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

Bao, Weizhu; Jaksch, Dieter

SIAM J. Numer. Anal. 41, No. 4, 1406-1426 (2003).

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

Keywords:

damped nonlinear Schrödinger equation; time-splitting sine-spectral method; Gross-Pitaevskii equation; Bose-Einstein condensate; complex Ginzburg-Landau equation