Szczegóły publikacji
Opis bibliograficzny
Transformed implicit-explicit DIMSIMs with strong stability preserving explicit part / G. Izzo, Z. JACKIEWICZ // Numerical Algorithms ; ISSN 1017-1398. — 2019 — vol. 81 iss. 4 spec. iss., s. 1343–1359. — Bibliogr. s. 1359, Abstr. — Publikacja dostępna online od: 2019-01-03. — Z. Jackiewicz - pierwsza afiliacja: Arizona State University, Tempe, Arizona, USA. — ANODE 2018 : Auckland Numerical Ordinary Differential Equations Conference : February 19-23, 2018, Auckland, New Zealand
Autorzy (2)
- Izzo Giuseppe
- AGHJackiewicz Zdzisław
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 124068 |
|---|---|
| Data dodania do BaDAP | 2019-11-16 |
| Tekst źródłowy | URL |
| DOI | 10.1007/s11075-018-0647-3 |
| Rok publikacji | 2019 |
| Typ publikacji | referat w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Numerical Algorithms |
Abstract
For many systems of differential equations modeling problems in science and engineering, there are often natural splittings of the right hand side into two parts, one of which is non-stiff or mildly stiff, and the other part is stiff. Such systems can be efficiently treated by a class of implicit-explicit (IMEX) diagonally implicit multistage integration methods (DIMSIMs), where the stiff part is integrated by an implicit formula, and the non-stiff part is integrated by an explicit formula. We will construct methods where the explicit part has strong stability preserving (SSP) property, and the implicit part of the method is A-, or L-stable. We will also investigate stability of these methods when the implicit and explicit parts interact with each other. To be more precise, 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-, or L-stable. Finally, we furnish examples of SSP IMEX DIMSIMs up to the order four with good stability properties.