A high-order accuracy method for numerical solving of the time-dependent Schrödinger equation

DOI10.1016/S0010-4655(99)00224-6zbMath0941.65080OpenAlexW2068994783MaRDI QIDQ1961779

I. V. Puzynin, S. I. Vinitskij, Alexei V. Selin

Publication date: 20 July 2000

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0010-4655(99)00224-6

zbMATH Keywords

oscillatornumerical experimentsPadé approximationSchrödinger equationMagnus expansionimplicit difference schemesCrank-Nicolson algorithm

Mathematics Subject Classification ID

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

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