Stability of the symmetric multistep methods for the time-dependent Schrödinger equation

DOI10.1016/0010-4655(95)00085-TzbMath0888.65108OpenAlexW2003924096MaRDI QIDQ1379301

Toshiaki Iitaka, Dan Strottman, Nicolae Carjan

Publication date: 25 February 1998

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

Full work available at URL: https://doi.org/10.1016/0010-4655(95)00085-t

zbMATH Keywords

stabilitytime-dependent Schrödinger equationexplicit symmetric multistep schemeleap frog method

Mathematics Subject Classification ID

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)

Uses Software

• KORALZ

Cites Work

• A comparison of different propagation schemes for the time dependent Schrödinger equation
• General theory of fractal path integrals with applications to many-body theories and statistical physics
• Symmetric Multistip Methods for Periodic Initial Value Problems

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