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Total Variation in Discrete Multisymplectic Field Theory and Multisymplectic-Energy-Momentum Integrators
Authors:Chen  Jing-Bo
Affiliation:(1) Institute of Theoretical Physics, Chinese Academy of Sciences, PO Box 2735, Beijing, 100080, P.R. China
Abstract:A total variation calculus in discrete multisymplectic field theory is developed in this Letter. Using this discrete total variation calculus, we obtain multisymplectic-energy-momentum integrators. The multisymplectic discretization for the nonlinear Schrödinger equation is also presented.
Keywords:discrete multisymplectic field theory  multisymplectic-energy-momentum integrators  total variation calculus
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