Energy conserving nonholonomic integrators
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arXiv
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| Format: | Preprint |
| Published: |
2002
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| _version_ | 1866914099427803136 |
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| author | Cortes, Jorge |
| author_facet | Cortes, Jorge |
| contents | We address the problem of constructing numerical integrators for nonholonomic Lagrangian systems that enjoy appropriate discrete versions of the geometric properties of the continuous flow, including the preservation of energy. Building on previous work on time-dependent discrete mechanics, our approach is based on a discrete version of the Lagrange-d'Alembert principle for nonautonomous systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_0209314 |
| institution | arXiv |
| publishDate | 2002 |
| record_format | arxiv |
| spellingShingle | Energy conserving nonholonomic integrators Cortes, Jorge Numerical Analysis Differential Geometry 37J60; 37M15 We address the problem of constructing numerical integrators for nonholonomic Lagrangian systems that enjoy appropriate discrete versions of the geometric properties of the continuous flow, including the preservation of energy. Building on previous work on time-dependent discrete mechanics, our approach is based on a discrete version of the Lagrange-d'Alembert principle for nonautonomous systems. |
| title | Energy conserving nonholonomic integrators |
| topic | Numerical Analysis Differential Geometry 37J60; 37M15 |
| url | https://arxiv.org/abs/math/0209314 |