GPG-stability of Runge-Kutta methods for generalized delay differential systems

被引：2

作者：

Yang, Biao ^{[1
]}

Qiu, L. ^{[2
]}

Mitsui, T. ^{[2
]}

机构：

[1] Department of Mathematics, Shanghai Normal University, Shanghai 200234, China

[2] Graduate School of Human Informatics, Nagoya University, Nagoya 464-8601, Japan

来源：

Computers and Mathematics with Applications | 1999年 / 37卷 / 07期

关键词：

Asymptotic stability - Differential equations - Interpolation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The GPG-stability of Runge-Kutta methods for the numerical solutions of the systems of delay differential equations is considered. The stability behaviour of implicit Runge-Kutta methods (IRK) is analyzed for the solution of the system of linear test equations with multiple delay terms. After an establishment of a sufficient condition for asymptotic stability of the solutions of the system, a criterion of numerical stability of IRK with the Lagrange interpolation process is given for any stepsize of the method.

引用

页码：89 / 97

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