New variable-step algorithms for computing eigenvalues of the one-dimensional Schrödinger equation

DOI10.1007/S004660050321zbMATH Open0911.65069OpenAlexW2076053461MaRDI QIDQ1271719

G. Tougelidis, T. E. Simos

Publication date: 2 March 1999

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s004660050321

zbMATH Keywords

numerical exampleseigenvalue problemsperturbation analysisblock methodradial Schrödinger equationvariable-step algorithms

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (4)

An efficient algorithm for the Schrödinger-Poisson eigenvalue problem ⋮ Improvements to the computation of eigenvalues and eigenfunctions of two-dimensional Schrödinger equations by constant perturbation based algorithms ⋮ A Symbolic-Numeric Approach for Solving the Eigenvalue Problem for the One-Dimensional Schrödinger Equation ⋮ New variable-step procedure for the numerical integration of the one- dimensional Schrödinger equation

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