Strong stability preserving implicit–explicit transformed general linear methods

Giuseppe Izzo and Zdzislaw Jackiewicz

Mathematics and Computers in Simulation (MATCOM), 2020, vol. 176, issue C, 206-225

Abstract: We consider the class of implicit–explicit (IMEX) general linear methods (GLMs) to construct methods where the explicit part has strong stability preserving (SSP) property, while the implicit part of the method has inherent Runge–Kutta stability (IRKS) property, and it is A-, or L-stable. We will also investigate the absolute stability of these methods when the implicit and explicit parts interact with each other. In particular, 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(α)-stable for α∈[0,π∕2]. Finally we furnish examples of SSP IMEX GLMs up to the order p=4 and stage order q=p with optimal SSP coefficients.

Keywords: IMEX methods; SSP property; General linear methods; Stability analysis; Inherent Runge–Kutta stability; Construction of highly stable methods (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:176:y:2020:i:c:p:206-225

DOI: 10.1016/j.matcom.2019.11.008

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