Symplectic integration with Jacobi polynomials
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2018
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866911068105736192 |
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| author | Tang, Wensheng |
| author_facet | Tang, Wensheng |
| contents | In this paper, we study symplectic integration of canonical Hamiltonian systems with Jacobi polynomials. The relevant theoretical results of continuous-stage Runge-Kutta methods are revisited firstly and then symplectic methods with Jacobi polynomials will be established. A few numerical experiments are well performed to verify the efficiency of our new methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1806_03380 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Symplectic integration with Jacobi polynomials Tang, Wensheng Numerical Analysis In this paper, we study symplectic integration of canonical Hamiltonian systems with Jacobi polynomials. The relevant theoretical results of continuous-stage Runge-Kutta methods are revisited firstly and then symplectic methods with Jacobi polynomials will be established. A few numerical experiments are well performed to verify the efficiency of our new methods. |
| title | Symplectic integration with Jacobi polynomials |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/1806.03380 |