Fast calculation of energy and mass preserving solutions of Schrödinger-Poisson systems on unbounded domains

DOI10.1016/j.cam.2005.03.026zbMath1082.65082OpenAlexW2144922956MaRDI QIDQ2575095

Andrea Zisowsky, Matthias Ehrhardt

Publication date: 5 December 2005

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.2005.03.026

zbMATH Keywords

numerical examplefinite differencesSchrödinger equationdifference equationSchrödinger-Poisson systemdiscrete transparent boundary conditionsNewton potentialCrank-Nicolson-type predictor-corrector scheme

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) PDEs in connection with quantum mechanics (35Q40)

Related Items (11)

SAV Galerkin-Legendre spectral method for the nonlinear Schrödinger-possion equations ⋮ Discrete non-local boundary conditions for split-step Padé approximations of the one-way Helmholtz equation ⋮ A novel, structure-preserving, second-order-in-time relaxation scheme for Schrödinger-Poisson systems ⋮ A FAST, STABLE AND ACCURATE NUMERICAL METHOD FOR THE BLACK–SCHOLES EQUATION OF AMERICAN OPTIONS ⋮ A short note on simplified pseudospectral methods for computing ground state and dynamics of spherically symmetric Schrödinger-Poisson-Slater system ⋮ A Fourier spectral-discontinuous Galerkin method for time-dependent 3-D Schrödinger-Poisson equations with discontinuous potentials ⋮ A splitting Chebyshev collocation method for Schrödinger-Poisson system ⋮ On the computation of ground state and dynamics of Schrödinger-Poisson-Slater system ⋮ Numerical methods for computing ground states and dynamics of nonlinear relativistic Hartree equation for boson stars ⋮ Absorbing boundary conditions for the one-dimensional Schrödinger equation with an exterior repulsive potential ⋮ An analysis of the finite-difference method for one-dimensional Klein-Gordon equation on unbounded domain

Uses Software

• RODAS

Cites Work

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• A variational approach to the Schrödinger-Poisson system: asymptotic behaviour, breathers, and stability

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