ON THE ACCURACY OF INVARIANT NUMERICAL SCHEMES

被引：6

作者：

Chhay, Marx ^{[1
]}

Hamdouni, Aziz ^{[1
]}

机构：

[1] Univ La Rochelle, LEPTIAB, F-17000 La Rochelle, France

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2011年 / 10卷 / 02期

关键词：

Invariant methods; Lie symmetry; order of accuracy; moving frames; parametrized scheme; geometric integration; MULTISYMPLECTIC GEOMETRY; VARIATIONAL INTEGRATORS; MOVING COFRAMES; SYMMETRY;

D O I：

10.3934/cpaa.2011.10.761

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we present a method of construction of invariant numerical schemes for partial differential equations. The resulting schemes preserve the Lie-symmetry group of the continuous equation and they are at least as accurate as the original scheme. The improvement of the numerical properties thanks to the Lie-symmetry preservation is illustrated on the example of the Burgers equation.

引用

页码：761 / 783

页数：23

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