Parallel two-step ROW-methods for stiff delay differential equations

被引：6
作者：
Zhu, Qiao [1 ]
Xiao, Aiguo [1 ]
机构：
[1] Xiangtan Univ, Sch Math & Computat Sci, Hunan Key Lab Computat & Simulat Sci & Engn, Xiangtan 410005, Hunan, Peoples R China
来源：
APPLIED NUMERICAL MATHEMATICS | 2009年 / 59卷 / 08期
关键词：
Stiff delay differential equations; Parallel two-step ROW-methods; GP- and GPL-stability; Order of consistency; Stage order; Order conditions; Real-time simulation; RUNGE-KUTTA METHODS; SINGULAR PERTURBATION PROBLEMS; W-METHODS; ORDER CONDITIONS; ROSENBROCK METHODS; STABILITY; SYSTEMS; CONSTRUCTION;
D O I：
10.1016/j.apnum.2009.01.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, parallel two-step ROW-methods (PTSROW methods) for the numerical solution to stiff delay differential equations are discussed. The stability behaviors of PTSROW methods are analyzed. It is shown that a PTSROW method is GP-stable or GPL-stable if and only if it is A-stable or L-stable respectively. Furthermore, the order (order of consistency and stage-orcler) conditions of PTSROW methods by using tree theory and B-series are presented. Some L-stable PTSROW methods and real-time PTSROW methods are constructed. The efficiency of these ROW-methods is shown by some numerical simulation experiments in parallel environment. (C) 2009 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：1768 / 1778
页数：11
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