Stability of a Numerov type finite-difference scheme with approximate transparent boundary conditions for the nonstationary Schrödinger equation on the half-axis
type: Item
instance of: scholarly article
title: Stability of a Numerov type finite-difference scheme with approximate transparent boundary conditions for the nonstationary Schrödinger equation on the half-axis
zbMATH Open document ID: 1256.65086
author: A. V. Lapukhina
author: Alexander Zlotnik
published in: Journal of Mathematical Sciences (New York)
publication date: 2011-06-30T00:00:00Z
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35Q55
zbMATH DE Number: 5915270
zbMATH Keywords: initial-boundary value problem
zbMATH Keywords: Schrödinger equation
zbMATH Keywords: symmetric finite-difference scheme
zbMATH Keywords: stability
MaRDI profile type: Publication
full work available at URL: s10958-010-0040-9
OpenAlex ID: W2025064353
cites work: Q5268541
cites work: Discrete transparent boundary conditions for the Schrödinger equation
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: Family of finite-difference schemes with transparent boundary conditions for the nonstationary Schrödinger equation in a semi-infinite strip
cites work: Discrete transparent boundary conditions for the Schrödinger equation -- a compact higher order scheme
cites work: Q3753420
DOI: 10.1007/S10958-010-0040-9
Recommended article: Stability of a symmetric finite-difference scheme with approximate transparent boundary conditions for the time-dependent Schrödinger equation
Recommended article: Family of finite-difference schemes with approximate transparent boundary conditions for the generalized nonstationary Schrödinger equation in a semi-infinite strip
Recommended article: Family of finite-difference schemes with transparent boundary conditions for the nonstationary Schrödinger equation in a semi-infinite strip
Recommended article: On stability of the Crank-Nicolson scheme with approximate transparent boundary conditions for the Schrödinger equation. I
Recommended article: On stability of the Crank-Nicolson scheme with approximate transparent boundary conditions for the Schrödinger equation. II.
Recommended article: On a family of finite-difference schemes with approximate transparent boundary conditions for a generalized 1D Schrödinger equation
Recommended article: Q3678617
Recommended article: On a Numerov-Crank-Nicolson-Strang scheme with discrete transparent boundary conditions for the Schrödinger equation on a semi-infinite strip
Recommended article: Numerical stability of explicit Runge-Kutta finite-difference schemes for the nonlinear Schrödinger equation
Recommended article: Finite element method with discrete transparent boundary conditions for the one-dimensional nonstationary Schrödinger equation
description: scientific article; zbMATH DE number 5915270