Parareal Algorithms Implemented with IMEX Runge-Kutta Methods

被引：5

作者：

Wang, Zhiyong ^{[1
]}

Wu, Shulin ^{[2
]}

机构：

[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 610731, Sichuan, Peoples R China

[2] Sichuan Univ Sci & Engn, Sch Sci, Zigong 643000, Sichuan, Peoples R China

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2015年 / 2015卷

关键词：

TIME DISCRETIZATION; PARALLEL; STABILITY; CONVERGENCE; INTEGRATORS; SCHEMES; SYSTEMS;

D O I：

10.1155/2015/395340

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Parareal algorithm is a very powerful parallel computation method and has received much interest from many researchers over the past few years. The aim of this paper is to investigate the performance of parareal algorithm implemented with IMEX Runge-Kutta (RK) methods. A stability criterion of the parareal algorithm coupled with IMEX RK methods is established and the advantage (in the sense of stability) of implementing with this kind of RK methods is numerically investigated. Finally, numerical examples are given to illustrate the efficiency and performance of different parareal methods.

引用

页数：12

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