Globally conservative properties and error estimation of a multi-symplectic scheme for Schrödinger equations with variable coefficients
Author:
Publisher
Elsevier BV
Subject
Applied Mathematics,Computational Mathematics,Numerical Analysis
Reference45 articles.
1. Hamiltonian integrators for the nonlinear Schrödinger equation;Ablowitz;Internat. J. Modern Phys. C,1994
2. Splitting methods for the time-dependent Schrödinger equation;Blanes;Phys. Lett. A,2000
3. Global Solutions of Nonlinear Schrödinger Equations;Bourgain,1999
4. Multi-symplectic structures and wave propagation;Bridges;Math. Proc. Cambridge Philos. Soc.,1997
5. Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity;Bridges;Phys. Lett. A,2001
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