Szczegóły publikacji
Opis bibliograficzny
On the construction of second derivative diagonally implicit multistage integration methods for ODEs / A. Abdi, M. BRAŚ, G. Hojjati // Applied Numerical Mathematics ; ISSN 0168-9274. — 2014 — vol. 76, s. 1–18. — Bibliogr. s. 18, Abstr. — Publikacja dostępna online od: 2013-10-25
Autorzy (3)
- Abdi Ali
- AGHBraś Michał
- Hojjati Gholamreza
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 78817 |
|---|---|
| Data dodania do BaDAP | 2014-01-13 |
| Tekst źródłowy | URL |
| DOI | 10.1016/j.apnum.2013.08.006 |
| Rok publikacji | 2014 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Applied Numerical Mathematics |
Abstract
Second derivative diagonally implicit multistage integration methods (SDIMSIMs) as a subclass of second derivative general linear methods (SGLMs) have been divided into four types, depending on the nature of the differential system to be solved and the computer architecture that is used to implement these methods. In this paper, we describe the construction of SDIMSIMs for all types with Runge-Kutta stability property. Examples of (p, q. r, s) SDIMSIMs are given with p=q=r=s <=, 4, where p is the order, q is the stage order, r is the number of external stages, and s is the number of internal stages of the method. Efficiency of the constructed methods is shown by numerical experiments. (C) 2013 IMACS. Published by Elsevier B.V. All rights reserved.