STABILITY OF GENERAL LINEAR METHODS FOR SYSTEMS OF FUNCTIONAL-DIFFERENTIAL AND FUNCTIONAL EQUATIONS

• 来源期刊: 计算数学(英文版)
• 关键词: Hybrid systems Functional-differential equations Functional equations General linear methods Numerical stability.
• 年，卷（期）: 2005,（1）
• 页码范围: 37-48
• 页数: 12页
• 语种: 英文

摘要

This paper is concerned with the numerical solution of functional-differential and functional equations which include functional-differential equations of neutral type as special cases. The adaptation of general linear methods is considered. It is proved that A-stable general linear methods can inherit the asymptotic stability of underlying linear systems.Some general results of numerical stability are also given.