Multisymplectic Geometry, Variational Integrators, and Nonlinear PDEs
نویسندگان
چکیده
منابع مشابه
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 principle. In particular, we prove that a unique multisymplectic structure is obtained by taking...
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We use the idea of nonstandard finite difference methods to derive the discrete variational integrators for multisymplectic PDEs. We obtain a nonstandard finite difference variational integrator for linear wave equation with a triangle discretization and two nonstandard finite difference variational integrators for the nonlinear Klein-Gordon equation with a triangle discretization and a square ...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1998
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s002200050505