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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…
nlin.PS2004
Predicting rogue waves in random oceanic sea states
Constance Schober, Alvaro Islas
Using the inverse spectral theory of the nonlinear Schrodinger (NLS) equation we correlate the development of rogue waves in oceanic sea states characterized by the JONSWAP spectru…