Comparison of some Lie-symmetry-based integrators

被引：21

作者：

Chhay, M. ^{[1
]}

Hoarau, E. ^{[2
]}

Hamdouni, A. ^{[1
]}

Sagaut, P. ^{[2
]}

机构：

[1] Univ La Rochelle, LEPTIAB, La Rochelle, France

[2] Univ Paris 06, Inst Jean Le Rond dAlembert, UMR 7190, F-75252 Paris 5, France

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2011年 / 230卷 / 05期

关键词：

Invariant scheme; Symmetry; Lie group method; Discrete differential invariant; Moving frame; MULTISYMPLECTIC GEOMETRY; VARIATIONAL INTEGRATORS; NUMERICAL SCHEMES; HEAT-TRANSFER; INVARIANTIZATION; DISCRETIZATION; CONSERVATION; TIME;

D O I：

10.1016/j.jcp.2010.12.015

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Lie-symmetry based integrators are constructed in order to preserve the local invariance properties of the equations. The geometrical methods leading to discretized equations for numerical computations involve many different concepts. Therefore they give rise to numerical schemes that vary in the accuracy, in the computational cost and in the implementation. In this paper a comparison is made between some alternative Lie-symmetry based methods illustrated on the example of the Burgers equation. The importance of the symmetry preservation is numerically highlighted. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：2174 / 2188

页数：15

共 50 条

[1]

[Anonymous], 1935, METHODE REPERE MOBIL

[2]

[Anonymous], SOLVING ORDINARY DIF

[3]

[Anonymous], AM MATH SOC TRANSL

[4] Symmetry-preserving difference schemes for some heat transfer equations [J].