Szczegóły publikacji
Opis bibliograficzny
A new class of G($\epsilon$)-symplectic general linear methods / Michał BRAŚ, Giuseppe Izzo, Zdzisław Jackiewicz // Applied Numerical Mathematics ; ISSN 0168-9274. — 2023 — vol. 183, s. 1–14. — Bibliogr. s. 14, Abstr. — Publikacja dostępna online od: 2022-08-24. — Z. Jackiewicz - afiliacja: Arizona State University, USA
Autorzy (3)
AGHBraś MichałIzzo GiuseppeJackiewicz ZdzisławSłowa kluczowe
Dane bibliometryczne
| ID BaDAP | 142983 |
|---|---|
| Tekst źródłowy | URL |
| DOI | 10.1016/j.apnum.2022.08.010 |
| Rok publikacji | 2023 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Applied Numerical Mathematics |
Abstract
A new class of G(ϵ)-symplectic general linear methods for numerical integration of Hamiltonian systems of differential equations is described. Order conditions for these methods are derived using Albrecht approach and the construction of G(ϵ)-symplectic method is described based on solving minimization problems with nonlinear inequality constrains. Examples of methods up to the order four are presented. Numerical experiments confirm that these methods achieve the expected order of accuracy and that they approximately preserve Hamiltonians of differential systems.