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Integrated multiquadric radial basis function approximation methods

Authors
Journal
Computers & Mathematics with Applications
0898-1221
Publisher
Elsevier
Publication Date
Volume
51
Issue
8
Identifiers
DOI: 10.1016/j.camwa.2006.04.014
Keywords
  • Radial Basis Function
  • Interpolation
  • Numerical Partial Differential Equations

Abstract

Abstract Promising numerical results using once and twice integrated radial basis functions have been recently presented. In this work we investigate the integrated radial basis function (IRBF) concept in greater detail, connect to the existing RBF theory, and make conjectures about the properties of IRBF approximation methods. The IRBF methods are used to solve PDEs.

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