Szczegóły publikacji
Opis bibliograficzny
Strong stability preserving general linear methods with Runge-Kutta stability / Giovanna Califano, Giuseppe Izzo, Zdzisław JACKIEWICZ // Journal of Scientific Computing ; ISSN 0885-7474. — 2018 — vol. 76 iss. 2, s. 943–968. — Bibliogr. s. 967–968, Abstr. — Publikacja dostępna online od: 2018-01-18. — Z. Jackiewicz – dod. afiliacja: School of Mathematical and Statistical Sciences, Arizona State University, USA
Autorzy (3)
- Califano G.
- Izzo G.
- AGHJackiewicz Zdzisław
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 118674 |
|---|---|
| Data dodania do BaDAP | 2019-01-16 |
| Tekst źródłowy | URL |
| DOI | 10.1007/s10915-018-0646-5 |
| Rok publikacji | 2018 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Journal of Scientific Computing |
Abstract
We investigate strong stability preserving (SSP) general linear methods (GLMs) for systems of ordinary differential equations. Such methods are obtained by the solution of the minimization problems with nonlinear inequality constrains, corresponding to the SSP property of these methods, and equality constrains, corresponding to order and stage order conditions. These minimization problems were solved by the sequential quadratic programming algorithm implemented in MATLAB (R) subroutine fmincon.m starting with many random guesses. Examples of transformed SSP GLMs of order p = 1, 2, 3, and 4, and stage order q = p have been determined, and suitable starting and finishing procedures have been constructed. The numerical experiments performed on a set of test problems have shown that transformed SSP GLMs constructed in this paper are more accurate than transformed SSP DIMSIMs and SSP Runge-Kutta methods of the same order.