An accurate eighth order exponentially-fitted method for the efficient solution of the Schrödinger equation

DOI10.1016/S0010-4655(99)00459-2zbMath0976.65060OpenAlexW1995711608MaRDI QIDQ1973545

Theodore E. Simos

Publication date: 13 January 2002

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

Full work available at URL: https://doi.org/10.1016/s0010-4655(99)00459-2

zbMATH Keywords

error analysisSchrödinger equationvariable stepsizeexponentially fitted method

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for numerical methods for ordinary differential equations (65L70) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (2)

A generator of dissipative methods for the numerical solution of the Schrödinger equation ⋮ The solution of stationary ODE problems in quantum mechanics by Magnus methods with stepsize control

Uses Software

• Maple

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