Szczegóły publikacji
Opis bibliograficzny
Search for efficient general linear methods for ordinary differential equations / M. BRAŚ, Z. JACKIEWICZ // Journal of Computational and Applied Mathematics ; ISSN 0377-0427. — 2014 — vol. 262, s. 180–192. — Bibliogr. s. 192, Abstr. — M. Braś – dod. afiliacja: Jagiellonian University ; Z. Jackiewicz – dod. afiliacja: Arizona State University. — 13-NUMDIFF : 13th seminar Numerical Solution of Differential and Differential-Algebraic Equations : Halle, Germany, 10–14 September 2012
Autorzy (2)
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 86687 |
|---|---|
| Data dodania do BaDAP | 2015-01-13 |
| Tekst źródłowy | URL |
| DOI | 10.1016/j.cam.2013.07.032 |
| Rok publikacji | 2014 |
| Typ publikacji | referat w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Journal of Computational and Applied Mathematics |
Abstract
We analyze implicit general linear methods with s internal stages and r = s + 1 external stages of order p = s + 1 and stage order q = s or q = s + 1. These methods might eventually lead to more efficient formulas than the class of DIMSIMs and the class of general linear methods with inherent Runge Kutta stability. We analyze also error propagation and estimation of local discretization errors. Examples of such methods which are A- and L-stable are derived up to the stage order g = 3 or q = 4 and order p = 4. (C) 2013 Elsevier B.V. All rights reserved.