Szczegóły publikacji
Opis bibliograficzny
Optimal adaptive solution of piecewise regular systems of IVPs with unknown switching hypersurface / Bolesław KACEWICZ, Paweł PRZYBYŁOWICZ // Applied Mathematics and Computation ; ISSN 0096-3003. — 2014 — vol. 228, s. 116–127. — Bibliogr. s. 127, Abstr.
Autorzy (2)
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 78822 |
|---|---|
| Data dodania do BaDAP | 2014-01-11 |
| Tekst źródłowy | URL |
| DOI | 10.1016/j.amc.2013.11.086 |
| Rok publikacji | 2014 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Applied Mathematics and Computation |
Abstract
We study the solution of piecewise regular systems of IVPs with a switching hypersurface defined by an unknown event function. Our aim is to design an algorithm that is not based on heuristic steps, it does not use information on the event function and preserves the order known for regular systems. The algorithm is based on the adaptive mesh which differs from the equidistant mesh only by a single point. We provide a rigorous (that is, independent of heuristic arguments) analysis of its error and cost. (C) 2013 Elsevier Inc. All rights reserved.