SLCPM12 -- a program for solving regular Sturm-Liouville problems
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Publication:1808005
DOI10.1016/S0010-4655(98)00181-7zbMath1008.34016OpenAlexW2070292863MaRDI QIDQ1808005
L. Gr. Ixaru, H. E. De Meyer, Guido Vanden Berghe
Publication date: 30 November 1999
Published in: Computer Physics Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0010-4655(98)00181-7
Schrödinger equationSturm-Liouville equationregular Sturm-Liouville problemsLiouville's transformation
Sturm-Liouville theory (34B24) Software, source code, etc. for problems pertaining to ordinary differential equations (34-04)
Related Items (25)
Present state-of-the-art in exponential fitting. A contribution dedicated to Liviu Ixaru on his 70th birthday ⋮ Improvements to the computation of eigenvalues and eigenfunctions of two-dimensional Schrödinger equations by constant perturbation based algorithms ⋮ Numerical methods for the eigenvalue determination of second-order ordinary differential equations ⋮ The accurate numerical solution of the Schrödinger equation with an explicitly time-dependent Hamiltonian ⋮ Exponentially-fitted Numerov methods ⋮ Efficient computation of high index Sturm-Liouville eigenvalues for problems in physics ⋮ Numerical approach of some three-body problems ⋮ Some new uses of the \(\eta _m(Z)\) functions ⋮ The fast and accurate computation of eigenvalues and eigenfunctions of time-independent one-dimensional Schrödinger equations ⋮ Reprint of ``Variable-step finite difference schemes for the solution of Sturm-Liouville problems ⋮ Explicit Numerov type methods with reduced number of stages. ⋮ Solving Sturm-Liouville problems by piecewise perturbation methods, revisited ⋮ CP methods and the evaluation of negative energy Coulomb Whittaker functions ⋮ New numerical method for the eigenvalue problem of the 2D Schrödinger equation ⋮ CP methods of higher order for Sturm-Liouville and Schrödinger equations ⋮ RCMS: Right correction Magnus series approach for oscillatory ODEs ⋮ Solution of the Schrödinger equation over an infinite integration interval by perturbation methods, revisited ⋮ Solution of the Schrödinger equation by a high order perturbation method based on a linear reference potential ⋮ Efficient computation of the Airy propagators ⋮ Fast LP method for the Schrödinger equation ⋮ Spectral corrections for Sturm-Liouville problems ⋮ Variable-step finite difference schemes for the solution of Sturm-Liouville problems ⋮ SLCPM12 ⋮ CP methods for the Schrödinger equation ⋮ Matslise 2.0
Uses Software
Cites Work
- On the correction of finite difference eigenvalue approximations for Sturm-Liouville problems
- Automatic solution of Sturm-Liouville problems using the Pruess method
- CP methods for the Schrödinger equation revisited
- Automatic Solution of the Sturm-Liouville Problem
- Mathematical software for Sturm-Liouville problems
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