TOWARDS EFFICIENT RUNGE-KUTTA METHODS FOR STIFF SYSTEMS

被引：28

作者：

BUTCHER, JC ^{[1
]}

CASH, JR ^{[1
]}

机构：

[1] UNIV LONDON IMPERIAL COLL SCI & TECHNOL,DEPT MATH,LONDON SW7 2AZ,ENGLAND

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1990年 / 27卷 / 03期

关键词：

D O I：

10.1137/0727044

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A special class of implicit Runge-Kutta methods is developed for the numerical solution of stiff initial value problems. These formulae are derived from known singly implicit methods by adding one or more extra diagonally implicit stages. It is hoped that this modification of the original method will lead to an overall gain in efficiency, and an analysis of the advantages of making this enhancement is presented.

引用

页码：753 / 761

页数：9

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