Adaptive Wavelet Methods for Hyperbolic PDEs

被引：34

作者：

Holmström M. ^{[1
]}

Waldén J. ^{[1
]}

机构：

[1] Uppsala University, Department of Scientific Computing, Box 120

来源：

Journal of Scientific Computing | 1998年 / 13卷 / 1期

关键词：

Adaptive PDE methods; Galerkin methods; Wavelets;

D O I：

10.1023/A:1023252610346

中图分类号：

学科分类号：

摘要：

We analyze how to solve hyperbolic PDEs with compactly supported orthonormal wavelets adaptively. We use thresholded wavelet expansions of signals and operators. A tree structure is used to represent the signal, and a multidimensional analogue of the fast wavelet transform is used to expand the operators. We solve the advection equation and Burgers' equation on a periodic domain.

引用

页码：19 / 49

页数：30

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