao Wu and
Yuye Feng and
Yao Xiao Modified Newton-PSBTS method for solving
complex nonlinear systems with symmetric
Jacobian matrices . . . . . . . . . . . 308--329
Dongping Li and
Yue Zhang and
Xiuying Zhang Computing the Lyapunov operator $ \phi
$-functions, with an application to
matrix-valued exponential integrators 330--343
A. Abdi and
D. Conte and
R. D'Ambrosio and
B. Paternoster Multivalue second derivative collocation
methods . . . . . . . . . . . . . . . . 344--355
Hameed Ullah Jan and
Marjan Uddin and
Thabet Abdeljawad and
Muhammad Zamir Numerical study of high order nonlinear
dispersive PDEs using different RBF
approaches . . . . . . . . . . . . . . . 356--369
Anonymous Pages 1--368 (January 2023) . . . . . . 1--368
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Michal Bra\'s and
Giuseppe Izzo and
Zdzislaw Jackiewicz A new class of $ G(\epsilon)
$-symplectic general linear methods . . 1--14
Raed Ali Mara'Beh and
Raymond J. Spiteri and
P. González and
José M. Mantas $3$-additive linear multi-step methods
for diffusion--reaction--advection
models . . . . . . . . . . . . . . . . . 15--38
Huaijun Yang Unconditionally optimal error estimate
of mass- and energy-stable Galerkin
method for Schrödinger equation with
cubic nonlinearity . . . . . . . . . . . 39--55
Huagui Liu and
Banban Shi and
Fuke Wu Tamed Euler--Maruyama approximation of
McKean--Vlasov stochastic differential
equations with super-linear drift and
Hölder diffusion coefficients . . . . . . 56--85
Yun-Bo Yang and
Yao-Lin Jiang Optimal error estimates of a
lowest-order Galerkin-mixed FEM for the
thermoviscoelastic Joule heating
equations . . . . . . . . . . . . . . . 86--107
Maged Alkilayh and
Lothar Reichel and
Qiang Ye A method for computing a few eigenpairs
of large generalized eigenvalue problems 108--117
Min Zhang and
Wenjing Yan and
Feifei Jing and
Haixia Zhao Discontinuous Galerkin method for the
diffusive-viscous wave equation . . . . 118--139
Y. Cao and
O. Nikan and
Z. Avazzadeh A localized meshless technique for
solving $2$D nonlinear
integro-differential equation with
multi-term kernels . . . . . . . . . . . 140--156
Hirotada Okawa and
Kotaro Fujisawa and
Yu Yamamoto and
Ryosuke Hirai and
Nobutoshi Yasutake and
Hiroki Nagakura and
Shoichi Yamada The W4 method: a new multi-dimensional
root-finding scheme for nonlinear
systems of equations . . . . . . . . . . 157--172
Jiaxiang Cai and
Juan Chen Efficient dissipation-preserving
approaches for the damped nonlinear
Schrödinger equation . . . . . . . . . . 173--185
H. de la Cruz A simplified weak simulation method for
the probabilistic response analysis of
nonlinear random vibration problems . . 186--200
Tom Chou and
Sihong Shao and
Mingtao Xia Adaptive Hermite spectral methods in
unbounded domains . . . . . . . . . . . 201--220
Miroslav S. Petrov and
Todor D. Todorov Isoparametric numerical integration on
enriched $4$D simplicial elements . . . 221--235
J. Garres-Díaz and
C. Escalante and
T. Morales de Luna and
M. J. Castro Díaz A general vertical decomposition of
Euler equations: Multilayer-moment
models . . . . . . . . . . . . . . . . . 236--262
Tingchun Wang and
Yue Cheng and
Lihai Ji Unconditional optimal error estimates of
conservative methods for
Klein--Gordon--Dirac system in two
dimensions . . . . . . . . . . . . . . . 263--278
Zeze Zhang and
Hongchan Zheng and
Jie Zhou Convergence analysis of Hermite
subdivision schemes of any arity . . . . 279--300
Pham Quy Muoi $ l^1$-weighted regularization for the
problem of recovering sparse initial
conditions in parabolic equations from
final measurements . . . . . . . . . . . 301--316
C. Clavero and
J. C. Jorge A splitting uniformly convergent method
for one-dimensional parabolic singularly
perturbed convection--diffusion systems 317--332
Mingyan He and
Jia Tian and
Pengtao Sun and
Zhengfang Zhang An energy-conserving finite element
method for nonlinear fourth-order wave
equations . . . . . . . . . . . . . . . 333--354
Adán J. Serna-Reyes and
J. E. Macías-Díaz and
Nuria Reguera-López Analysis of a scheme which preserves the
dissipation and positivity of Gibbs'
energy for a nonlinear parabolic
equation with variable diffusion . . . . 355--368
Anonymous Pages 1--580 (February 2023) . . . . . . 1--580
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Ömür Kivanç Kürkçü An exclusive spectral computational
approach based on quadratic
orthoexponential polynomials for solving
integro-differential equations with
delays on the real line . . . . . . . . 1--17
I. Gómez-Bueno and
S. Boscarino and
M. J. Castro and
C. Parés and
G. Russo Implicit and semi-implicit well-balanced
finite-volume methods for systems of
balance laws . . . . . . . . . . . . . . 18--48
Moumita Mandal and
Arnab Kayal and
Gnaneshwar Nelakanti Projection methods for approximate
solution of a class of nonlinear
Fredholm integro-differential equations 49--76
Carlos M. Beltrán-Larrotta and
Diego A. Rueda-Gómez and
Élder J. Villamizar-Roa On a chemotaxis-Navier--Stokes system
with Lotka--Volterra competitive
kinetics: Theoretical and numerical
analysis . . . . . . . . . . . . . . . . 77--100
J. A. Ferreira and
H. P. Gómez and
L. Pinto A numerical scheme for a partial
differential system motivated by
light-triggered drug delivery . . . . . 101--120
Jun-Liang Fu and
Jijun Liu Recovery of a potential coefficient in a
pseudoparabolic system from nonlocal
observation . . . . . . . . . . . . . . 121--136
Wei Liu and
Xuerong Mao and
Yue Wu The backward Euler--Maruyama method for
invariant measures of stochastic
differential equations with super-linear
coefficients . . . . . . . . . . . . . . 137--150
Hailong Qiu An optimally accurate second-order
time-stepping algorithm for the
nonstationary magneto-hydrodynamics
equations . . . . . . . . . . . . . . . 151--170
Avram Sidi Spectrally accurate numerical quadrature
formulas for a class of periodic
Hadamard Finite Part integrals by
regularization . . . . . . . . . . . . . 171--196
Mo Faheem and
Arshad Khan A wavelet collocation method based on
Gegenbauer scaling function for solving
fourth-order time-fractional
integro-differential equations with a
weakly singular kernel . . . . . . . . . 197--218
Hong-Jie Zhao and
Haijian Yang and
Jizu Huang Parallel generalized Lagrange--Newton
method for fully coupled solution of
PDE-constrained optimization problems
with bound-constraints . . . . . . . . . 219--233
Haitao Fan and
Chi-Wang Shu High order numerical methods for flows
with hysteretic fluxes . . . . . . . . . 234--252
Jiyuan Zhang and
Yifan Qin and
Qifeng Zhang Maximum error estimates of two
linearized compact difference schemes
for two-dimensional nonlinear Sobolev
equations . . . . . . . . . . . . . . . 253--272
Yufen Liu and
Wanrong Cao and
Zhongqiang Zhang Strong 1.5 order scheme for second-order
stochastic differential equations
without Levy area . . . . . . . . . . . 273--284
Hassan Mohammad and
Kamaluddeen Umar Danmalam Structured spectral algorithm with a
nonmonotone line search for nonlinear
least squares . . . . . . . . . . . . . 285--300
