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Fri Aug 13 08:32:06 MDT 2021
John C. Mason and
Charles A. Micchelli Editorial . . . . . . . . . . . . . . . i--i
Anonymous In memoriam John Gregory . . . . . . . . iii--iii
Wolfgang Dahmen and
Charles A. Micchelli Continuous refinement equations and
subdivision . . . . . . . . . . . . . . 1--37
P. J. van der Houwen Preconditioning in implicit
initial-value problem methods on
parallel computers . . . . . . . . . . . 39--60
H. N. Mhaskar Approximation properties of a
multilayered feedforward artificial
neural network . . . . . . . . . . . . . 61--80
Alan R. Champneys and
Alastair Spence Hunting for homoclinic orbits in
reversible systems: a shooting technique 81--108
T. N. T. Goodman and
S. L. Lee and
W. S. Tang Wavelet bases for a set of commuting
unitary operators . . . . . . . . . . . 109--126
Randolph E. Bank and
Craig C. Douglas Sparse matrix multiplication package
(SMMP) . . . . . . . . . . . . . . . . . 127--137
Phillip J. Barry and
Ronald N. Goldman and
Charles A. Micchelli Knot insertion algorithms for piecewise
polynomial spaces determined by
connection matrices . . . . . . . . . . 139--171
J. M. Carnicer and
J. M. Peña Shape preserving representations and
optimality of the Bernstein basis . . . 173--196
R. A. DeVore and
G. Kyriazis and
D. Leviatan and
V. M. Tikhomirov Wavelet compression and nonlinear
$n$-widths . . . . . . . . . . . . . . . 197--214
Daniel E. Gonsor Subdivision algorithms with nonnegative
masks generally converge . . . . . . . . 215--221
W. B. Liu and
John W. Barrett Error bounds for the finite element
approximation of a degenerate
quasilinear parabolic variational
inequality . . . . . . . . . . . . . . . 223--239
Lothar Reichel Construction of polynomials that are
orthogonal with respect to a discrete
bilinear form . . . . . . . . . . . . . 241--258
W. Dahmen and
S. Prössdorf and
R. Schneider Wavelet approximation methods for
pseudodifferential equations. II. Matrix
compression and fast solution . . . . . 259--335
K. A. Cliffe and
T. J. Garratt and
A. Spence Eigenvalues of the discretized
Navier--Stokes equation with application
to the detection of Hopf bifurcations 337--356
Jack Williams and
Z. Kalogiratou Least squares and Chebyshev fitting for
parameter estimation in ODEs . . . . . . 357--366
Christopher T. H. Baker and
Christopher A. H. Paul Parallel continuous Runge--Kutta methods
and vanishing lag delay differential
equations . . . . . . . . . . . . . . . 367--394
Phillip Barry Introduction . . . . . . . . . . . . . . ix--x
Chandrajit L. Bajaj and
Guo Liang Xu NURBS approximation of surface/surface
intersection curves . . . . . . . . . . 1--21
Guido Brunnett and
Peter E. Crouch Elastic curves on the sphere . . . . . . 23--40
Rida T. Farouki and
Takis Sakkalis Pythagorean-hodograph space curves . . . 41--66
Michael S. Floater A weak condition for the convexity of
tensor-product Bézier and B-spline
surfaces . . . . . . . . . . . . . . . . 67--80
Richard Franke and
Hans Hagen and
Gregory M. Nielson Least squares surface approximation to
scattered data using multiquadratic
functions . . . . . . . . . . . . . . . 81--99
M. Laghchim-Lahlou and
P. Sablonni\`ere Triangular finite elements of HCT type
and class $ C^\rho $ . . . . . . . . . . 101--122
Helmut Pottmann and
Michael G. Wagner Helix splines as an example of affine
Tchebycheffian splines . . . . . . . . . 123--142
Hartmut Prautzsch and
Leif Kobbelt Convergence of subdivision and degree
elevation . . . . . . . . . . . . . . . 143--154
Marco Marletta Numerical solution of eigenvalue
problems for Hamiltonian systems . . . . 155--184
Charles K. Chui and
Xian Liang Shi Continuous two-scale equations and
dyadic wavelets . . . . . . . . . . . . 185--213
Craig C. Douglas Some remarks on completely vectorizing
point Gauss--Seidel while using the
natural ordering . . . . . . . . . . . . 215--222
Ezio Venturino A lacunary interpolation algorithm on
arbitrary points . . . . . . . . . . . . 223--233
H. P. Dikshit and
A. Ojha and
R. A. Zalik Wachspress type rational complex planar
splines of degree $ (3, 1) $ . . . . . . 235--249
Allan J. MacLeod Table-based tests for Bessel function
software . . . . . . . . . . . . . . . . 251--260
Rudnei Dias da Cunha and
Tim Hopkins A parallel implementation of the
restarted GMRES iterative algorithm for
nonsymmetric systems of linear equations 261--277
Penny J. Davies and
Dugald B. Duncan Time-marching numerical schemes for the
electric field integral equation on a
straight thin wire . . . . . . . . . . . 279--317
Marc Prévost Acceleration property for the
$E$-algorithm and an application to the
summation of series . . . . . . . . . . 319--341
Xin Li Hankel operators and best Hankel
approximation on the half-plane . . . . 343--355
J. M. Bull and
T. L. Freeman Parallel globally adaptive quadrature on
the KSR-1 . . . . . . . . . . . . . . . 357--373
D. Zwick A planar minimax algorithm for analysis
of coordinate measurements . . . . . . . 375--391
G. A. Watson The solution of orthogonal Procrustes
problems for a family of orthogonally
invariant norms . . . . . . . . . . . . 393--405
E. H. Twizell and
A. Boutayeb and
K. Djidjeli Numerical methods for eighth-, tenth-
and twelfth-order eigenvalue problems
arising in thermal instability . . . . . 407--436
Zheng Xing Cheng and
Charles K. Chui Convexity of parametric Bézier surfaces
in terms of Gaussian curvature
signatures . . . . . . . . . . . . . . . 437--459
C. Brezinski and
M. Redivo-Zaglia A general extrapolation procedure
revisited . . . . . . . . . . . . . . . 461--477
Burkhard Lenze On local and global sigma--pi neural
networks. A common link . . . . . . . . 479--491
Gerlind Plonka Two-scale symbol and autocorrelation
symbol for B-splines with multiple knots 1--22
G. Ramaswami Perturbed collocation and symplectic RKN
methods . . . . . . . . . . . . . . . . 23--40
Victor Y. Pan An algebraic approach to approximate
evaluation of a polynomial on a set of
real points . . . . . . . . . . . . . . 41--58
P. Maroni An introduction to second degree forms 59--88
Guido Walz A unified approach to B-spline
recursions and knot insertion, with
application to new recursion formulas 89--100
Mohamed Farhloul and
Michel Fortin A mixed finite element for the Stokes
problem using quadrilateral elements . . 101--113
S. N. Chandler-Wilde and
J. Levesley and
D. M. Hough Evaluation of a boundary integral
representation for the conformal mapping
of the unit disk onto a simply-connected
domain . . . . . . . . . . . . . . . . . 115--135
Wayne Lawton and
S. L. Lee and
Zuowei Shen Characterization of compactly supported
refinable splines . . . . . . . . . . . 137--145
Helmut Pottmann Curve design with rational
Pythagorean-hodograph curves . . . . . . 147--170
C. T. H. Baker and
C. A. H. Paul and
D. R. Willé Issues in the numerical solution of
evolutionary delay differential
equations . . . . . . . . . . . . . . . 171--196
Sebastian Noelle Convergence of higher order finite
volume schemes on irregular grids . . . 197--218
Thomas Sauer Computational aspects of multivariate
polynomial interpolation . . . . . . . . 219--237
M. Gasca and
J. M. Peña On the characterization of almost
strictly totally positive matrices . . . 239--250
Robert Schaback Error estimates and condition numbers
for radial basis function interpolation 251--264
John W. Jones and
Bruno D. Welfert Zero-free regions for a rational
function with applications . . . . . . . 265--289
Kyrre Stròm B-splines with homogenized knots . . . . 291--308
Rong-Qing Jia Subdivision schemes in $ L_p $ spaces 309--341
George Hall A new stepsize strategy for explicit
Runge--Kutta codes . . . . . . . . . . . 343--352
K. Jetter and
J. Stöckler A generalization of de Boor's stability
result and symmetric preconditioning . . 353--367
C. T. Chong The polynomial topological complexity of
Fatou--Julia sets . . . . . . . . . . . 369--374
J. M. Carnicer and
T. N. T. Goodman and
J. M. Peña A generalization of the variation
diminishing property . . . . . . . . . . 375--394
J. M. Carnicer Multivariate convexity preserving
interpolation by smooth functions . . . 395--404
Per Erik Koch and
Tom Lyche and
Marian Neamtu and
Larry L. Schumaker Control curves and knot insertion for
trigonometric splines . . . . . . . . . 405--424
Anonymous The Guest Editor . . . . . . . . . . . . i--i
Wolfgang Dahmen Preface . . . . . . . . . . . . . . . . iii--iv
Fritz Keinert Numerical stability of biorthogonal
wavelet transforms . . . . . . . . . . . 1--26
S. Zeng and
C. Vuik and
P. Wesseling Numerical solution of the incompressible
Navier--Stokes equations by Krylov
subspace and multigrid methods . . . . . 27--49
Karsten Urban On divergence-free wavelets . . . . . . 51--81
P. W. Hemker Sparse-grid finite-volume multigrid for
$3$D-problems . . . . . . . . . . . . . 83--110
Susanne C. Brenner A two-level additive Schwarz
preconditioner for the stationary Stokes
equations . . . . . . . . . . . . . . . 111--126
B. Koren and
B. van Leer Analysis of preconditioning and
multigrid for Euler flows with
low-subsonic regions . . . . . . . . . . 127--144
Angela Kunoth Multilevel preconditioning --- Appending
boundary conditions by Lagrange
multipliers . . . . . . . . . . . . . . 145--170
M. Griebel and
P. Oswald Tensor product type subspace splittings
and multilevel iterative methods for
anisotropic problems . . . . . . . . . . 171--206
Thomas Sauer and
Yuan Xu On multivariate Hermite interpolation 207--259
Sônia M. Gomes Convergence estimates for the
wavelet-Galerkin method:
superconvergence at the node points . . 261--282
Zongmin Wu Compactly supported positive definite
radial functions . . . . . . . . . . . . 283--292
Frédérique Plantevin Wavelets on irregular meshes . . . . . . 293--329
Boris N. Khoromskij and
Siegfried Prössdorf Multilevel preconditioning on the
refined interface and optimal boundary
solvers for the Laplace equation . . . . 331--355
Gerlind Plonka and
Kathi Selig and
Manfred Tasche On the construction of wavelets on a
bounded interval . . . . . . . . . . . . 357--388
Holger Wendland Piecewise polynomial, positive definite
and compactly supported radial functions
of minimal degree . . . . . . . . . . . 389--396
I. J. Anderson and
S. K. Harbour Parallel factorization of banded linear
matrices using a systolic array
processor . . . . . . . . . . . . . . . 1--14
James H. Bramble and
Richard E. Ewing and
Joseph E. Pasciak and
Jian Shen The analysis of multigrid algorithms for
cell centered finite difference methods 15--29
María Leonor S. Varas Reconstruction of signals from
multiscale edges . . . . . . . . . . . . 31--49
Willi Freeden and
Ulrich Windheuser Spherical wavelet transform and its
discretization . . . . . . . . . . . . . 51--94
C. K. Chui and
J. Stöckler and
J. D. Ward Analytic wavelets generated by radial
functions . . . . . . . . . . . . . . . 95--123
P. W. Hemker Corrigendum: ``Sparse-grid finite-volume
multigrid for $3$D-problems''
[\booktitleAdv. Comput. Math. \bf 4
(1995), no. 1--2, 83--110; MR1338896
(96c:65193)] . . . . . . . . . . . . . . 125--126
Chunhui Chen and
O. L. Mangasarian Hybrid misclassification minimization 127--136
Manuela Nees Chebyshev approximation by discrete
superposition. Application to neural
networks . . . . . . . . . . . . . . . . 137--151
J. Lyle Noakes Networks and closed balls . . . . . . . 153--161
Burkhard Lenze Hyperbolic sigma--pi neural network
operators for compactly supported
continuous functions . . . . . . . . . . 163--172
R. A. DeVore and
V. N. Temlyakov Some remarks on greedy algorithms . . . 173--187
Yoshifusa Ito Nonlinearity creates linear independence 189--203
Sumio Watanabe Solvable models of layered neural
networks based on their differential
structure . . . . . . . . . . . . . . . 205--231
C. K. Chui and
Xin Li and
H. N. Mhaskar Limitations of the approximation
capabilities of neural networks with one
hidden layer . . . . . . . . . . . . . . 233--243
Eduardo D. Stonag Critical points for least-squares
problems involving certain analytic
functions, with applications to
sigmoidal nets . . . . . . . . . . . . . 245--268
Lars Kai Hansen and
Jan Larsen Linear unlearning for cross-validation 269--280
Francisco Marcellán and
Franz Peherstorfer and
Robert Steinbauer Orthogonality properties of linear
combinations of orthogonal polynomials 281--295
P. González-Vera and
J. C. Santos-León and
O. Njåstad Some results about numerical quadrature
on the unit circle . . . . . . . . . . . 297--328
R. M. Corless and
G. H. Gonnet and
D. E. G. Hare and
D. J. Jeffrey and
D. E. Knuth On the Lambert $W$ function . . . . . . 329--359
Michael S. Floater An analysis of cubic approximation
schemes for conic sections . . . . . . . 361--379
Manfred Sommer and
Hans Strauss A condition of Schoenberg--Whitney type
for multivariate spline interpolation 381--397
Michael S. Floater On zero curves of bivariate polynomials 399--415
Gudrun Albrecht and
Rida T. Farouki Construction of $ C^2 $
Pythagorean-hodograph interpolating
splines by the homotopy method . . . . . 417--442
P. Mortreux and
M. Prévost An acceleration property of the
$E$-algorithm for alternate sequences 443--482
E. H. Twizell Preface . . . . . . . . . . . . . . . . i--ii
Jack Howlett and
J. C. Newby Foreword . . . . . . . . . . . . . . . . iii--vi
Jack Howlett Foreword: John Crank . . . . . . . . . . vii--viii
J. C. Newby John Crank: his association with Brunel
University . . . . . . . . . . . . . . . ix--x
Jane Cullum Iterative methods for solving $ A x = b
$, GMRES/FOM versus QMR/BiCG . . . . . . 1--24
G. Meinardus and
G. Nürnberger and
G. Walz Bivariate segment approximation and
splines . . . . . . . . . . . . . . . . 25--45
Jose A. Cuminato Numerical solution of Cauchy-type
integral equations of index $ - 1 $ by
collocation methods . . . . . . . . . . 47--64
Miljenko Maru\vsi\'c and
Mladen Rogina A collocation method for singularly
perturbed two-point boundary value
problems with splines in tension . . . . 65--76
T. Tommasini Complexity reduction of least squares
problems involving special Vandermonde
matrices . . . . . . . . . . . . . . . . 77--86
Jörg Peters Interpolation regions for convex cubic
curve segments . . . . . . . . . . . . . 87--96
Joe Warren Barycentric coordinates for convex
polytopes . . . . . . . . . . . . . . . 97--108
James H. Bramble and
J. Thomas King A finite element method for interface
problems in domains with smooth
boundaries and interfaces . . . . . . . 109--138
William F. Ford and
Yuesheng Xu and
Yunhe Zhao Derivative corrections for quadrature
formulas . . . . . . . . . . . . . . . . 139--157
James H. Bramble and
Joseph E. Pasciak and
Andrew V. Knyazev A subspace preconditioning algorithm for
eigenvector/eigenvalue computation . . . 159--189
M. Laghchim-Lahlou and
P. Sablonni\`ere $ C^r $-finite elements of Powell--Sabin
type on the three direction mesh . . . . 191--206
J. Crank and
P. Nicolson A practical method for numerical
evaluation of solutions of partial
differential equations of the
heat-conduction type [reprint of
MR0019410 (8,409b)] . . . . . . . . . . 207--226
P. C. Chatwin and
D. M. Lewis and
N. Mole Atmospheric diffusion: some new
mathematical models . . . . . . . . . . 227--242
G. Fairweather and
J. C. López-Marcos Galerkin methods for a semilinear
parabolic problem with nonlocal boundary
conditions . . . . . . . . . . . . . . . 243--262
K. W. Morton and
N. A. Burgess The stability of boundary conditions for
an angled-derivative difference scheme 263--279
J. R. Ockendon The role of the Crank--Gupta model in
the theory of free and moving boundary
problems . . . . . . . . . . . . . . . . 281--293
K. A. Pericleous and
M. Cross and
G. Moran and
P. Chow and
K. S. Chan Free surface Navier--Stokes flows with
simultaneous heat transfer and
solidification/melting . . . . . . . . . 295--308
Simon Shaw and
J. R. Whiteman Towards adaptive finite element schemes
for partial differential Volterra
equation solvers . . . . . . . . . . . . 309--323
J. H. Song and
M. J. Edirisinghe and
J. R. G. Evans Mathematical modelling of binder removal
from plastically-formed engineering
ceramics . . . . . . . . . . . . . . . . 325--331
E. H. Twizell and
A. B. Gumel and
M. A. Arigu Second-order, $ L_0 $-stable methods for
the heat equation with time-dependent
boundary conditions . . . . . . . . . . 333--352
D. A. Voss and
A. Q. M. Khaliq Time-stepping algorithms for
semidiscretized linear parabolic PDEs
based on rational approximants with
distinct real poles . . . . . . . . . . 353--363
Kevin Burrage Parallel methods for ODEs . . . . . . . 1--3
Pierluigi Amodio and
Luigi Brugnano Parallel ODE solvers based on block BVMs 5--26
Claus Bendtsen A parallel stiff ODE solver based on
MIRKs . . . . . . . . . . . . . . . . . 27--36
K. Burrage and
H. Suhartanto Parallel iterated methods based on
multistep Runge--Kutta methods of Radau
type . . . . . . . . . . . . . . . . . . 37--57
K. Burrage and
H. Suhartanto Parallel iterated method based on
multistep Runge--Kutta of Radau type for
stiff problems . . . . . . . . . . . . . 59--77
J. C. Butcher Order and stability of parallel methods
for stiff problems . . . . . . . . . . . 79--96
Robert F. Enenkel and
Kenneth R. Jackson DIMSEMs-diagonally implicit
single-eigenvalue methods for the
numerical solution of stiff ODEs on
parallel computers . . . . . . . . . . . 97--133
Min Hu and
Ken Jackson and
Jan Janssen and
Stefan Vandewalle Remarks on the optimal convolution
kernel for CSOR waveform relaxation . . 135--156
P. J. van der Houwen and
J. J. B. de Swart Parallel linear system solvers for
Runge--Kutta methods . . . . . . . . . . 157--181
P. J. van der Houwen and
W. A. van der Veen Waveform relaxation methods for implicit
differential equations . . . . . . . . . 183--197
Zhongying Chen and
Charles A. Micchelli and
Yuesheng Xu The Petrov--Galerkin method for second
kind integral equations. II.
Multiwavelet schemes . . . . . . . . . . 199--233
L. Pouly and
J. Pousin Adaptive finite element for semi-linear
convection--diffusion problems . . . . . 235--259
Geng Yang and
Michel C. Delfour and
Michel Fortin Error analysis of mixed finite elements
for cylindrical shells . . . . . . . . . 261--277
P. R. Graves-Morris and
B. Beckermann The compass (star) identity for
vector-valued rational interpolants . . 279--294
Mihail Konstantinov and
Vera Angelova Sensitivity analysis of the differential
matrix Riccati equation based on the
associated linear differential system 295--301
Monika Wierse A new theoretically motivated higher
order upwind scheme on unstructured
grids of simplices . . . . . . . . . . . 303--335
Douglas N. Arnold and
Xiaobo Liu Interior estimates for a low order
finite element method for the
Reissner--Mindlin plate model . . . . . 337--360
M. Calvo and
D. J. Higham and
J. I. Montijano and
L. Rández Stepsize selection for tolerance
proportionality in explicit Runge--Kutta
codes . . . . . . . . . . . . . . . . . 361--382
Qingtang Jiang and
S. L. Lee Spectral properties of matrix continuous
refinement operators . . . . . . . . . . 383--399
Francisco Marcellán and
Franz Peherstorfer and
Robert Steinbauer Orthogonality properties of linear
combinations of orthogonal polynomials.
