تقرير
Superconvergence of Galerkin variational integrators
| العنوان: | Superconvergence of Galerkin variational integrators |
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| المؤلفون: | Ober-Blöbaum, Sina, Vermeeren, Mats |
| المصدر: | IFAC-PapersOnLine Volume 54, Issue 19, 2021, Pages 327-333 |
| سنة النشر: | 2021 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Mathematics - Numerical Analysis |
| الوصف: | We study the order of convergence of Galerkin variational integrators for ordinary differential equations. Galerkin variational integrators approximate a variational (Lagrangian) problem by restricting the space of curves to the set of polynomials of degree at most $s$ and approximating the action integral using a quadrature rule. We show that, if the quadrature rule is sufficiently accurate, the order of the integrators thus obtained is $2s$. Comment: 7 pages, no figures. This work has been submitted to IFAC for possible publication |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1016/j.ifacol.2021.11.098 |
| URL الوصول: | http://arxiv.org/abs/2104.12221 |
| رقم الأكسشن: | edsarx.2104.12221 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1016/j.ifacol.2021.11.098 |
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