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

83 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 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

All Science Journal Classification (ASJC) codes

Computational Mathematics
Applied Mathematics

Access to Document

10.1007/BF01385851

Cite this

@article{0cdfb1eedefb4b9ab85761ada4971679,

title = "Galerkin-wavelet methods for two-point boundary value problems",

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.",

author = "Xu, \{Jin Chao\} and Shann, \{Wei Chang\}",

year = "1992",

month = dec,

day = "1",

doi = "10.1007/BF01385851",

language = "English (US)",

volume = "63",

pages = "123--144",

journal = "Numerische Mathematik",

issn = "0029-599X",

publisher = "Springer New York",

number = "1",

}

TY - JOUR

T1 - Galerkin-wavelet methods for two-point boundary value problems

AU - Xu, Jin Chao

AU - Shann, Wei Chang

PY - 1992/12/1

Y1 - 1992/12/1

N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/21144465044

UR - https://www.scopus.com/pages/publications/21144465044#tab=citedBy

U2 - 10.1007/BF01385851

DO - 10.1007/BF01385851

M3 - Article

AN - SCOPUS:21144465044

SN - 0029-599X

VL - 63

SP - 123

EP - 144

JO - Numerische Mathematik

JF - Numerische Mathematik

IS - 1

ER -

Galerkin-wavelet methods for two-point boundary value problems

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this