II . . . . . . . . . . . . . . . . . . . 401--428
Tim N. T. Goodman and
Charles A. Micchelli and
Giuseppe Rodriguez and
Sebastiano Seatzu Spectral factorization of Laurent
polynomials . . . . . . . . . . . . . . 429--454
C. A. Micchelli and
Thomas Sauer Regularity of multiwavelets . . . . . . 455--545
Y. Jeon and
I. H. Sloan and
E. P. Stephan and
J. Elschner Discrete qualocation methods for
logarithmic-kernel integral equations on
a piecewise smooth boundary . . . . . . 547--571
R. Hauber Numerical treatment of retarded
differential--algebraic equations by
collocation methods . . . . . . . . . . 573--592
Przemys\law Bogacki and
Stanley Weinstein and
Yuesheng Xu Distances between oriented curves in
geometric modeling . . . . . . . . . . . 593--621
Charles K. Chui and
Xianliang Shi and
Joachim Stöckler Affine frames, quasi-affine frames, and
their duals . . . . . . . . . . . . . . 1--17
C. Dagnino and
P. Lamberti Numerical integration of $2$-D integrals
based on local bivariate $ C^1$
quasi-interpolating splines . . . . . . 19--31
Thilo Penzl Numerical solution of generalized
Lyapunov equations . . . . . . . . . . . 33--48
Even Mehlum and
Christian Tarrou Invariant smoothness measures for
surfaces . . . . . . . . . . . . . . . . 49--63
Ben-yu Guo and
Yuan-ming Wang An almost monotone approximation for a
nonlinear two-point boundary value
problem . . . . . . . . . . . . . . . . 65--96
Tadeusz J. Janik Parallel implementation of the
$p$-version of the finite element method
for elliptic equations on a
shared-memory architecture . . . . . . . 97--110
Boris N. Khoromskij and
Siegfried Prössdorf Fast computations with the harmonic
Poincaré--Steklov operators on nested
refined meshes . . . . . . . . . . . . . 111--135
F. J. Narcowich and
N. Sivakumar and
J. D. Ward Stability results for scattered-data
interpolation on Euclidean spheres . . . 137--163
Lyle Noakes Nonlinear corner-cutting . . . . . . . . 165--177
J. Liandrat and
Ph. Tchamitchian On the fast approximation of some
nonlinear operators in nonregular
wavelet spaces . . . . . . . . . . . . . 179--192
D. E. Roberts On a vector $q$--$d$ algorithm . . . . . 193--219
Bin Han Symmetric orthonormal scaling functions
and wavelets with dilation factor $4$ 221--247
V. N. Temlyakov The best $m$-term approximation and
greedy algorithms . . . . . . . . . . . 249--265
A. Salam Formal vector orthogonal polynomials . . 267--289
Marie-Laurence Mazure Vandermonde type determinants and
blossoming . . . . . . . . . . . . . . . 291--315
F. Diele and
L. Lopez and
R. Peluso The Cayley transform in the numerical
solution of unitary differential systems 317--334
David R. Willé Experiments in stepsize control for
Adams linear multistep methods . . . . . 335--344
Bert Jüttler The dual basis functions for the
Bernstein polynomials . . . . . . . . . 345--352
Mohammed Laghchim-Lahlou The $ C^r $-fundamental splines of
Clough--Tocher and Powell--Sabin types
for Lagrange interpolation on a three
direction mesh . . . . . . . . . . . . . 353--366
Yuan Xu Minimal cubature formulae for a family
of radial weight functions . . . . . . . 367--380
Carsten Franke and
Robert Schaback Convergence order estimates of meshless
collocation methods using radial basis
functions . . . . . . . . . . . . . . . 381--399
Kendall Atkinson and
Yuesheng Xu Introduction . . . . . . . . . . . . . . 0--0
Eugene L. Allgower and
Kurt Georg Numerical exploitation of symmetry in
integral equations . . . . . . . . . . . 1--20
Davis K. Cope Recursive generation of the
Galerkin--Chebyshev matrix for
convolution kernels . . . . . . . . . . 21--35
Allan G. Dallas and
G. C. Hsiao and
R. E. Kleinman Observations on the numerical stability
of the Galerkin method . . . . . . . . . 37--67
Graeme Fairweather and
Andreas Karageorghis The method of fundamental solutions for
elliptic boundary value problems . . . . 69--95
Youngmok Jeon New boundary element formulas for the
biharmonic equation . . . . . . . . . . 97--115
Qun Lin and
Shuhua Zhang and
Ningning Yan An acceleration method for integral
equations by using interpolation
post-processing . . . . . . . . . . . . 117--129
Patrick Mund and
Ernst P. Stephan The preconditioned GMRES method for
systems of coupled FEM--BEM equations 131--144
Siegfried Prössdorf and
Jörg Schult Multiwavelet approximation methods for
pseudodifferential equations on curves.
Stability and convergence analysis . . . 145--171
Ulrich Rüde and
Aihui Zhou Multi-parameter extrapolation methods
for boundary integral equations . . . . 173--190
O. Steinbach and
W. L. Wendland The construction of some efficient
preconditioners in the boundary element
method . . . . . . . . . . . . . . . . . 191--216
Johannes Tausch and
Jacob White Second-kind integral formulations of the
capacitance problem . . . . . . . . . . 217--232
Thanh Tran and
Ernst P. Stephan and
Stefan Zaprianov Wavelet-based preconditioners for
boundary integral equations . . . . . . 233--249
Ming-Jun Lai and
Larry L. Schumaker On the approximation power of bivariate
splines . . . . . . . . . . . . . . . . 251--279
M. J. Hagger Automatic domain decomposition on
unstructured grids (DOUG) . . . . . . . 281--310
Gero Nießen An explicit norm representation for the
analysis of multilevel methods . . . . . 311--335
Gabriele Steidl A note on Fast Fourier Transforms for
nonequispaced grids . . . . . . . . . . 337--352
Michael S. Floater and
J. M. Peña Tensor-product monotonicity preservation 353--362
Hideaki Kaneko and
Richard D. Noren and
Peter A. Padilla Singularity preserving Galerkin method
for Hammerstein equations with
logarithmic kernel . . . . . . . . . . . 363--376
Hartmut Prautzsch Smoothness of subdivision surfaces at
extraordinary points . . . . . . . . . . 377--389
S. M. Kirkup Fortran codes for computing the discrete
Helmholtz integral operators . . . . . . 391--409
Gregory E. Fasshauer and
Joseph W. Jerome Multistep approximation algorithms:
improved convergence rates through
postconditioning with smoothing kernels 1--27
Annie Cuyt and
Kathy Driver and
Jieqing Tan and
Brigitte Verdonk Exploring multivariate Padé approximants
for multiple hypergeometric series . . . 29--49
Partha Niyogi and
Federico Girosi Generalization bounds for function
approximation from scattered noisy data 51--80
Gregory E. Fasshauer Hermite interpolation with radial basis
functions on spheres . . . . . . . . . . 81--96
James J. Carrig, Jr. and
Gerard G. L. Meyer A parameterized ordering for cache-,
register- and pipeline-efficient Givens
$ Q R $ decomposition . . . . . . . . . 97--113
Nguyen Huu Cong and
Karl Strehmel and
Rüdiger Weiner and
Helmut Podhaisky Runge--Kutta--Nyström-type parallel block
predictor--corrector methods . . . . . . 115--133
P. H. Muir Optimal discrete and continuous
mono-implicit Runge--Kutta schemes for
BVODEs . . . . . . . . . . . . . . . . . 135--167
Zhong-Zhi Bai A class of modified block SSOR
preconditioners for symmetric positive
definite systems of linear equations . . 169--186
J. C. Mason and
E. Venturino A Chebyshev polynomial method for line
integrals with singularities . . . . . . 187--208
Hartmut Prautzsch and
Ulrich Reif Degree estimates for $ C^k $-piecewise
polynomial subdivision surfaces . . . . 209--217
Marie-Laurence Mazure Chebyshev spaces with polynomial
blossoms . . . . . . . . . . . . . . . . 219--238
Karim Drouiche and
Djalil Kateb and
Daniel Boichu Daubechies--Matzinger wavelets and
Lorentz polynomials . . . . . . . . . . 239--260
Zuhua Luo Strictly positive definiteness of
Hermite interpolation on spheres . . . . 261--270
Koen Engelborghs and
Dirk Roose Numerical computation of stability and
detection of Hopf bifurcations of steady
state solutions of delay differential
equations . . . . . . . . . . . . . . . 271--289
G. D. Koras and
P. D. Kaklis Convexity conditions for parametric
tensor-product B-spline surfaces . . . . 291--309
Tjavdar Ivanov and
Vladimir Maz'ya and
Gunther Schmidt Boundary layer approximate
approximations and cubature of
potentials in domains . . . . . . . . . 311--342
Serge Dubuc and
Jean-Louis Merrien Dyadic Hermite interpolation on a
rectangular mesh . . . . . . . . . . . . 343--365
Ghislain Franssens A new non-polynomial univariate
interpolation formula of Hermite type 367--388
Bernd Silbermann Tribute to Professor Dr. rer. nat.
habil. Siegfried Prössdorf
02.01.1939---19.07.1998 . . . . . . . . i--ii
Tim N. T. Goodman and
Thomas P. Y. Yu Interpolation of medians . . . . . . . . 1--10
D. Calvetti and
L. Reichel On an inverse eigenproblem for Jacobi
matrices . . . . . . . . . . . . . . . . 11--20
Stefan Becuwe and
Annie Cuyt On the Froissart phenomenon in
multivariate homogeneous Padé
approximation . . . . . . . . . . . . . 21--40
David Levin Using Laurent polynomial representation
for the analysis of non-uniform binary
subdivision schemes . . . . . . . . . . 41--54
Ünal Gökta\cs and
Willy Hereman Algorithmic computation of generalized
symmetries of nonlinear evolution and
lattice equations . . . . . . . . . . . 55--80
Hui Ji and
Zuowei Shen Compactly supported (bi)orthogonal
wavelets generated by interpolatory
refinable functions . . . . . . . . . . 81--104
Martin Buhmann Foreword . . . . . . . . . . . . . . . . i--i
John C. Mason and
Charles A. Micchelli The Current Editor . . . . . . . . . . . i--i
Xingping Sun and
V. A. Menegatto Strictly positive definite functions on
the complex Hilbert sphere . . . . . . . 105--119
H. N. Mhaskar and
F. J. Narcowich and
J. D. Ward Approximation properties of zonal
function networks using scattered data
on the sphere . . . . . . . . . . . . . 121--137
Gregory E. Fasshauer Solving differential equations with
radial basis functions: multilevel
methods and smoothing . . . . . . . . . 139--159
Jeremy Levesley and
Will Light Direct form seminorms arising in the
theory of interpolation by translates of
a basis function . . . . . . . . . . . . 161--182
A. C. Faul and
M. J. D. Powell Proof of convergence of an iterative
technique for thin plate spline
interpolation in two dimensions . . . . 183--192
Shmuel Rippa An algorithm for selecting a good value
for the parameter $c$ in radial basis
function interpolation . . . . . . . . . 193--210
Cedric A. Zala and
Ian Barrodale Warping aerial photographs to orthomaps
using thin plate splines . . . . . . . . 211--227
S. D. Riemenschneider and
N. Sivakumar Gaussian radial-basis functions:
cardinal interpolation of $ l^p $ and
power-growth data . . . . . . . . . . . 229--251
R. K. Beatson and
J. B. Cherrie and
C. T. Mouat Fast fitting of radial basis functions:
methods based on preconditioned GMRES
iteration . . . . . . . . . . . . . . . 253--270
W. McLean and
O. Steinbach Boundary element preconditioners for a
hypersingular integral equation on an
interval . . . . . . . . . . . . . . . . 271--286
A. Bouhamidi and
A. Le Méhauté Multivariate interpolating $ (m, l, s)
$-splines . . . . . . . . . . . . . . . 287--314
Yunkang Liu Runge--Kutta-collocation methods for
systems of functional-differential and
functional equations . . . . . . . . . . 315--329
Paolo Costantini and
Boris I. Kvasov and
Carla Manni On discrete hyperbolic tension splines 331--354
Han-Lin Chen and
Si-Long Peng A quasi-wavelet algorithm for second
kind boundary integral equations . . . . 355--375
Erich Novak High dimensional integration . . . . . . 1--2
Leszek Plaskota The exponent of discrepancy of sparse
grids is at least $ 2.1933 $ . . . . . . 3--24
F. J. Hickernell and
H. Wo\'zniakowski Integration and approximation in
arbitrary dimensions . . . . . . . . . . 25--58
Muni V. Reddy and
Stephen Joe An average discrepancy for optimal
vertex-modified number-theoretic rules 59--69
Knut Petras On the Smolyak cubature error for
analytic functions . . . . . . . . . . . 71--93
H. N. Mhaskar and
J. Prestin On the detection of singularities of a
periodic function . . . . . . . . . . . 95--131
Serena Morigi and
Marian Neamtu Some results for a class of generalized
polynomials . . . . . . . . . . . . . . 133--149
Kendall Atkinson and
David Da-Kwun Chien A fast matrix--vector multiplication
method for solving the radiosity
equation . . . . . . . . . . . . . . . . 151--174
Michael S. Floater and
Tom Lyche Asymptotic convergence of degree-raising 175--187
Qingtang Jiang Parameterization of $m$-channel
orthogonal multifilter banks . . . . . . 189--211
V. N. Temlyakov Weak greedy algorithms . . . . . . . . . 213--227
P. J. van der Houwen and
B. P. Sommeijer Diagonally implicit Runge--Kutta methods
for $3$D shallow water applications . . 229--250
Bryan P. Rynne Convergence of Galerkin method solutions
of the integral equation for thin wire
antennas . . . . . . . . . . . . . . . . 251--259
Yongdeok Kim and
Sungyun Lee Modified Mini finite element for the
Stokes problem in $ {\bf R}^2 $ or $
{\bf R}^3 $ . . . . . . . . . . . . . . 261--272
Anonymous Preface . . . . . . . . . . . . . . . . i--ii
Volker Barthelmann and
Erich Novak and
Klaus Ritter High dimensional polynomial
interpolation on sparse grids . . . . . 273--288
Carl de Boor Computational aspects of multivariate
polynomial interpolation: indexing the
coefficients . . . . . . . . . . . . . . 289--301
Hakop A. Hakopian On a class of Hermite interpolation
problems . . . . . . . . . . . . . . . . 303--309
A. Le Méhauté On some aspects of multivariate
polynomial interpolation . . . . . . . . 311--333
H. Michael Möller and
Thomas Sauer $H$-bases for polynomial interpolation
and system solving . . . . . . . . . . . 335--362
Yuan Xu Polynomial interpolation in several
variables, cubature formulae, and ideals 363--376
Mariano Gasca and
Thomas Sauer Polynomial interpolation in several
variables . . . . . . . . . . . . . . . 377--410
Theodoros Evgeniou and
Massimiliano Pontil and
Tomaso Poggio Regularization Networks and Support
Vector Machines . . . . . . . . . . . . 1--50
I. Ben Salah and
P. Maroni The connection between self-associated
two-dimensional vector functionals and
third degree forms . . . . . . . . . . . 51--77
V. E. Maiorov and
R. Meir On the near optimality of the stochastic
approximation of smooth functions by
neural networks . . . . . . . . . . . . 79--103
Sven Ehrich On the estimation of wavelet
coefficients . . . . . . . . . . . . . . 105--129
Di-Rong Chen and
Bin Han and
Sherman D. Riemenschneider Construction of multivariate
biorthogonal wavelets with arbitrary
vanishing moments . . . . . . . . . . . 131--165
Lutz Angermann Error analysis of upwind-discretizations
for the steady-state incompressible
Navier--Stokes equations . . . . . . . . 167--198
Rida T. Farouki and
Hwan Pyo Moon and
Bahram Ravani Algorithms for Minkowski products and
implicitly-defined complex sets . . . . 199--229
Lucas Jódar and
Marco Marletta Solving ODEs arising from
non-selfadjoint Hamiltonian
eigenproblems . . . . . . . . . . . . . 231--256
K. Burrage and
H. Suhartanto Parallel iterated methods based on
variable step-size multistep
Runge--Kutta methods of Radau type for
stiff problems . . . . . . . . . . . . . 257--270
J. Lorente-Pardo and
P. Sablonni\`ere and
M. C. Serrano-Pérez On the convexity of $ C^1 $ surfaces
associated with some quadrilateral
finite elements . . . . . . . . . . . . 271--292
E. Venturino and
G. A. Chandler Calculation of line integrals in
boundary integral methods . . . . . . . 293--318
Say Song Goh and
Chee Heng Yeo Uncertainty products of local periodic
wavelets . . . . . . . . . . . . . . . . 319--333
Martin Burger and
Heinz W. Engl Training neural networks with noisy data
as an ill-posed problem . . . . . . . . 335--354
Oleg Davydov and
Larry L. Schumaker Locally linearly independent bases for
bivariate polynomial spline spaces . . . 355--373
Xiu Ye Stabilized finite element approximations
for the Reissner--Mindlin plate . . . . 375--386
H. N. Mhaskar and
F. J. Narcowich and
J. Prestin and
J. D. Ward Polynomial frames on the sphere . . . . 387--403
Z. Jackiewicz and
A. Marthinsen and
B. Owren Construction of Runge--Kutta methods of
Crouch--Grossman type of high order . . 405--415
Anonymous Author index . . . . . . . . . . . . . . 417--418
Anonymous Publisher's Announcement . . . . . . . . 1--6
Mari Paz Calvo and
Arieh Iserles and
Antonella Zanna Semi-explicit methods for isospectral
flows . . . . . . . . . . . . . . . . . 1--24
Frans Kuijt and
Ruud van Damme A linear approach to shape preserving
spline approximation . . . . . . . . . . 25--48
Andreas Meister and
Christof Vömel Efficient preconditioning of linear
systems arising from the discretization
of hyperbolic conservation laws . . . . 49--73
Víctor Domínguez and
Francisco-Javier Sayas Full asymptotics of spline
Petrov--Galerkin methods for some
periodic pseudodifferential equations 75--101
P. Costantini and
T. N. T. Goodman and
C. Manni Constructing $ C^3 $ shape preserving
interpolating space curves . . . . . . . 103--127
Marie-Laurence Mazure Chebyshev splines beyond total
positivity . . . . . . . . . . . . . . . 129--156
Ulrich Reif and
Peter Schröder Curvature integrability of subdivision
surfaces . . . . . . . . . . . . . . . . 157--174
Liu Du and
Ningning Yan Gradient recovery type a posteriori
error estimate for finite element
approximation on non-uniform meshes . . 175--193
Robert S. Womersley and
Ian H. Sloan How good can polynomial interpolation on
the sphere be? . . . . . . . . . . . . . 195--226
Guo Ben-yu and
Wang Li-lian Jacobi interpolation approximations and
their applications to singular
differential equations . . . . . . . . . 227--276
V. N. Temlyakov Greedy algorithms in Banach spaces . . . 277--292
Jinchao Xu and
Aihui Zhou Local and parallel finite element
algorithms based on two-grid
discretizations for nonlinear problems 293--327
Jungho Yoon Computational aspects of approximation
to scattered data by using ``shifted''
thin-plate splines . . . . . . . . . . . 329--359
R. Gribonval and
M. Nielsen Approximate Weak Greedy Algorithms . . . 361--378
Geoff Boyd and
Charles A. Micchelli and
Gilbert Strang and
Ding-Xuan Zhou Binomial Matrices . . . . . . . . . . . 379--391
Anonymous Author index . . . . . . . . . . . . . . 393--394
Anonymous A Posteriori Error Estimation and
Adaptive Computational Methods . . . . . 1--2
Mark Ainsworth and
Donald W. Kelly \em A posteriori error estimators and
adaptivity for finite element
approximation of the non-homogeneous
Dirichlet problem . . . . . . . . . . . 3--23
Ana Alonso and
Anahí Dello Russo and
Claudio Padra and
Rodolfo Rodríguez \em A posteriori error estimates and a
local refinement strategy for a finite
element method to solve
