RBF collocation

Type of content
Discussion / Working Papers
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Degree name
Publisher
University of Canterbury
Journal Title
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Date
2002
Authors
Mouat, Cameron Thomas
Beatson, Richard Keith
Abstract

In recent years radial basis function collocation has become a useful alternative to finite difference and finite element methods for solving elliptic partial differential equations. RBF collocation methods have been shown numerically (see for example [17]) and theoretically (see [14, 13]) to be very accurate even for a small number of collocation points. In application finite difference methods often have a low approximation order and consequently can require a large grid and considerable computation to obtain a sufficiently accurate solution. RBF collocation has been applied to linear elliptic PDEs in R ² and R ³ [18], to time dependent problems [15, 16], and to non-linear problems [10].

Description
Citation
Keywords
radial basis functions, domain decomposition, collocation, pde
Ngā upoko tukutuku/Māori subject headings
ANZSRC fields of research
Field of Research::01 - Mathematical Sciences
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All Rights Reserved