Dispersion relation equation preserving FDTD method for nonlinear cubic Schrödinger equation

DOI10.1016/j.jcp.2015.06.023zbMath1351.81022OpenAlexW855385712MaRDI QIDQ729204

Tony Wen-Hann Sheu, Le Lin

Publication date: 20 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2015.06.023

zbMATH Keywords

cubic Schrödinger equationmethod of fractional stepsdispersion relation equationexplicit symplectic schemefour temporal steps

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Computational methods for problems pertaining to quantum theory (81-08) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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