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An explicit unconditionally stable numerical method for solving damped nonlinear Schrödinger equations with a focusing nonlinearity. (English) Zbl 1054.35088

MSC:
35Q55 NLS equations (nonlinear Schrödinger equations)
65T40 Numerical methods for trigonometric approximation and interpolation
65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
65N35 Spectral, collocation and related methods for boundary value problems involving PDEs
81-08 Computational methods for problems pertaining to quantum theory
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