Symplectic And Multisymplectic Fourier Pseudospectral Discretizations for the Klein–Gordon Equation

Author: Chen Jing-Bo  

Publisher: Springer Publishing Company

ISSN: 0377-9017

Source: Letters in Mathematical Physics, Vol.75, Iss.3, 2006-03, pp. : 293-305

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Abstract

We present symplectic and multisymplectic formulations of the Klein-Gordon equation in this paper. Based on these two formulations, we investigate the corresponding symplectic and multisymplectic Fourier pseudospectral discretizations. The relationship between these two kinds of Fourier pseudospectral discretizations is discussed. Time discretizations are also presented.