This file contains the tables of contents for all issues of Advances in Computational Mathematics, ISSN 1019 7168, Editors-in-Chief John C. Mason and Charles A. Micchelli.
pp. 1-37:
Continuous refinement equations and subdivision
W. Dahmen & C. A. Micchelli
pp. 39-60:
Preconditioning in implicit initial value problem methods on
parallel computers
P. J. van der Houwen
pp. 61-80:
Approximation properties of a multilayered feedforward artificial
neural network
H. N. Mhaskar
pp. 81-108:
Hunting for homoclinic orbits in reversible systems: a shooting
technique
A. R. Champneys & A. Spence
pp. 109-126:
Wavelet bases for a set of commuting unitary operators
T.N.T. Goodman, S. L. Lee & W. S. Tang
pp. 127-137:
Sparse matrix multiplication package (SMMP)
R. E. Bank & C. C. Douglas
pp. 139-171:
Knot insertion algorithms for piecewise polynomial spaces
determined by connection matrices
P. J. Barry, R. N. Goldman & C. A. Micchelli
pp. 173-196:
Shape preserving representations and optimality of the
Bernstein basis
J.M. Carnicer & J.M. Pena
pp. 197-214:
Wavelet-compression and nonlinear n-widths
R.A. DeVore, G. Kyriazis, D. Leviatan & V. M. Tikhomirov
pp. 215-221:
Subdivision algorithms with nonnegative masks generally converge
D. E. Gonsor
pp. 223-239:
Error bounds for the finite element approximation of a
degenerate quasilinear parabolic variational inequality
W.B. Liu & J.W. Barrett
pp. 241-258:
Construction of polynomials that are orthogonal with respect to
a discrete bilinear form
L. Reichel
pp. 259-335:
Wavelet approximation methods for pseudodifferential equations
II: Matrix compression and fast solution
W. Dahmen, S. Prossdorf and R. Schneider
pp. 337-356:
Eigenvalues of the discretized Navier-Stokes equation with
application to the detection of Hopf bifurcations
K.A. Cliffe, T.J. Garratt and A. Spence
pp. 357-366:
Least squares and Chebyshev fitting for parameter estimation in ODEs
J. Williams and Z. Kalogiratou
pp. 367-394:
Parallel continuous Runge-Kutta methods and vanishing lag delay
differential equations
C.T.H. Baker and C.A.H. Paul
pp. 1-21:
NURBS approximation of surface / surface intersection curves
C.L. Bajaj and G. Xu
pp. 23-40:
Elastic curves on the sphere
G. Brunnett and P.E. Crouch
pp. 41-66:
Pythagorean-hodograph space curves
R.T. Farouki and T. Sakkalis
pp. 67-80:
A weak condition for the convexity of tensor-product Bezier and
B-spline surfaces
M.S. Floater
pp. 81-99:
Least squares surface approximation to scattered data using
multiquadratic functions
R. Franke, H. Hagen and G.M. Nielson
pp. 101-122:
Triangular finite elements of HCT type and class Cr
M. Laghchim-Lahlou and P. Sablonniere
pp. 123-142:
Helix splines as an example of affine Tchebycheffian splines
H. Pottmann and M.G. Wagner
pp. 143-154:
Convergence of subdivision and degree elevation
H. Prautzsch and L. Kobbelt
pp. 155-184:
Numerical solution of eigenvalue problems for Hamiltonian systems
M. Marletta
pp. 185-214:
Continuous two-scale equations and dyadic wavelets
C.K. Chui and X. Shi
pp. 215-222:
Some remarks on completely vectorizing point Gauss-Seidel while
using the natural ordering
C.C. Douglas
pp. 223-234:
A lacunary interpolation algorithm on arbitrary points
E. Venturino
pp. 235-250:
Wachspress type rational complex planar splines of degree (3,1)
H.P. Dikshit, A. Ojha and R.A. Zalik
pp. 251:
Table-based tests for Bessel function software
A.J. Macleod
pp. 261-277:
A parallel implementation of the restarted GMRES iterative
algorithm for nonsymmetric systems of linear equations
R. Dias da Cunha and T. Hopkins
pp. 279-317:
Time-marching numerical schemes for the electric field integral
equation on a straight thin wire
P.J. Davies and D.B. Duncan
pp. 319-341:
Acceleration property for the E-algorithm and an application to
the summation of series
M. Prevost
pp. 343-355:
Hankel operators and best Hankel approximation on the half-plane
X. Li
pp. 357-373:
Parallel globally adaptive quadrature on the KSR-1
J.M. Bull and T.L. Freeman
pp. 375-391:
A planar minimax algorithm for analysis of co-ordinate measurements
D. Zwick
pp. 393-405:
The solution of orthogonal Procrustes problems for a family of
orthogonally invariant norms
G.A. Watson
pp. 407-436:
Numerical methods for eighth-, tenth- and twelfth-order
eigenvalue problems arising in thermal instability
E.H. Twizell, A. Boutayeb and K. Djidjeli
pp. 437-459:
Convexity of parametric Bezier surfaces in terms of Gaussian
curvature signatures
Z. Cheng and C.K. Chui
pp. 461-477:
A general extrapolation procedure revisited
C. Brezinski and M. Redivo-Zaglia
pp. 479-491:
On local and global sigma-pi neural networks. A common link
B. Lenze
pp. 1-22:
Two-scale symbol and autocorrelation symbol for B-splines with
multiple knots
G. Plonka
pp. 23-40:
Perturbed collocation and symplectic RKN methods
G. Ramaswami
pp. 41-58:
An algebraic approach to approximate evaluation of a polynomial
on a set of real points
V.Y. Pan
pp. 59-88:
An introduction to second degree forms
P. Maroni
pp. 89-100:
A unified approach to B-spline recursions and knot insertion,
with application to new recursion formulas
G. Walz
pp. 101-113:
A mixed finite element for the Stokes problem using
quadrilateral elements
M. Farhloul and M. Fortin
pp. 115-135:
Evaluation of a boundary integral representation for the
conformal mapping of the unit disk onto a simply-connected domain
S.N. Chandler-Wilde, J. Levesley and D.M. Hough
pp. 137-145:
Characterization of compactly supported refinable splines
W. Lawton, S.L. Lee and Z. Shen
pp. 147-170:
Curve design with rational Pythagorean-hodograph curves
H. Pottmann
pp. 309-342:
Subdivision schemes in Lp spaces
R.-Q. Jia
pp. 343-352:
A new stepsize strategy for explicit Runge-Kutta codes
G. Hall
pp. 353-368:
A generalization of de Boor's
stability result and symmetric preconditioning
K. Jetter and J. Stoeckler
pp. 369-374:
The polynomial topological complexity of
Fatou-Julia sets
C.T. Chong
pp. 375-394:
A generalization
of the variation diminishing property
J.M. Carnicer, T.N.T. Goodman and J.M. Pena
pp. 393-404:
Multivariate convexity preserving interpolation
by smooth functions
J.M. Carnicer
pp. 405-424:
Control
curves and knot insertion for trigonometric splines
P.E. Koch, T. Lyche, M. Neamtu and L.L. Schumaker
Numerical stability of biorthogonal wavelet transforms
F. Keinert
Numerical solution of the incompressible
Navier--Stokes equations by Krylov subspace and multigrid methods
S. Zeng, C. Vuik and P. Wesseling
On divergence-free wavelets
K. Urban
Sparse-grid finite-volume multigrid for 3D-problems
P.W. Hemker
A two-level additive Schwarz preconditioner for the
stationary Stokes equations
S.C. Brenner
Analysis of preconditioning and multigrid for
Euler flows with low-subsonic regions
B. Koren and B. van Leer
Multilevel preconditioning -- Appending boundary conditions by
