Volume 23, Issue 1-2 | Advances in Computational Mathematics

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Volume 23, Issue 1-2

July 2005

Recent Theoretical and Practical Developments in Meshless Methods

Issue Editors:

Zongmin Wu,
Benny Y. C. Hon

13 articles in this issue

Preface

EditorialNotes Pages: 1 - 3
Accuracy of radial basis function interpolation and derivative approximations on 1-D infinite grids
Bengt Fornberg
Natasha Flyer
OriginalPaper Pages: 5 - 20
Mixed methods for fourth-order elliptic and parabolic problems using radial basis functions
Jichun Li
OriginalPaper Pages: 21 - 30
A least-squares preconditioner for radial basis functions collocation methods
Leevan Ling
Edward J. Kansa
OriginalPaper Pages: 31 - 54
A matrix decomposition MFS algorithm for axisymmetric biharmonic problems
Graeme Fairweather
Andreas Karageorghis
Yiorgos-Sokratis Smyrlis
OriginalPaper Pages: 55 - 71
The basis of meshless domain discretization: the meshless local Petrov–Galerkin (MLPG) method
Satya N. Atluri
Shengping Shen
OriginalPaper Pages: 73 - 93
Meshfree modeling and analysis of physical fields in heterogeneous media
I. Tsukanov
V. Shapiro
OriginalPaper Pages: 95 - 124
A new method of fundamental solutions applied to nonhomogeneous elliptic problems
C. J. S. Alves
C. S. Chen
OriginalPaper Pages: 125 - 142
A projection technique for incompressible flow in the meshless finite volume particle method
R. Keck
D. Hietel
OriginalPaper Pages: 143 - 169
Material stability analysis of particle methods
S. P. Xiao
T. Belytschko
OriginalPaper Pages: 171 - 190
Flexible piecewise approximations based on partition of unity
Weimin Han
Wing Kam Liu
OriginalPaper Pages: 191 - 199
Generalized Strang–Fix condition for scattered data quasi-interpolation
Zong Min Wu
Jian Ping Liu
OriginalPaper Pages: 201 - 214
Introduction to the Web-method and its applications
Klaus Höllig
Christian Apprich
Anja Streit
OriginalPaper Pages: 215 - 237