structural-acoustic vibration problems 25--59
Jan Brandts The Cauchy--Riemann equations:
discretization by finite elements, fast
solution of the second variable, and a
posteriori error estimation . . . . . . 61--77
Carsten Carstensen and
Sören Bartels and
Roland Klose An experimental survey of a posteriori
Courant finite element error control for
the Poisson equation . . . . . . . . . . 79--106
Vincent Heuveline and
Rolf Rannacher \em A posteriori error control for
finite element approximations of
elliptic eigenvalue problems . . . . . . 107--138
M. Holst Adaptive numerical treatment of elliptic
systems on manifolds . . . . . . . . . . 139--191
Tong Kang and
Dehao Yu Some a posteriori error estimates of the
finite-difference streamline--diffusion
method for convection-dominated
diffusion equations . . . . . . . . . . 193--218
Michal K\vrí\vzek and
Jan N\vemec and
Tomá\vs Vejchodský \em A posteriori error estimates for
axisymmetric and nonlinear problems . . 219--236
Gerd Kunert Robust a posteriori error estimation
for a singularly perturbed
reaction--diffusion equation on
anisotropic tetrahedral meshes . . . . . 237--259
Wenbin Liu and
Heping Ma and
Tao Tang On mixed error estimates for elliptic
obstacle problems . . . . . . . . . . . 261--283
Wenbin Liu and
Ningning Yan \em A posteriori error estimates for
distributed convex optimal control
problems . . . . . . . . . . . . . . . . 285--309
J. M. Melenk and
B. I. Wohlmuth On residual-based a posteriori error
estimation in $ h p $--FEM . . . . . . . 311--331
Ningning Yan \em A posteriori error estimators of
gradient recovery type for elliptic
obstacle problems . . . . . . . . . . . 333--361
Zhimin Zhang \em A posteriori error estimates on
irregular grids based on gradient
recovery . . . . . . . . . . . . . . . . 363--374
L. Zhang and
T. Strouboulis and
I. Babu\vska \em A posteriori estimators for the FEM:
analysis of the robustness of the
estimators for the Poisson equation . . 375--392
L. Zhang and
T. Strouboulis and
I. Babu\vska $ \eta \% $-superconvergence of finite
element solutions and error estimators 393--404
Zhongying Chen and
Charles A. Micchelli and
Yuesheng Xu Discrete wavelet Petrov--Galerkin
methods . . . . . . . . . . . . . . . . 1--28
Peter Alfeld and
Larry L. Schumaker Smooth macro-elements based on
Powell--Sabin triangle splits . . . . . 29--46
Martin Petzoldt \em A posteriori error estimators for
elliptic equations with discontinuous
coefficients . . . . . . . . . . . . . . 47--75
Cheng-long Xu and
Ben-yu Guo Mixed Laguerre--Legendre spectral method
for incompressible flow in an infinite
strip . . . . . . . . . . . . . . . . . 77--96
Anonymous Modeling and Computation in Optics and
Electromagnetics . . . . . . . . . . . . 97--98
Habib Ammari and
Gang Bao Maxwell's equations in a perturbed
periodic structure . . . . . . . . . . . 99--112
Anne-Sophie Bonnet-Bendhia and
Karim Ramdani Diffraction by an acoustic grating
perturbed by a bounded obstacle . . . . 113--138
Johannes Elschner and
Rainer Hinder and
Gunther Schmidt Finite element solution of conical
diffraction problems . . . . . . . . . . 139--156
Wei Cai Algorithmic issues for electromagnetic
scattering in layered media: Green's
functions, current basis, and fast
solver . . . . . . . . . . . . . . . . . 157--174
Yu Chen A fast, direct algorithm for the
Lippmann--Schwinger integral equation in
two dimensions . . . . . . . . . . . . . 175--190
Charles A. Macon and
Leo C. Kempel and
Stephen W. Schneider Radiation and scattering by complex
conformal antennas on a circular
cylinder . . . . . . . . . . . . . . . . 191--209
Tri Van and
Aihua Wood Analysis of time-domain Maxwell's
equations for $3$-D cavities . . . . . . 211--228
A. Bermúdez and
D. Gómez Pedreira and
P. Joly A hybrid approach for the computation of
guided modes in integrated optics . . . 229--261
P. Kuchment and
L. Kunyansky Differential operators on graphs and
photonic crystals . . . . . . . . . . . 263--290
Zhongying Chen and
Ronghua Li and
Aihui Zhou A note on the optimal $ L^2 $-estimate
of the finite volume element method . . 291--303
Sergio Albeverio and
Lan-Jun Lao and
Xue-Lei Zhao A continuous time financial market with
a Poisson process as transaction timer 305--330
S. Börm and
R. Hiptmair Multigrid computation of axisymmetric
electromagnetic fields . . . . . . . . . 331--356
R. G. Baraniuk and
R. A. DeVore and
G. Kyriazis and
X. M. Yu Near Best Tree Approximation . . . . . . 357--373
Mira Bozzini and
Licia Lenarduzzi and
Robert Schaback Adaptive Interpolation by Scaled
Multiquadrics . . . . . . . . . . . . . 375--387
Anonymous Author Index . . . . . . . . . . . . . . 389--390
Anonymous Preface; Advances in Geometrical
Algorithms and Representations . . . . . 1--3
Hyeong In Choi and
Doo Seok Lee and
Hwan Pyo Moon Clifford algebra, spin representation,
and rational parameterization of curves
and surfaces . . . . . . . . . . . . . . 5--48
Stefan Leopoldseder Cone spline surfaces and spatial arc
splines --- a sphere geometric approach 49--66
Jens Gravesen and
Michael Ungstrup Constructing invariant fairness measures
for surfaces . . . . . . . . . . . . . . 67--88
Rimvydas Krasauskas Toric Surface Patches . . . . . . . . . 89--113
Kenneth Sprott and
Bahram Ravani Kinematic Generation of Ruled Surfaces 115--133
Bert Jüttler and
Alf Felis Least-Squares Fitting of Algebraic
Spline Surfaces . . . . . . . . . . . . 135--152
Michel Bercovier and
Moshe Luzon and
Elan Pavlov Detecting planar patches in an
unorganised set of points in space . . . 153--166
A. Mazroui and
D. Sbibih and
P. Sablonni\`ere Existence and construction of $ H_1
$-splines of class $ C^k $ on a three
directional mesh . . . . . . . . . . . . 167--198
Mariantonia Cotronei and
Maria Laura Lo Cascio A method for the construction of
families of biorthogonal filters with
prescribed properties . . . . . . . . . 199--210
Ricardo Celorrio and
Víctor Domínguez and
Francisco-Javier Sayas Periodic Dirac delta distributions in
the boundary element method . . . . . . 211--236
Tom Lyche and
Trygve K. Nilssen and
Ragnar Winther Preconditioned iterative methods for
scattered data interpolation . . . . . . 237--256
Hoi Ling Cheung and
Canqin Tang and
Ding-Xuan Zhou Supports of locally linearly independent
$M$-refinable functions, attractors of
iterated function systems and tilings 257--268
V. N. Temlyakov A criterion for convergence of weak
greedy algorithms . . . . . . . . . . . 269--280
George C. Hsiao and
Andreas Rathsfeld Wavelet collocation methods for a first
kind boundary integral equation in
acoustic scattering . . . . . . . . . . 281--308
Yunqing Huang and
Weimin Xue Convergence of finite element
approximations and multilevel
linearization for Ginzburg--Landau model
of $d$-wave superconductors . . . . . . 309--330
Wei Wu and
Guorui Feng and
Xin Li Training multilayer perceptrons via
minimization of sum of ridge functions 331--347
Jian-guo Tang and
He-ping Ma Single and multi-interval Legendre $
\tau $-methods in time for parabolic
equations . . . . . . . . . . . . . . . 349--367
Rida T. Farouki and
Mohammad al-Kandari and
Takis Sakkalis Hermite interpolation by
rotation-invariant spatial
Pythagorean-hodograph curves . . . . . . 369--383
Lyle Noakes Quadratic Interpolation on Spheres . . . 385--395
Anonymous Author Index . . . . . . . . . . . . . . 397--398
Nicholas J. Daras Generalized Padé-type approximation and
integral representations . . . . . . . . 1--39
P. Costantini and
C. Manni Shape-preserving $ C^3 $ interpolation:
the curve case . . . . . . . . . . . . . 41--63
Manfred Tasche and
Hansmartin Zeuner Roundoff error analysis of the recursive
moving window discrete Fourier transform 65--78
J. M. Carnicer and
E. Mainar and
J. M. Peña Restricted Systems . . . . . . . . . . . 79--90
Akram Aldroubi and
Qiyu Sun Preface . . . . . . . . . . . . . . . . 91--92
Radu Balan and
Peter G. Casazza and
Christopher Heil and
Zeph Landau Deficits and Excesses of Frames . . . . 93--116
Ole Christensen and
Diana T. Stoeva $p$-Frames in separable Banach spaces 117--126
Jean-Pierre Gabardo and
Deguang Han Frames Associated with Measurable Spaces 127--147
Karlheinz Gröchenig Localized frames are finite unions of
Riesz sequences . . . . . . . . . . . . 149--157
Charles K. Chui and
Wenjie He and
Joachim Stöckler and
Qiyu Sun Compactly supported tight affine frames
with integer dilations and maximum
vanishing moments . . . . . . . . . . . 159--187
Stephan Dahlke and
Peter Maass and
Gerd Teschke Reconstruction of wideband reflectivity
densities by wavelet transforms . . . . 189--209
Bin Han and
Qun Mo Multiwavelet Frames from Refinable
Function Vectors . . . . . . . . . . . . 211--245
Qingtang Jiang Parameterizations of Masks for Tight
Affine Frames with Two
Symmetric/Antisymmetric Generators . . . 247--268
Hong Oh Kim and
Rae Young Kim and
Jae Kun Lim Quasi-biorthogonal frame multiresolution
analyses and wavelets . . . . . . . . . 269--296
Maciej Paluszy\'nski and
Hrvoje \vSiki\'c and
Guido Weiss and
Shaoliang Xiao Tight frame wavelets, their dimension
functions, MRA tight frame wavelets and
connectivity properties . . . . . . . . 297--327
Peter G. Casazza and
Ole Christensen Gabor Frames over Irregular Lattices . . 329--344
Youming Liu and
Yang Wang The Uniformity of Non-Uniform Gabor
Bases . . . . . . . . . . . . . . . . . 345--355
John J. Benedetto and
Matthew Fickus Finite Normalized Tight Frames . . . . . 357--385
Peter G. Casazza and
Jelena Kova\vcevi\'c Equal-Norm Tight Frames with Erasures 387--430
Anonymous Author Index . . . . . . . . . . . . . . 431--432
Benqi Guo and
Hae-Soo Oh and
Zhimin Zhang Preface . . . . . . . . . . . . . . . . 1--2
Zhiqiang Cai and
Jim Douglas, Jr. and
Moongyu Park Development and analysis of higher order
finite volume methods over rectangles
for elliptic equations . . . . . . . . . 3--33
Ben-yu Guo and
Jie Shen and
Cheng-long Xu Spectral and pseudospectral
approximations using Hermite functions:
application to the Dirac equation . . . 35--55
Lilia Krivodonova and
Joseph E. Flaherty Error estimation for discontinuous
Galerkin solutions of two-dimensional
hyperbolic problems . . . . . . . . . . 57--71
Ana-Maria Matache and
Tomá\vs Roubí\vcek and
Christoph Schwab Higher-order convex approximations of
Young measures in optimal control . . . 73--97
Yuesheng Xu and
Qingsong Zou Adaptive wavelet methods for elliptic
operator equations with nonlinear terms 99--146
You-lan Zhu and
Bin-mu Chen and
Hongliang Ren and
Hanping Xu Application of the
singularity-separating method to
American exotic option pricing . . . . . 147--158
Alexei Bespalov Orthogonal systems of singular functions
and numerical treatment of problems with
degeneration of data . . . . . . . . . . 159--182
Gee Ju Chae and
Hong Oh Kim On the Preservation of Stability under
Convolutions . . . . . . . . . . . . . . 183--193
Han-Lin Chen and
Si-Long Peng Localization of dual periodic scaling
and wavelet functions . . . . . . . . . 195--210
Norbert Heuer and
Ernst P. Stephan An overlapping domain decomposition
preconditioner for high order BEM with
anisotropic elements . . . . . . . . . . 211--230
Jens Hoefkens and
Martin Berz and
Kyoko Makino Computing validated solutions of
implicit differential equations . . . . 231--253
Hyung-Chun Lee Analysis and computational methods of
Dirichlet boundary optimal control
problems for $2$D Boussinesq equations 255--275
Chang-Ock Lee and
Jongwoo Lee and
Dongwoo Sheen A locking-free nonconforming finite
element method for planar linear
elasticity . . . . . . . . . . . . . . . 277--291
Yuesheng Li The inversion of multiscale convolution
approximation and average of
distributions . . . . . . . . . . . . . 293--306
Lei Zhang and
Haesun Park and
J. Ben Rosen Exponential modeling with unknown model
order using structured nonlinear total
least norm . . . . . . . . . . . . . . . 307--322
Ningning Yan \em A posteriori error estimators of
gradient recovery type for FEM of a
model optimal control problem . . . . . 323--336
Anonymous Past Editors of \booktitleAdvances in
Computational Mathematics . . . . . . . 337--337
Youngmok Jeon and
William McLean A new boundary element method for the
biharmonic equation with Dirichlet
boundary conditions . . . . . . . . . . 339--354
Cornelis V. M. van der Mee and
M. Z. Nashed and
Sebastiano Seatzu Sampling expansions and interpolation in
unitarily translation invariant
reproducing kernel Hilbert spaces . . . 355--372
Eng-Wee Chionh Parallel Dixon Matrices by Bracket . . . 373--383
Roberto Barrio A unified rounding error bound for
polynomial evaluation . . . . . . . . . 385--399
M. Calvo and
M. P. Laburta and
J. I. Montijano Two-step high order starting values for
implicit Runge--Kutta methods . . . . . 401--412
Anonymous Author Index . . . . . . . . . . . . . . 413--414
Anonymous Preface . . . . . . . . . . . . . . . . 1--3
J. M. Carnicer and
M. Gasca Classification of bivariate
configurations with simple Lagrange
interpolation formulae . . . . . . . . . 5--16
Qiuhui Chen and
Yuesheng Xu The cascade algorithm for the numerical
computation of refinable functions . . . 17--24
Paolo Costantini and
Francesca Pelosi Shape-Preserving Approximation of
Spatial Data . . . . . . . . . . . . . . 25--51
S. Dekel and
D. Leviatan On measuring the efficiency of kernel
operators in $ L_p(\mathbb {R}^d) $ . . 53--65
K. Jetter and
G. Zimmermann Polynomial Reproduction in Subdivision 67--86
A. Kouibia and
M. Pasadas Approximation of surfaces by fairness
bicubic splines . . . . . . . . . . . . 87--103
P. Lamberti and
C. Manni Tensioned quasi-interpolation via
geometric continuity . . . . . . . . . . 105--127
U. Luther Approximation spaces in the numerical
analysis of operator equations . . . . . 129--147
T. Lyche and
J. M. Peña Optimally Stable Multivariate Bases . . 149--159
E. Mainar and
J. M. Peña Quadratic-Cycloidal Curves . . . . . . . 161--175
Marie-Laurence Mazure Blossoms and Optimal Bases . . . . . . . 177--203
H. Michael Möller and
Thomas Sauer Multivariate refinable functions of high
approximation order via quotient ideals
of Laurent polynomials . . . . . . . . . 205--228
Paul Sablonni\`ere Bernstein-type bases and corner cutting
algorithms for $ C^1 $ Merrien's curves 229--246
Yuan Xu Polynomial interpolation on the unit
sphere and on the unit ball . . . . . . 247--260
Allan Pinkus Strictly positive definite functions on
a real inner product space . . . . . . . 263--271
Marie Madeleine Derriennic Shape preserving polynomial curves . . . 273--292
Marius Bochniak The dual singular function method for
$2$D boundary integral equations . . . . 293--310
Song Li Characterization of smoothness of
multivariate refinable functions and
convergence of cascade algorithms of
nonhomogeneous refinement equations . . 311--331
Xiu Ye Discontinuous stable elements for the
incompressible flow . . . . . . . . . . 333--345
V. N. Konovalov and
D. Leviatan Free-knot splines approximation of
$s$-monotone functions . . . . . . . . . 347--366
Douglas P. Hardin and
Thomas A. Hogan and
Qiyu Sun The matrix-valued Riesz lemma and local
orthonormal bases in shift-invariant
spaces . . . . . . . . . . . . . . . . . 367--384
Hwanho Kim and
Jinchao Xu and
Ludmil Zikatanov Uniformly convergent multigrid methods
for convection--diffusion problems
without any constraint on coarse grids 385--399
Peter Oswald Smoothness of nonlinear
median-interpolation subdivision . . . . 401--423
Anonymous Past Editors of \booktitleAdvances in
Computational Mathematics . . . . . . . 425--425
Anonymous Author Index . . . . . . . . . . . . . . 427--428
Francis J. Narcowich and
Joseph D. Ward Preface [Computational and approximation
on the sphere] . . . . . . . . . . . . . 1--2
Marian Neamtu and
Larry L. Schumaker On the approximation order of splines on
spherical triangulations . . . . . . . . 3--20
Daniel Potts Approximation of scattered data by
trigonometric polynomials on the torus
and the $2$-sphere . . . . . . . . . . . 21--36
Yuan Xu Approximation by means of $h$-harmonic
polynomials on the unit sphere . . . . . 37--58
D. M. Healy, Jr. and
P. J. Kostelec and
D. Rockmore Towards safe and effective high-order
Legendre transforms with applications to
FFTs for the $2$-sphere . . . . . . . . 59--105
Ian H. Sloan and
Robert S. Womersley Extremal systems of points and numerical
integration on the sphere . . . . . . . 107--125
H. N. Mhaskar and
F. J. Narcowich and
J. D. Ward On the representation of band-dominant
functions on the sphere using finitely
many bits . . . . . . . . . . . . . . . 127--146
Stephan Dahlke and
Gabriele Steidl and
Gerd Teschke Coorbit spaces and Banach frames on
homogeneous spaces with applications to
the sphere . . . . . . . . . . . . . . . 147--180
W. Freeden and
V. Michel Orthogonal zonal, tesseral and sectorial
wavelets on the sphere for the analysis
of satellite data . . . . . . . . . . . 181--217
Anonymous Past Editors of \booktitleAdvances in
Computational Mathematics . . . . . . . 219--219
Larry L. Schumaker Preface [Multivariate splines] . . . . . 221--222
Oleg Davydov and
Frank Zeilfelder Scattered data fitting by direct
extension of local polynomials to
bivariate splines . . . . . . . . . . . 223--271
Ming-Jun Lai and
A. LeMéhauté A new kind of trivariate $ C^1 $
macro-element . . . . . . . . . . . . . 273--292
Ming-Jun Lai and
Paul Wenston $ L_1 $ spline methods for scattered
data interpolation and approximation . . 293--315
O. Nouisser and
D. Sbibih and
P. Sablonni\`ere Pairs of B-splines with small support on
the four-directional mesh generating a
partition of unity . . . . . . . . . . . 317--355
Günther Nürnberger and
Larry L. Schumaker and
Frank Zeilfelder Lagrange interpolation by $ C^1 $ cubic
splines on triangulated quadrangulations 357--380
Günther Nürnberger and
Frank Zeilfelder Lagrange interpolation by bivariate $
C^1 $-splines with optimal approximation
order . . . . . . . . . . . . . . . . . 381--419
Larry L. Schumaker and
Tatyana Sorokina $ C^1 $ quintic splines on type-4
tetrahedral partitions . . . . . . . . . 421--444
Anonymous Errata . . . . . . . . . . . . . . . . . 445--445
Anonymous Past Editors of \booktitleAdvances in
Computational Mathematics . . . . . . . 447--447
Anonymous Author Index . . . . . . . . . . . . . . 449--450
Holger Rauhut Best time localized trigonometric
polynomials and wavelets . . . . . . . . 1--20
Tri Van and
Aihua Wood Finite element analysis of transient
electromagnetic scattering problems . . 21--48
T. N. T. Goodman and
B. H. Ong Shape-preserving interpolation by
