Szczegóły publikacji
Opis bibliograficzny
Construction of IMEX methods with inherent Runge-Kutta Stability / Michał BRAŚ, Giuseppe Izzo, Zdzisław JACKIEWICZ // W: ICNAAM 2015 : International conference on Numerical Analysis and Applied Mathematics : Rhodes, Greece 23-29 September 2015. — [Melville : American Institute of Physics], 2016. — (AIP Conference Proceedings ; ISSN 0094-243X ; vol. 1738). — ISBN: 978-0-7354-1392-4. — S. 020009-1–020009-4. — Bibliogr. s. 020009-4, Abstr. — Z. Jackiewicz - dod. afiliacja: Department of Mathematics, Arizona State University, Tempe, Arizona
Autorzy (3)
- AGHBraś Michał
- Izzo Giuseppe
- AGHJackiewicz Zdzisław
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 104446 |
|---|---|
| Data dodania do BaDAP | 2017-03-16 |
| DOI | 10.1063/1.4951753 |
| Rok publikacji | 2016 |
| Typ publikacji | materiały konferencyjne (aut.) |
| Otwarty dostęp |  |
| Konferencja | International Conference on Numerical Analysis and Applied Mathematics 2014 |
| Czasopismo/seria | AIP Conference Proceedings |
Abstract
We describe construction of implicit-explicit (IMEX) general linear methods (GLMs) with inherent Runge-Kutta stability (IRKS) for differential systems with non-stiff and stiff processes. We will use the extrapolation approach to remove implicitness in the non-stiff terms to compute unknown stage values in terms of stage derivatives at the previous step and those already computed in the current step. Highly stable IMEX GLMs of stage order equal to the order were derived up to the order four. These methods do not suffer from order reduction phenomenon which is confirmed by numerical experiments.