Eight-stage pseudo-symplectic Runge-Kutta methods of order (4, 8)
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866910829003145216 |
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| author | Stepanov, Misha |
| author_facet | Stepanov, Misha |
| contents | Using simplifying assumptions that are related to the time reversal symmetry, a 1-dimensional family of 8-stage pseudo-symplectic Runge-Kutta methods of order (4, 8), i.e., methods of order 4 that preserve symplectic structure up to order 8, is derived. An example of 7-stage method of order (4, 9) is given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_09335 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Eight-stage pseudo-symplectic Runge-Kutta methods of order (4, 8) Stepanov, Misha Numerical Analysis 65L05, 65L06 Using simplifying assumptions that are related to the time reversal symmetry, a 1-dimensional family of 8-stage pseudo-symplectic Runge-Kutta methods of order (4, 8), i.e., methods of order 4 that preserve symplectic structure up to order 8, is derived. An example of 7-stage method of order (4, 9) is given. |
| title | Eight-stage pseudo-symplectic Runge-Kutta methods of order (4, 8) |
| topic | Numerical Analysis 65L05, 65L06 |
| url | https://arxiv.org/abs/2301.09335 |