D. Karpeev

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In this paper we develop the Lagrangian and multisymplectic structures of the Heisenberg magnet (HM) model which are then used as the basis for geometric discretizations of HM. Despite a topological obstruction to the existence of a global Lagrangian density, a local variational formulation allows one to derive local conservation laws using a version of(More)
In this paper we introduce a new method of spatio-temporal discretization for partial differential equations in variational form. This method generalizes the method of Marsden et al in that it uses a systematic approach to discrete jet spaces based on the finite element method. The resulting method is used to derive integrators for the Nonlinear Schrödinger(More)
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