Lagrange multipliers
A. Kunoth
Tensor product type subspace splittings and
multilevel iterative methods for anisotropic problems
M. Griebel and P. Oswald
pp. 207-260:
On multivariate Hermite interpolation
T. Sauer and Y. Yu
pp. 261-282:
Convergence estimates for the wavelet-Galerkin
method: superconvergence at the node points
S.M. Gomes
pp. 283-292:
Compactly supported positive definite radial functions
Z.Wu
pp. 293-330:
Wavelets on irregular meshes
F. Plantevin
pp. 331-356:
Multilevel preconditioning on the refined interface and
optimal boundary solvers for the Laplace equation
B.N. Khoromskij and S. Proessdorf
pp. 357-388:
On the construction of wavelets on a bounded interval
G. Plonka, K. Selig and M. Tasche
pp. 389-396:
Piecewise polynomial, positive definite and compactly
supported radial functions of minimal degree
H. Wendland
pp. 1-14:
Parallel factorization of banded
linear matrices using a systolic array processor
I.J. Anderson and S.K. Harbour
pp. 15-30:
The analysis of multigrid algorithms for cell centered finite
difference methods
J.H. Bramble, R.E. Ewing, J.E. Pasciak and J. Shen
pp. 31-50:
Reconstruction of signals from multiscale edges
M.L. Varas S.
pp. 51-94:
Spherical wavelet transform and its discretization
W. Freeden and U. Windheuser
pp. 95-124:
Analytic wavelets generated by radial functions
C.K. Chui, J. Stoeckler and J.D. Ward
Hybrid misclassification minimization
C. Chen and O.L. Mangasarian
Chebyshev approximation by discrete superposition. Application to neural
networks
M. Nees
Networks and closed balls
J.L. Noakes
Hyperbolic sigma-pi neural network operators for compactly supported
continuous functions
B. Lenze
Some remarks on greedy algorithms
R.A. DeVore and V.N. Temlyakov
Nonlinearity creates linear independence
Y. Ito
Solvable models of layered neural networks based on their differential structure
S. Watanabe
Limitations of the approximation capabilities of neural networks with one
hidden layer
C.K. Chui, X. Li and H.N. Mhaskar
Critical points for least-squares problems involving certain analytic functions,
with applications to sigmoidal nets
E.D. Sontag
Linear unlearning for cross-validation
L.K. Hansen and J. Larsen
pp. 1-24:
Iterative methods for solving Ax = b, GMRES/FOM versus QMR/BiCG
Jane Cullum
pp. 25-45:
Bivariate segment approximation and splines
G. Meinardus, G. Nürnberger and G. Walz
pp. 47-64:
Numerical solution of Cauchy-type integral equations of index
Jose A. Cuminato
pp. 65-76:
A collocation method for singularly perturbed two-point boundary value problems
with splines in tension
Miljenko Marusic and Mladen Rogina
pp. 77-86:
Complexity reduction of least squares problems involving special Vandermonde
matrices
T. Tommasini
pp. 87-96:
Interpolation regions for convex cubic curve segments
Jörg Peters
pp. 97-108:
Barycentric coordinates for convex polytopes
Joe Warren
pp. 109-138:
A finite element method for interface problems in domains with smooth boundaries
and interfaces
James H. Bramble and J. Thomas King
pp. 139-157:
Derivative corrections for quadrature formulas
William F. Ford, Yuesheng Xu and Yunhe Zhao
pp. 159-189:
A subspace preconditioning algorithm for eigenvector/eigenvalue computation
James H. Bramble, Joseph E. Pasciak and Andrew V. Knyazev
pp. 191-206:
C^r -finite elements of Powell-Sabin type on the three direction mesh
M. Laghchim-Lahlou and P. Sablonniere
Preface
E. H. Twizell