Shujiang Tang Improvements of the fifth-order
WENO-JS-type scheme with normalized
smoothing factor for gas dynamic Euler
equations . . . . . . . . . . . . . . . 301--324
Yi Jiang and
Jun Liu Fast parallel-in-time quasi-boundary
value methods for backward heat
conduction problems . . . . . . . . . . 325--339
Jinbao Jian and
Yao Qin and
Jianghua Yin and
Guodong Ma Theoretical characteristics and
numerical methods for a class of special
piecewise quadratic optimization . . . . 340--356
M. A. Aljohani and
P. K. Jimack and
M. A. Walkley A faster optimal solver for thin film
flows . . . . . . . . . . . . . . . . . 357--370
Majed Alotaibi and
Alessandro Buccini and
Lothar Reichel Krylov subspace split Bregman methods 371--390
Shko Ali Tahir and
Murat Sari A new approach for the coupled
advection--diffusion processes including
source effects . . . . . . . . . . . . . 391--405
Mengmeng Duan and
Yan Yang and
Minfu Feng A weak Galerkin finite element method
for the Kelvin--Voigt viscoelastic fluid
flow model . . . . . . . . . . . . . . . 406--430
Jamilu Sabi'u and
Abdullah Shah and
Predrag S. Stanimirovi\'c and
Branislav Ivanov and
Mohammed Yusuf Waziri Modified optimal Perry conjugate
gradient method for solving system of
monotone equations with applications . . 431--445
Francesco Dell'Accio and
Filomena Di Tommaso and
Allal Guessab and
Federico Nudo On the improvement of the triangular
Shepard method by non conformal
polynomial elements . . . . . . . . . . 446--460
Gerk Rozema and
Arthur E. P. Veldman and
Natasha M. Maurits Quasi-simultaneous coupling methods for
partitioned problems in computational
hemodynamics . . . . . . . . . . . . . . 461--481
Yuezheng Gong and
Bingquan Ji and
Hong-lin Liao A maximum bound principle preserving
iteration technique for a class of
semilinear parabolic equations . . . . . 482--495
Shaohong Du and
Yongping Cheng and
Mingjun Li High order spline finite element method
for the fourth-order parabolic equations 496--511
Yibao Li and
Kang Qin and
Qing Xia and
Junseok Kim A second-order unconditionally stable
method for the anisotropic dendritic
crystal growth model with an
orientation-field . . . . . . . . . . . 512--526
Samira Labidi and
Khaled Omrani A new approach for numerical solution of
Kuramoto--Tsuzuki equation . . . . . . . 527--541
Yuxue Ma and
Jianchao Bai and
Hao Sun An inexact ADMM with proximal-indefinite
term and larger stepsize . . . . . . . . 542--566
Hadi Mohammadi-Firouzjaei and
Hojatollah Adibi and
Mehdi Dehghan Study of the backward difference and
local discontinuous Galerkin (LDG)
methods for solving fourth-order partial
integro-differential equations (PIDEs)
with memory terms: Stability analysis 567--580
Anonymous Pages 1--592 (March 2023) . . . . . . . 1--592
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Chao Xu and
Lifang Pei Unconditional superconvergence analysis
of two modified finite element fully
discrete schemes for nonlinear Burgers'
equation . . . . . . . . . . . . . . . . 1--17
Cristina Anton Explicit pseudo-symplectic Runge--Kutta
methods for stochastic Hamiltonian
systems . . . . . . . . . . . . . . . . 18--37
D. P. Clemence-Mkhope and
S. Mabuza and
M. A. Rivas Persistence of dynamic consistency of
nonstandard numerical schemes for the
Fisher--KPP equation . . . . . . . . . . 38--55
Wansheng Wang and
Qiong Chen and
Mengli Mao An efficient IMEX method for nonlinear
functional differential equations with
state-dependent delay . . . . . . . . . 56--71
Mustafa Aggul and
Fatma G. Eroglu and
Songül Kaya Artificial compression method for MHD
system in Elsässer variables . . . . . . 72--87
Ajay Singh Rathore and
Vembu Shanthi and
Higinio Ramos A fitted numerical method for a
singularly perturbed Fredholm
integro-differential equation with
discontinuous source term . . . . . . . 88--100
Harald Schmid Computation of the eigenvalues for the
angular and Coulomb spheroidal wave
equation . . . . . . . . . . . . . . . . 101--119
Rongjun Cao and
Minghua Chen and
Yingfan Qi and
Jiankang Shi and
Xiaobo Yin Analysis of (shifted) piecewise
quadratic polynomial collocation for
nonlocal diffusion model . . . . . . . . 120--140
Meena Pargaei and
B. V. Rathish Kumar A $3$D Haar wavelet method for a coupled
degenerate system of parabolic equations
with nonlinear source coupled with
non-linear ODEs . . . . . . . . . . . . 141--164
Xiaojia Yang and
Lin Zhang and
Yongbin Ge High-order compact finite difference
schemes for solving the regularized
long-wave equation . . . . . . . . . . . 165--187
Jiejing Bai and
Hassan Ullah and
Chun Li Energy-preserving methods for non-smooth
nonlinear Schrödinger equations . . . . . 188--202
Lukasz P\lociniczak A linear Galerkin numerical method for a
quasilinear subdiffusion equation . . . 203--220
Jiexing Zhang and
Yi Wang and
Guoxi Ni A positivity-preserving RD-FV scheme for
diffusion problems on triangular meshes 221--235
Yuwei Chen and
Christina C. Christara Bilateral XVA pricing under stochastic
default intensity: PDE modelling and
computation . . . . . . . . . . . . . . 236--259
Tao Guo and
Mahmoud A. Zaky and
Ahmed S. Hendy and
Wenlin Qiu Pointwise error analysis of the BDF3
compact finite difference scheme for
viscous Burgers' equations . . . . . . . 260--277
Ahmad Molabahrami and
Boualem Khouider and
Mohsen Jalalian A discrete collocation method based on
the radial basis functions for solving
system of integral equations of the
second kind . . . . . . . . . . . . . . 278--294
A. K. Omran and
M. A. Zaky and
A. S. Hendy and
V. G. Pimenov Numerical algorithm for a generalized
form of Schnakenberg reaction-diffusion
model with gene expression time delay 295--310
Walter Boscheri and
Maurizio Tavelli and
Cristóbal E. Castro An all Froude high order IMEX scheme for
the shallow water equations on
unstructured Voronoi meshes . . . . . . 311--335
Divay Garg and
Kamana Porwal Unified discontinuous Galerkin finite
element methods for second order
Dirichlet boundary control problem . . . 336--364
Tomás Chacón Rebollo and
Enrique Delgado Ávila and
Macarena Gómez Mármol On a certified VMS--Smagorinsky reduced
basis model with LPS pressure
stabilisation . . . . . . . . . . . . . 365--385
Christoph Helmer and
Ansgar Jüngel and
Antoine Zurek Analysis of a finite-volume scheme for a
single-species biofilm model . . . . . . 386--405
B. Lahmi and
M. Rhoudaf and
N. Sta\"\ili Numerical analysis of a nonlinear
discrete duality finite volume scheme
for Leray--Lions type elliptic problems
in Orlicz spaces . . . . . . . . . . . . 406--433
Elnaz Pourfattah and
Mohammad Jahangiri Rad and
Behzad Nemati Saray An efficient algorithm based on the
Pseudospectral method for solving Abel's
integral equation using Hermite cubic
spline scaling bases . . . . . . . . . . 434--445
Zubair Ahmad and
Giuliano Bonanomi and
Daniela di Serafino and
Francesco Giannino Transmission dynamics and sensitivity
analysis of pine wilt disease with
asymptomatic carriers via
fractal-fractional differential operator
of Mittag-Leffler kernel . . . . . . . . 446--465
L. Qiao and
O. Nikan and
Z. Avazzadeh Some efficient numerical schemes for
