From retraction maps to symplectic-momentum numerical integrators
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866916106533339136 |
|---|---|
| author | Barbero-Liñán, María Marrero, Juan Carlos de Diego, David Martín |
| author_facet | Barbero-Liñán, María Marrero, Juan Carlos de Diego, David Martín |
| contents | Retraction maps have been generalized to discretization maps in (Barbero Liñán and and Mart\'ın de Diego, 2022). Discretization maps are used to systematically derive numerical integrators that preserve the symplectic structure, as well as the discrete momemtum map under the assumption of symmetric preservation for the discretization map. The procedure described here gives a geometrical construction that can be easily adapted to discretize dynamics on more general structures and open the door to reduction processes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_14800 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | From retraction maps to symplectic-momentum numerical integrators Barbero-Liñán, María Marrero, Juan Carlos de Diego, David Martín Numerical Analysis Symplectic Geometry Retraction maps have been generalized to discretization maps in (Barbero Liñán and and Mart\'ın de Diego, 2022). Discretization maps are used to systematically derive numerical integrators that preserve the symplectic structure, as well as the discrete momemtum map under the assumption of symmetric preservation for the discretization map. The procedure described here gives a geometrical construction that can be easily adapted to discretize dynamics on more general structures and open the door to reduction processes. |
| title | From retraction maps to symplectic-momentum numerical integrators |
| topic | Numerical Analysis Symplectic Geometry |
| url | https://arxiv.org/abs/2401.14800 |