On One Class of Numerical Methods for Solving Stiff Systems of Differential Equations

被引：0

作者：

Daugavet, I. K. ^{[1
]}

机构：

[1] St Petersburg State Univ, Univ Skaya Nab 7-9, St Petersburg 199034, Russia

来源：

VESTNIK ST PETERSBURG UNIVERSITY-MATHEMATICS | 2012年 / 45卷 / 01期

关键词：

numerical solution of a Cauchy problem; Cowell's method; stability; stiff systems;

D O I：

10.3103/S1063454112010037

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper is concerned with a modification of a Cowell-type method: at each step the solution is evaluated at several points and only some first of these values are retained. Stability of these methods is examined. In particular, among the methods of this group we single out one method that has the fourth order of accuracy and is stable for stiff systems with any choice of integration step.

引用

页码：1 / 6

页数：6

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