approximating the nonlinear two-space
dimensional extended Fisher--Kolmogorov
equation . . . . . . . . . . . . . . . . 466--482
Mengya Feng and
Tongjun Sun Stochastic perturbation method for
optimal control problem governed by
parabolic PDEs with small uncertainties 483--502
Maged Alkilayh and
Lothar Reichel Some numerical aspects of
Arnoldi--Tikhonov regularization . . . . 503--515
Raffaele D'Ambrosio and
Afsaneh Moradi and
Carmela Scalone A long term analysis of stochastic theta
methods for mean reverting linear
process with jumps . . . . . . . . . . . 516--529
Jijing Zhao and
Fuzheng Gao and
Hongxing Rui The weak Galerkin method for the
miscible displacement of incompressible
fluids in porous media on polygonal mesh 530--548
Sandip Maji and
Srinivasan Natesan Analytical and numerical solutions of
time-fractional
advection-diffusion-reaction equation 549--570
Sihui Zhang and
Xiangyu Shi and
Dongyang Shi Unconditional superconvergence analysis
of nonconforming $ {EQ_1^{\em rot}} $
finite element method for the nonlinear
coupled predator-prey equations . . . . 571--591
Anonymous Pages 1--410 (April 2023) . . . . . . . 1--410
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Omar A. Khalil and
Hany A. El-Sharkawy and
Maha Youssef and
Gerd Baumann Adaptive piecewise Poly-Sinc methods for
function approximation . . . . . . . . . 1--18
Hong Zhang and
Jingye Yan and
Xu Qian and
Songhe Song Temporal high-order, unconditionally
maximum-principle-preserving integrating
factor multi-step methods for
Allen--Cahn-type parabolic equations . . 19--40
Bao-Shan Wang and
Wai Sun Don and
Peng Li Fifth-order well-balanced
positivity-preserving finite difference
AWENO scheme with hydrostatic
reconstruction for hyperbolic chemotaxis
models . . . . . . . . . . . . . . . . . 41--56
Charles-Edouard Bréhier and
David Cohen Analysis of a splitting scheme for a
class of nonlinear stochastic Schrödinger
equations . . . . . . . . . . . . . . . 57--83
Thái Anh Nhan and
Relja Vulanovi\'c Analysis of a second-order hybrid scheme
on Bakhvalov-type meshes: the
truncation-error and barrier-function
approach . . . . . . . . . . . . . . . . 84--99
Julee Shahni and
Randhir Singh and
Carlo Cattani Bernoulli collocation method for the
third-order Lane--Emden--Fowler boundary
value problem . . . . . . . . . . . . . 100--113
M. Issaoui and
M. Kzaz and
F. Maach Asymptotic-numerical solvers for
diffusion equation with time-like highly
oscillatory forcing terms . . . . . . . 114--128
Mirjana Brdar and
Sebastian Franz and
Lars Ludwig and
Hans-Görg Roos Numerical analysis of a singularly
perturbed convection diffusion problem
with shift in space . . . . . . . . . . 129--142
Jorge L. López-Agredo and
Diego A. Rueda-Gómez and
Élder J. Villamizar-Roa Theoretical and numerical analysis of a
parabolic system with chemoattraction
modeling the growth of glioma cells . . 143--163
Wenju Liu and
Tengjin Zhao and
Kazufumi Ito and
Zhiyue Zhang Error estimates of Fourier finite volume
element method for parabolic Dirichlet
boundary optimal control problems on
complex connected domains . . . . . . . 164--201
Samad Noeiaghdam and
Denis Sidorov and
Aliona Dreglea A novel numerical optimality technique
to find the optimal results of Volterra
integral equation of the second kind
with discontinuous kernel . . . . . . . 202--212
A. Abdi and
G. Hojjati and
Z. Jackiewicz and
H. Podhaisky and
M. Sharifi On the implementation of explicit
two-step peer methods with Runge--Kutta
stability . . . . . . . . . . . . . . . 213--227
Fengxin Chen and
Qiming Wang and
Zhaojie Zhou Two-grid virtual element discretization
of semilinear elliptic problem . . . . . 228--240
Angelamaria Cardone Stability analysis of ef Gaussian direct
quadrature methods for Volterra integral
equations . . . . . . . . . . . . . . . 241--251
Cónall Kelly and
Gabriel J. Lord An adaptive splitting method for the
Cox--Ingersoll--Ross process . . . . . . 252--273
Nawal Hassan Almalki and
Abdelhafeez Ahmed Elshekhipy and
Ibtesam Shafi Almutairi A numerical modeling and its
computational implementing simulation
for generating distributions of the
complicated random variable
transformations with applications . . . 274--288
Zhong-Zhi Bai and
Lu Wang On convergence rates of Kaczmarz-type
methods with different selection rules
of working rows . . . . . . . . . . . . 289--319
Aiman Zara and
Shafiq Ur Rehman and
Fayyaz Ahmad Kernel smoothing method for the
numerical approximation of
Benjamin--Bona--Mahony--Burgers'
equation . . . . . . . . . . . . . . . . 320--333
Satpal Singh and
Devendra Kumar and
Vembu Shanthi Uniformly convergent scheme for
fourth-order singularly perturbed
convection-diffusion ODE . . . . . . . . 334--357
A. S. Hashemi and
M. Heydari and
G. B. Loghmani Iterative compact finite difference
method for the numerical study of fully
wet porous fins with different profile
shapes . . . . . . . . . . . . . . . . . 358--377
Meng Li and
Lingli Wang and
Nan Wang Variable-time-step BDF2 nonconforming
VEM for coupled Ginzburg--Landau
equations . . . . . . . . . . . . . . . 378--410
Anonymous Pages 1--294 (May 2023) . . . . . . . . 1--294
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Francesco Dell'Accio and
Filomena Di Tommaso and
Allal Guessab and
Federico Nudo A unified enrichment approach of the
standard three-node triangular element 1--23
Rodolfo Araya and
Cristian Cárcamo and
Abner H. Poza A stabilized finite element method for
the Stokes-Temperature coupled problem 24--49
Kang-Bo Tian and
Wai Sun Don and
Bao-Shan Wang High order WENO finite difference scheme
with adaptive dual order ideal weights
for hyperbolic conservation laws . . . . 50--70
Shun Sato and
Yuto Miyatake and
John C. Butcher High-order linearly implicit schemes
conserving quadratic invariants . . . . 71--88
Jiangming Xie and
Maojun Li A fast BDF2 Galerkin finite element
method for the one-dimensional
time-dependent Schrödinger equation with
artificial boundary conditions . . . . . 89--106
Hu Li and
Jin Huang and
Chong Chen Numerical algorithm with high accuracy
for the modified Helmholtz equation with
Robin boundary value problem . . . . . . 107--119
Mehakpreet Singh Rate of convergence of two moments
consistent finite volume scheme for
non-classical divergence coagulation
equation . . . . . . . . . . . . . . . . 120--137
Yuesheng Xu Sparse machine learning in Banach spaces 138--157
F. S. Naranjo-Noda and
J. C. Jimenez Jacobian-free High Order Local
Linearization methods for large systems
of initial value problems . . . . . . . 158--175
Ram Shiromani and
Vembu Shanthi and
Higinio Ramos Numerical treatment of a singularly
perturbed 2-D convection-diffusion
elliptic problem with Robin-type
boundary conditions . . . . . . . . . . 176--191
Toshihiro Yamada A new algorithm for computing path
integrals and weak approximation of SDEs
inspired by large deviations and
Malliavin calculus . . . . . . . . . . . 192--205
Avleen Kaur and
S. H. Lui Space-time spectral method for the
Stokes problem . . . . . . . . . . . . . 206--234
Carlos M. Mora and
Juan Carlos Jimenez and
