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physics.comp-ph2004
Local Lagrangian Formalism and Discretization of the Heisenberg Magnet Model
D. Karpeev, C. M. Schober
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. Des…
physics.comp-ph2004
Backward error analysis for multisymplectic discretizations of Hamiltonian PDEs
Alvaro L. Islas, Constance M. Schober
Several recently developed multisymplectic schemes for Hamiltonian PDEs have been shown to preserve associated local conservation laws and constraints very well in long time numeri…