The averaged Lagrangian method

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• 作者：Elena Celledoni ^{elena.celledoni@math.ntnu.no} ; Eirik Hoel Hø ; iseth ; ^{eirik.hoiseth@math.ntnu.no}
• 关键词：Symplectic methods ; Variational integrators ; Averaged vector field method
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2017
• 出版时间：15 May 2017
• 年：2017
• 卷：316
• 期：Complete
• 页码：161-174
• 全文大小：4698 K
• 卷排序：316

文摘

In this paper we present a new class of symplectic methods, namely variational integrators employing the same integral averaging found in the averaged vector field method. Extensions to higher order are obtained using a collocation approach. The obtained methods are time-symmetric P-series methods.The proposed methods are compared with existing integrators. The tests focus on highly oscillatory problems, like the Fermi-Pasta–Ulam problem.