Monica Selva Weak variable step-size schemes for
stochastic differential equations based
on controlling conditional moments . . . 235--261
Mostafa Abbaszadeh and
Mahmoud A. Zaky and
Ahmed S. Hendy and
Mehdi Dehghan A two-grid spectral method to study of
dynamics of dense discrete systems
governed by Rosenau--Burgers' equation 262--276
Luoping Chen and
Jiajia Dai and
Yiming Wen A posteriori error estimates of two-grid
weak Galerkin methods for semilinear
elliptic differential equations . . . . 277--294
Anonymous Pages 1--160 (June 2023) . . . . . . . . 1--160
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Meng Cai and
Siqing Gan and
Yaozhong Hu Weak convergence of the backward Euler
method for stochastic Cahn--Hilliard
equation with additive noise . . . . . . 1--20
Yanjun Li and
Hai Bi A locking-free discontinuous Galerkin
method for linear elastic Steklov
eigenvalue problem . . . . . . . . . . . 21--41
Jun Yang and
Nianyu Yi and
Hong Zhang High-order, unconditionally
maximum-principle preserving finite
element method for the Allen--Cahn
equation . . . . . . . . . . . . . . . . 42--61
Xiaoli Li and
Jie Shen Error estimate of a consistent splitting
GSAV scheme for the Navier--Stokes
equations . . . . . . . . . . . . . . . 62--74
Hamed Mohebalizadeh and
Hojatollah Adibi and
Mehdi Dehghan On the fractional Laplacian of some
positive definite kernels with
applications in numerically solving the
surface quasi-geostrophic equation as a
prominent fractional calculus model . . 75--87
Archna Kumari and
Vijay Kumar Kukreja Study of 4-th order
Kuramoto--Sivashinsky equation by septic
Hermite collocation method . . . . . . . 88--105
Yi Qin and
Lele Chen and
Yang Wang and
Yi Li and
Jian Li An adaptive time-stepping DLN decoupled
algorithm for the coupled Stokes--Darcy
model . . . . . . . . . . . . . . . . . 106--128
S. González-Pinto and
D. Hernández-Abreu and
G. Pagano and
S. Pérez-Rodríguez Generalized TASE-RK methods for stiff
problems . . . . . . . . . . . . . . . . 129--145
María Luz Alvarez and
Ricardo G. Durán A posteriori error estimates for mixed
approximations of degenerate elliptic
problems . . . . . . . . . . . . . . . . 146--159
Anonymous Pages 1--150 (July 2023) . . . . . . . . 1--150
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Huaming Yi and
Yanping Chen and
Yang Wang and
Yunqing Huang A two-grid immersed finite element
method with the Crank--Nicolson time
scheme for semilinear parabolic
interface problems . . . . . . . . . . . 1--22
Jiansong Zhang and
Jiang Zhu and
Héctor Andrés Vargas Poblete and
Maosheng Jiang A hybrid mixed finite element method for
convection--diffusion--reaction equation
with local exponential fitting technique 23--38
Zhuling Jiang and
Jicheng Li A new preconditioned AOR-type method for
$ \mathcal {M} $-tensor equation . . . . 39--52
Sirajul Haq and
Shams Ul Arifeen and
Ayesha Noreen An efficient computational technique for
higher order KdV equation arising in
shallow water waves . . . . . . . . . . 53--65
Qingsong Wang and
Deren Han A generalized inertial proximal
alternating linearized minimization
method for nonconvex nonsmooth problems 66--87
Feng Guo and
Weizhong Dai A new absorbing layer approach for
solving the nonlinear Schrödinger
equation . . . . . . . . . . . . . . . . 88--106
S. Priyadarshana and
J. Mohapatra and
S. R. Pattanaik A second order fractional step hybrid
numerical algorithm for time delayed
singularly perturbed $2$D
convection--diffusion problems . . . . . 107--129
Helmi Temimi Error analysis of a novel discontinuous
Galerkin method for the two-dimensional
Poisson's equation . . . . . . . . . . . 130--150
Anonymous Pages 1--344 (August 2023) . . . . . . . 1--344
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
A. Moradi and
R. D'Ambrosio and
B. Paternoster Variable stepsize multivalue collocation
methods . . . . . . . . . . . . . . . . 1--14
Li Tan and
Shengrong Wang and
Liangqing Luo Strong convergence rate of implicit
Euler scheme to a CIR model with delay 15--26
R. H. W. Hoppe An adaptive C$^0$ Interior Penalty
Discontinuous Galerkin method and an
equilibrated a posteriori error
estimator for the von Kármán equations . . 27--49
Fasika Wondimu Gelu and
Gemechis File Duressa A parameter-uniform numerical method for
singularly perturbed Robin type
parabolic convection--diffusion turning
point problems . . . . . . . . . . . . . 50--64
Hongliang Liu and
Yilin You and
Haodong Li and
Shoufu Li Canonical Euler splitting method for
parabolic partial functional
differential algebraic equations . . . . 65--83
Abhay Kumar Chaturvedi and
S. Chandra Sekhara Rao Analysis of an LDG-FEM for a
two-dimensional singularly perturbed
convection--reaction--diffusion problem
with interior and boundary layers . . . 84--109
Hua Wu and
Qiyi Gao A space-time spectral method for solving
the nonlinear Klein--Gordon equation . . 110--137
Sergio Caucao and
Marco Discacciati A mixed FEM for the coupled
Brinkman--Forchheimer/Darcy problem . . 138--154
Fariba Bakrani Balani and
Masoud Hajarian and
Luca Bergamaschi Two block preconditioners for a class of
double saddle point linear systems . . . 155--167
J. L. Gracia and
E. O'Riordan A singularly perturbed
convection--diffusion parabolic problem
with incompatible boundary/initial data 168--186
Keyvan Amini and
Parvaneh Faramarzi An adaptive modified three-term
conjugate gradient method with global
convergence . . . . . . . . . . . . . . 187--199
Shanshan Gu and
Shimin Chai and
Chenguang Zhou and
Jinhui Zhou Weak Galerkin finite element method for
linear poroelasticity problems . . . . . 200--219
Yingyuan Li and
Wenjing Yan and
Shengfeng Zhu and
Feifei Jing Optimal error estimates of the discrete
shape gradients for shape optimizations
governed by the Stokes--Brinkman
equations . . . . . . . . . . . . . . . 220--253
R. Altmann and
C. Zimmer Dissipation-preserving discretization of
the Cahn--Hilliard equation with dynamic
boundary conditions . . . . . . . . . . 254--269
Paraskevi Fika Approximation of the Tikhonov
regularization parameter through
Aitken's extrapolation . . . . . . . . . 270--282
Jae-Hun Jung and
Daniel Olmos-Liceaga A Chebyshev multidomain adaptive mesh
method for reaction--diffusion equations 283--302
Jie Zhang and
Xinmin Yang Smoothing fast proximal gradient
algorithm for the relaxation of matrix
rank regularization problem . . . . . . 303--320
Yuzhuo Dong and
Xiao Li and
Zhonghua Qiao and
Zhengru Zhang Stability and convergence analysis of
the exponential time differencing scheme
for a Cahn--Hilliard binary
fluid-surfactant model . . . . . . . . . 321--343
Anonymous Pages 1--74 (September 2023) . . . . . . 1--74
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Xiaoqin Shen and
Chen Wang and
Qian Yang and
Jikun Zhao and
Zhiming Gao Virtual element method for linear
elastic clamped plate model . . . . . . 1--16
Muhammet Enes Durmaz and
Ilhame Amirali and
Jugal Mohapatra and
Gabil M. Amiraliyev A second-order numerical approximation
of a singularly perturbed nonlinear
Fredholm integro-differential equation 17--28
M. -Y. Nour and
A. Lamnii and
