Szczegóły publikacji
Opis bibliograficzny
Strong stability preserving general linear methods / Giuseppe Izzo, Zdzisław JACKIEWICZ // Journal of Scientific Computing ; ISSN 0885-7474. — 2015 — vol. 65 iss. 1, s. 271–298. — Bibliogr. s. 296–298, Abstr. — Publikacja dostępna online od: 2014-11-27. — Z. Jackiewicz – dod. afiliacja: Arizona State University
Autorzy (2)
- Izzo Giuseppe
- AGHJackiewicz Zdzisław
Słowa kluczowe
Dane bibliometryczne
ID BaDAP | 94833 |
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Data dodania do BaDAP | 2016-01-05 |
Tekst źródłowy | URL |
DOI | 10.1007/s10915-014-9961-7 |
Rok publikacji | 2015 |
Typ publikacji | artykuł w czasopiśmie |
Otwarty dostęp | |
Czasopismo/seria | Journal of Scientific Computing |
Abstract
We investigate the strong stability preserving (SSP) general linear methods with two and three external stages and internal stages. We also describe the construction of starting procedures for these methods. Examples of SSP methods are derived of order , and with stages, which have larger effective Courant-Friedrichs-Levy coefficients than the class of two-step Runge-Kutta methods introduced by Jackiewicz and Tracogna, whose SSP properties were analyzes recently by Ketcheson, Gottlieb, and MacDonald, and the class of multistep multistage methods investigated by Constantinescu and Sandu. Numerical examples illustrate that the class of methods derived in this paper achieve the expected order of accuracy and do not produce spurious oscillations for discretizations of hyperbolic conservation laws, when combined with appropriate discretizations in spatial variables.