A class of explicit two-step Runge-Kutta methods with enlarged stability regions for parallel computers

被引：0
|
作者：
Podhaisky, H [1 ]
Weiner, R [1 ]
机构：
[1] Univ Halle Wittenberg, Inst Numer Math, D-06120 Halle, Germany
来源：
PARALLEL COMPUTATION | 1999年 / 1557卷
关键词：
Runge-Kutta methods; parallelism; two-step methods; stability AMS(MOS) subject classification (1991); 65M12; 65M20;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper we study a class of explicit pseudo two-step Runge-Kutta (EPTRK) methods for first-order ODEs for parallel computers. We investigate linear stability and derive methods with enlarged stability regions. In numerical experiments on a shared memory computer we compare a parallel variable step size EPTRK implementation with the efficient sequential Runge-Kutta method dopri5.
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页码：68 / 77
页数：10
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