Stability analysis of Runge-Kutta methods for non-linear delay differential equations

被引：51

作者：

Chengming H. ^{[1
,2
]}

Hongyuan F. ^{[2
]}

Shoufu L. ^{[1
]}

Guangnan C. ^{[2
]}

机构：

[1] Department of Mathematics, Xiangtan University, Hunan Province

[2] Graduate School, CAEP, Beijing, 100088

来源：

BIT Numerical Mathematics | 1999年 / 39卷 / 2期

基金：

中国国家自然科学基金;

关键词：

Delay differential equations; Runge-Kutta methods; nonlinear stability;

D O I：

10.1023/A:1022341929651

中图分类号：

学科分类号：

摘要：

This paper is concerned with the numerical solution of delay differential equations(DDEs). We focus on the stability behaviour of Runge-Kutta methods for nonlinear DDEs. The new concepts of GR(l)-stability, GAR(l)-stability and weak GAR(l)-stability are further introduced. We investigate these stability properties for (k, l)-algebraically stable Runge-Kutta methods with a piecewise constant or linear interpolation procedure.

引用

页码：270 / 280

页数：10

共 21 条

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