Construction of highly stable parallel two-step Runge-Kutta methods for delay differential equations

被引：5

作者：

Bartoszewski, Z. ^{[1
]}

Jackiewicz, Z. ^{[2
]}

机构：

[1] Gdansk Univ Technol, Fac Appl Phys & Math, PL-80952 Gdansk, Poland

[2] Arizona State Univ, Dept Math, Tempe, AZ 85287 USA

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2008年 / 220卷 / 1-2期

基金：

美国国家科学基金会;

关键词：

two-step Runge-Kutta methods; delay differential equations; A-stability; P-stability; uniform convergence;

D O I：

10.1016/j.cam.2007.08.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown that any A-stable two-step Runge-Kutta method of order (p) over tilde and stage order q = (p) over tilde for ordinary differential equations can be extended to the P-stable method of uniform order p = (p) over tilde for delay differential equations. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：257 / 270

页数：14

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