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.

引用

页码：68 / 77

页数：10

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