تقرير
From retraction maps to symplectic-momentum numerical integrators
| العنوان: | From retraction maps to symplectic-momentum numerical integrators |
|---|---|
| المؤلفون: | Barbero-Liñán, María, Marrero, Juan Carlos, de Diego, David Martín |
| سنة النشر: | 2024 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Mathematics - Numerical Analysis, Mathematics - Symplectic Geometry |
| الوصف: | Retraction maps have been generalized to discretization maps in (Barbero Li\~n\'an and and Mart\'{\i}n 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. Comment: 4 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2401.14800 |
| رقم الأكسشن: | edsarx.2401.14800 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |