Numerical Analysis for a Class of Variational Integrators

In this paper, we study a geometric framework for second-order differential systems arising in classical and relativistic mechanics. For this class of systems, we derive necessary and sufficient conditions for their Lagrangian description. The main objectives of this work are to construct efficient...

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Bibliographic Details
Published in:	Mathematics (Basel) Vol. 13; no. 15; p. 2326
Main Authors:	Shen, Yihan, Sun, Yajuan
Format:	Journal Article
Language:	English
Published:	Basel MDPI AG 01.08.2025
Subjects:	Analysis Charged particles Differential equations Integrators inverse variational problem Kepler problem Mechanics modified Lagrangian Noether’s theorem Numerical analysis Numerical integration Numerical methods Partial differential equations variational integrator China Germany
ISSN:	2227-7390, 2227-7390
Online Access:	Get full text
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