scientific article; zbMATH DE number 5583673

zbMATH Open1174.65040MaRDI QIDQ5319167

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Publication date: 22 July 2009

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zbMATH Keywords

error estimatesnumerical experimentssemidiscretizationnonlinear Schrödinger equationsLegendre spectral element methodsecond-order implicit difference scheme

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (4)

SPECTRAL APPROXIMATION OF A SCHRÖDINGER TYPE EQUATION ⋮ A spectral method for the bidimensional Maxwell-Bloch equations in nonlinear crystals ⋮ Split-step spectral method for nonlinear Schrödinger equation with constant background intensities ⋮ Krylov subspace spectral methods for the time-dependent Schrödinger equation with non-smooth potentials

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