Last update:
Sat May 14 11:11:04 MDT 2005
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
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. Ii Overman 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
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
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 $sin \pi/2x^2$ 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
T. 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
G. Erlebacher and
M. Y. Hussaini Nonlinear evolution of a second-mode
wave in supersonic boundary layers . . . 73--91
M. G. Macaraeg and
C. 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
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
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
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
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. Wille 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
David Gottlieb and
Eli Turkel Dedication . . . . . . . . . . . . . . . 1--2
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 Harten 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. 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
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
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-Herve De Roeck Nonlinear elasticity solved by a domain
decomposition method on a hypercube . . 459--471
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
$hp$-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
Victor Eijkhout A library of distributed iterative
linear system solvers . . . . . . . . . 359--373
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 $Ax = b$ . . . . . . 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 $hp$-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 $hp$-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-$QZ$ 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 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
$hp$-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
John Gill Limit periodic iteration . . . . . . . . 297--308
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 A. Benazzouz, 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
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/Schroedinger
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 $hp$-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
$hp$-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 Szegö 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 . . . . . . . . . . . . .