Design, analysis and testing of some parallel two-step W-methods for stiff systems

被引：16
|
作者：
Podhaisky, H
Schmitt, BA
Weiner, R [1 ]
机构：
[1] Univ Halle Wittenberg, FB Math & Informat, D-06099 Halle Saale, Germany
[2] Univ Marburg, Fachbereich Math, D-35032 Marburg, Germany
来源：
APPLIED NUMERICAL MATHEMATICS | 2002年 / 42卷 / 1-3期
关键词：
stiff ODEs; parallel methods for ODEs; two-step W-methods;
D O I：
10.1016/S0168-9274(01)00162-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Parallel two-step W-methods are linearly-implicit integration methods where the s stage values can be computed in parallel. We construct methods of stage order q = s and order p = s with favourable stability properties. Generalizations for the concepts of A- and L-stability are proposed and conditions for stiff accuracy are given. Numerical comparisons on a shared memory computer show the efficiency of the methods, especially in combination with Krylov-techniques for large stiff systems. (C) 2001 IMACS. Published by Elsevier Science B.V. All rights reserved.
引用
收藏
页码：381 / 395
页数：15
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