Galerkin-wavelet methods for two-point boundary value problems

Jin Chao Xu, Wei Chang Shann

Research output: Contribution to journalArticlepeer-review

80 Scopus citations

Abstract

Anti-derivatives of wavelets are used for the numerical solution of differential equations. Optimal error estimates are obtained in the applications to two-point boundary value problems of second order. The orthogonal property of the wavelets is used to construct efficient iterative methods for the solution of the resultant linear algebraic systems. Numerical examples are given.

Original languageEnglish
Pages (from-to)123-144
Number of pages22
JournalNumerische Mathematik
Volume63
Issue number1
DOIs
StatePublished - Dec 1992

Keywords

  • Mathematics Subject Classification (1991): 65N30, 65N13, 65F10

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