A wavelet collocation method for the numerical solution of partial differential equations

被引：140

作者：

Bertoluzza, S ^{[1
]}

Naldi, G ^{[1
]}

机构：

[1] UNIV PAVIA,DIPARTIMENTO MATEMAT,I-27100 PAVIA,ITALY

来源：

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS | 1996年 / 3卷 / 01期

关键词：

D O I：

10.1006/acha.1996.0001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We describe a wavelet collocation method for the numerical solution of partial differential equations which is based on the use of the autocorrelation functions of Daubechie's compactly supported wavelets. For such a method we discuss the application of wavelet based preconditioning techniques along with the treatment of boundary conditions, and we show the results of some numerical tests for several 1- and 2-dimensional model problems. (C) 1996 Academic Press, Inc.

引用

页码：1 / 9

页数：9

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