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Numerical simulation of nonlinear Schrödinger systems: A new conservative scheme. (English) Zbl 0832.65136

A new numerical scheme, conserving the energy and charge, for nonlinear Schrödinger type equations is presented.

MSC:

65Z05 Applications to the sciences
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
35Q55 NLS equations (nonlinear Schrödinger equations)
81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
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