splines using vector subdivision . . . . 49--77
Smadar Karni and
Alexander Kurganov Local error analysis for approximate
solutions of hyperbolic conservation
laws . . . . . . . . . . . . . . . . . . 79--99
Anonymous Past editors of \booktitleAdvances in
Computational Mathematics . . . . . . . 101--101
V. Maiorov On lower bounds in radial basis
approximation . . . . . . . . . . . . . 103--113
Jia-fu Lin and
Qun Lin Extrapolation of the Hood--Taylor
elements for the Stokes problem . . . . 115--123
Anne-Sophie Piquemal and
Jacques Liandrat A new wavelet preconditioner for finite
difference operators . . . . . . . . . . 125--163
Zhihua Zhang Periodic wavelet frames . . . . . . . . 165--180
Fangyan Lu and
Hongwei Sun Positive definite dot product kernels in
learning theory . . . . . . . . . . . . 181--198
Anonymous Past editors of \booktitleAdvances in
Computational Mathematics . . . . . . . 199--199
Youngmok Jeon and
Dongwoo Sheen Analysis of a cell boundary element
method . . . . . . . . . . . . . . . . . 201--222
Jiachang Sun and
Huiyuan Li Generalized Fourier transform on an
arbitrary triangular domain . . . . . . 223--248
P. B. Borwein and
A. Cuyt and
P. Zhou Explicit construction of general
multivariate Padé approximants to an
Appell function . . . . . . . . . . . . 249--273
Aurelian Bejancu and
Malcolm A. Sabin Maximal approximation order for a
box-spline semi-cardinal interpolation
scheme on the three-direction mesh . . . 275--298
Rida T. Farouki and
Chang Yong Han Solution of elementary equations in the
Minkowski geometric algebra of complex
sets . . . . . . . . . . . . . . . . . . 301--323
Francesca Pelosi and
Rida T. Farouki and
Carla Manni and
Alessandra Sestini Geometric Hermite interpolation by
spatial Pythagorean-hodograph cubics . . 325--352
Olaf Hansen A fast collocation method for the
radiosity equation, based on the
hierarchical algorithm of Hanrahan and
Salzman: the $1$ d case . . . . . . . . 353--375
Q. T. Le Gia Approximation of parabolic PDEs on
spheres using spherical basis functions 377--397
Anonymous Preface . . . . . . . . . . . . . . . . 1--3
Bengt Fornberg and
Natasha Flyer Accuracy of radial basis function
interpolation and derivative
approximations on $1$-D infinite grids 5--20
Jichun Li Mixed methods for fourth-order elliptic
and parabolic problems using radial
basis functions . . . . . . . . . . . . 21--30
Leevan Ling and
Edward J. Kansa A least-squares preconditioner for
radial basis functions collocation
methods . . . . . . . . . . . . . . . . 31--54
Graeme Fairweather and
Andreas Karageorghis and
Yiorgos-Sokratis Smyrlis A matrix decomposition MFS algorithm for
axisymmetric biharmonic problems . . . . 55--71
Satya N. Atluri and
Shengping Shen The basis of meshless domain
discretization: the meshless local
Petrov--Galerkin (MLPG) method . . . . . 73--93
I. Tsukanov and
V. Shapiro Meshfree modeling and analysis of
physical fields in heterogeneous media 95--124
C. J. S. Alves and
C. S. Chen A new method of fundamental solutions
applied to nonhomogeneous elliptic
problems . . . . . . . . . . . . . . . . 125--142
R. Keck and
D. Hietel A projection technique for
incompressible flow in the meshless
finite volume particle method . . . . . 143--169
S. P. Xiao and
T. Belytschko Material stability analysis of particle
methods . . . . . . . . . . . . . . . . 171--190
Weimin Han and
Wing Kam Liu Flexible piecewise approximations based
on partition of unity . . . . . . . . . 191--199
Zong Min Wu and
Jian Ping Liu Generalized Strang--Fix condition for
scattered data quasi-interpolation . . . 201--214
Klaus Höllig and
Christian Apprich and
Anja Streit Introduction to the Web-method and its
applications . . . . . . . . . . . . . . 215--237
J. Pousin and
T. Sassi \em A posteriori error estimates and
domain decomposition with nonmatching
grids . . . . . . . . . . . . . . . . . 241--263
Xin Li On convergence of the method of
fundamental solutions for solving the
Dirichlet problem of Poisson's equation 265--277
A. Mazroui and
D. Sbibih and
A. Tijini A simple method for smoothing functions
and compressing Hermite data . . . . . . 279--297
Svenja Lowitzsch Matrix-valued radial basis functions:
stability estimates and applications . . 299--315
Stefano De Marchi and
Robert Schaback and
Holger Wendland Near-optimal data-independent point
locations for radial basis function
interpolation . . . . . . . . . . . . . 317--330
Jieqing Tan and
Ping Zhou On the finite sum representations of the
Lauricella functions $ F_D $ . . . . . . 333--351
M. R. Capobianco and
W. Themistoclakis Interpolating polynomial wavelets on $ [
- 1, 1] $ . . . . . . . . . . . . . . . 353--374
Ye Peixin Computational complexity of the
integration problem for anisotropic
classes . . . . . . . . . . . . . . . . 375--392
Jean-Paul Calvi Intertwining unisolvent arrays for
multivariate Lagrange interpolation . . 393--414
Anonymous Preface . . . . . . . . . . . . . . . . 1--3
Arne Barinka and
Stephan Dahlke and
Wolfgang Dahmen Adaptive application of operators in
standard representation . . . . . . . . 5--34
John J. Benedetto and
Songkiat Sumetkijakan Tight frames and geometric properties of
wavelet sets . . . . . . . . . . . . . . 35--56
M. D. Buhmann Semi-infinite cardinal interpolation
with multiquadrics and beyond . . . . . 57--80
Brian Camp and
Tao Lin and
Yanping Lin and
Weiwei Sun Quadratic immersed finite element spaces
and their approximation capabilities . . 81--112
J. M. Carnicer and
M. Gasca Interpolation on lattices generated by
cubic pencils . . . . . . . . . . . . . 113--130
A. S. Cavaretta and
A. Sharma Optimal recovery of interpolation
operators in Hardy spaces . . . . . . . 131--141
Carl de Boor On interpolation by radial polynomials 143--153
Di-Rong Chen and
Dao-Hong Xiang The consistency of multicategory support
vector machines . . . . . . . . . . . . 155--169
Qiuhui Chen and
Norden Huang and
Sherman Riemenschneider and
Yuesheng Xu A B-spline approach for empirical mode
decompositions . . . . . . . . . . . . . 171--195
Yanping Chen Uniform convergence analysis of finite
difference approximations for singular
perturbation problems on an adapted grid 197--212
Zhongying Chen and
Bin Wu and
Yuesheng Xu Multilevel augmentation methods for
differential equations . . . . . . . . . 213--238
Charles K. Chui and
Jian-ao Lian Construction of orthonormal
multi-wavelets with additional vanishing
moments . . . . . . . . . . . . . . . . 239--262
Jorge Delgado and
Juan Manuel Peña On the generalized Ball bases . . . . . 263--280
Johan De Villiers On refinable functions and subdivision
with positive masks . . . . . . . . . . 281--295
De-Jun Feng and
Long Wang and
Yang Wang Generation of finite tight frames by
Householder transformations . . . . . . 297--309
Michael S. Floater and
Kai Hormann and
Géza Kós A general construction of barycentric
coordinates over convex polygons . . . . 311--331
Say Song Goh and
Tim N. T. Goodman Inequalities on time-concentrated or
frequency-concentrated functions . . . . 333--351
Benqi Guo and
Norbert Heuer The optimal convergence of the $h$--$p$
version of the boundary element method
with quasiuniform meshes for elliptic
problems on polygonal domains . . . . . 353--374
Bin Han Solutions in Sobolev spaces of vector
refinement equations with a general
dilation matrix . . . . . . . . . . . . 375--403
Alan J. Hoffman Gersgorin variations. II. On themes of
Fan and Gudkov . . . . . . . . . . . . . 1--6
Min Huang A construction of multiscale bases for
Petrov--Galerkin methods for integral
equations . . . . . . . . . . . . . . . 7--22
Rong-Qing Jia and
Song-Tao Liu Wavelet bases of Hermite cubic splines
on the interval . . . . . . . . . . . . 23--39
Ming-Jun Lai Construction of multivariate compactly
supported orthonormal wavelets . . . . . 41--56
Byung-Gook Lee and
Yeon Ju Lee and
Jungho Yoon Stationary binary subdivision schemes
using radial basis function
interpolation . . . . . . . . . . . . . 57--72
D. Leviatan and
V. N. Temlyakov Simultaneous approximation by greedy
algorithms . . . . . . . . . . . . . . . 73--90
Qiaofang Lian and
Yongge Wang and
Dunyan Yan A characterization of $ L^p(\mathbb {R})
$ by local trigonometric bases with $ 1 <
p < \infty $ . . . . . . . . . . . . . . 91--104
Tom Lyche and
Marie-Laurence Mazure Total positivity and the existence of
piecewise exponential B-splines . . . . 105--133
Dong Mao and
Lihua Shen and
Aihui Zhou Adaptive finite element algorithms for
eigenvalue problems based on local
averaging type a posteriori error
estimates . . . . . . . . . . . . . . . 135--160
Sayan Mukherjee and
Partha Niyogi and
Tomaso Poggio and
Ryan Rifkin Learning theory: stability is sufficient
for generalization and necessary and
sufficient for consistency of empirical
risk minimization . . . . . . . . . . . 161--193
Lyle Noakes Duality and Riemannian cubics . . . . . 195--209
Thomas Sauer Differentiability of multivariate
refinable functions and factorization 211--235
R. Schaback and
J. Werner Linearly constrained reconstruction of
functions by kernels with applications
to machine learning . . . . . . . . . . 237--258
Reinhold Schneider and
Yuesheng Xu and
Aihui Zhou An analysis of discontinuous Galerkin
methods for elliptic problems . . . . . 259--286
Shi Shu and
Jinchao Xu and
Ying Yang and
Haiyuan Yu An algebraic multigrid method for finite
element systems on criss-cross grids . . 287--304
Li-lian Wang and
Ben-yu Guo Stair Laguerre pseudospectral method for
differential equations on the half line 305--322
Ding-Xuan Zhou and
Kurt Jetter Approximation with polynomial kernels
and SVM classifiers . . . . . . . . . . 323--344
Michael S. Floater and
Valérie Pham-Trong Convex combination maps over
triangulations, tilings, and tetrahedral
meshes . . . . . . . . . . . . . . . . . 347--356
Roland Opfer Multiscale kernels . . . . . . . . . . . 357--380
Elena Zampieri and
Luca F. Pavarino An explicit second order spectral
element method for acoustic waves . . . 381--401
Yinnian He and
Kam-Moon Liu Multi-level spectral Galerkin method for
the Navier--Stokes equations. II. Time
discretization . . . . . . . . . . . . . 403--433
V. Maiorov Pseudo-dimension and entropy of
manifolds formed by affine-invariant
dictionary . . . . . . . . . . . . . . . 435--450
M.-Y. Y. Kim Global dynamics of approximate solutions
to an age-structured epidemic model with
diffusion . . . . . . . . . . . . . . . 451--474
Valery A. Zheludev Interpolatory subdivision schemes with
infinite masks originated from splines 475--506
J. M. Carnicer and
J. M. Peña The work of Mariano Gasca . . . . . . . 1--8
D. Barrios Rolanía and
G. López Lagomasino Asymptotic behavior of solutions of
general three term recurrence relations 9--37
A. Bermúdez and
D. Gómez and
M. C. Muñiz and
P. Salgado Transient numerical simulation of a
thermoelectrical problem in cylindrical
induction heating furnaces . . . . . . . 39--62
C. de Boor Interpolation from spaces spanned by
monomials . . . . . . . . . . . . . . . 63--70
C. Brezinski and
M. Raydan Cauchy--Schwarz and Kantorovich type
inequalities for scalar and matrix
moment sequences . . . . . . . . . . . . 71--80
A. Cachafeiro and
F. Marcellán and
C. Pérez Orthogonal polynomials with respect to
the sum of an arbitrary measure and a
Bernstein--Szeg\Ho measure . . . . . . . 81--104
M. Calvo and
J. I. Montijano and
L. Rández On explicit multi-revolution
Runge--Kutta schemes . . . . . . . . . . 105--120
J. M. Carnicer and
E. Mainar and
J. M. Peña Shape preservation regions for
six-dimensional spaces . . . . . . . . . 121--136
Eduardo Casas Using piecewise linear functions in the
numerical approximation of semilinear
elliptic control problems . . . . . . . 137--153
Wolfgang zu Castell and
Noemí Laín Fernández and
Yuan Xu Polynomial interpolation on the unit
sphere. II . . . . . . . . . . . . . . . 155--171
Qiuhui Chen and
Charles A. Micchelli and
Yuesheng Xu On the matrix completion problem for
multivariate filter bank construction 173--204
Paolo Costantini and
Francesca Pelosi Shape preserving histogram approximation 205--230
Say Song Goh and
Tim N. T. Goodman and
S. L. Lee Causality properties of refinable
functions and sequences . . . . . . . . 231--250
Manuel de León and
David Martín de Diego and
Aitor Santamaría-Merino Discrete variational integrators and
optimal control theory . . . . . . . . . 251--268
Evgeny Lipovetsky and
Nira Dyn An efficient algorithm for the
computation of the metric average of two
intersecting convex polygons, with
application to morphing . . . . . . . . 269--282
Carla Manni and
Paul Sablonni\`ere Quadratic spline quasi-interpolants on
Powell--Sabin partitions . . . . . . . . 283--304
Marie-Laurence Mazure Pseudoaffinity, de Boor algorithm, and
blossoms . . . . . . . . . . . . . . . . 305--322
Juan Manuel Peña and
Tomas Sauer Efficient polynomial reduction . . . . . 323--336
Louis T. Tebou and
Enrique Zuazua Uniform boundary stabilization of the
finite difference space discretization
of the $1$-d wave equation . . . . . . . 337--365
Qiya Hu A regularized domain decomposition
method with Lagrange multiplier . . . . 367--401
Hans G. Feichtinger and
Wenchang Sun Sufficient conditions for irregular
Gabor frames . . . . . . . . . . . . . . 403--430
V. N. Temlyakov Greedy expansions in Banach spaces . . . 431--449
S. B. Damelin Pointwise bounds of orthogonal
expansions on the real line via weighted
Hilbert transforms . . . . . . . . . . . 451--471
Ben-yu Guo and
Li-Lian Wang Error analysis of spectral method on a
triangle . . . . . . . . . . . . . . . . 473--496
Joel Hass and
Rida T. Farouki and
Chang Yong Han and
Xiaowen Song and
Thomas W. Sederberg Guaranteed consistency of surface
intersections and trimmed surfaces using
a coupled topology resolution and domain
decomposition scheme . . . . . . . . . . 1--26
Stephan Dahlke and
Massimo Fornasier and
Thorsten Raasch Adaptive frame methods for elliptic
operator equations . . . . . . . . . . . 27--63
Peter G. Casazza and
Gitta Kutyniok A generalization of Gram--Schmidt
orthogonalization generating all
Parseval frames . . . . . . . . . . . . 65--78
Ying Guang Shi and
Guoliang Xu Construction of $ \sigma $-orthogonal
polynomials and Gaussian quadrature
formulas . . . . . . . . . . . . . . . . 79--94
Wei Chen and
Qun Lin Asymptotic expansion and extrapolation
for the eigenvalue approximation of the
biharmonic eigenvalue problem by
Ciarlet--Raviart scheme . . . . . . . . 95--106
Francis J. Narcowich and
Xinping Sun and
Joseph D. Ward Approximation power of RBFs and their
associated SBFs: a connection . . . . . 107--124
R. K. Beatson and
H.-Q. Q. Bui Mollification formulas and implicit
smoothing . . . . . . . . . . . . . . . 125--149
Laurent Smoch Spectral behaviour of GMRES applied to
singular systems . . . . . . . . . . . . 151--166
Qun Lin and
Jiaquan Liu Counterexamples to the asymptotic
expansion of interpolation in finite
elements . . . . . . . . . . . . . . . . 167--177
T. Blesgen On the competition of elastic energy and
surface energy in discrete numerical
schemes . . . . . . . . . . . . . . . . 179--194
Morten Nielsen On polynomial symbols for subdivision
schemes . . . . . . . . . . . . . . . . 195--209
V. N. Konovalov and
D. Leviatan Freeknot splines approximation of
Sobolev-type classes of $s$-monotone
functions . . . . . . . . . . . . . . . 211--236
J. Levesley and
D. L. Ragozin Radial basis interpolation on
homogeneous manifolds: convergence rates 237--246
T. Wei and
Y. C. Hon Numerical differentiation by radial
basis functions approximation . . . . . 247--272
Yiming Ying Convergence analysis of online
algorithms . . . . . . . . . . . . . . . 273--291
Shujuan Lü and
Qishao Lu Fourier spectral approximation to
long-time behavior of three dimensional
Ginzburg--Landau type equation . . . . . 293--318
Joe Warren and
Scott Schaefer and
Anil N. Hirani and
Mathieu Desbrun Barycentric coordinates for convex sets 319--338
N. Gnaneshwar A degenerate kernel method for
eigenvalue problems of compact integral
operators . . . . . . . . . . . . . . . 339--354
Peter L. Sòndergaard Gabor frames by sampling and
periodization . . . . . . . . . . . . . 355--373
Pavel Chalmovianský and
Bert Jüttler A non-linear circle-preserving
subdivision scheme . . . . . . . . . . . 375--400
Haitao Li and
Dunyan Yan Characterizations of multi-knot
piecewise linear spectral sequences . . 401--422
R. D. da Cunha and
D. Becker Dynamic block GMRES: an iterative method
for block linear systems . . . . . . . . 423--448
Francesc Ar\`andiga and
Antonio Baeza and
Rosa Donat Vector cell-average multiresolution
based on Hermite interpolation . . . . . 1--22
Rémi Gribonval and
Morten Nielsen Beyond sparsity: recovering structured
representations by $ \ell^1 $
minimization and greedy algorithms . . . 23--41
Volker John and
Songul Kaya Finite element error analysis of a
variational multiscale method for the
Navier--Stokes equations . . . . . . . . 43--61
Shagi-Di Shih and
Shue-Sum Chow Equivalence of $n$-point
Gauss--Chebyshev rule and $ 4 n$-point
midpoint rule in computing the period of
a Lotka--Volterra system . . . . . . . . 63--79
Shipeng Mao and
Shaochun Chen A quadrilateral nonconforming finite
element for linear elasticity problem 81--100
Yang Wang Sigma--delta quantization errors and the
traveling salesman problem . . . . . . . 101--118
V. Domínguez and
M.-L. Rapún and
F.-J. Sayas Dirac delta methods for Helmholtz
transmission problems . . . . . . . . . 119--139
Shidong Li and
Hidemitsu Ogawa Optimal noise suppression: a geometric
nature of pseudoframes for subspaces . . 141--155
Charles A. Micchelli and
Yuesheng Xu and
Haizhang Zhang On translation invariant operators which
preserve the B-spline recurrence . . . . 157--169
Hyeong In Choi and
Sung Woo Choi and
Chang Yong Han and
Tae-wan Kim and
Song-Hwa Kwon and
Hwan Pyo Moon and
Kyeong Hah Roh and
Nam-Sook Wee Two-dimensional offsets and medial axis
transform . . . . . . . . . . . . . . . 171--199
A. Aimi and
M. Diligenti Restriction matrices for numerically
exploiting symmetry . . . . . . . . . . 201--235
Ben-yu Guo and
Jie Shen Irrational approximations and their
applications to partial differential
equations in exterior domains . . . . . 237--267
Xin Li Convergence of the method of fundamental
solutions for Poisson's equation on the
unit sphere . . . . . . . . . . . . . . 269--282
Y. C. Hon and
Robert Schaback Solvability of partial differential
equations by meshless kernel methods . . 283--299
Qiyu Sun Frames in spaces with finite rate of
