Galerkin-wavelet methods for two-point boundary value problems

Jin Chao Xu; Wei Chang Shann

doi:10.1007/BF01385851

Galerkin-wavelet methods for two-point boundary value problems

Jin Chao Xu, Wei Chang Shann

Research output: Contribution to journal › Article › peer-review

82 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. © 1992 Springer-Verlag.

Original language	English (US)
Pages (from-to)	123-144
Number of pages	22
Journal	Numerische Mathematik
Volume	63
Issue number	1
DOIs	https://doi.org/10.1007/BF01385851
State	Published - Dec 1 1992
Externally published	Yes

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1007/BF01385851

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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. {\textcopyright} 1992 Springer-Verlag.",

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AB - 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. © 1992 Springer-Verlag.

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Galerkin-wavelet methods for two-point boundary value problems

Abstract

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