A. Zidna and
D. Barrera Non-uniform UE-spline quasi-interpolants
and their application to the numerical
solution of integral equations . . . . . 29--44
R. Akbari and
G. Hojjati and
A. Abdi Algebraic stability and irreducibility
of second derivative methods . . . . . . 45--54
Stefano Di Giovacchino and
Carmela Scalone Numerical conservation issues for jump
Pearson diffusions . . . . . . . . . . . 55--61
Ziyue Hu and
Qiao-Li Dong A three-operator splitting algorithm
with deviations for generalized DC
programming . . . . . . . . . . . . . . 62--74
Anonymous Pages 1--472 (October 2023) . . . . . . 1--472
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Hamed Ould Sidi and
Mahmoud A. Zaky and
Wenlin Qiu and
Ahmed S. Hendy Identification of an unknown spatial
source function in a multidimensional
hyperbolic partial differential equation
with interior degeneracy . . . . . . . . 1--18
Anne Liu and
Thomas Trogdon An artificially-damped Fourier method
for dispersive evolution equations . . . 19--40
Xiaoliang Wang A class of spectral three-term descent
Hestenes--Stiefel conjugate gradient
algorithms for large-scale unconstrained
optimization and image restoration
problems . . . . . . . . . . . . . . . . 41--56
Luca Gemignani Efficient inversion of matrix $ \varphi
$-functions of low order . . . . . . . . 57--69
Eunjung Lee An $ L^2 $-finite element approximation
of the solution to div/curl-systems with
nonempty null space . . . . . . . . . . 70--83
Naresh Kumar and
Jogen Dutta and
Bhupen Deka $L$ $^2$ estimates for weak Galerkin
finite element methods for second-order
wave equations with polygonal meshes . . 84--103
Xuyang Wang and
Guang-an Zou and
Bo Wang A stabilized divergence-free virtual
element scheme for the nematic liquid
crystal flows . . . . . . . . . . . . . 104--131
Jiyong Li Uniformly accurate nested Picard
iterative schemes for nonlinear
Schrödinger equation with highly
oscillatory potential . . . . . . . . . 132--151
Shanshan Tong and
Wei Wang and
Chaofeng Dong A data-driven Kaczmarz iterative
regularization method with non-smooth
constraints for ill-posed problems . . . 152--178
D. Martínez and
F. Pla and
H. Herrero and
A. Fernández-Pérez A Schwarz alternating method for an
evolution convection problem . . . . . . 179--196
Zhong-Zhi Bai and
Lu Wang On multi-step randomized extended
Kaczmarz method for solving large sparse
inconsistent linear systems . . . . . . 197--213
Xiaodi Zhang and
Xiaonian Long Unconditional stability and error
analysis of an Euler IMEX-SAV scheme for
the micropolar Navier--Stokes equations 214--240
Nan Jiang and
Huanhuan Yang Unconditionally stable, second order,
decoupled ensemble schemes for computing
evolutionary Boussinesq equations . . . 241--260
Ramiro Acevedo and
Christian Gómez and
Bibiana López-Rodríguez and
Pilar Salgado Numerical analysis of a FEM based on a
time-primitive of the electric field for
solving a nonlinear transient eddy
current problem . . . . . . . . . . . . 261--279
El-Houssaine Quenjel and
Patrick Perré and
Ian Turner A $3$D face interpolated discretisation
method for simulating anisotropic
diffusive processes on meshes coming
from wood morphology . . . . . . . . . . 280--296
Matthias Chung and
Rosemary A. Renaut A variable projection method for
large-scale inverse problems with $ l^1
$ regularization . . . . . . . . . . . . 297--318
Simeon Reich and
Truong Minh Tuyen and
Nguyen Song Ha Variational inequalities over the
solution sets of split variational
inclusion problems . . . . . . . . . . . 319--336
Baohui Hou Meshless structure-preserving GRBF
collocation methods for stochastic
Maxwell equations with multiplicative
noise . . . . . . . . . . . . . . . . . 337--355
Jian Meng Virtual element method for the modified
transmission eigenvalue problem in
inverse scattering theory . . . . . . . 356--372
Vahid Mohammadi and
Mehdi Dehghan Error estimates of divergence-free
generalized moving least squares
(Div-Free GMLS) derivatives
approximations in Sobolev spaces . . . . 373--388
Michael Holst and
Martin Licht Geometric transformation of finite
element methods: Theory and applications 389--413
Meihui Zhang and
Jinhong Jia and
Ahmed S. Hendy and
Mahmoud A. Zaky and
Xiangcheng Zheng Fast numerical scheme for the
time-fractional option pricing model
with asset-price-dependent variable
order . . . . . . . . . . . . . . . . . 414--430
Nian Wang and
Jinfeng Wang and
Yang Liu and
Hong Li Local discontinuous Galerkin method for
a nonlocal viscous water wave model . . 431--453
Yahui Wang and
Cheng Guo Improved third-order WENO scheme with a
new reference smoothness indicator . . . 454--472
Anonymous Pages 1--262 (November 2023) . . . . . . 1--262
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Anas El Hachimi and
Khalide Jbilou and
Ahmed Ratnani and
Lothar Reichel Spectral computation with third-order
tensors using the $t$-product . . . . . 1--21
Ya Min and
Minfu Feng Stabilized mixed finite element method
for a quasistatic Maxwell viscoelastic
model . . . . . . . . . . . . . . . . . 22--42
Thomas Izgin and
Stefan Kopecz and
Angela Martiradonna and
Andreas Meister On the dynamics of first and second
order GeCo and gBBKS schemes . . . . . . 43--66
Yuanyuan Zha and
Zhe Li and
Lijun Yi Superconvergent postprocessing of the $
C^1 $-conforming finite element method
for fourth-order boundary value problems 67--82
Zhiqiang Cai and
Jing Yang An error estimate for finite element
approximation to elliptic PDEs with
discontinuous Dirichlet boundary data 83--92
G-Q. Yao and
X. Wen and
Z-Q. Wang An efficient Fourier--Laguerre
spectral-Galerkin method for exterior
problems of two-dimensional complex
obstacles . . . . . . . . . . . . . . . 93--108
Matthias Bolten and
Marco Donatelli and
Paola Ferrari and
Isabella Furci Symbol based convergence analysis in
block multigrid methods with
applications for Stokes problems . . . . 109--130
Minqiang Xu and
Kai Liu and
Lei Zhang Analysis of the MAC scheme for the three
dimensional Stokes problem . . . . . . . 131--147
Gabriel N. Gatica and
Cristian Inzunza and
Filánder A. Sequeira New Banach spaces-based fully-mixed
finite element methods for
pseudostress-assisted diffusion problems 148--178
Wanyou Cheng and
Zhuanghan LinPeng and
Donghui Li An inexact quasi-Newton algorithm for
large-scale $ l_1 $ optimization with
box constraints . . . . . . . . . . . . 179--195
Michelle Muniz and
Matthias Ehrhardt and
Michael Günther and
Renate Winkler Strong stochastic
Runge--Kutta--Munthe--Kaas methods for
nonlinear Itô SDEs on manifolds . . . . . 196--203
Xiaolin Li and
Shuling Li Effect of an efficient numerical
integration technique on the
element-free Galerkin method . . . . . . 204--225
Natalia Czyzewska and
Pawe\l M. Morkisz and
Pawe\l Przyby\lowicz Euler scheme for approximation of
solution of nonlinear ODEs under inexact
information . . . . . . . . . . . . . . 226--241
Lina Yin and
Yunqing Huang and
Qili Tang A generalized parametric iterative
finite element method for the 2D/3D
stationary incompressible
magnetohydrodynamics . . . . . . . . . . 242--261
