The averaged Lagrangian method

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:316

Article; Proceedings Paper

Celledoni, Elena¹  Hoiseth, Eirik Hoel¹ 

[1] NTNU, Dept Math Sci, N-7491 Trondheim, Norway

关键词: Symplectic methods;    Variational integrators;    Averaged vector field method;   

DOI  :  10.1016/j.cam.2016.09.047

来源: Elsevier

【 摘 要 】

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. (C) 2016 Elsevier B.V. All rights reserved.

【 授权许可】

Free