Some applications of semi-discrete variational integrators to classical field theories

2006/11/27 by Manuel de Leon, Manuel de León, de Leon, Manuel +5
Engineering · Mathematics · Physics and Astronomy · #Advanced Numerical Methods in Computational Mathematics #Computational Fluid Dynamics and Aerodynamics #Numerical methods for differential equations #math-ph #math.MP #msc:37M15 #msc:65P10 #msc:70G75

paper · pdf · doi:10.48550/arxiv.math-ph/0611073

14 pages

arxiv created 2006/11/27 · arxiv updated 2009/12/01

Abstract

We develop a semi-discrete version of discrete variational mechanics with applications to numerical integration of classical field theories. The geometric preservation properties are studied.

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