A new finite difference scheme adapted to the one-dimensional Schrödinger equation

DOI10.1007/BF00948481zbMath0786.65106OpenAlexW2109925769MaRDI QIDQ687417

Geurts, Bernard J.

Publication date: 24 October 1993

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00948481

zbMATH Keywords

algorithmeigenvaluesSchrödinger equationHartree approximationcoupled Schrödinger- Poisson model problemlocal linearisationsnormalized eigenfunctions

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Finite difference methods for boundary value problems involving PDEs (65N06) Applications to the sciences (65Z05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Cites Work

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• Numerov method maximally adapted to the Schrödinger equation
• Sturm-Liouville Eigenvalues via a Phase Function

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