Implicit-explicit methods based on strong stability preserving multistep time discretizations

被引:8
|
作者
Gjesdal, Thor [1 ]
机构
[1] Norwegian Def Res Establishment, NO-2027 Kjeller, Norway
关键词
implicit-explicit methods; strong stability preserving methods; advection-diffusion equation; stability;
D O I
10.1016/j.apnum.2006.09.001
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this note we propose and analyze novel implicit-explicit methods based on second order strong stability preserving multistep time discretizations. Several schemes are developed, and a linear stability analysis is performed to study their properties with respect to the implicit and explicit eigenvalues. One of the proposed schemes is found to have very good stability properties, with implicit A-stability for the entire explicit stability domain. The properties of the other proposed schemes are comparable to those of traditional methods found in the literature. (c) 2006 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码:911 / 919
页数:9
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