Discrete absorbing boundary conditions for Schrödinger-type equations. Practical implementation

DOI10.1090/S0025-5718-03-01548-5zbMath1034.65075OpenAlexW2038327167MaRDI QIDQ4433123

Nuria Reguera, Isaías Alonso-Mallo

Publication date: 29 October 2003

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-03-01548-5

zbMATH Keywords

Schrödinger equationtransparent boundary conditionsabsorbing boundary conditions

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (7)

A high order finite element discretization with local absorbing boundary conditions of the linear Schrödinger equation ⋮ Generalized finite-difference time-domain method with absorbing boundary conditions for solving the nonlinear Schrödinger equation on a GPU ⋮ Cross‐impact of beam local wavenumbers on the efficiency of self‐adaptive artificial boundary conditions for two‐dimensional nonlinear Schrödinger equation ⋮ Enhancement of ABCs efficiency at computer simulation of optical pulse interaction with inhomogeneous nonlinear medium ⋮ Self-adapting absorbing boundary conditions for the wave equation ⋮ Analysis of a third-order absorbing boundary condition for the Schrödinger equation discretized in space. ⋮ On the stability of boundary conditions for molecular dynamics

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