Szczegóły publikacji
Opis bibliograficzny
A new class of strong stability preserving general linear methods / Michał BRAŚ, Giuseppe Izzo, Zdzisław JACKIEWICZ // Journal of Computational and Applied Mathematics ; ISSN 0377-0427. — 2021 — vol. 396 art. no. 113612, s. 1-24. — Bibliogr. s. 23-24, Abstr. — Publikacja dostępna online od: 2021-04-28. — Z. Jackiewicz - dod. afiliacja: Arizona State University, United States of America
Autorzy (3)
- AGHBraś Michał
- Izzo Giuseppe
- AGHJackiewicz Zdzisław
Słowa kluczowe
Dane bibliometryczne
ID BaDAP | 134525 |
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Data dodania do BaDAP | 2021-06-14 |
Tekst źródłowy | URL |
DOI | 10.1016/j.cam.2021.113612 |
Rok publikacji | 2021 |
Typ publikacji | artykuł w czasopiśmie |
Otwarty dostęp | |
Czasopismo/seria | Journal of Computational and Applied Mathematics |
Abstract
We systematically investigate strong stability preserving general linear methods of order , stage order or , with external approximations, and internal approximations, for numerical solution of differential systems. Examples of methods of order and stage order or , with large strong stability preserving coefficients and large regions of absolute stability, are provided for , , and . The results of numerical experiments confirm that the methods constructed in this paper achieve the expected order of accuracy, do not produce spurious oscillations, and they are suitable to preserve the monotonicity of the numerical solution, when applied to discretization of hyperbolic conservation laws with discontinuous initial conditions.