Transformed implicit-explicit DIMSIMs with strong stability preserving explicit part

被引：0
作者：
G. Izzo
Z. Jackiewicz
机构：
[1] Università degli Studi di Napoli Federico II,
[2] Arizona State University,undefined
[3] AGH University of Science and Technology,undefined
来源：
Numerical Algorithms | 2019年 / 81卷
关键词：
IMEX methods; SSP property; General linear methods; DIMSIMs; Stability analysis; Construction of highly stable methods;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
For many systems of differential equations modeling problems in science and engineering, there are often natural splittings of the right hand side into two parts, one of which is non-stiff or mildly stiff, and the other part is stiff. Such systems can be efficiently treated by a class of implicit-explicit (IMEX) diagonally implicit multistage integration methods (DIMSIMs), where the stiff part is integrated by an implicit formula, and the non-stiff part is integrated by an explicit formula. We will construct methods where the explicit part has strong stability preserving (SSP) property, and the implicit part of the method is A-, or L-stable. We will also investigate stability of these methods when the implicit and explicit parts interact with each other. To be more precise, we will monitor the size of the region of absolute stability of the IMEX scheme, assuming that the implicit part of the method is A-, or L-stable. Finally, we furnish examples of SSP IMEX DIMSIMs up to the order four with good stability properties.
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页码：1343 / 1359
页数：16
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