期刊
APPLIED NUMERICAL MATHEMATICS
卷 130, 期 -, 页码 70-85出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.apnum.2018.03.014
关键词
IMEX peer methods; Superconvergence; Stability
In this paper we will focus on numerical methods for differential equations with both stiff and nonstiff parts. This kind of problems can be treated efficiently by implicit explicit (IMEX) methods and here we investigate a class of s-stage IMEX peer methods of order p = s for variable and p = s + 1 for constant step sizes. They are combinations of s-stage superconvergent implicit and explicit peer methods. We construct methods of order p = s + 1 for s = 3,4,5 where we compute the free parameters numerically to give good stability with respect to a general linear test problem frequently used in the literature. Numerical comparisons with two-step IMEX Runge-Kutta methods confirm the high potential of the new constructed superconvergent IMEX peer methods. (C) 2018 IMACS. Published by Elsevier B.V. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据