Multi-symplectic methods for generalized Schrödinger equations
AL Islas, CM Schober - Future Generation Computer Systems, 2003 - Elsevier
AL Islas, CM Schober
Future Generation Computer Systems, 2003•ElsevierRecent results on spectral and finite difference multi-symplectic schemes for one-and two-
dimensional PDEs are discussed. Multi-symplectic schemes for the one-dimensional
nonlinear Schrödinger equation and the two-dimensional Gross–Pitaevskii equation are
developed. The new schemes exactly preserve a discrete multi-symplectic conservation law.
The conservation of local energy and momentum is examined as well as preservation of
several global invariants.
dimensional PDEs are discussed. Multi-symplectic schemes for the one-dimensional
nonlinear Schrödinger equation and the two-dimensional Gross–Pitaevskii equation are
developed. The new schemes exactly preserve a discrete multi-symplectic conservation law.
The conservation of local energy and momentum is examined as well as preservation of
several global invariants.
Recent results on spectral and finite difference multi-symplectic schemes for one- and two-dimensional PDEs are discussed. Multi-symplectic schemes for the one-dimensional nonlinear Schrödinger equation and the two-dimensional Gross–Pitaevskii equation are developed. The new schemes exactly preserve a discrete multi-symplectic conservation law. The conservation of local energy and momentum is examined as well as preservation of several global invariants.
Elsevier
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