innovation . . . . . . . . . . . . . . . 301--329
Kerstin Hesse and
Paul Leopardi The Coulomb energy of spherical designs
on $ S^2 $ . . . . . . . . . . . . . . . 331--354
Yang Liu and
Qiya Hu and
Dehao Yu A non-overlapping domain decomposition
for low-frequency time-harmonic
Maxwell's equations in unbounded domains 355--382
Chengjian Zhang and
Stefan Vandewalle Stability criteria for exact and
discrete solutions of neutral
multidelay-integro-differential
equations . . . . . . . . . . . . . . . 383--399
Gerlind Plonka and
Hagen Schumacher and
Manfred Tasche Numerical stability of biorthogonal
wavelet transforms . . . . . . . . . . . 1--25
Tao Feng and
Ningning Yan and
Wenbin Liu Adaptive finite element methods for the
identification of distributed parameters
in elliptic equation . . . . . . . . . . 27--53
Tadej Kotnik The prime-counting function and its
analytic approximations: $ \pi (x) $ and
its approximations . . . . . . . . . . . 55--70
T. Sorokina and
A. J. Worsey A multivariate Powell--Sabin interpolant 71--89
Anonymous Errata . . . . . . . . . . . . . . . . . 91--100
Ole Christensen and
Asghar Rahimi Frame properties of wave packet systems
in $ L^2 (\mathbb {R}^d) $ . . . . . . . 101--111
Guo Chen and
Zhilin Li and
Ping Lin A fast finite difference method for
biharmonic equations on irregular
domains and its application to an
incompressible Stokes flow . . . . . . . 113--133
Hehu Xie Extrapolation of the Nédélec element for
the Maxwell equations by the mixed
finite element method . . . . . . . . . 135--145
Ian H. Sloan and
Alvise Sommariva Approximation on the sphere using radial
basis functions plus polynomials . . . . 147--177
Aliki D. Muradova The spectral method and numerical
continuation algorithm for the von Kármán
problem with postbuckling behaviour of
solutions . . . . . . . . . . . . . . . 179--206
Boris Shekhtman Bivariate ideal projectors and their
perturbations . . . . . . . . . . . . . 207--228
Nicola Guglielmi and
Ernst Hairer Computing breaking points in implicit
delay differential equations . . . . . . 229--247
Helmut Pottmann and
Johannes Wallner The focal geometry of circular and
conical meshes . . . . . . . . . . . . . 249--268
Edward J. Fuselier Improved stability estimates and a
characterization of the native space for
matrix-valued RBFs . . . . . . . . . . . 269--290
Gui-Bo Ye and
Ding-Xuan Zhou Learning and approximation by Gaussians
on Riemannian manifolds . . . . . . . . 291--310
Edward J. Fuselier Erratum: ``Improved stability estimates
and a characterization of the native
space for matrix-valued RBFs''
[\booktitleAdv. Comput. Math. \bf 29
(2008), no. 3, 269--290; MR2438345] . . 311--313
Peter Alfeld and
Larry L. Schumaker Bounds on the dimensions of trivariate
spline spaces . . . . . . . . . . . . . 315--335
Shanghui Jia and
Deli Li and
Shuhua Zhang Asymptotic expansions and Richardson
extrapolation of approximate solutions
for integro-differential equations by
mixed finite element methods . . . . . . 337--356
H. Führ Simultaneous estimates for vector-valued
Gabor frames of Hermite functions . . . 357--373
Huipo Liu and
Ningning Yan Superconvergence analysis of the
nonconforming quadrilateral
linear-constant scheme for Stokes
equations . . . . . . . . . . . . . . . 375--392
Xin Li Rate of convergence of the method of
fundamental solutions and
hyperinterpolation for modified
Helmholtz equations on the unit ball . . 393--413
Yanping Lin and
Kai Zhang and
Jun Zou Studies on some perfectly matched layers
for one-dimensional time-dependent
systems . . . . . . . . . . . . . . . . 1--35
Kerstin Hesse The $s$-energy of spherical designs on $
S^2 $ . . . . . . . . . . . . . . . . . 37--59
J. Monterde A characterization of helical polynomial
curves of any degree . . . . . . . . . . 61--78
Stephan Didas and
Simon Setzer and
Gabriele Steidl Combined $ l_2 $ data and gradient
fitting in conjunction with $ l_1 $
regularization . . . . . . . . . . . . . 79--99
Eugene O'Riordan and
Martin Stynes Numerical analysis of a strongly coupled
system of two singularly perturbed
convection--diffusion problems . . . . . 101--121
Ji\vrí Kosinka and
Bert Jüttler $ C^1 $ Hermite interpolation by
Pythagorean hodograph quintics in
Minkowski space . . . . . . . . . . . . 123--140
Jian Li and
Zhangxin Chen A new stabilized finite volume method
for the stationary Stokes equations . . 141--152
Wenchang Sun and
Xingwei Zhou Characterization of local sampling
sequences for spline subspaces . . . . . 153--175
Rong-Qing Jia Spline wavelets on the interval with
homogeneous boundary conditions . . . . 177--200
Xin Li Approximation of potential integral by
radial bases for solutions of Helmholtz
equation . . . . . . . . . . . . . . . . 201--230
Jakob Lemvig Constructing pairs of dual bandlimited
framelets with desired time localization 231--247
Ben-yu Guo and
Zhong-qing Wang Legendre--Gauss collocation methods for
ordinary differential equations . . . . 249--280
Gabriel N. Gatica and
Antonio Márquez and
Salim Meddahi A new coupling of mixed finite element
and boundary element methods for an
exterior Helmholtz problem in the plane 281--301
Stefan Kunis A note on stability results for
scattered data interpolation on
Euclidean spheres . . . . . . . . . . . 303--314
Gunar Matthies Local projection stabilisation for
higher order discretisations of
convection--diffusion problems on
Shishkin meshes . . . . . . . . . . . . 315--337
Cheng-Feng Lee and
Leevan Ling and
Robert Schaback On convergent numerical algorithms for
unsymmetric collocation . . . . . . . . 339--354
Andrea Caponnetto and
Ernesto De Vito and
Massimiliano Pontil Entropy conditions for $ L_r
$-convergence of empirical processes . . 355--373
Dinh D\~ung Non-linear sampling recovery based on
quasi-interpolant wavelet
representations . . . . . . . . . . . . 375--401
Lixin Shen and
Yuesheng Xu Preface [Mathematical methods for image
processing] . . . . . . . . . . . . . . 1--4
Ernesto Acosta-Reyes and
Akram Aldroubi and
Ilya Krishtal On stability of sampling-reconstruction
models . . . . . . . . . . . . . . . . . 5--34
Johnathan M. Bardsley and
Aaron Luttman Total variation-penalized Poisson
likelihood estimation for ill-posed
problems . . . . . . . . . . . . . . . . 35--59
Erik M. Bollt and
Rick Chartrand and
Selim Esedo\uglu and
Pete Schultz and
Kevin R. Vixie Graduated adaptive image denoising:
local compromise between total variation
and isotropic diffusion . . . . . . . . 61--85
Jian-Feng Cai and
Raymond H. Chan and
Lixin Shen and
Zuowei Shen Convergence analysis of tight framelet
approach for missing data recovery . . . 87--113
Hua-zhu Chen and
Jin-ping Song and
Xue-Cheng Tai A dual algorithm for minimization of the
LLT model . . . . . . . . . . . . . . . 115--130
Charles K. Chui and
Jianzhong Wang PDE models associated with the bilateral
filter . . . . . . . . . . . . . . . . . 131--156
Massimo Fornasier and
Ronny Ramlau and
Gerd Teschke The application of joint sparsity and
total variation minimization algorithms
to a real-life art restoration problem 157--184
Byung-Woo Hong and
Stefano Soatto and
Luminita A. Vese Enforcing local context into shape
statistics . . . . . . . . . . . . . . . 185--213
Qingtang Jiang Hexagonal tight frame filter banks with
idealized high-pass filters . . . . . . 215--236
D. Krishnan and
Quang Vinh Pham and
Andy M. Yip A primal-dual active-set algorithm for
bilaterally constrained total variation
deblurring and piecewise constant
Mumford--Shah segmentation problems . . 237--266
Jian Ren A cryptographic watermarking technique
for multimedia signals . . . . . . . . . 267--281
Juan R. Romero and
Simon K. Alexander and
Shikha Baid and
Saurabh Jain and
Manos Papadakis The geometry and the analytic properties
of isotropic multiresolution analysis 283--328
Jianhong (Jackie) Shen Beamlets are densely embedded in $
H^{-1} $ . . . . . . . . . . . . . . . . 329--348
Xiang-Jun Zhou and
Ding-Xuan Zhou High order Parzen windows and randomized
sampling . . . . . . . . . . . . . . . . 349--368
Petr Knobloch On the choice of the SUPG parameter at
outflow boundary layers . . . . . . . . 369--389
Helmut Pottmann and
Philipp Grohs and
Niloy J. Mitra Laguerre minimal surfaces, isotropic
geometry and linear elasticity . . . . . 391--419
Marty Brenner and
Ying Jiang and
Yuesheng Xu Multiparameter regularization for
Volterra kernel identification via
multiscale collocation methods . . . . . 421--455
Robert Schaback Solving the Laplace equation by meshless
collocation using harmonic kernels . . . 457--470
Art\=uras Dubickas and
Zhiqiang Xu Refinement equations and spline
functions . . . . . . . . . . . . . . . 1--23
Allal Guessab and
Gerhard Schmeisser Construction of positive definite
cubature formulae and approximation of
functions via Voronoi tessellations . . 25--41
J. L. Gracia and
F. J. Lisbona and
E. O'Riordan A coupled system of singularly perturbed
parabolic reaction--diffusion equations 43--61
Valery A. Zheludev and
Amir Z. Averbuch Computation of interpolatory splines via
triadic subdivision . . . . . . . . . . 63--72
Mark Lammers and
Alexander M. Powell and
Özgür Yìlmaz Alternative dual frames for
digital-to-analog conversion in
sigma--delta quantization . . . . . . . 73--102
Christian Rieger and
Barbara Zwicknagl Sampling inequalities for infinitely
smooth functions, with applications to
interpolation and machine learning . . . 103--129
Pedro Massey and
Mariano Ruiz Minimization of convex functionals over
frame operators . . . . . . . . . . . . 131--153
Stefano De Marchi and
Robert Schaback Stability of kernel-based interpolation 155--161
Michael S. Floater and
Ji\vrí Kosinka On the injectivity of Wachspress and
mean value mappings between convex
polygons . . . . . . . . . . . . . . . . 163--174
Hongwei Sun and
Qiang Wu Regularized least square regression with
dependent samples . . . . . . . . . . . 175--189
John J. Benedetto and
Somantika Datta Construction of infinite unimodular
sequences with zero autocorrelation . . 191--207
Bin Han Symmetric orthonormal complex wavelets
with masks of arbitrarily high
linear-phase moments and sum rules . . . 209--237
Vitaly Maiorov Geometric properties of the ridge
function manifold . . . . . . . . . . . 239--253
M. Calvo and
M. P. Laburta and
J. I. Montijano and
L. Rández Approximate preservation of quadratic
first integrals by explicit Runge--Kutta
methods . . . . . . . . . . . . . . . . 255--274
Xin Li Radial basis approximation and its
application to biharmonic equation . . . 275--302
Serge Nicaise and
Julie Valein Quasi exponential decay of a finite
difference space discretization of the
$1$-d wave equation by pointwise
interior stabilization . . . . . . . . . 303--334
Qiyu Sun Local reconstruction for sampling in
shift-invariant spaces . . . . . . . . . 335--352
Ole Christensen and
Say Song Goh Pairs of oblique duals in spaces of
periodic functions . . . . . . . . . . . 353--379
Peter Alfeld and
Larry L. Schumaker and
Tatyana Sorokina Two condensed macro-elements with full
approximation power . . . . . . . . . . 381--391
Ben-yu Guo and
Tian-jun Wang Composite Laguerre--Legendre spectral
method for exterior problems . . . . . . 393--429
Gradimir V. Milovanovi\'c and
Aleksandar S. Cvetkovi\'c Nonstandard Gaussian quadrature formulae
based on operator values . . . . . . . . 431--486
Song Li and
Yali Pan Subdivision schemes with polynomially
decaying masks . . . . . . . . . . . . . 487--507
Xin Li Radial basis approximation for Newtonian
potentials . . . . . . . . . . . . . . . 1--24
Mingxia Li and
Qun Lin and
Shuhua Zhang Extrapolation and superconvergence of
the Steklov eigenvalue problem . . . . . 25--44
Helmut Pottmann and
Philipp Grohs and
Bernhard Blaschitz Edge offset meshes in Laguerre geometry 45--73
Tao Qian and
Rui Wang and
Yuesheng Xu and
Haizhang Zhang Orthonormal bases with nonlinear phases 75--95
Quan-Wu Xiao and
Zhi-Wei Pan Learning from non-identical sampling for
classification . . . . . . . . . . . . . 97--112
Victor Didenko and
Wee Ping Yeo The spectral radius of matrix continuous
refinement operators . . . . . . . . . . 113--127
Junliang Lv and
Yonghai Li $ L^2 $ error estimate of the finite
volume element methods on quadrilateral
meshes . . . . . . . . . . . . . . . . . 129--148
So-Hsiang Chou and
Do Y. Kwak and
K. T. Wee Optimal convergence analysis of an
immersed interface finite element method 149--168
Kendall Atkinson and
David Chien and
Olaf Hansen A spectral method for elliptic
equations: the Dirichlet problem . . . . 169--189
Luis David Garcia-Puente and
Frank Sottile Linear precision for parametric patches 191--214
Yanzhao Cao and
Zheng Chen and
Max Gunzburger Error analysis of finite element
approximations of the stochastic Stokes
equations . . . . . . . . . . . . . . . 215--230
Rong-Qing Jia and
Hanqing Zhao A fast algorithm for the total variation
model of image denoising . . . . . . . . 231--241
Bernhard Mößner On the joint spectral radius of matrices
of order $2$ with equal spectral radius 243--254
Hong Oh Kim and
Rae Young Kim and
Yeon Ju Lee and
Jungho Yoon Quasi-interpolatory refinable functions
and construction of biorthogonal wavelet
systems . . . . . . . . . . . . . . . . 255--283
Lihui Tan and
Lixin Shen and
Lihua Yang Rational orthogonal bases satisfying the
Bedrosian identity . . . . . . . . . . . 285--303
L. Fermo and
M. G. Russo Numerical methods for Fredholm integral
equations with singular right-hand sides 305--330
Rida T. Farouki Quaternion and Hopf map
characterizations for the existence of
rational rotation-minimizing frames on
quintic space curves . . . . . . . . . . 331--348
Horst Alzer Error function inequalities . . . . . . 349--379
Jin Cheng and
Benny Yiu Chung Hon and
Masahiro Yamamoto Preface to the special issue on inverse
problems . . . . . . . . . . . . . . . . 381--383
Thomas Bonesky and
Stephan Dahlke and
Peter Maass and
Thorsten Raasch Adaptive wavelet methods and sparsity
reconstruction for inverse heat
conduction problems . . . . . . . . . . 385--411
Olha Ivanyshyn and
Rainer Kress and
Pedro Serranho Huygens' principle and iterative methods
in inverse obstacle scattering . . . . . 413--429
Huilin Xu and
Jijun Liu Stable numerical differentiation for the
second order derivatives . . . . . . . . 431--447
Chu-Li Fu and
Zhi Qian Numerical pseudodifferential operator
and Fourier regularization . . . . . . . 449--470
Xiaoyi Hu and
Xiang Xu and
Wenbin Chen Numerical method for the inverse heat
transfer problem in composite materials
with Stefan--Boltzmann conditions . . . 471--489
T. Wei and
D. Y. Zhou Convergence analysis for the Cauchy
problem of Laplace's equation by a
regularized method of fundamental
solutions . . . . . . . . . . . . . . . 491--510
Dinh D\~ung Optimal adaptive sampling recovery . . . 1--41
Thorsten Rohwedder and
Reinhold Schneider and
Andreas Zeiser Perturbed preconditioned inverse
iteration for operator eigenvalue
problems with applications to adaptive
wavelet discretization . . . . . . . . . 43--66
Robert Schaback The missing Wendland functions . . . . . 67--81
Q. T. Le Gia and
E. P. Stephan and
T. Tran Solution to the Neumann problem exterior
to a prolate spheroid by radial basis
functions . . . . . . . . . . . . . . . 83--103
Michael Scheuerer An alternative procedure for selecting a
good value for the parameter $c$ in
RBF-interpolation . . . . . . . . . . . 105--126
Qingtang Jiang Biorthogonal wavelets with $4$-fold
axial symmetry for quadrilateral surface
multiresolution processing . . . . . . . 127--165
Y. C. Hon and
Tomoya Takeuchi Discretized Tikhonov regularization by
reproducing kernel Hilbert space for
backward heat conduction problem . . . . 167--183
Deguang Han and
Pengtong Li and
Wai-Shing Tang Frames and their associated $ H^p_F
$-subspaces . . . . . . . . . . . . . . 185--200
Johannes Wallner and
Esfandiar Nava Yazdani and
Andreas Weinmann Convergence and smoothness analysis of
subdivision rules in Riemannian and
symmetric spaces . . . . . . . . . . . . 201--218
Dana \vCerná and
Václav Fin\vek Construction of optimally conditioned
cubic spline wavelets on the interval 219--252
S. Amat and
K. Dadourian and
J. Liandrat Analysis of a class of nonlinear
subdivision schemes and associated
multiresolution transforms . . . . . . . 253--277
Tao Qian and
Yan-Bo Wang Adaptive Fourier series --- a variation
of greedy algorithm . . . . . . . . . . 279--293
Kendall Atkinson and
Olaf Hansen and
David Chien A spectral method for elliptic
equations: the Neumann problem . . . . . 295--317
V. N. Temlyakov and
Mingrui Yang and
Peixin Ye Greedy approximation with regard to
non-greedy bases . . . . . . . . . . . . 319--337
Debasish Pradhan and
Baskar Shalini and
Neela Nataraj and
Amiya K. Pani A Robin-type non-overlapping domain
decomposition procedure for second order
elliptic problems . . . . . . . . . . . 339--368
C. Anitescu and
U. Banerjee Approximation properties of the
generalized finite element method . . . 369--390
Qiao-Fang Lian and
Yun-Zhang Li Gabor frame sets for subspaces . . . . . 391--411
Robert Calderbank and
Peter G. Casazza and
Andreas Heinecke and
Gitta Kutyniok and
Ali Pezeshki Sparse fusion frames: existence and
construction . . . . . . . . . . . . . . 1--31
Naresh M. Chadha and
Natalia Kopteva Maximum norm a posteriori error estimate
for a $3$ d singularly perturbed
semilinear reaction--diffusion problem 33--55
E. O'Riordan and
M. L. Pickett A parameter-uniform numerical method for
a singularly perturbed two parameter
elliptic problem . . . . . . . . . . . . 57--82
Melody L. Massar and
Matthew Fickus and
Erik Bryan and
Douglas T. Petkie and
Andrew J. Terzuoli, Jr. Fast computation of spectral centroids 83--97
Rafael Bru and
Juan Manuel Peña Preface: numerical and applied linear
algebra . . . . . . . . . . . . . . . . 99--102
Johnathan M. Bardsley and
Sarah Knepper and
James Nagy Structured linear algebra problems in
adaptive optics imaging . . . . . . . . 103--117
Peter Benner and
Heike Faßbender On the numerical solution of large-scale
sparse discrete-time Riccati equations 119--147
Michele Benzi and
Eldad Haber and
Lauren Taralli A preconditioning technique for a class
of PDE-constrained optimization problems 149--173
Dario Andrea Bini and
Bruno Iannazzo A note on computing matrix geometric
means . . . . . . . . . . . . . . . . . 175--192
F. Bünger Minimizing and maximizing the Euclidean
norm of the product of two polynomials 193--215
Costanza Conti and
Luca Gemignani and
Lucia Romani From approximating to interpolatory