Foreword: JOHN CRANK
Jack Howlett
JOHN CRANK: his association with Brunel University
J. C. Newby
pp. 207-226:
A practical method for numerical evaluation of solutions of
partial differential equations of the heat-conduction type
J. Crank and P. Nicolson
pp. 227-242:
Atmospheric diffusion: some new mathematical models
P. C. Chatwin, D. M. Lewis and N. Mole
pp. 243-262:
Galerkin methods for a semilinear parabolic problem with nonlocal boundary
conditions
G. Fairweather and J. C. Lopez-Marcos
pp. 263-279:
The stability of boundary conditions for an angled-derivative difference scheme
K. W. Morton and N. A. Burgess
pp. 281- 293: The role of the Crank-Gupta model in the theory of free
and moving boundary problems
J. R. Ockendon
pp. 295-308:
The role of the Crank-Gupta model in the theory of free
and moving boundary problems
K. A. Pericleous, M. Cross, G. Moran, P. Chow and K. S. Chan
pp. 309-323:
Towards adaptive finite element schemes for partial
differential Volterra equation solvers
Simon Shaw and J. R. Whiteman
pp. 325-331:
Mathematical modelling of binder removal from
plastically-formed engineering ceramics
J. H. Song, M. J. Edirisinghe and J. R. G. Evans
pp. 333-352:
Second-order, L_0-stable methods for the heat equation
with time-dependent boundary conditions
E. H. Twizell, A. B. Gumel and M. A. Arigu
pp. 353-363:
Time-stepping algorithms for semidiscretized linear
parabolic PDEs based on rational approximants with distinct real poles
D. A. Voss and A. Q. M. Khaliq
pp. 1-31:
Parallel methods for ODEs
Kevin Burrage
pp. 5-26:
Parallel ODE solvers based on block BVMs
Pierluigi Amodio and Luigi Brugnano
pp. 27-36:
A parallel stiff ODE solver based on MIRKs
Claus Bendtsen
pp. 37-57:
Parallel iterated methods based on multistep Runge-Kutta
methods of Radau type
K. Burrage and H. Suhartanto
pp. 59-77:
Parallel iterated method based on multistep Runge-Kutta of
Radau type for stiff problems
K. Burrage and H. Suhartanto
pp. 79-96:
Order and stability of parallel methods for stiff problems
J. C. Butcher
pp. 97-133:
DIMSEMs - diagonally implicit single-eigenvalue methods for
the numerical solution of stiff ODEs on parallel computers
Robert F. Enenkel and Kenneth R. Jackson
pp. 135-156:
Remarks on the optimal convolution kernel for CSOR
waveform relaxation
Min Hu, Ken Jackson, Jan Janssen and Stefan Vandewalle
pp. 157-181:
Parallel linear system solvers for Runge-Kutta methods
P. J. van der Houwen and J. J. B. de Swart
pp. 183-197:
Waveform relaxation methods for implicit differential equations
P. J. van der Houwen and W. A. van der Veen
pp. 199-233:
The Petrov--Galerkin method for second kind integral
equations II: multiwavelet schemes
Zhongying Chen, Charles A. Micchelli and Yuesheng Xu
pp. 235-259:
Adaptive finite element for semi-linear
convection--diffusion problems
L. Pouly and J. Pousin
pp. 261-277:
Error analysis of mixed finite elements for cylindrical
shells
Geng Yang, Michel C. Delfour and Michel Fortin
pp. 279-294:
The compass (star) identity for vector-valued rational
interpolants
P.R. Graves-Morris and B. Beckermann
pp. 295-301:
Sensitivity analysis of the differential matrix Riccati
equation based on the associated linear differential system
Mihail Konstantinov and Vera Angelova
pp. 303-335:
A new theoretically motivated higher order upwind scheme
on unstructured grids of simplices
Monika Wierse
pp. 337-360:
