Matrix methods for radial Schrödinger eigenproblems defined on a semi-infinite domain

DOI10.1016/j.amc.2014.05.075zbMath1338.65202arXiv1312.2425OpenAlexW2133706246MaRDI QIDQ299442

Cecilia Magherini, Lidia Aceto, Ewa B. Weinmüller

Publication date: 22 June 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.2425

zbMATH Keywords

eigenvaluesfinite difference schemesinfinite domainradial Schrödinger equation

Mathematics Subject Classification ID

Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (2)

On singular BVPs with nonsmooth data: analysis of the linear case with variable coefficient matrix ⋮ Approximation of eigenvalues of Sturm-Liouville problems defined on a semi-infinite domain

Uses Software

• SLEIGN2

Cites Work

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• Solution of the Schrödinger equation over an infinite integration interval by perturbation methods, revisited
• A new multi-purpose software package for Schrödinger and Sturm-Liouville computations
• High-order finite difference schemes for the solution of second-order BVPs
• The Numerical Solution of Boundary Value Problems with an Essential Singularity
• On the Boundary Value Problem for Systems of Ordinary Second Order Differential Equations with a Singularity of the First Kind
• On the Boundary Value Problem for Systems of Ordinary Differential Equations with a Singularity of the Second Kind
• Difference Methods for Boundary Value Problems with a Singularity of the First Kind
• Numerical solution of forward and inverse Sturm–Liouville problems with an angular momentum singularity
• Algorithm 810: The SLEIGN2 Sturm-Liouville Code

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