تقرير
A new perspective on symplectic integration of constrained mechanical systems via discretization maps
| العنوان: | A new perspective on symplectic integration of constrained mechanical systems via discretization maps |
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| المؤلفون: | Liñán, María Barbero, de Diego, David Martín, de Almagro, Rodrigo T. Sato Martín |
| سنة النشر: | 2023 |
| المجموعة: | Computer Science Mathematics Mathematical Physics |
| مصطلحات موضوعية: | Mathematics - Numerical Analysis, Mathematical Physics |
| الوصف: | A new procedure to construct symplectic methods for constrained mechanical systems is developed in this paper. The definition of a map coming from the notion of retraction maps allows to adapt the continuous problem to the discretization rule rather than viceversa. As a result, the constraint submanifold is exactly preserved by the discrete flow and the extension of the methods to the case of non-linear configuration spaces is straightforward. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2306.06786 |
| رقم الأكسشن: | edsarx.2306.06786 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |