A Fourier spectral-discontinuous Galerkin method for time-dependent 3-D Schrödinger-Poisson equations with discontinuous potentials

DOI10.1016/j.cam.2007.09.025zbMath1146.65072OpenAlexW1986007843MaRDI QIDQ939563

Wei Cai, Tiao Lu

Publication date: 22 August 2008

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2007.09.025

zbMATH Keywords

discontinuous Galerkin methodspectral methodderivative matrixdiscontinuous potentialsSchrödinger Newton equationsSchrödinger Poisson equationstotal-scattering wave formula

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

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