Extrapolation-based implicit-explicit Peer methods with optimised stability regions
Extrapolation-based implicit-explicit Peer methods with optimised stability regions
复制标题
具有优化稳定区域的基于外推的隐式-显式对等方法
DOI：
10.1016/j.jcp.2017.02.034
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发表时间：
2017
期刊：
影响因子：
--
通讯作者：
Hundsdorfer W
中科院分区：
文献类型：
--
作者：
Lang J;Hundsdorfer W
本文研究了一类新的Peer型隐-显（IMEX）两步法，用于求解在源项中同时包含刚性和非刚性部分的常微分方程组.外推方法的基础上已经计算出的阶段值适用于构建IMEX方法具有良好的稳定性。优化IMEX-Peer方法的顺序p= 2，3，4，给出了精心设计的搜索算法的结果，以平衡的稳定区域的大小和外推误差。数值实验和其他隐式显式方法的比较。
In this paper we investigate a new class of implicit–explicit (IMEX) two-step methods of Peer type for systems of ordinary differential equations with both non-stiff and stiff parts included in the source term. An extrapolation approach based on already computed stage values is applied to construct IMEX methods with favourable stability properties. Optimised IMEX-Peer methods of order p= 2, 3, 4, are given as result of a search algorithm carefully designed to balance the size of the stability regions and the extrapolation errors. Numerical experiments and a comparison to other implicit–explicit methods are included.
具有固有龙格-库塔稳定性的精确隐式-显式一般线性方法
影响因子：
2.5
作者：
M. Braś;G. Izzo;Z. Jackiewicz
通讯作者：
Z. Jackiewicz