Chinese Physics Letters · 2008 · 18 citations · 8 references
Natural SciencesMathematicsPhysicsComputational MechanicsComputational PhysicsDifferential EquationsHamiltonian SystemsNumerical Methods For Differential EquationsPartial Differential EquationsSchrödinger EquationSystems Of Differential EquationsVariational FormulationNonlinear Schrödinger EquationNumerical Solution Of The Schrödinger EquationSymplectic FormsSymplectic Integration
We investigate the multi-symplectic Euler-box scheme for the nonlinear Schrödinger equation. Two new simple semi-explicit scheme are derived. A composition scheme based on the new derived schemes is also discussed. Some numerical results are reported to illustrate the efficiency of the new schemes.
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Construction of higher order symplectic integrators
Haruo Yoshida · Physics Letters A · 1990 · 2.3K citations