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DOI10.1145/2839299zbMath1369.65094OpenAlexW2419929256WikidataQ113310213 ScholiaQ113310213MaRDI QIDQ5270757

Marnix van Daele, Veerle Ledoux

Publication date: 30 June 2017

Published in: ACM Transactions on Mathematical Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/2839299

zbMATH Keywords

eigenvaluesSchrödinger equationsSturm-Liouville problemsshooting

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Packaged methods for numerical algorithms (65Y15) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (12)

Improvements to the computation of eigenvalues and eigenfunctions of two-dimensional Schrödinger equations by constant perturbation based algorithms ⋮ Reliable computation of the eigenvalues of the discrete KdV spectrum ⋮ A Neumann series of Bessel functions representation for solutions of perturbed Bessel equations ⋮ Weakly regular Sturm-Liouville problems: a corrected spectral matrix method ⋮ The fast and accurate computation of eigenvalues and eigenfunctions of time-independent one-dimensional Schrödinger equations ⋮ The foundations of spectral computations via the solvability complexity index hierarchy ⋮ Application of machine learning regression models to inverse eigenvalue problems ⋮ On the complexity of the inverse Sturm-Liouville problem ⋮ A corrected spectral method for Sturm-Liouville problems with unbounded potential at one endpoint ⋮ Approximation of eigenvalues of Sturm-Liouville problems defined on a semi-infinite domain ⋮ NUMERICAL SIMULATION OF CHARGED FULLERENE SPECTRUM ⋮ MATSLISE

Uses Software

• Matlab
• SLCPM12
• SLDRIVER
• SLTSTPAK
• SLEDGE

Cites Work

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• The accurate numerical solution of the Schrödinger equation with an explicitly time-dependent Hamiltonian
• Solving Sturm-Liouville problems by piecewise perturbation methods, revisited
• CP methods of higher order for Sturm-Liouville and Schrödinger equations
• Solution of the Schrödinger equation over an infinite integration interval by perturbation methods, revisited
• Spectral theory of ordinary differential operators
• CP methods for the Schrödinger equation revisited
• SLCPM12 -- a program for solving regular Sturm-Liouville problems
• CP methods for the Schrödinger equation
• MATSLISE
• Automatic Solution of the Sturm-Liouville Problem
• Mathematical software for Sturm-Liouville problems
• A test package for Sturm-Liouville solvers
• An Asymptotic Numerical Method for a Class of Singular Sturm–Liouville Problems
• Algorithm 810: The SLEIGN2 Sturm-Liouville Code

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