NONLINEAR GALERKIN METHOD USING CHEBYSHEV AND LEGENDRE POLYNOMIALS .1. THE ONE-DIMENSIONAL CASE

被引：17
|
作者：
SHEN, J
TEMAN, R
机构：
来源：
SIAM JOURNAL ON NUMERICAL ANALYSIS | 1995年 / 32卷 / 01期
关键词：
SPECTRAL-GALERKIN METHOD; SPECTRAL-TAU METHOD; CHEBYSHEV POLYNOMIAL; LEGENDRE POLYNOMIAL; NONLINEAR GALERKIN METHOD;
D O I：
10.1137/0732007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new strategy, stemming from the nonlinear Galerkin method [M. Marion and R. Temam, SIAM J. Numer. Anal., 26 (1989), pp. 1139-1157], for solving linear elliptic and nonlinear dissipative evolution equations by using Chebyshev and Legendre polynomials is presented. The essential idea is to decompose the solution into a low mode part and a high mode part and to treat them separately. The robustness of the method over the classical Galerkin method is substantiated by rigorous error estimates and preliminary numerical experiments.
引用
收藏
页码：215 / 234
页数：20
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