A composition law for Runge-Kutta methods applied to index-2 differential-algebraic equations

被引：4

作者：

Chan, RPK

Chartier, P

机构：

[1] UNIV AUCKLAND,AUCKLAND,NEW ZEALAND

[2] INST NATL RECH INFORMAT & AUTOMAT,F-35042 RENNES,FRANCE

来源：

BIT | 1996年 / 36卷 / 02期

关键词：

differential-algebraic systems of index 2; Runge-Kutta methods; rooted trees; symmetric methods; composition;

D O I：

10.1007/BF01731981

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

This paper presents a new composition law for Runge-Kutta methods when applied to index-2 differential-algebraic systems. Applications of this result to the study of the order of composite methods and of symmetric methods are given.

引用

页码：229 / 246

页数：18

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