non-stationary subdivision schemes with
the same generation properties . . . . . 217--241
Xiaoke Cui and
Ken Hayami and
Jun-Feng Yin Greville's method for preconditioning
least squares problems . . . . . . . . . 243--269
Ljiljana Cvetkovi\'c and
Vladimir Kosti\'c and
Rafael Bru and
Francisco Pedroche A simple generalization of Ger\vsgorin's
theorem . . . . . . . . . . . . . . . . 271--280
Vu Hoang Linh and
Volker Mehrmann and
Erik S. Van Vleck $ Q R $ methods and error analysis for
computing Lyapunov and Sacker--Sell
spectral intervals for linear
differential-algebraic equations . . . . 281--322
Maya Neytcheva and
Erik Bängtsson and
Elisabeth Linnér Finite-element based sparse approximate
inverses for block-factorized
preconditioners . . . . . . . . . . . . 323--355
Juan Manuel Peña Diagonal dominance, Schur complements
and some classes of $H$-matrices and
$P$-matrices . . . . . . . . . . . . . . 357--373
H. De Sterck and
K. Miller and
T. Manteuffel and
G. Sanders Top-level acceleration of adaptive
algebraic multilevel methods for
steady-state solution to Markov chains 375--403
Leslie Greengard and
Michael Shelley Editorial . . . . . . . . . . . . . . . 1--1
Deyue Zhang and
Yukun Guo and
Chengchun Gong and
Guan Wang Numerical analysis for the scattering by
obstacles in a homogeneous chiral
environment . . . . . . . . . . . . . . 3--20
Nikolaos D. Atreas On a class of non-uniform average
sampling expansions and partial
reconstruction in subspaces of $ L_2
(\mathbb {R}) $ . . . . . . . . . . . . 21--38
Sara Remogna Bivariate $ C^2 $ cubic spline
quasi-interpolants on uniform
Powell--Sabin triangulations of a
rectangular domain . . . . . . . . . . . 39--65
Hans G. Feichtinger and
José C. Príncipe and
José Luis Romero and
Alexander Singh Alvarado and
Gino Angelo Velasco Approximate reconstruction of
bandlimited functions for the integrate
and fire sampler . . . . . . . . . . . . 67--78
Jin Huang and
Guang Zeng and
Xiaoming He and
Zi-Cai Li Splitting extrapolation algorithm for
first kind boundary integral equations
with singularities by mechanical
quadrature methods . . . . . . . . . . . 79--97
Bin Zou and
Zongben Xu and
Xiangyu Chang Generalization bounds of ERM algorithm
with $V$-geometrically ergodic Markov
chains . . . . . . . . . . . . . . . . . 99--114
Simon Hubbert Closed form representations for a class
of compactly supported radial basis
functions . . . . . . . . . . . . . . . 115--136
Yang Wang and
Qiang Wu Sparse PCA by iterative elimination
algorithm . . . . . . . . . . . . . . . 137--151
Yuesheng Xu and
Hongqi Yang Preface [Special issue: Numerical
methods for ill-posed problems] . . . . 153--156
Hai-Hua Qin and
David Colton The inverse scattering problem for
cavities with impedance boundary
condition . . . . . . . . . . . . . . . 157--174
Yuping Duan and
Xue-Cheng Tai Domain decomposition methods with graph
cuts algorithms for total variation
minimization . . . . . . . . . . . . . . 175--199
Weifu Fang and
Suxing Zeng Recovery of an interface from boundary
measurement in an elliptic differential
equation . . . . . . . . . . . . . . . . 201--220
Toomas Raus and
Uno Hämarik On the quasi-optimal rules for the
choice of the regularization parameter
in case of a noisy operator . . . . . . 221--233
M. Hintermüller and
A. Laurain and
A. A. Novotny Second-order topological expansion for
electrical impedance tomography . . . . 235--265
Fu-Rong Lin and
Fen Liang Application of high order numerical
quadratures to numerical inversion of
the Laplace transform . . . . . . . . . 267--278
Haibing Wang and
Jijun Liu Recovering the Dirichlet-to-Neumann map
in inverse scattering problems using
integral equation methods . . . . . . . 279--297
Xingjun Luo and
Fanchun Li and
Suhua Yang \em A posteriori parameter choice
strategy for fast multiscale methods
solving ill-posed integral equations . . 299--314
M. Thamban Nair Quadrature based collocation methods for
integral equations of the first kind . . 315--329
Robert Plato The regularizing properties of the
composite trapezoidal method for weakly
singular Volterra integral equations of
the first kind . . . . . . . . . . . . . 331--351
Y. F. Wang Preconditioning non-monotone gradient
methods for retrieval of seismic
reflection signals . . . . . . . . . . . 353--376
G. H. Zheng and
T. Wei A new regularization method for a Cauchy
problem of the time fractional diffusion
equation . . . . . . . . . . . . . . . . 377--398
Qiyu Sun and
Michael Unser Left-inverses of fractional Laplacian
and sparse stochastic processes . . . . 399--441
Yidu Yang and
Qun Lin and
Hai Bi and
Qin Li Eigenvalue approximations from below
using Morley elements . . . . . . . . . 443--450
Kerstin Hesse and
Robert S. Womersley Numerical integration with polynomial
exactness over a spherical cap . . . . . 451--483
Guohui Song and
John Riddle and
Gregory E. Fasshauer and
Fred J. Hickernell Multivariate interpolation with
increasingly flat radial basis functions
of finite smoothness . . . . . . . . . . 485--501
Lianhua He and
Lutz Tobiska The two-level local projection
stabilization as an enriched one-level
approach . . . . . . . . . . . . . . . . 503--523
Ole Christensen and
Hong Oh Kim and
Rae Young Kim Gabor windows supported on $ [ - 1, 1] $
and dual windows with small support . . 525--545
Jean-Louis Merrien and
Tomas Sauer From Hermite to stationary subdivision
schemes in one and several variables . . 547--579
Torsten Linß and
Hans-Görg Roos and
Martin Schopf Nitsche-mortaring for singularly
perturbed convection--diffusion problems 581--603
Dinh D\~ung Erratum to: Optimal adaptive sampling
recovery [MR2783300] . . . . . . . . . . 605--606
Yong-gang Yi and
Ben-yu Guo Generalized Jacobi rational spectral
method on the half line . . . . . . . . 1--37
R. Hiptmair and
C. Jerez-Hanckes Multiple traces boundary integral
formulation for Helmholtz transmission
problems . . . . . . . . . . . . . . . . 39--91
Duong Pham and
Thanh Tran and
Simon Crothers An overlapping additive Schwarz
preconditioner for the Laplace--Beltrami
equation using spherical splines . . . . 93--121
Ga\vsper Jakli\vc and
Jernej Kozak and
Marjeta Krajnc and
Vito Vitrih and
Emil \vZagar An approach to geometric interpolation
by Pythagorean-hodograph curves . . . . 123--150
Allal Guessab and
María Moncayo and
Gerhard Schmeisser A class of nonlinear four-point
subdivision schemes . . . . . . . . . . 151--190
Zhongying Chen and
Junfeng Wu and
Yuesheng Xu Higher-order finite volume methods for
elliptic boundary value problems . . . . 191--253
Gustavo Garrigós and
Eugenio Hernández and
Maria de Natividade Democracy functions and optimal
embeddings for approximation spaces . . 255--283
T. Hangelbroek On local RBF approximation . . . . . . . 285--299
Ole Christensen and
Peter Massopust Exponential B-splines and the partition
of unity property . . . . . . . . . . . 301--318
Ming Cui and
Zhangxin Chen and
Richard E. Ewing and
Guan Qin and
Hongsen Chen Reliable and efficient error control for
an adaptive Galerkin-characteristic
method for convection-dominated
diffusion problems . . . . . . . . . . . 319--353
Yiming Ying and
Qiang Wu and
Colin Campbell Learning the coordinate gradients . . . 355--378
Manuel Gräf A unified approach to scattered data
approximation on $ \mathbb {S}^3 $ and $
{\rm SO}(3) $ . . . . . . . . . . . . . 379--392
Junliang Lv and
Yonghai Li $ L^2 $ error estimates and
superconvergence of the finite volume
element methods on quadrilateral meshes 393--416
Andrew Gillette and
Alexander Rand and
Chandrajit Bajaj Error estimates for generalized
barycentric interpolation . . . . . . . 417--439
Yi Shen and
Song Li Restricted $p$-isometry property and its
application for nonconvex compressive
sensing . . . . . . . . . . . . . . . . 441--452
Qinghui Zhang and
Uday Banerjee Numerical integration in Galerkin
meshless methods, applied to elliptic
Neumann problem with non-constant
coefficients . . . . . . . . . . . . . . 453--492
Entao Liu and
Vladimir N. Temlyakov Super greedy type algorithms . . . . . . 493--504
Jameson Cahill and
Shidong Li Dimension invariance of finite frames of
translates and Gabor frames . . . . . . 505--520
Fangfang Dong and
Chunxiao Liu and
De-Xing Kong A fast algorithm for image segmentation
based on fuzzy region competition . . . 521--542
Y. C. Hon and
R. Schaback Solving the $3$D Laplace equation by
meshless collocation via harmonic
kernels . . . . . . . . . . . . . . . . 1--19
Xudong Sun and
Wenchang Sun Inversion formula for the windowed
Fourier transform, II . . . . . . . . . 21--34
María José Cantero and
Arieh Iserles On expansions in orthogonal polynomials 35--61
Rida T. Farouki and
Carlotta Giannelli and
Alessandra Sestini An interpolation scheme for designing
rational rotation-minimizing camera
motions . . . . . . . . . . . . . . . . 63--82
Hongtao Chen and
Qun Lin and
Junming Zhou and
Hong Wang Uniform error estimates for triangular
finite element solutions of
advection--diffusion equations . . . . . 83--100
Zhijian Rong and
Li-Lian Wang and
Xue-Cheng Tai Adaptive wavelet collocation methods for
image segmentation using TV--Allen--Cahn
type models . . . . . . . . . . . . . . 101--131
Sergio Amat and
Jacques Liandrat Nonlinear thresholding of
multiresolution decompositions adapted
to the presence of discontinuities . . . 133--146
L. Ephremidze and
A. Gamkrelidze and
E. Lagvilava An approximation of Daubechies wavelet
matrices by perfect reconstruction
filter banks with rational coefficients 147--158
Sumi Jang and
Byeongseon Jeong and
Hong Oh Kim Compactly supported multiwindow dual
Gabor frames of rational sampling
density . . . . . . . . . . . . . . . . 159--186
Zongmin Wu and
Xingping Sun and
Limin Ma Sampling scattered data with Bernstein
polynomials: stochastic and
deterministic error estimates . . . . . 187--205
Zheng-Chu Guo and
Ding-Xuan Zhou Concentration estimates for learning
with unbounded sampling . . . . . . . . 207--223
Huajie Chen and
Xingao Gong and
Lianhua He and
Zhang Yang and
Aihui Zhou Numerical analysis of finite dimensional
approximations of Kohn--Sham models . . 225--256
Jin Huang and
Zhu Wang and
Rui Zhu Asymptotic error expansions for
hypersingular integrals . . . . . . . . 257--279
Jian Li and
Zhangxin Chen On the semi-discrete stabilized finite
volume method for the transient
Navier--Stokes equations . . . . . . . . 281--320
Nira Dyn and
Maria Skopina Decompositions of trigonometric
polynomials with applications to
multivariate subdivision schemes . . . . 321--349
Gerard Awanou Rectangular mixed elements for
elasticity with weakly imposed symmetry
condition . . . . . . . . . . . . . . . 351--367
Jinsong Leng and
Deguang Han Orthogonal projection decomposition of
matrices and construction of fusion
frames . . . . . . . . . . . . . . . . . 369--381
Tina Bosner and
Mladen Rogina Variable degree polynomial splines are
Chebyshev splines . . . . . . . . . . . 383--400
Charles A. Micchelli and
Lixin Shen and
Yuesheng Xu and
Xueying Zeng Proximity algorithms for the L1/TV image
denoising model . . . . . . . . . . . . 401--426
Jianqiang Liu and
Charles A. Micchelli and
Rui Wang and
Yuesheng Xu Finite rank kernels for multi-task
learning . . . . . . . . . . . . . . . . 427--439
Charles A. Micchelli and
Tao Zhao On discrete $ \ell^1 $-regularization 441--454
Charles A. Micchelli and
Jean M. Morales and
Massimiliano Pontil Regularizers for structured sparsity . . 455--489
Youfa Li and
Shouzhi Yang and
Dehui Yuan Bessel multiwavelet sequences and dual
multiframelets in Sobolev spaces . . . . 491--529
Philipp Grohs Refinable functions for dilation
families . . . . . . . . . . . . . . . . 531--561
Shih-sen Chang and
H. W. Joseph Lee and
Chi Kin Chan A block hybrid method for solving
generalized equilibrium problems and
convex feasibility problem . . . . . . . 563--580
Dale W. Struble The construction of wavelets adapted to
compact domains . . . . . . . . . . . . 581--600
Charles A. Micchelli and
Jianzhong Wang and
Yi Wang On an asymptotic analysis of polynomial
approximation to halfband filters . . . 601--622
Charles A. Micchelli and
Yuesheng Xu and
Bo Yu On computing with the Hilbert spline
transform . . . . . . . . . . . . . . . 623--646
Byeongseon Jeong and
Hong Oh Kim and
Yeon Ju Lee and
Jungho Yoon Exponential polynomial reproducing
property of non-stationary symmetric
subdivision schemes and normalized
exponential B-splines . . . . . . . . . 647--666
B. ng Công V\~u A splitting algorithm for dual monotone
inclusions involving cocoercive
operators . . . . . . . . . . . . . . . 667--681
Kyung Soo Rim and
Beong In Yun Gibbs phenomenon removal by adding
Heaviside functions . . . . . . . . . . 683--699
Jorge Delgado and
Juan Manuel Peña On the evaluation of rational triangular
Bézier surfaces and the optimal stability
of the basis . . . . . . . . . . . . . . 701--721
Dao-Hong Xiang Conditional quantiles with varying
Gaussians . . . . . . . . . . . . . . . 723--735
Doug Cochran and
Anne Gelb and
Yang Wang Edge detection from truncated Fourier
data using spectral mollifiers . . . . . 737--762
Yun-Zhang Li and
Qiao-Fang Lian Super Gabor frames on discrete periodic
sets . . . . . . . . . . . . . . . . . . 763--799
El Hadji S. Diop and
Radjesvarane Alexandre and
Valérie Perrier A PDE based and interpolation-free
framework for modeling the sifting
process in a continuous domain . . . . . 801--835
Yunhai Xiao and
Soon-Yi Wu and
Dong-Hui Li Splitting and linearizing augmented
Lagrangian algorithm for subspace
recovery from corrupted observations . . 837--858
Chuan-Long Wang and
Guo-Yan Meng and
Xue-Rong Yong Modified parallel multisplitting
iterative methods for non-Hermitian
positive definite systems . . . . . . . 859--872
John Paul Ward $ L^p $ error estimates for
approximation by Sobolev splines and
Wendland functions on $ \mathbb {R}^d $ 873--889
Gregory E. Fasshauer and
Qi Ye Reproducing kernels of Sobolev spaces
via a green kernel approach with
differential operators and boundary
operators . . . . . . . . . . . . . . . 891--921
Michael J. Johnson The role of inner summaries in the fast
evaluation of thin-plate splines . . . . 1--25
Paul Leopardi Discrepancy, separation and Riesz energy
of finite point sets on the unit sphere 27--43
Weicai Ye and
Yongdong Zhang A fast solver for integral equations
with convolution-type kernel . . . . . . 45--67
Nupur Gupta and
Neela Nataraj \em A posteriori error estimates for an
optimal control problem of laser surface
hardening of steel . . . . . . . . . . . 69--99
Mourad E. H. Ismail and
Plamen Simeonov Asymptotics of generalized derangements 101--127
Mira Bozzini and
Milvia Rossini and
Robert Schaback Generalized Whittle--Matérn and
polyharmonic kernels . . . . . . . . . . 129--141
J. Li and
O. Gonzalez Convergence and conditioning of a Nyström
method for Stokes flow in exterior
three-dimensional domains . . . . . . . 143--174
Jonathan A. Sherratt Numerical continuation of boundaries in
parameter space between stable and
unstable periodic travelling wave
(wavetrain) solutions of partial
differential equations . . . . . . . . . 175--192
M. Floater and
C. Beccari and
T. Cashman and
L. Romani A smoothness criterion for
monotonicity-preserving subdivision . . 193--204
Roberto Garrappa and
Marina Popolizio Evaluation of generalized Mittag-Leffler
functions on the real line . . . . . . . 205--225
Kanghui Guo and
Demetrio Labate Optimal recovery of $3$D X-ray
tomographic data via shearlet
decomposition . . . . . . . . . . . . . 227--255
Chuan-Long Wang and
Guo-Yan Meng and
Yan-Hong Bai Practical convergent splittings and
acceleration methods for non-Hermitian
positive definite linear systems . . . . 257--271
Ana C. Conceição and
Viktor G. Kravchenko and
José C. Pereira Computing some classes of Cauchy type
singular integrals with \em Mathematica
software . . . . . . . . . . . . . . . . 273--288
Francesc Ar\`andiga and
Antonio Baeza and
Dionisio F. Yáñez A new class of non-linear monotone
Hermite interpolants . . . . . . . . . . 289--309
Matthias Dehmer and
Martin Grabner and
Abbe Mowshowitz and
Frank Emmert-Streib An efficient heuristic approach to
detecting graph isomorphism based on
combinations of highly discriminating
invariants . . . . . . . . . . . . . . . 311--325
Alexander Rand and
Andrew Gillette and
Chandrajit Bajaj Interpolation error estimates for mean
value coordinates over convex polygons 327--347
José L. López and
Nico M. Temme New series expansions of the Gauss
hypergeometric function . . . . . . . . 349--365
J. M. Melenk and
C. Xenophontos and
L. Oberbroeckling Analytic regularity for a singularly
perturbed system of reaction--diffusion
equations with multiple scales . . . . . 367--394
Costanza Conti and
Luca Gemignani and
Lucia Romani A constructive algebraic strategy for
interpolatory subdivision schemes
induced by bivariate box splines . . . . 395--424
Davide Baroli and
Alfio Quarteroni and
Ricardo Ruiz-Baier Convergence of a stabilized
discontinuous Galerkin method for
incompressible nonlinear elasticity . . 425--443
Hongqiang Zhu and
Jianxian Qiu An $h$-adaptive RKDG method with
troubled-cell indicator for
two-dimensional hyperbolic conservation
laws . . . . . . . . . . . . . . . . . . 445--463
Tristan A. Hearn and
Lothar Reichel Extensions of the Justen--Ramlau blind
deconvolution method . . . . . . . . . . 465--491
Zheng-Chu Guo and
Lei Shi Learning with coefficient-based
regularization and $ \ell^1 $-penalty 493--510
Kareem T. Elgindy and
Kate A. Smith-Miles On the optimization of Gegenbauer
operational matrix of integration . . . 511--524
Carmen Escribano and
Antonio Giraldo and
M. Asunción Sastre and
Emilio Torrano The Hessenberg matrix and the Riemann
mapping function . . . . . . . . . . . . 525--545
V. Domínguez and
M. Ganesh Interpolation and cubature
approximations and analysis for a class
of wideband integrals on the sphere . . 547--584
Matthew Fickus and
Dustin G. Mixon and
Miriam J. Poteet and
Nate Strawn Constructing all self-adjoint matrices
with prescribed spectrum and diagonal 585--609
Junmin Xiao and
Qiya Hu Multilevel correction for collocation
solutions of Volterra integral equations
with proportional delays . . . . . . . . 611--644
Armin Lechleiter and
Dinh-Liem Nguyen A trigonometric Galerkin method for
volume integral equations arising in TM
grating scattering . . . . . . . . . . . 1--25
Lindsay N. Smith and
Matthew Fickus Determining angular frequency from
images of rotating objects via a
generalized Fast Fourier Transform . . . 27--47
Karlheinz Gröchenig and
