期刊
APPLIED NUMERICAL MATHEMATICS
卷 113, 期 -, 页码 71-92出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.apnum.2016.10.018
关键词
Runge-Kutta methods; Implicit-explicit methods; Stability analysis; Strong stability preserving; Courant-Friedrichs-Levy condition; Hyperbolic conservation laws
资金
- INdAM-GNCS
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.
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