Interior estimates for a low order finite element method
for the Reissner--Mindlin plate model
Douglas N. Arnold and Xiaobo Liu
pp. 361-382:
Stepsize selection for tolerance proportionality in
explicit Runge--Kutta codes
M. Calvo, D.J. Higham, J.I. Montijano and L. Rández
pp. 383-399:
Spectral properties of matrix continuous refinement
operators
Qingtang Jiang and S.L. Lee
pp. 401-428:
Orthogonality properties of linear combinations of
orthogonal polynomials II
Francisco Marcellan, Franz Peherstorfer and Robert Steinbauer
pp. 429-454:
Spectral factorization of Laurent polynomials
Tim N.T. Goodman, Charles A. Micchelli, Giuseppe Rodriguez and Sebastiano Seatzu
pp. 455-545:
Regularity of multiwavelets
C.A. Micchelli and Thomas Sauer
pp. 547-571:
Discrete qualocation methods for logarithmic-kernel
integral equations on a piecewise smooth boundary
Y. Jeon, I.H. Sloan, E.P. Stephan and J. Elschner
pp. 573-592:
Numerical treatment of retarded differential--algebraic
equations by collocation methods
R. Hauber
pp. 593-621:
Distances between oriented curves in geometric modeling
Przemyslaw Bogacki, Stanley Weinstein and Yuesheng Xu
pp. 1-17:
Affine frames, quasi-affine frames, and their duals
Charles K. Chui, Xianliang Shi and Joachim Stoeckler
pp. 19-31:
Numerical integration of 2-D integrals based on local bivariate C1
quasi-interpolating splines
C. Dagnino and P. Lamberti
pp. 33-48:
Numerical solution of generalized Lyapunov equations
Thilo Penzl
pp. 49-63:
Invariant smoothness measures for surfaces
Even Mehlum and Christian Tarrou
pp. 65-96:
An almost monotone approximation for a nonlinear two-point boundary value
problem
Ben-yu Guo and Yuan-ming Wang
pp. 97-110:
Parallel implementation of the p-version of the finite element method for
elliptic equations on a shared-memory architecture
Tadeusz J. Janik
pp. 111-135:
Fast computations with the harmonic Poincare--Steklov operators on nested
refined meshes
Boris N. Khoromskij and Siegfried Proessdorf
pp. 137-163
Stability results for scattered-data interpolation on Euclidean spheres
F.J. Narcowich, N. Sivakumar and J.D. Ward
pp. 165-177
Nonlinear corner-cutting
Lyle Noakes
pp. 179-192
On the fast approximation of some nonlinear operators in nonregular wavelet spaces
J. Liandrat and Ph. Tchamitchian
pp. 193-219
On a vector q-d algorithm
D.E. Roberts
pp. 221-247
Symmetric orthonormal scaling functions and wavelets with dilation factor 4
Bin Han
pp. 249-265
The best m-term approximation and greedy algorithms
V.N. Temlyakov
pp. 267-289
Formal vector orthogonal polynomials
pp. 291-315
Vandermonde type determinants and blossoming
Marie-Laurence Mazure
pp. 317-334
The Cayley transform in the numerical solution of unitary differential
systems
F. Diele, L. Lopez and R. Peluso
pp. 335-344
Experiments in stepsize control for Adams linear multistep methods
David R. Willé
pp. 345-352
The dual basis functions for the Bernstein polynomials
Bert Jüttler
pp. 353-366
The Cr-fundamental splines of Clough--Tocher and Powell--Sabin types for
Lagrange interpolation on a three direction mesh
Mohammed Laghchim-Lahlou
pp. 367-380
Minimal cubature formulae for a family of radial weight functions
Yuan Xu
pp. 381-399
Convergence order estimates of meshless collocation methods using radial
basis functions
Carsten Franke and Robert Schaback
Introduction
Kendall Atkinson and Yuesheng Xu
pp 1-20: Numerical exploitation of symmetry in integral equations