Elmar Pauwels Uniqueness and reconstruction theorems
for pseudodifferential operators with a
bandlimited Kohn--Nirenberg symbol . . . 49--63
Jaroslav Haslinger and
Radek Ku\vcera and
Julien Riton and
Taoufik Sassi A domain decomposition method for
two-body contact problems with Tresca
friction . . . . . . . . . . . . . . . . 65--90
Boris I. Kvasov Monotone and convex interpolation by
weighted quadratic splines . . . . . . . 91--116
Larry L. Schumaker and
Hendrik Speleers Convexity preserving $ C^0 $ splines . . 117--135
Lijing Zhao and
Weihua Deng Jacobian-predictor--corrector approach
for fractional differential equations 137--165
Cristian Arteaga and
Isabel Marrero Direct form seminorms arising in the
theory of interpolation by Hankel
translates of a basis function . . . . . 167--183
A. Chernih and
I. H. Sloan and
R. S. Womersley Wendland functions with increasing
smoothness converge to a Gaussian . . . 185--200
Qiya Hu and
Long Yuan A Newton-penalty method for a simplified
liquid crystal model . . . . . . . . . . 201--244
S. Hao and
A. H. Barnett and
P. G. Martinsson and
P. Young High-order accurate methods for Nyström
discretization of integral equations on
smooth curves in the plane . . . . . . . 245--272
Hans G. Feichtinger and
Darian M. Onchis and
Christoph Wiesmeyr Construction of approximate dual wavelet
frames . . . . . . . . . . . . . . . . . 273--282
S. Sommer and
F. Lauze and
M. Nielsen Optimization over geodesics for exact
principal geodesic analysis . . . . . . 283--313
Jakob Lemvig and
Christopher Miller and
Kasso A. Okoudjou Prime tight frames . . . . . . . . . . . 315--334
Peter G. Casazza and
Jesse Peterson Weighted fusion frame construction via
spectral tetris . . . . . . . . . . . . 335--351
Quoc Thong Le Gia and
William McLean Solving the heat equation on the unit
sphere via Laplace transforms and radial
basis functions . . . . . . . . . . . . 353--375
Ben-Yu Guo and
Zhong-Qing Wang A collocation method for generalized
nonlinear Klein--Gordon equation . . . . 377--398
Tie Zhang Superconvergence of finite volume
element method for elliptic problems . . 399--413
Qiyu Sun Localized nonlinear functional equations
and two sampling problems in signal
processing . . . . . . . . . . . . . . . 415--458
Carlotta Giannelli and
Bert Jüttler and
Hendrik Speleers Strongly stable bases for adaptively
refined multilevel spline spaces . . . . 459--490
Eleanor W. Jenkins and
Volker John and
Alexander Linke and
Leo G. Rebholz On the parameter choice in grad--div
stabilization for the Stokes equations 491--516
Lei Shi and
Xiaolin Huang and
Zheng Tian and
Johan A. K. Suykens Quantile regression with $ \ell_1
$-regularization and Gaussian kernels 517--551
Raffaele D'Ambrosio and
Giuseppe De Martino and
Beatrice Paternoster Numerical integration of Hamiltonian
problems by G-symplectic methods . . . . 553--575
Mary Catherine A. Kropinski and
Nilima Nigam Fast integral equation methods for the
Laplace--Beltrami equation on the sphere 577--596
Peter Maass and
Chen Sagiv and
Hans-Georg Stark and
Bruno Torresani Signal representation, uncertainty
principles and localization measures . . 597--607
R. Levie and
H.-G. Stark and
F. Lieb and
N. Sochen Adjoint translation, adjoint observable
and uncertainty principles . . . . . . . 609--627
Benjamin Ricaud and
Bruno Torrésani A survey of uncertainty principles and
some signal processing applications . . 629--650
Hans G. Feichtinger and
Anna Grybos and
Darian M. Onchis Approximate dual Gabor atoms via the
adjoint lattice method . . . . . . . . . 651--665
Jan Hendrik Kobarg and
Peter Maass and
Janina Oetjen and
Oren Tropp and
Eyal Hirsch and
Chen Sagiv and
Mohammad Golbabaee and
Pierre Vandergheynst Numerical experiments with MALDI Imaging
data . . . . . . . . . . . . . . . . . . 667--682
Benjamin Ricaud and
Guillaume Stempfel and
Bruno Torrésani and
Christoph Wiesmeyr and
Hél\`ene Lachambre and
Darian Onchis An optimally concentrated Gabor
transform for localized time-frequency
components . . . . . . . . . . . . . . . 683--702
Darian M. Onchis Optimized frames and multi-dimensional
challenges in time-frequency analysis 703--709
Galina C. García and
Takéo Takahashi Numerical observers with vanishing
viscosity for the $1$ d wave equation 711--745
Gang Li and
Jianxian Qiu Hybrid WENO schemes with different
indicators on curvilinear grids . . . . 747--772
Adrianna Gillman and
Per-Gunnar Martinsson An $ O(N) $ algorithm for constructing
the solution operator to $2$D elliptic
boundary value problems in the absence
of body loads . . . . . . . . . . . . . 773--796
Jikun Zhao and
Shaochun Chen Robust a posteriori error estimates for
conforming discretizations of a
singularly perturbed reaction--diffusion
problem on anisotropic meshes . . . . . 797--818
Karol Mikula and
Jozef Urbán A new tangentially stabilized $3$D curve
evolution algorithm and its application
in virtual colonoscopy . . . . . . . . . 819--837
Lyle Noakes Minimum $ L^\infty $ accelerations in
Riemannian manifolds . . . . . . . . . . 839--863
Mohammad Khorsand Zak and
Faezeh Toutounian Nested splitting CG-like iterative
method for solving the continuous
Sylvester equation and preconditioning 865--880
Da Xu The long time error analysis in the
second order difference type method of
an evolutionary integral equation with
completely monotonic kernel . . . . . . 881--922
Q. T. Le Gia and
H. Wendland Data compression on the sphere using
multiscale radial basis function
approximation . . . . . . . . . . . . . 923--943
Michele Antonelli and
Carolina Vittoria Beccari and
Giulio Casciola A general framework for the construction
of piecewise-polynomial local
interpolants of minimum degree . . . . . 945--976
Lucia Romani and
Laura Saini and
Gudrun Albrecht Algebraic--trigonometric
Pythagorean-hodograph curves and their
use for Hermite interpolation . . . . . 977--1010
Pedro G. Massey and
Mariano A. Ruiz and
Demetrio Stojanoff Optimal frame completions . . . . . . . 1011--1042
Saumya Bajpai and
Neela Nataraj and
Amiya K. Pani On a two-grid finite element scheme for
the equations of motion arising in
Kelvin--Voigt model . . . . . . . . . . 1043--1071
M. Lyon and
J. Picard The Fourier approximation of smooth but
non-periodic functions from unevenly
spaced data . . . . . . . . . . . . . . 1073--1092
Rodolfo Araya and
Abner H. Poza and
Frédéric Valentin An adaptive residual local projection
finite element method for the
Navier--Stokes equations . . . . . . . . 1093--1119
Víctor Domínguez and
Sijiang L. Lu and
Francisco-Javier Sayas A Nyström method for the two dimensional
Helmholtz hypersingular equation . . . . 1121--1157
Roberto Bilato and
Omar Maj and
Marco Brambilla An algorithm for fast Hilbert transform
of real functions . . . . . . . . . . . 1159--1168
Bengt Fornberg and
Jordan M. Martel On spherical harmonics based numerical
quadrature over the surface of a sphere 1169--1184
Silas Alben Bending of bilayers with general initial
shapes . . . . . . . . . . . . . . . . . 1--22
Edward Fuselier and
Grady B. Wright Order-preserving derivative
approximation with periodic radial basis
functions . . . . . . . . . . . . . . . 23--53
Vladimir Kosti\'c On general principles of eigenvalue
localizations via diagonal dominance . . 55--75
Alexey Chernov and
Duong Pham Sparse tensor product spectral Galerkin
BEM for elliptic problems with random
input data on a spheroid . . . . . . . . 77--104
D. S. Almeida Júnior and
A. J. A. Ramos and
M. L. Santos Observability inequality for the
finite-difference semi-discretization of
the $1$-d coupled wave equations . . . . 105--130
Zhiyuan Sun and
Yuling Jiao and
Bangti Jin and
Xiliang Lu Numerical identification of a sparse
Robin coefficient . . . . . . . . . . . 131--148
Tong Zhang and
Damazio Pedro and
JinYun Yuan A large time stepping
viscosity-splitting finite element
method for the viscoelastic flow problem 149--190
Kamen Ivanov and
Pencho Petrushev Fast memory efficient evaluation of
spherical polynomials at scattered
points . . . . . . . . . . . . . . . . . 191--230
M. Calvo and
M. P. Laburta and
J. I. Montijano and
L. Rández Runge--Kutta projection methods with low
dispersion and dissipation errors . . . 231--251
Pawe\l Pilarczyk and
Pedro Real Computation of cubical homology,
cohomology, and (co)homological
operations via chain contraction . . . . 253--275
Mira Bozzini and
Milvia Rossini and
Robert Schaback and
Elena Volont\`e Radial kernels via scale derivatives . . 277--291
Monika Dörfler and
Ewa Matusiak Nonstationary Gabor frames ---
approximately dual frames and
reconstruction errors . . . . . . . . . 293--316
Bernhard G. Bodmann and
Nathaniel Hammen Stable phase retrieval with
low-redundancy frames . . . . . . . . . 317--331
Robert Schaback A computational tool for comparing all
linear PDE solvers: error-optimal
methods are meshless . . . . . . . . . . 333--355
Jeff Ledford On the convergence of regular families
of cardinal interpolators . . . . . . . 357--371
J. M. Carnicer and
C. Godés A Newton formula for generalized
Berzolari--Radon sets . . . . . . . . . 373--386
Qia Li and
Lixin Shen and
Yuesheng Xu and
Na Zhang Multi-step fixed-point proximity
algorithms for solving a class of
optimization problems arising from image
processing . . . . . . . . . . . . . . . 387--422
Yiqiu Dong and
Torsten Görner and
Stefan Kunis An algorithm for total variation
regularized photoacoustic imaging . . . 423--438
Ali W. K. Sangawi Straight slits map and its inverse of
bounded multiply connected regions . . . 439--455
Alfio Borz\`\i and
Sergio González Andrade Second-order approximation and fast
multigrid solution of parabolic bilinear
optimization problems . . . . . . . . . 457--488
Ji\vrí Kosinka and
Michael Barto\vn Convergence of Wachspress coordinates:
from polygons to curved domains . . . . 489--505
Maria Charina and
Geir Dahl Subdivision schemes, network flows and
linear optimization . . . . . . . . . . 507--528
Shidong Jiang and
Leslie Greengard and
Shaobo Wang Efficient sum-of-exponentials
approximations for the heat kernel and
their applications . . . . . . . . . . . 529--551
Douglas N. Arnold and
Gerard Awanou and
Weifeng Qiu Mixed finite elements for elasticity on
quadrilateral meshes . . . . . . . . . . 553--572
Shuhuang Xiang and
Guo He and
Yeol Je Cho On error bounds of
Filon--Clenshaw--Curtis quadrature for
highly oscillatory integrals . . . . . . 573--597
Gustavo Buscaglia and
Vitoriano Ruas Approximation of the multi-dimensional
Stokes system with embedded pressure
discontinuities . . . . . . . . . . . . 599--634
Robert D. Guy and
Bobby Philip and
Boyce E. Griffith Geometric multigrid for an implicit-time
immersed boundary method . . . . . . . . 635--662
Ratikanta Behera and
Mani Mehra and
N. K.-R. Kevlahan Multilevel approximation of the gradient
operator on an adaptive spherical
geodesic grid . . . . . . . . . . . . . 663--689
Johan Helsing and
Anders Holst Variants of an explicit kernel-split
panel-based Nyström discretization scheme
for Helmholtz boundary value problems 691--708
Mariantonia Cotronei and
Daniele Ghisi and
Milvia Rossini and
Tomas Sauer An anisotropic directional
multiresolution and subdivision scheme 709--726
V. V. Zozulya Regularization of divergent integrals: a
comparison of the classical and
generalized-functions approaches . . . . 727--780
Tie Zhang and
Lixin Tang A stabilized finite volume method for
Stokes equations using the lowest order
$ P_1 $--$ P_0 $ element pair . . . . . 781--798
Hehu Xie and
Xiaobo Yin Acceleration of stabilized finite
element discretizations for the Stokes
eigenvalue problem . . . . . . . . . . . 799--812
Jernej Kozak and
Marjeta Krajnc and
Vito Vitrih Parametric curves with Pythagorean
binormal . . . . . . . . . . . . . . . . 813--832
Mohammad Asadzadeh and
Piotr Kowalczyk Convergence analysis for backward-Euler
and mixed discontinuous Galerkin methods
for the Vlasov--Poisson system . . . . . 833--852
Wei Zhu Simulation of liquid crystal elastomers
using Chebyshev spectral method with a
new preconditioner . . . . . . . . . . . 853--879
Pierluigi Amodio and
Luigi Brugnano and
Felice Iavernaro Energy-conserving methods for
Hamiltonian boundary value problems and
applications in astrodynamics . . . . . 881--905
Gerard Awanou Pseudo transient continuation and time
marching methods for Monge--Amp\`ere
type equations . . . . . . . . . . . . . 907--935
Haibiao Zheng and
Lina Song and
Yanren Hou and
Yuhong Zhang The partition of unity parallel finite
element algorithm . . . . . . . . . . . 937--951
V. V. Zozulya RETRACTED ARTICLE: Regularization of
Divergent Integrals: An Approach Using
Generalized Functions . . . . . . . . . 953--953
Peter Benner and
Mario Ohlberger and
Anthony T. Patera and
Gianluigi Rozza and
Danny C. Sorensen and
Karsten Urban Model order reduction of parameterized
systems (MoRePaS): Preface to the
special issue of advances in
computational mathematics . . . . . . . 955--960
Fabien Casenave and
Alexandre Ern and
Tony Leli\`evre A nonintrusive reduced basis method
applied to aeroacoustic simulations . . 961--986
Magnus Redeker and
Bernard Haasdonk A POD--EIM reduced two-scale model for
crystal growth . . . . . . . . . . . . . 987--1013
Alexander Sommer and
Ortwin Farle and
Romanus Dyczij-Edlinger A fast certified parametric
near-field-to-far-field transformation
technique for electrically large antenna
arrays . . . . . . . . . . . . . . . . . 1015--1034
Volker Schauer and
Christian Linder The reduced basis method in all-electron
calculations with finite elements . . . 1035--1047
Michael Fischer and
Peter Eberhard Application of parametric model
reduction with matrix interpolation for
simulation of moving loads in elastic
multibody systems . . . . . . . . . . . 1049--1072
Alessandro Alla and
Stefan Volkwein Asymptotic stability of POD based model
predictive control for a semilinear
parabolic PDE . . . . . . . . . . . . . 1073--1102
Jean-Frédéric Gerbeau and
Damiano Lombardi and
Elisa Schenone Reduced order model in cardiac
electrophysiology with approximated Lax
pairs . . . . . . . . . . . . . . . . . 1103--1130
Immanuel Martini and
Gianluigi Rozza and
Bernard Haasdonk Reduced basis approximation and
a-posteriori error estimation for the
coupled Stokes--Darcy system . . . . . . 1131--1157
Bernhard Wieland Implicit partitioning methods for
unknown parameter sets: in the context
of the reduced basis method . . . . . . 1159--1186
David Amsallem and
Matthew J. Zahr and
Kyle Washabaugh Fast local reduced basis updates for the
efficient reduction of nonlinear systems
with hyper-reduction . . . . . . . . . . 1187--1230
Peter Benner and
Sara Grundel and
Nils Hornung Parametric model order reduction with a
small $ \mathcal {H}_2 $-error using
radial basis functions . . . . . . . . . 1231--1253
Andrea Manzoni and
Federico Negri Heuristic strategies for the
approximation of stability factors in
quadratically nonlinear parametrized
PDEs . . . . . . . . . . . . . . . . . . 1255--1288
Omer San and
Traian Iliescu A stabilized proper orthogonal
decomposition reduced-order model for
large scale quasigeostrophic ocean
circulation . . . . . . . . . . . . . . 1289--1319
Nguyen Thanh Son and
Tatjana Stykel Model order reduction of parameterized
circuit equations based on interpolation 1321--1342
Christian Himpe and
Mario Ohlberger Data-driven combined state and parameter
reduction for inverse problems . . . . . 1343--1364
Benjamin Peherstorfer and
Pablo Gómez and
Hans-Joachim Bungartz Reduced models for sparse grid
discretizations of the multi-asset
Black--Scholes equation . . . . . . . . 1365--1389
Sina Ober-Blöbaum and
Nils Saake Construction and analysis of higher
order Galerkin variational integrators 1391--1422
Niall Madden and
Stephen Russell A multiscale sparse grid finite element
method for a two-dimensional singularly
perturbed reaction--diffusion problem 1423--1450
Ronald W. Butler and
Andrew T. A. Wood Laplace approximation of Lauricella
functions $ F_A $ and $ F_D $ . . . . . 1451--1473
Xiaogang Xiong and
Ryo Kikuuwe and
Motoji Yamamoto Implicit Euler simulation of
one-dimensional Burridge--Knopoff model
of earthquakes with set-valued friction
laws . . . . . . . . . . . . . . . . . . 1475--1493
Pengzhan Huang and
Xinlong Feng and
Yinnian He An efficient two-step algorithm for the
incompressible flow problem . . . . . . 1495--1513
Mathieu Collowald and
Annie Cuyt and
Evelyne Hubert and
Wen-Shin Lee and
Oliver Salazar Celis Numerical reconstruction of convex
polytopes from directional moments . . . 1515--1535
Lasse Hjuler Christiansen Pairs of dual Gabor frames generated by
functions of Hilbert--Schmidt type . . . 1537--1554
Christian Kruschel and
Dirk A. Lorenz Computing and analyzing recoverable
supports for sparse reconstruction . . . 1555--1580
T. Witkowski and
S. Ling and
S. Praetorius and
A. Voigt Software concepts and numerical
algorithms for a scalable adaptive
parallel finite element method . . . . . 1581--1613
N. Chaulet and
H. Haddar Electromagnetic inverse shape problem
for coated obstacles . . . . . . . . . . 1615--1641
Ping-Fan Dai A note on diagonal dominance, Schur
complements and some classes of
$H$-matrices and $P$-matrices . . . . . 1--4
Ioan R. Ionescu and
Oana Lupa\cscu Modeling shallow avalanche onset over
complex basal topography . . . . . . . . 5--26
Hongjin He and
Deren Han A distributed Douglas--Rachford
splitting method for multi-block convex
minimization problems . . . . . . . . . 27--53
Dirk Nuyens and
Gowri Suryanarayana and
Markus Weimar Rank-$1$ lattice rules for multivariate
integration in spaces of
permutation-invariant functions: error
bounds and tractability . . . . . . . . 55--84
Arnaud Münch and
Diego A. Souza A mixed formulation for the direct
approximation of $ L^2 $-weighted
controls for the linear heat equation 85--125
Hartmut Führ Vanishing moment conditions for wavelet
atoms in higher dimensions . . . . . . . 127--153
Junping Wang and
Xiu Ye A weak Galerkin finite element method
for the Stokes equations . . . . . . . . 155--174
Zydrunas Gimbutas and
Leslie Greengard A fast multipole method for the
evaluation of elastostatic fields in a
half-space with zero normal stress . . . 175--198
Rida T. Farouki and
Carlotta Giannelli and
Alessandra Sestini Local modification of
Pythagorean-hodograph quintic spline
curves using the B-spline form . . . . . 199--225
Anna-Karin Tornberg The Ewald sums for singly, doubly and
triply periodic electrostatic systems 227--248
Zuzana Krivá and
Angela Handlovi\vcová and
Karol Mikula Adaptive cell-centered finite volume
