An Alternating Direction Method for Schrödinger’s Equation

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1977 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Numerical Analysis, volume 14, pages 1,028-1,032 (issn: 0036-1429, eissn: 1095-7170,

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Authors: Dendy, J. E. jun.;

doi: 10.1137/0714070

An Alternating Direction Method for Schrödinger’s Equation

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Abstract

It is shown that an A.D.I. scheme is applicable to the time-dependence Schrodinger equation and yields an error estimate of O(..delta..t)/sup 2/ + h/sup 2/). The method is also applicable to time-dependent vibration problems provided that the boundary conditions can be properly treated.

Keywords

Error bounds for boundary value problems involving PDEs, Stability and convergence of numerical methods for boundary value problems involving PDEs

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