Anonymous Pages 1--130 (December 2023) . . . . . . 1--130
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Wei Li and
Pengzhan Huang On a two-order temporal scheme for
Navier--Stokes/Navier--Stokes equations 1--17
Olaniyi S. Iyiola and
Yekini Shehu A fully adaptive method for variational
inequalities with quasi-monotonicity . . 18--43
Hossein Hosseinzadeh and
Ahmad Shirzadi A new meshless local integral equation
method . . . . . . . . . . . . . . . . . 44--58
Soraya Torkaman and
Mohammad Heydari An iterative Nyström-based method to
solve nonlinear Fredholm integral
equations of the second kind . . . . . . 59--81
Qingjie Hu and
Liping Zhu and
Cuili Chang and
Wenqi Zhang A truncated three-term conjugate
gradient method with complexity
guarantees with applications to
nonconvex regression problem . . . . . . 82--96
Zhongxiong Gao and
Hong Zhang and
Xu Qian and
Songhe Song High-order unconditionally
maximum-principle-preserving parametric
integrating factor Runge--Kutta schemes
for the nonlocal Allen--Cahn equation 97--114
Congpei An and
Mou Cai Lasso trigonometric polynomial
approximation for periodic function
recovery in equidistant points . . . . . 115--130
Anonymous Pages 1--156 (January 2024) . . . . . . 1--156
Anonymous Editorial Board . . . . . . . . . . . . ii--ii
Fengli Yin and
Yayun Fu Explicit high accuracy energy-preserving
Lie-group sine pseudo-spectral methods
for the coupled nonlinear Schrödinger
equation . . . . . . . . . . . . . . . . 1--16
Jianghua Yin and
Jinbao Jian and
Xianzhen Jiang and
Jiansheng Wu and
Guodong Ma A proximal fully parallel splitting
method with a relaxation factor for
separable convex programming . . . . . . 17--38
A. K. Mittal A space-time pseudospectral method for
solving multi-dimensional quasi-linear
parabolic partial differential
(Burgers') equations . . . . . . . . . . 39--53
Alexander Zlotnik and
Timofey Lomonosov On stability and error bounds of an
explicit in time higher-order vector
compact scheme for the multidimensional
wave and acoustic wave equations . . . . 54--74
M. Calvo and
J. I. Montijano and
L. Rández and
A. Saenz-de-la-Torre Explicit two-step peer methods with
reused stages . . . . . . . . . . . . . 75--88
H. Ait el bhira and
M. Kzaz and
F. Maach and
J. Zerouaoui Solving second-order telegraph equations
with high-frequency extrinsic
oscillations . . . . . . . . . . . . . . 89--104
Dandan Li and
Songhua Wang and
Yong Li and
Jiaqi Wu A projection-based hybrid PRP-DY type
conjugate gradient algorithm for
constrained nonlinear equations with
applications . . . . . . . . . . . . . . 105--125
Hanen Boujlida and
Kaouther Ismail and
Khaled Omrani A three level linearized compact
difference scheme for a fourth-order
reaction--diffusion equation . . . . . . 126--141
Yong Liu Accelerated greedy randomized augmented
Kaczmarz algorithm for inconsistent
linear systems . . . . . . . . . . . . . 142--156
Anonymous Pages 1--218 (February 2024) . . . . . . 1--218
Anonymous Editorial Board . . . . . . . . . . . . ii--ii
Sumit Saini and
Pratibhamoy Das and
Sunil Kumar Parameter uniform higher order numerical
treatment for singularly perturbed Robin
type parabolic reaction diffusion
multiple scale problems with large delay
in time . . . . . . . . . . . . . . . . 1--21
Zhen-Ping Yang and
Shuilian Xie and
Yong Zhao and
Gui-Hua Lin Variable sample-size operator
extrapolation algorithm for stochastic
mixed variational inequalities . . . . . 22--44
Jeremy Chouchoulis and
Jochen Schütz Jacobian-free implicit MDRK methods for
stiff systems of ODEs . . . . . . . . . 45--61
F. Guillén-González and
G. Tierra Energy-stable and boundedness preserving
numerical schemes for the Cahn--Hilliard
equation with degenerate mobility . . . 62--82
Reza MohammadiArani and
Mehdi Dehghan and
Mostafa Abbaszadeh Solving $2$D damped
Kuramoto--Sivashinsky with multiple
relaxation time lattice Boltzmann method 83--103
Xue-Feng Duan and
Yong-Shen Zhang and
Qing-Wen Wang An efficient iterative method for
solving a class of constrained tensor
least squares problem . . . . . . . . . 104--117
Arijit Das and
Prakrati Kushwah and
Jitraj Saha and
Mehakpreet Singh Improved higher-order finite volume
scheme and its convergence analysis for
collisional breakage equation . . . . . 118--132
Hui Yang and
Shengfeng Zhu Shape optimization of Stokes flows by a
penalty method . . . . . . . . . . . . . 133--158
Ralph Lteif An operator-splitting approach with a
hybrid finite volume/finite difference
scheme for extended Boussinesq models 159--182
A. F. Hegarty and
E. O'Riordan Fitted finite element methods for
singularly perturbed elliptic problems
of convection-diffusion type . . . . . . 183--198
Xuesong Wang and
Yao Cheng An improved pointwise error estimate of
the LDG method for $1$-d singularly
perturbed reaction--diffusion problem 199--217
Anonymous Pages 1--388 (March 2024) . . . . . . . 1--388
Anonymous Editorial Board . . . . . . . . . . . . ii--ii
Torsten Linß and
Christos Xenophontos An hp Weak Galerkin FEM for singularly
perturbed problems . . . . . . . . . . . 1--14
Wanying Mao and
Qifeng Zhang and
Dinghua Xu and
Yinghong Xu Double reduction order method based
conservative compact schemes for the
Rosenau equation . . . . . . . . . . . . 15--45
Shujiang Tang New simple local smoothness indicators
for fifth-order WENO schemes simulating
compressible flows . . . . . . . . . . . 46--70
A. Sreelakshmi and
V. P. Shyaman and
Ashish Awasthi An interwoven composite tailored finite
point method for two dimensional
unsteady Burgers' equation . . . . . . . 71--96
Ruifang Yan and
Wei Tong and
Guoxian Chen A well-balanced positivity-preserving
multidimensional central scheme for
shallow water equations . . . . . . . . 97--118
Longzhao Qi Numerical analysis of a second-order
energy-stable finite element method for
the Swift--Hohenberg equation . . . . . 119--142
Pawe\l Przyby\lowicz and
Yue Wu and
Xinheng Xie On approximation of solutions of
stochastic delay differential equations
via randomized Euler scheme . . . . . . 143--163
Aman Singh and
Eugene B. Postnikov and
Poonam Yadav and
Vineet Kumar Singh Weakly singular Volterra integral
equation with combined
logarithmic-power-law kernel: Analytical
and computational consideration . . . . 164--185
Minghao Li and
Zhenzhen Li Error estimates for the finite element
method of the
Navier--Stokes--Poisson--Nernst--Planck
equations . . . . . . . . . . . . . . . 186--209
Yue Zhang and
Xinlong Feng and
Haiyan Su Fully decoupled, linear and
unconditionally energy stable time
discretization scheme for solving the
unsteady thermally coupled
magnetohydrodynamic equations with
variable density . . . . . . . . . . . . 210--229
T. M. Dunster and
A. Gil and
J. Segura Computation of parabolic cylinder
functions having complex argument . . . 230--242
Arash Goligerdian and
Mahmood Khaksar-e Oshagh The numerical solution of a time-delay
model of population growth with
immigration using Legendre wavelets . . 243--257
Martino Lovisetto and
Didier Clamond and
Bruno Marcos Integrating factor techniques applied to
the Schrödinger-like equations.