method for diffusion equations on a
consistent quadtree grid . . . . . . . . 249--277
Kin Tat Ho and
Lok Ming Lui QCMC: quasi-conformal parameterizations
for multiply-connected domains . . . . . 279--312
Håkon Marthinsen and
Brynjulf Owren Geometric integration of non-autonomous
linear Hamiltonian problems . . . . . . 313--332
P. Grohs and
S. Hosseini $ \varepsilon $-subgradient algorithms
for locally Lipschitz functions on
Riemannian manifolds . . . . . . . . . . 333--360
Jeonghun J. Lee Towards a unified analysis of mixed
methods for elasticity with weakly
symmetric stress . . . . . . . . . . . . 361--376
Kassem Mustapha and
Maher Nour and
Bernardo Cockburn Convergence and superconvergence
analyses of HDG methods for time
fractional diffusion problems . . . . . 377--393
Mira Birem and
Christian Klein Multidomain spectral method for
Schrödinger equations . . . . . . . . . . 395--423
Lijing Zhao and
Weihua Deng High order finite difference methods on
non-uniform meshes for space fractional
operators . . . . . . . . . . . . . . . 425--468
M. C. Kropinski and
N. Nigam and
B. Quaife Integral equation methods for the
Yukawa--Beltrami equation on the sphere 469--488
Ole Christensen and
Hong Oh Kim and
Rae Young Kim On extensions of wavelet systems to dual
pairs of frames . . . . . . . . . . . . 489--503
Gang Wu and
Lu Zhang and
Ting-ting Xu A framework of the harmonic Arnoldi
method for evaluating $ \varphi
$-functions with applications to
exponential integrators . . . . . . . . 505--541
Can Li and
Weihua Deng High order schemes for the tempered
fractional diffusion equations . . . . . 543--572
Casey L. Richardson and
Laurent Younes Metamorphosis of images in reproducing
kernel Hilbert spaces . . . . . . . . . 573--603
Odysseas Kosmas and
Sigrid Leyendecker Analysis of higher order phase fitted
variational integrators . . . . . . . . 605--619
Richard A. Kublik and
David L. Chopp A locally adaptive time stepping
algorithm for the solution to reaction
diffusion equations on branched
structures . . . . . . . . . . . . . . . 621--649
Gerlind Plonka and
Yi Zheng Relation between total variation and
persistence distance and its application
in signal processing . . . . . . . . . . 651--674
Sebastián Domínguez and
Gabriel N. Gatica and
Antonio Márquez and
Salim Meddahi A primal-mixed formulation for the
strong coupling of quasi-Newtonian
fluids with porous media . . . . . . . . 675--720
Alice Z.-Y. Chan and
Martin S. Copenhaver and
Sivaram K. Narayan and
Logan Stokols and
Allison Theobold On structural decompositions of finite
frames . . . . . . . . . . . . . . . . . 721--756
A. Bermúdez and
R. Muñoz-Sola and
C. Reales and
R. Rodríguez and
P. Salgado A transient eddy current problem on a
moving domain. Numerical analysis . . . 757--789
Alfredo Deaño and
Daan Huybrechs and
Peter Opsomer Construction and implementation of
asymptotic expansions for Jacobi-type
orthogonal polynomials . . . . . . . . . 791--822
Christian Apprich and
Klaus Höllig and
Jörg Hörner and
Ulrich Reif Collocation with WEB-splines . . . . . . 823--842
V. Domínguez and
M. Ganesh Sobolev estimates for constructive
uniform-grid FFT interpolatory
approximations of spherical functions 843--887
Franziska Nestler Automated parameter tuning based on RMS
errors for nonequispaced FFTs . . . . . 889--919
Shaohong Du and
Runchang Lin and
Zhimin Zhang \em A posteriori error analysis of
multipoint flux mixed finite element
methods for interface problems . . . . . 921--945
M. R. Turner and
T. J. Bridges Time-dependent conformal mapping of
doubly-connected regions . . . . . . . . 947--972
G. Santin and
R. Schaback Approximation of eigenfunctions in
kernel-based spaces . . . . . . . . . . 973--993
Shi Zhi and
Yan-hua Xu and
Jun-ping Zhao Haar wavelets method for solving Poisson
equations with jump conditions in
irregular domain . . . . . . . . . . . . 995--1012
Anonymous Erratum to: \booktitleAdvances in
Computational Mathematics, volume 41
December 2015, issue 6, pages 1391--1641
[MR3428571; MR3428572; MR3428573;
MR3428574; MR3428575; MR3428576;
MR3428577; MR3428578; MR3428579;
MR3428580] . . . . . . . . . . . . . . . 1013--1014
Can Huang and
Martin Stynes A spectral collocation method for a
weakly singular Volterra integral
equation of the second kind . . . . . . 1015--1030
Gouranga Mallik and
Neela Nataraj Conforming finite element methods for
the von Kármán equations . . . . . . . . . 1031--1054
Costanza Conti and
Mariantonia Cotronei and
Tomas Sauer Factorization of Hermite subdivision
operators preserving exponentials and
polynomials . . . . . . . . . . . . . . 1055--1079
Hongqiang Zhu and
Zhen Gao An $h$-adaptive RKDG method with
troubled-cell indicator for
one-dimensional detonation wave
simulations . . . . . . . . . . . . . . 1081--1102
Zhongming Teng and
Yunkai Zhou and
Ren-Cang Li A block Chebyshev--Davidson method for
linear response eigenvalue problems . . 1103--1128
Jean B. Lasserre Lebesgue decomposition in action via
semidefinite relaxations . . . . . . . . 1129--1148
Keaton Hamm and
Jeff Ledford Cardinal interpolation with general
multiquadrics . . . . . . . . . . . . . 1149--1186
A. Chernih and
Q. T. Le Gia Multiscale methods with compactly
supported radial basis functions for the
Stokes problem on bounded domains . . . 1187--1208
Chuanlong Wang and
Chao Li and
Jin Wang A modified augmented Lagrange multiplier
algorithm for Toeplitz matrix completion 1209--1224
Xiaoming Zheng and
John Lowengrub An interface-fitted adaptive mesh method
for elliptic problems and its
application in free interface problems
with surface tension . . . . . . . . . . 1225--1257
Chao Zeng and
Meng Wu and
Fang Deng and
Jiansong Deng Dimensions of spline spaces over
non-rectangular T-meshes . . . . . . . . 1259--1286
Dai-Qiang Chen and
Yan Zhou and
Li-Juan Song Fixed point algorithm based on adapted
metric method for convex minimization
problem with application to image
deblurring . . . . . . . . . . . . . . . 1287--1310
Wentao Cai and
Jian Li and
Zhangxin Chen Unconditional convergence and optimal
error estimates of the Euler
semi-implicit scheme for a generalized
nonlinear Schrödinger equation . . . . . 1311--1330
Xudong Yao Convergence analysis of a minimax method
for finding multiple solutions of
hemivariational inequality in Hilbert
space . . . . . . . . . . . . . . . . . 1331--1362
Xiaochuan Tian and
Qiang Du and
Max Gunzburger Asymptotically compatible schemes for
the approximation of fractional
Laplacian and related nonlocal diffusion
problems on bounded domains . . . . . . 1363--1380
Hui Zhang and
Ming Yan and
Wotao Yin One condition for solution uniqueness
and robustness of both $ \ell_1
$-synthesis and $ \ell_1 $-analysis
minimizations . . . . . . . . . . . . . 1381--1399
David S. Blom and
Philipp Birken and
Hester Bijl and
Fleur Kessels and
Andreas Meister and
Alexander H. van Zuijlen A comparison of Rosenbrock and ESDIRK
methods combined with iterative solvers
for unsteady compressible flows . . . . 1401--1426
Francesca Pitolli Bell-shaped nonstationary refinable
ripplets . . . . . . . . . . . . . . . . 1427--1451
Jun Hu and
Zhongci Shi and
Xueqin Yang Superconvergence of three dimensional
Morley elements on cuboid meshes for
biharmonic equations . . . . . . . . . . 1453--1471
Xin Liu and
Jian Li and
Zhangxin Chen A weak Galerkin finite element method
for the Oseen equations . . . . . . . . 1473--1490
Wolfgang Carl and
Johannes Wallner Variational Laplacians for semidiscrete
surfaces . . . . . . . . . . . . . . . . 1491--1509
Rida T. Farouki and
Graziano Gentili and
Carlotta Giannelli and
Alessandra Sestini and
Caterina Stoppato A comprehensive characterization of the
set of polynomial curves with rational
rotation-minimizing frames . . . . . . . 1--24
David Brander and
Jens Gravesen and
Toke Bjerge Nòrbjerg Approximation by planar elastic curves 25--43
Christiaan C. Stolk An improved sweeping domain
decomposition preconditioner for the
Helmholtz equation . . . . . . . . . . . 45--76
Natalia Kopteva and
Martin Stynes Analysis and numerical solution of a
Riemann--Liouville fractional derivative
two-point boundary value problem . . . . 77--99
Christian Gerhards and
Sergiy Pereverzyev, Jr. and
Pavlo Tkachenko A parameter choice strategy for the
inversion of multiple observations . . . 101--112
François Bachoc and
Martin Ehler and
Manuel Gräf Optimal configurations of lines and a
statistical application . . . . . . . . 113--126
Zheng-Chu Guo and
Yiming Ying and
Ding-Xuan Zhou Online regularized learning with
pairwise loss functions . . . . . . . . 127--150
Avram Sidi Minimal polynomial and reduced rank
extrapolation methods are related . . . 151--170
Michal Kordy and
Elena Cherkaev and
Philip Wannamaker Null space correction and adaptive model
order reduction in multi-frequency
Maxwell's problem . . . . . . . . . . . 171--193
Ludvig af Klinteberg and
Anna-Karin Tornberg Error estimation for quadrature by
expansion in layer potential evaluation 195--234
Hendrik Speleers Hierarchical spline spaces:
quasi-interpolants and local
approximation estimates . . . . . . . . 235--255
Mazen Ali and
Kristina Steih and
Karsten Urban Reduced basis methods with adaptive
snapshot computations . . . . . . . . . 257--294
Kanghui Guo and
Demetrio Labate Microlocal analysis of edge flatness
through directional multiscale
representations . . . . . . . . . . . . 295--318
Tongke Wang and
Zhiyue Zhang and
Zhifang Liu The practical Gauss type rules for
Hadamard finite-part integrals using
Puiseux expansions . . . . . . . . . . . 319--350
Adrianna Gillman An integral equation technique for
scattering problems with mixed boundary
conditions . . . . . . . . . . . . . . . 351--364
Rishi Kumar Pandey and
Hradyesh Kumar Mishra Homotopy analysis Sumudu transform
method for time-fractional third order
dispersive partial differential equation 365--383
Zhendong Gu Piecewise spectral collocation method
for system of Volterra integral
equations . . . . . . . . . . . . . . . 385--409
Vladimir Kazeev and
Ivan Oseledets and
Maxim Rakhuba and
Christoph Schwab QTT-finite-element approximation for
multiscale problems I: model problems in
one dimension . . . . . . . . . . . . . 411--442
Ole Christensen and
Marzieh Hasannasab and
Jakob Lemvig Explicit constructions and properties of
generalized shift-invariant systems in $
L^2 (\mathbb {R}) $ . . . . . . . . . . 443--472
Young Ok Choi and
Johannes Tausch The Galerkin boundary element method for
transient Stokes flow . . . . . . . . . 473--493
Sergey Voronin and
Per-Gunnar Martinsson Efficient algorithms for CUR and
interpolative matrix decompositions . . 495--516
Jintao Cui and
Thirupathi Gudi Finite element approximation of a free
boundary plasma problem . . . . . . . . 517--535
Erich Novak and
Mario Ullrich and
Henryk Wo\'zniakowski and
Shun Zhang Complexity of oscillatory integrals on
the real line . . . . . . . . . . . . . 537--553
Sui Tang System identification in dynamical
sampling . . . . . . . . . . . . . . . . 555--580
Q. T. Le Gia and
I. H. Sloan and
H. Wendland Zooming from global to local: a
multiscale RBF approach . . . . . . . . 581--606
Vahagn Bayramyan and
Hakop Hakopian On a new property of $n$-poised and $ G
C_n$ sets . . . . . . . . . . . . . . . 607--626
A. Aimi and
M. Diligenti and
C. Guardasoni Energetic BEM--FEM coupling for the
numerical solution of the damped wave
equation . . . . . . . . . . . . . . . . 627--651
Z. Dadi Dynamics of two-cell systems with
discrete delays . . . . . . . . . . . . 653--676
Adrian Holho\cs and
Daniela Ro\csca Area preserving maps and volume
preserving maps between a class of
polyhedrons and a sphere . . . . . . . . 677--697
Zhijiang Zhang and
Weihua Deng Numerical approaches to the functional
distribution of anomalous diffusion with
both traps and flights . . . . . . . . . 699--732
Amir Averbuch and
Pekka Neittaanmäki and
Etay Shefi and
Valery Zheludev Local cubic splines on non-uniform grids
and real-time computation of wavelet
transform . . . . . . . . . . . . . . . 733--758
Jin Zhang and
Xiaowei Liu Supercloseness of the SDFEM on Shishkin
triangular meshes for problems with
exponential layers . . . . . . . . . . . 759--775
Stanis\law Lewanowicz and
Pawe\l Keller and
Pawe\l Wo\'zny Bézier form of dual bivariate Bernstein
polynomials . . . . . . . . . . . . . . 777--793
Waixiang Cao and
Xu Zhang and
Zhimin Zhang Superconvergence of immersed finite
element methods for interface problems 795--821
Yao Rong and
Yanren Hou and
Yuhong Zhang Numerical analysis of a second order
algorithm for simplified
magnetohydrodynamic flows . . . . . . . 823--848
Rosa Donat and
Sergio López-Ureña and
Maria Santágueda A family of non-oscillatory $6$-point
interpolatory subdivision schemes . . . 849--883
A. F. Hegarty and
E. O'Riordan Parameter-uniform numerical method for
singularly perturbed
convection--diffusion problem on a
circular domain . . . . . . . . . . . . 885--909
Dianming Hou and
Chuanju Xu A fractional spectral method with
applications to some singular problems 911--944
L. Iapichino and
S. Ulbrich and
S. Volkwein Multiobjective PDE-constrained
optimization using the reduced-basis
method . . . . . . . . . . . . . . . . . 945--972
Yanzhao Cao and
Ying Jiang and
Yuesheng Xu A fast discrete spectral method for
stochastic partial differential
equations . . . . . . . . . . . . . . . 973--998
Natalia Kopteva and
Torsten Linß Improved maximum-norm a posteriori error
estimates for linear and semilinear
parabolic equations . . . . . . . . . . 999--1022
Zhanjing Tao and
Jianxian Qiu Dimension-by-dimension moment-based
central Hermite WENO schemes for
directly solving Hamilton--Jacobi
equations . . . . . . . . . . . . . . . 1023--1058
Caroline Moosmüller Hermite subdivision on manifolds via
parallel transport . . . . . . . . . . . 1059--1074
X. Claeys and
R. Hiptmair and
E. Spindler Second kind boundary integral equation
for multi-subdomain diffusion problems 1075--1101
J. A. Ezquerro and
M. A. Hernández-Verón A study of the influence of center
conditions on the domain of parameters
of Newton's method by using recurrence
relations . . . . . . . . . . . . . . . 1103--1129
Ghulam Mustafa and
Rabia Hameed Families of univariate and bivariate
subdivision schemes originated from
quartic B-spline . . . . . . . . . . . . 1131--1161
Theresa Wenger and
Sina Ober-Blöbaum and
Sigrid Leyendecker Construction and analysis of higher
order variational integrators for
dynamical systems with holonomic
constraints . . . . . . . . . . . . . . 1163--1195
Dao Huy Cuong and
Mai Duc Thanh A well-balanced van Leer-type numerical
scheme for shallow water equations with
variable topography . . . . . . . . . . 1197--1225
Fu-Jun Liu and
Zhong-Qing Wang and
Hui-Yuan Li A fully diagonalized spectral method
using generalized Laguerre functions on
the half line . . . . . . . . . . . . . 1227--1259
William Paulsen and
Samuel Cowgill Solving $ F(z + 1) = b^{F(z)} $ in the
complex plane . . . . . . . . . . . . . 1261--1282
Pietro Dell'Acqua A note on Taylor boundary conditions for
accurate image restoration . . . . . . . 1283--1304
Lin Mu and
Xiu Ye A simple finite element method for the
Stokes equations . . . . . . . . . . . . 1305--1324
Robert Stephen Jones Computing ultra-precise eigenvalues of
the Laplacian within polygons . . . . . 1325--1354
Wenwu Gao and
Zongmin Wu Constructing radial kernels with
higher-order generalized Strang--Fix
conditions . . . . . . . . . . . . . . . 1355--1375
Paolo Ghelardoni and
Cecilia Magherini A matrix method for fractional
Sturm--Liouville problems on bounded
domain . . . . . . . . . . . . . . . . . 1377--1401
Roberto Iacono and
John P. Boyd New approximations to the principal
real-valued branch of the Lambert
$W$-function . . . . . . . . . . . . . . 1403--1436
Lina Wang and
Lijun Yi An h--p version of the continuous
Petrov--Galerkin method for Volterra
delay-integro-differential equations . . 1437--1467
Tahar Z. Boulmezaoud and
Keltoum Kaliche and
Nabil Kerdid Inverted finite elements for div--curl
systems in the whole space . . . . . . . 1469--1489
Axel Flinth Sparse blind deconvolution and demixing
through $ \ell_1, 2 $-minimization . . . 1--21
Thomas Führer and
Norbert Heuer A wirebasket preconditioner for the
mortar boundary element method . . . . . 23--49
Pedro G. Massey and
Noelia B. Rios and
Demetrio Stojanoff Frame completions with prescribed norms:
local minimizers and applications . . . 51--86
Gary Pui-Tung Choi and
Lok Ming Lui A linear formulation for disk conformal
parameterization of simply-connected
open surfaces . . . . . . . . . . . . . 87--114
Mingchao Cai and
Peiqi Huang and
Mo Mu Some multilevel decoupled algorithms for
a mixed Navier--Stokes/Darcy model . . . 115--145
Chang-Yeol Jung and
Thien Binh Nguyen Fine structures for the solutions of the
two-dimensional Riemann problems by
high-order WENO schemes . . . . . . . . 147--174
Liqun Wang and
Songming Hou and
Liwei Shi A numerical method for solving
three-dimensional elliptic interface
problems with triple junction points . . 175--193
Javier de Frutos and
Bosco García-Archilla and
Volker John and
Julia Novo Analysis of the grad--div stabilization
for the time-dependent Navier--Stokes
equations with inf--sup stable finite
elements . . . . . . . . . . . . . . . . 195--225
Tatyana Sorokina Bernstein--Bézier techniques for
divergence of polynomial spline vector
fields in $ \mathbb {R}^n $ . . . . . . 227--244
Qiya Hu and
Long Yuan A plane wave method combined with local
spectral elements for nonhomogeneous
Helmholtz equation and time-harmonic
Maxwell equations . . . . . . . . . . . 245--275
José L. López Convergent expansions of the Bessel
functions in terms of elementary
functions . . . . . . . . . . . . . . . 277--294
Aziz Takhirov and
Alexander Lozovskiy Computationally efficient modular
nonlinear filter stabilization for high
Reynolds number flows . . . . . . . . . 295--325
Alina Chertock and
Yekaterina Epshteyn and
Hengrui Hu and
Alexander Kurganov High-order positivity-preserving hybrid
finite-volume-finite-difference methods
for chemotaxis systems . . . . . . . . . 327--350
Pedro R. S. Antunes Reducing the ill conditioning in the
method of fundamental solutions . . . . 351--365
Guillermo Navas-Palencia High-precision computation of the
confluent hypergeometric functions via
Franklin--Friedman expansion . . . . . . 1--19
T. M. Dunster and
A. Gil and
J. Segura Uniform asymptotic expansions for
Laguerre polynomials and related
confluent hypergeometric functions . . . 1--34