Runge-Kutta methods for orthogonal and isospectral flows

被引：22

作者：

Calvo, MP

Iserles, A

Zanna, A

机构：

[1] UNIV CAMBRIDGE, DEPT APPL MATH & THEORET PHYS, CAMBRIDGE CB2 1TN, ENGLAND

[2] UNIV VALLADOLID, DEPT MATEMAT APLICADA & COMPUTAC, VALLADOLID, SPAIN

[3] UNIV CAMBRIDGE, NEWNHAM COLL, CAMBRIDGE CB2 1TN, ENGLAND

来源：

APPLIED NUMERICAL MATHEMATICS | 1996年 / 22卷 / 1-3期

关键词：

D O I：

10.1016/S0168-9274(96)00029-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Orthogonal and isospectral flows occur in many applications and they possess important invariants. However, a naive application of Runge-Kutta methods is bound to render these invariants incorrectly. In this paper we describe how to retain relevant invariants with Runge-Kutta methods or, alternatively, incur an error in the rendition of the invariants which is significantly smaller than the overall numerical error.

引用

页码：153 / 163

页数：11

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