Comparison with Split-Step methods . . . 258--271
Qian Liu and
Dongyang Shi Nonconforming mixed finite element
method for the diffuse interface model
of two-phase fluid flows . . . . . . . . 272--287
Lin Yao and
Yinhua Xia and
Yan Xu $L$-stable spectral deferred correction
methods and applications to phase field
models . . . . . . . . . . . . . . . . . 288--306
Shangyou Zhang and
Peng Zhu BDM $H$ (div) weak Galerkin finite
element methods for Stokes equations . . 307--321
Claudia Acosta and
Silvia Jerez High-order entropy stable schemes based
on a local adaptive WENO viscosity for
degenerate convection-diffusion
equations . . . . . . . . . . . . . . . 322--343
Guangyan Wang and
Tongke Wang Singular asymptotic expansion and
Legendre collocation method for two-term
weakly singular Volterra integral
equation of the second kind . . . . . . 344--362
Yuanhong Wei and
Guang-an Zou A splitting discontinuous Galerkin
projection method for the
magneto-hydrodynamic equations . . . . . 363--388
Anonymous Pages 1--508 (April 2024) . . . . . . . 1--508
Anonymous Editorial Board . . . . . . . . . . . . ii--ii
J. A. Ezquerro and
M. A. Hernández-Verón Location, separation and approximation
of solutions of nonlinear
Hammerstein-type integral equations . . 1--10
Alicia Cordero and
Neus Garrido and
Juan R. Torregrosa and
Paula Triguero-Navarro Modifying Kurchatov's method to find
multiple roots of nonlinear equations 11--21
Ankur and
Ram Jiwari A new error estimates of finite element
method for $ (2 + 1)$-dimensional
nonlinear advection--diffusion model . . 22--42
Anil Rathi and
Dipak Kumar Sahoo and
B. V. Rathish Kumar Variational multiscale stabilized finite
element analysis of transient MHD Stokes
equations with application to multiply
driven cavity flow . . . . . . . . . . . 43--74
Subhashree Patel and
Bijaya Laxmi Panigrahi Discrete Legendre spectral
projection-based methods for Tikhonov
regularization of first kind Fredholm
integral equations . . . . . . . . . . . 75--93
Mostafa Meliani and
Vanja Nikoli\'c Mixed approximation of nonlinear
acoustic equations: Well-posedness and a
priori error analysis . . . . . . . . . 94--111
Hassan Mohamed Abdelalim Abdalla and
Daniele Casagrande and
Wies\law Krajewski and
Umberto Viaro Loewner integer-order approximation of
MIMO fractional-order systems . . . . . 112--121
Jiansong Zhang and
Yun Yu and
Jiang Zhu and
Maosheng Jiang Hybrid mixed discontinuous Galerkin
finite element method for incompressible
miscible displacement problem . . . . . 122--137
M. Sharifi and
A. Abdi and
G. Hojjati On the construction of diagonally
implicit two-step peer methods with RK
stability . . . . . . . . . . . . . . . 138--147
Y. H. Youssri and
M. A. Zaky and
R. M. Hafez Romanovski--Jacobi spectral schemes for
high-order differential equations . . . 148--159
Eleonora Denich and
Paolo Novati Some notes on the trapezoidal rule for
Fourier type integrals . . . . . . . . . 160--175
Yuying Zhao and
Xiaojie Wang Weak approximation schemes for SDEs with
super-linearly growing coefficients . . 176--191
Binhu Xia and
Xiaojian Xi and
Rongrong Yu and
Peijun Zhang Unconditional energy-stable method for
the Swift--Hohenberg equation over
arbitrarily curved surfaces with
second-order accuracy . . . . . . . . . 192--201
Chafik Allouch Collocation and modified collocation
methods for solving second kind \em
Fredholm integral equations in weighted
spaces . . . . . . . . . . . . . . . . . 202--216
Shuai Su and
Jiming Wu A symmetric and coercive finite volume
scheme preserving the discrete maximum
principle for anisotropic diffusion
equations on star-shaped polygonal
meshes . . . . . . . . . . . . . . . . . 217--235
Manal Alotaibi and
Françoise Foucher and
Moustafa Ibrahim and
Mazen Saad Computational modeling of early-stage
breast cancer progression using TPFA
method: a numerical investigation . . . 236--257
Yiyi Tang and
Xuerong Mao The logarithmic truncated EM method with
weaker conditions . . . . . . . . . . . 258--275
Zhihui Zhao and
Hong Li and
Wei Gao A space-time Petrov--Galerkin method for
the two-dimensional regularized
long-wave equation . . . . . . . . . . . 276--294
Xue Wang and
Guoxian Chen A positivity-preserving well-balanced
wet-dry front reconstruction for shallow
water equations on rectangular grids . . 295--317
Yongshuai Wang and
Zhenjiang Peng and
Md. Abdullah Al Mahbub and
Haibiao Zheng Partitioned schemes for the blood solute
dynamics model by the variational
multiscale method . . . . . . . . . . . 318--345
E. Zampa and
S. Busto and
M. Dumbser A divergence-free hybrid finite volume /
finite element scheme for the
incompressible MHD equations based on
compatible finite element spaces with a
posteriori limiting . . . . . . . . . . 346--374
K. R. Arun and
Rahuldev Ghorai and
Mainak Kar An asymptotic preserving and energy
stable scheme for the Euler--Poisson
system in the quasineutral limit . . . . 375--400
Nguyen Thi Yen Ngoc and
Vo Anh Khoa An explicit Fourier--Klibanov method for
an age-dependent tumor growth model of
Gompertz type . . . . . . . . . . . . . 401--418
Yue Lu and
Zheng-Peng Dong and
Zhi-Qiang Hu and
Hong-Min Ma and
Dong-Yang Xue A penalty-type method for solving
inverse optimal value problem in
second-order conic programming . . . . . 419--427
Ali Ugur Sazaklioglu An iterative numerical method for an
inverse source problem for a
multidimensional nonlinear parabolic
equation . . . . . . . . . . . . . . . . 428--447
Guangqing Long and
Huanfeng Yang and
Dongsheng Cheng Fast multi-level iteration schemes with
compression technique for eigen-problems
of compact integral operators . . . . . 448--460
C. Clavero and
J. C. Jorge Efficient numerical methods for
semilinear one dimensional parabolic
singularly perturbed
convection--diffusion systems . . . . . 461--473
Akbar Shirilord and
Mehdi Dehghan Iterative method for constrained systems
of conjugate transpose matrix equations 474--507
Anonymous Editorial Board . . . . . . . . . . . . ii--ii
Thiab R. Taha Foreword . . . . . . . . . . . . . . . . 1--1
Dan-Andrei Geba Unconditional well-posedness for the
modified Kawahara equation . . . . . . . 2--25
Jacob S. Hofer and
Scott A. Strong Hasimoto transformation of general flows
expressed in the Frenet frame . . . . . 26--31
A. Alexandrou Himonas and
Fangchi Yan The Schrödinger--Korteweg-de Vries system
on the half-line . . . . . . . . . . . . 32--58
Olufemi Elijah Ige and
Henrik Kalisch Particle trajectories in a weakly
nonlinear long-wave model on a shear
flow . . . . . . . . . . . . . . . . . . 59--72
Baoping Liu and
Avy Soffer The large time asymptotic solutions of
nonlinear Schrödinger type equations . . 73--84
Emmanuel Lorin and
Xu Yang Computational wavefunction dynamics in
photonic graphene with symmetry breaking 85--104
