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
收藏
页码：257 / 270
页数：14
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