ON THE ACCURACY OF SOME ABSORBING BOUNDARY CONDITIONS FOR THE SCHRODINGER EQUATION

DOI10.3846/13926292.2017.1306725zbMath1488.65222OpenAlexW2602906091MaRDI QIDQ5015462

Teresė Leonavičienė, Andrej Bugajev, Julius Žilinskas, Rima Kriauzienė, Raimondas Čiegis

Publication date: 8 December 2021

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3846/13926292.2017.1306725

zbMATH Keywords

finite difference methodapproximationSchrödinger equationrational functionsnonlocal boundary conditionsabsorbing boundary conditions

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Approximation by rational functions (41A20) Finite difference methods for boundary value problems involving PDEs (65N06) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (2)

Influence of complex coefficients on the stability of difference scheme for parabolic equations with non-local conditions ⋮ A THREE-LEVEL PARALLELISATION SCHEME AND APPLICATION TO THE NELDER-MEAD ALGORITHM

Cites Work

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• ``Free-space boundary conditions for the time dependent wave equation
• Unconditionally stable discretization schemes of non-reflecting boundary conditions for the one-dimensional Schrödinger equation.
• Simplicial Global Optimization
• EFFECTIVE NUMERICAL INTEGRATION OF TRAVELING WAVE MODEL FOR EDGE‐EMITTING BROAD‐AREA SEMICONDUCTOR LASERS AND AMPLIFIERS
• Transparent and absorbing boundary conditions for the schrödinger equation in a bounded domain
• Design of Absorbing Boundary Conditions for Schrödinger Equations in $\mathbbR$^d
• An efficient method for finding the minimum of a function of several variables without calculating derivatives
• A Simplex Method for Function Minimization
• Global optimization
• Introduction to global optimization.
• Implementation of transparent boundaries for numerical solution of the Schröder equation.
• Remarks on discrete and semi-discrete transparent boundary conditions for solving the time-dependent Schrödinger equation on the half-axis

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