Wen-Xiu Ma Type $ (\lambda^\ast, \lambda) $ reduced
nonlocal integrable AKNS equations and
their soliton solutions . . . . . . . . 105--113
Ronald Mickens and
Talitha Washington Construction and analysis of a discrete
heat equation using dynamic consistency:
the meso-scale limit . . . . . . . . . . 114--122
Patrik Nabelek and
Alexis Arlen and
Tanner Fromcke On periodic and finite genus solutions
to the integrable Kaup--Broer system for
capillary waves . . . . . . . . . . . . 123--135
Nobutaka Nakazono Consistency around a cube property of
Hirota's discrete KdV equation and the
lattice sine-Gordon equation . . . . . . 136--152
Anders M. Norevik and
Henrik Kalisch On the formulation of energy
conservation in the eeKdV equation . . . 153--164
Zhijun Qiao and
Enrique G. Reyes Fifth-order equations of Camassa--Holm
type and pseudo-peakons . . . . . . . . 165--176
Zefang Song and
Huafei Di Instability analysis and regularization
approximation to the forward/backward
problems for fractional damped wave
equations with random noise . . . . . . 177--212
Steven Walton and
Minh-Binh Tran and
Alain Bensoussan A deep learning approximation of
non-stationary solutions to wave kinetic
equations . . . . . . . . . . . . . . . 213--226
Sarah D. Wright and
James V. Lambers Numerical solution of an extra-wide
angle parabolic equation through
diagonalization of a 1-D indefinite
Schrödinger operator with a piecewise
constant potential . . . . . . . . . . . 227--247
Xingchang Wang and
Runzhang Xu and
Yanbing Yang Long-time behavior for fourth order
nonlinear wave equations with
dissipative and dispersive terms . . . . 248--265
Anonymous Editorial Board . . . . . . . . . . . . ii--ii
Maria Carmela De Bonis and
Concetta Laurita and
Incoronata Notarangelo and
Donatella Occorsio and
Maria Grazia Russo and
Yuesheng Xu Special issue on functional analysis,
approximation theory and numerical
analysis (FAATNA20$>$22) . . . . . . . . 1--1
Lidia Aceto and
Dajana Conte and
Giovanni Pagano On a generalization of time-accurate and
highly-stable explicit operators for
stiff problems . . . . . . . . . . . . . 2--17
A. Aimi and
G. Di Credico and
H. Gimperlein and
C. Guardasoni and
G. Speroni Weak imposition of boundary conditions
for the boundary element method in the
time domain . . . . . . . . . . . . . . 18--42
Stefano Aleotti and
Alessandro Buccini and
Marco Donatelli Fractional graph Laplacian for image
reconstruction . . . . . . . . . . . . . 43--57
Alessia And\`o and
Dimitri Breda Piecewise orthogonal collocation for
computing periodic solutions of coupled
delay equations . . . . . . . . . . . . 58--79
John A. D. Appleby and
Emmet Lawless Mean square asymptotic stability
characterisation of perturbed linear
stochastic functional differential
equations . . . . . . . . . . . . . . . 80--109
M. I. Berenguer and
M. Ruiz Galán Iterative schemes for linear equations
of the second kind and related inverse
problems . . . . . . . . . . . . . . . . 110--123
Dimitri Breda and
Davide Liessi and
Sjoerd M. Verduyn Lunel Spectra of evolution operators of a
class of neutral renewal equations:
Theoretical and numerical aspects . . . 124--137
Iulia Martina Bulai and
Martina Salvia Approximation of basins of attraction
for bistable dynamical system for olive
disease control . . . . . . . . . . . . 138--147
Dajana Conte and
Eslam Farsimadan and
Leila Moradi and
Francesco Palmieri and
Beatrice Paternoster Numerical solution of delay Volterra
functional integral equations with
variable bounds . . . . . . . . . . . . 148--161
Salvatore Cuomo and
Mariapia De Rosa and
Stefano Izzo and
Francesco Piccialli and
Monica Pragliola Speckle noise removal via learned
variational models . . . . . . . . . . . 162--178
Maria Carmela De Bonis and
Valeria Sagaria Numerical method for boundary value
problems on the real line . . . . . . . 179--194
Dusan Lj. Djuki\'c and
Rada M. Mutavdzi\'c Djuki\'c and
Lothar Reichel and
Miodrag M. Spalevi\'c Weighted averaged Gaussian quadrature
rules for modified Chebyshev measures 195--208
Katarina Doctor and
Tong Mao and
Hrushikesh Mhaskar Encoding of data sets and algorithms . . 209--235
Smahane El-Halouy and
Silvia Noschese and
Lothar Reichel A tensor formalism for multilayer
network centrality measures using the
Einstein product . . . . . . . . . . . . 236--253
Lidia Fernández and
Francisco Marcellán and
Teresa E. Pérez and
Miguel A. Piñar Sobolev orthogonal polynomials and
spectral methods in boundary value
problems . . . . . . . . . . . . . . . . 254--272
Antonella Falini and
Francesca Mazzia and
Alessandra Sestini Hermite--Birkhoff spline
Quasi-Interpolation with application as
dense output for Gauss--Legendre and
Gauss--Lobatto Runge--Kutta schemes . . 273--285
Massimo Frittelli and
Ivonne Sgura Matrix-oriented FEM formulation for
reaction-diffusion PDEs on a large class
of $2$D domains . . . . . . . . . . . . 286--308
Teresa Laudadio and
Nicola Mastronardi and
Donatella Occorsio Computing integrals with an exponential
weight on the real axis in floating
point arithmetic . . . . . . . . . . . . 309--317
Margus Lillemäe and
Arvet Pedas and
Mikk Vikerpuur Central part interpolation schemes for
fractional differential equations . . . 318--330
Kaido Lätt and
Arvet Pedas Numerical schemes for a class of
singular fractional integro-differential
equations . . . . . . . . . . . . . . . 331--343
Eleonora Messina and
Mario Pezzella and
Antonia Vecchio A long-time behavior preserving
numerical scheme for age-of-infection
epidemic models with heterogeneous
mixing . . . . . . . . . . . . . . . . . 344--357
Donatella Occorsio and
Maria Grazia Russo and
Woula Themistoclakis On solving some Cauchy singular integral
equations by de la Vallée Poussin
filtered approximation . . . . . . . . . 358--378
Giuseppina Settanni Potentiality of the HOFiD\_bvp code in
solving different kind of second order
boundary value problems . . . . . . . . 379--388
Alvise Sommariva and
Marco Vianello TetraFreeQ: Tetrahedra-free quadrature
on polyhedral elements . . . . . . . . . 389--398
Marija P. Stani\'c and
Tatjana V. Tomovi\'c Mladenovi\'c and
Aleksandar Ne. Jovanovi\'c Quadrature rules of Gaussian type for
trigonometric polynomials with
preassigned nodes . . . . . . . . . . . 399--408
Jelena Tomanovi\'c Incorporating the external zeros and
poles of the integrand into Gauss-type
quadrature rules . . . . . . . . . . . . 409--428
Marc Van Barel and
Niel Van Buggenhout and
Raf Vandebril Algorithms for modifying recurrence
relations of orthogonal polynomial and
rational functions when changing the
discrete inner product . . . . . . . . . 429--452
Elena Zampieri and
Luca F. Pavarino A numerical comparison of Galerkin and
Collocation Isogeometric approximations
of acoustic wave problems . . . . . . . 453--465