Szczegóły publikacji
Opis bibliograficzny
Construction of algebraically stable DIMSIMs / Giuseppe Izzo, Zdzisław JACKIEWICZ // Journal of Computational and Applied Mathematics ; ISSN 0377-0427. — 2014 — vol. 261, s. 72–84. — Bibliogr. s. 84, Abstr. — Z. Jackiewicz – dod. afiliacja: Arizona State University, USA
Autorzy (2)
- Izzo Giuseppe
- AGHJackiewicz Zdzisław
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 78862 |
|---|---|
| Data dodania do BaDAP | 2014-01-13 |
| Tekst źródłowy | URL |
| DOI | 10.1016/j.cam.2013.10.037 |
| Rok publikacji | 2014 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Journal of Computational and Applied Mathematics |
Abstract
The class of general linear methods for ordinary differential equations combines the advantages of linear multistep methods (high efficiency) and Runge-Kutta methods (good stability properties such as A-, L-, or algebraic stability), while at the same time avoiding the disadvantages of these methods (poor stability of linear multistep methods, high cost for Runge-Kutta methods). In this paper we describe the construction of algebraically stable general linear methods based on the criteria proposed recently by Hewitt and Hill. We also introduce the new concept of epsilon-algebraic stability and investigate its consequences. Examples of epsilon-algebraically stable methods are given up to order p = 4. (C) 2013 Elsevier B.V. All rights reserved.