Highly stable implicit-explicit Runge-Kutta methods

被引：53

作者：

Izzo, Giuseppe ^{[1
]}

Jackiewicz, Zdzislaw ^{[2
,3
]}

机构：

[1] Univ Naples Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, I-80126 Naples, Italy

[2] Arizona State Univ, Dept Math, Tempe, AZ 85287 USA

[3] AGH Univ Sci & Technol, Krakow, Poland

来源：

APPLIED NUMERICAL MATHEMATICS | 2017年 / 113卷

关键词：

Runge-Kutta methods; Implicit-explicit methods; Stability analysis; Strong stability preserving; Courant-Friedrichs-Levy condition; Hyperbolic conservation laws; HYPERBOLIC SYSTEMS; SCHEMES;

D O I：

10.1016/j.apnum.2016.10.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate implicit-explicit (IMEX) Runge-Kutta (RK) methods for differential systems with non-stiff and stiff processes. The construction of such methods with large regions of absolute stability of the 'explicit part' of the method assuming that the 'implicit part' of the scheme is A-stable, is described. We also describe the construction of IMEX RK methods, where the 'explicit part' of the schemes have strong stability properties. Examples of highly stable IMEX RK methods are provided up to the order p = 4. Numerical examples are also given which illustrate good performance of these schemes. (C) 2016 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：71 / 92

页数：22

共 35 条

[21] A GENERAL-CLASS OF 2-STEP RUNGE-KUTTA METHODS FOR ORDINARY DIFFERENTIAL-EQUATIONS [J].