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

页码：215 / 234

页数：20

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