A wavelet-based method for numerical solution of nonlinear evolution equations

被引：37

作者：

Comincioli, V ^{[1
]}

Naldi, G ^{[1
]}

Scapolla, T ^{[1
]}

机构：

[1] Univ Pavia, Dipartimento Matemat F Casorati, I-27100 Pavia, Italy

来源：

APPLIED NUMERICAL MATHEMATICS | 2000年 / 33卷 / 1-4期

关键词：

Rothe method; multiscale collocation method; adaptive algorithms;

D O I：

10.1016/S0168-9274(99)00095-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We describe an adaptive algorithm for solving one-dimensional system of nonlinear partial differential equations. Different strategies are considered for the discretization in time while a multiscale collocation method is applied for the discretization in space. In particular we look at the so called Rothe method which is based on first time then space discretization. Numerical experiments are presented for a set of nonlinear problems from the literature. (C) 2000 IMACS. Published by Elsevier Science B.V. All rights reserved.

引用

页码：291 / 297

页数：7