Family of finite-difference schemes with transparent boundary conditions for the nonstationary Schrödinger equation in a semi-infinite strip
type: Item
instance of: scholarly article
title: Family of finite-difference schemes with transparent boundary conditions for the nonstationary Schrödinger equation in a semi-infinite strip
zbMATH Open document ID: 1236.65116
DOI: 10.1134/S1064562411010066
author: I. A. Zlotnik
author: Alexander Zlotnik
published in: Doklady Mathematics
publication date: 2012-01-17T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35Q41
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 5998316
zbMATH Keywords: initial-boundary value problem
zbMATH Keywords: generalized Schrödinger equation
zbMATH Keywords: two-level finite-difference schemes
zbMATH Keywords: transparent boundary condition
zbMATH Keywords: stability
MaRDI profile type: Publication
cites work: Discrete transparent boundary conditions for the Schrödinger equation: fast calculation, approximation, and stability
cites work: On stability of the Crank-Nicolson scheme with approximate transparent boundary conditions for the Schrödinger equation. I
cites work: On stability of the Crank-Nicolson scheme with approximate transparent boundary conditions for the Schrödinger equation. II.
cites work: On a family of finite-difference schemes with approximate transparent boundary conditions for a generalized 1D Schrödinger equation
cites work: Discrete transparent boundary conditions for Schrödinger-type equations
cites work: Unconditionally stable discretization schemes of non-reflecting boundary conditions for the one-dimensional Schrödinger equation.
cites work: A finite-difference method for the one-dimensional time-dependent Schrödinger equation on unbounded domain
cites work: Discrete transparent boundary conditions for the Schrödinger equation -- a compact higher order scheme
full work available at URL: s1064562411010066
OpenAlex ID: W1964669383
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description: scientific article; zbMATH DE number 5998316