Eugene L. Allgower and Kurt Georg
pp 21-35: Recursive generation of the Galerkin--Chebyshev matrix for convolution
kernels
Davis K. Cope
pp 37-67: Observations on the numerical stability of the Galerkin method
Allan G. Dallas, G.C. Hsiao and R.E. Kleinman
pp 69-95: The method of fundamental solutions for elliptic boundary value problems
Graeme Fairweather and Andreas Karageorghis
pp 97-115: New boundary element formulas for the biharmonic equation
Youngmok Jeon
pp 117-129: An acceleration method for integral equations by using interpolation
post-processing
Qun Lin, Shuhua Zhang and Ningning Yan
pp 131-144: The preconditioned GMRES method for systems of coupled FEM-BEM equations
Patrick Mund and Ernst P. Stephan
pp 145-171: Multiwavelet approximation methods for pseudodifferential equations on
curves. Stability and convergence analysis
Siegfried Prössdorf and Jörg Schult
pp 173-190: Multi-parameter extrapolation methods for boundary integral equations
Ulrich Rüde and Aihui Zhou
pp 191-216: The construction of some efficient preconditioners in the boundary element
method
O. Steinbach and W.L. Wendland
pp 217-232: Second-kind integral formulations of the capacitance problem
Johannes Tausch and Jacob White
pp 233-249: Wavelet-based preconditioners for boundary integral equations
Thanh Tran, Ernst P. Stephan and Stefan Zaprianov
pp. 115-133
Runge--Kutta--Nyström-type parallel block predictor--corrector methods
Nguyen Huu Cong, Karl Strehmel, Rüdiger Weiner and Helmut Podhaisky
pp. 135-167
Optimal discrete and continuous mono-implicit Runge--Kutta schemes for
BVODEs
P.H. Muir
pp. 169-186
A class of modified block SSOR preconditioners for symmetric positive
definite systems of linear equations
Zhong-Zhi Bai
pp. 187-208
A Chebyshev polynomial method for line integrals with singularities
J.C. Mason and E. Venturino
pp. 209-217
Degree estimates for Ck-piecewise polynomial subdivision surfaces
Hartmut Prautzsch and Ulrich Reif
pp. 95-131
On the detection of singularities of a periodic function
H.N. Mhaskar and J. Prestin
pp. 133-149
Some results for a class of generalized polynomials
Serena Morigi and Marian Neamtu
pp. 151-174
A fast matrix-vector multiplication method for solving the radiosity
equation
Kendall Atkinson and David Da-Kwun Chien
pp. 175-187
Asymptotic convergence of degree-raising
Michael S. Floater and Tom Lyche
pp. 189-211
Parameterization of m-channel orthogonal multifilter banks
Qingtang Jiang
pp. 213-227
Weak greedy algorithms
V.N. Temlyakov
pp. 229-250
Diagonally implicit Runge-Kutta methods for 3D shallow water applications
P.J. van der Houwen and B.P. Sommeijer
pp. 251-259
Convergence of Galerkin method solutions of the integral equation for thin
wire antennas
Bryan P. Rynne
pp. 261-272
Modified Mini finite element for the Stokes problem in R2 or R3
Yongdeok Kim and Sungyun Lee
Submissions of articles and proposals for special issues are to be addressed to the Editors-in-Chief:
John C. Mason
School of Computing & Mathematics
University
of Huddersfield
Queensgate
Huddersfield HD1 3DH
England
E-mail: j.c.mason@hud.ac.uk
or
Charles A. Micchelli
Mathematical Sciences Department
IBM
Research Center
P.O. Box 218
Yorktown Heights NY 10598
USA
E-mail: cam@yktvmz.bitnet
Requests for free specimen copies and orders for Advances in Computational Mathematics are to be sent to: E-mail: publish@baltzer.nl
Last modified March 20, 2000 Douglas N. Arnold,