ON THE GROSS–PITAEVSKII EQUATION WITH STRONGLY ANISOTROPIC CONFINEMENT: FORMAL ASYMPTOTICS AND NUMERICAL EXPERIMENTS

NLS equations (nonlinear Schrödinger equations) (35Q55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (9)

Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations ⋮ Dimension reduction for rotating Bose-Einstein condensates with anisotropic confinement ⋮ An efficient and conservative compact finite difference scheme for the coupled Gross-Pitaevskii equations describing spin-1 Bose-Einstein condensate ⋮ Time averaging for the strongly confined nonlinear Schrödinger equation, using almost-periodicity ⋮ Strong confinement limit for the nonlinear Schrödinger equation constrained on a curve ⋮ An effective mass theorem for the bidimensional electron gas in a strong magnetic field ⋮ Convergence rate of dimension reduction in Bose-Einstein condensates ⋮ A time-splitting spectral method for computing dynamics of spinor F=1 Bose–Einstein condensates ⋮ Defect-based local error estimators for high-order splitting methods involving three linear operators

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