| Autor: |
Dina Razafindralandy, Vladimir Salnikov, Aziz Hamdouni, Ahmad Deeb |
| Jazyk: |
angličtina |
| Rok vydání: |
2019 |
| Předmět: |
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| Zdroj: |
Advanced Modeling and Simulation in Engineering Sciences, Vol 6, Iss 1, Pp 1-29 (2019) |
| Druh dokumentu: |
article |
| ISSN: |
2213-7467 |
| DOI: |
10.1186/s40323-019-0130-2 |
| Popis: |
Abstract This article reviews some integrators particularly suitable for the numerical resolution of differential equations on a large time interval. Symplectic integrators are presented. Their stability on exponentially large time is shown through numerical examples. Next, Dirac integrators for constrained systems are exposed. An application on chaotic dynamics is presented. Lastly, for systems having no exploitable geometric structure, the Borel–Laplace integrator is presented. Numerical experiments on Hamiltonian and non-Hamiltonian systems are carried out, as well as on a partial differential equation. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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