Explicit methods based on a class of four stage fourth order Runge-Kutta methods for preserving quadratic laws

被引：33

作者：

Del Buono, N ^{[1
]}

Mastroserio, C ^{[1
]}

机构：

[1] Dipartimento Interuniv Matemat, I-70125 Bari, Italy

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2002年 / 140卷 / 1-2期

关键词：

S-conservative methods; Runge-Kutta methods; rational Runge-Kutta formulae;

D O I：

10.1016/S0377-0427(01)00398-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper concerns the study of explicit 4-stage fourth order Runge-Kutta methods which preserve quadratic conservation laws when their weights are made solution dependent. Application to orthogonal and Hamiltonian linear systems and numerical tests are also reported. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：231 / 243

页数：13

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