تقرير
Gauss collocation methods for efficient structure preserving integration of post-Newtonian equations of motion
| العنوان: | Gauss collocation methods for efficient structure preserving integration of post-Newtonian equations of motion |
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| المؤلفون: | Seyrich, Jonathan |
| سنة النشر: | 2013 |
| المجموعة: | Physics (Other) |
| مصطلحات موضوعية: | Physics - Computational Physics |
| الوصف: | In this work, we present the hitherto most efficient and accurate method for the numerical integration of post-Newtonian equations of motion. We first transform the Poisson system as given by the post-Newtonian approximation to canonically symplectic form. Then we apply Gauss Runge-Kutta schemes to numerically integrate the resulting equations. This yields a convenient method for the structure preserving long-time integration of post-Newtonian equations of motion. In extensive numerical experiments, this approach turns out to be faster and more accurate i) than previously proposed structure preserving splitting schemes and ii) than standard explicit Runge-Kutta methods. Comment: 13 pages, 17 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevD.87.084064 |
| URL الوصول: | http://arxiv.org/abs/1302.4580 |
| رقم الأكسشن: | edsarx.1302.4580 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PhysRevD.87.084064 |
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