Regularity properties of Runge-Kutta methods for delay differential equations

被引：2

作者：

Jackiewicz, Z

Vermiglio, R

Zennaro, M

机构：

[1] UNIV UDINE,DIPARTIMENTO MATEMAT & INFORMAT,I-33100 UDINE,ITALY

[2] UNIV TRIESTE,DIPARTIMENTO SCI MATEMAT,I-34100 TRIESTE,ITALY

来源：

APPLIED NUMERICAL MATHEMATICS | 1997年 / 24卷 / 2-3期

基金：

美国国家科学基金会;

关键词：

Runge-Kutta method; delay differential equation; asymptotic values;

D O I：

10.1016/S0168-9274(97)00025-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Conditions are investigated which guarantee that Runge-Kutta methods preserve the asymptotic values of systems of delay differential equations, Such methods are said to be strongly regular, A constructive test for strong regularity is derived and examples of such methods are presented for s = p = 2 and s = p = 3, where s is the number of stages and p is the order of the method. (C) 1997 Elsevier Science B.V.

引用

页码：265 / 278

页数：14

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