Multisymplectic geometry, variational integrators, and nonlinear PDEs

This paper presents a geometric-variational approach to continuous and discrete mechanics and field theories. Using multisymplectic geometry, we show that the existence of the fundamental geometric structures as well as their preservation along solutions can be obtained directly from the variational...

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Bibliographic Details
Main Authors: Marsden, J, Patrick, G, Shkoller, S
Format: Journal article
Published: 1998