Numerical Algorithms for Schrödinger Equation with Artificial Boundary Conditions

DOI10.1080/01630560903393097zbMath1197.65121OpenAlexW1981295737MaRDI QIDQ3405613

Inga Laukaitytė, Raimondas Čiegis, Mindaugas Radziunas

Publication date: 10 February 2010

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560903393097

zbMATH Keywords

error estimatesfinite difference methodnumerical examplesabsorbing boundary conditionSchrödinger equationCrank-Nicolson schemetransparent boundary condition

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (4)

Numerical methods for a class of generalized nonlinear Schrödinger equations ⋮ Cross‐impact of beam local wavenumbers on the efficiency of self‐adaptive artificial boundary conditions for two‐dimensional nonlinear Schrödinger equation ⋮ A New Compact Finite Difference Method for Solving the Generalized Long Wave Equation ⋮ Conservation laws of femtosecond pulse propagation described by generalized nonlinear Schrödinger equation with cubic nonlinearity

Uses Software

• Parsol
• BALaser

Cites Work

• Unnamed Item
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