MATSLISE is a graphical MATLAB software package for the interactive numerical study of regular Sturm-Liouville problems, one-dimensional Schrödinger equations, and radial Schrödinger equations with a distorted Coulomb potential. It allows the fast and accurate computation of the eigenvalues and the visualization of the corresponding eigenfunctions. This is realized by making use of the power of high-order piecewise constant perturbation methods, a technique described by Ixaru. For a well-outlined class of problems, the implemented algorithms are more efficient than the well-established SL-solvers SL02f, SLEDGE, SLEIGN, and SLEIGN2, which are included by Pryce in the SLDRIVER code that has been built on top of SLTSTPAK.

References in zbMATH (referenced in 56 articles , 2 standard articles )

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  1. Baeyens, Toon; Van Daele, Marnix: Improvements to the computation of eigenvalues and eigenfunctions of two-dimensional Schrödinger equations by constant perturbation based algorithms (2022)
  2. Arslan, A.; Mestel, A. J.: Dynamo action between two rotating discs (2021)
  3. Magherini, Cecilia: Weakly regular Sturm-Liouville problems: a corrected spectral matrix method (2021)
  4. Magherini, Cecilia: A corrected spectral method for Sturm-Liouville problems with unbounded potential at one endpoint (2020)
  5. Mebirouk, AbdelMouemin; Bouheroum-Mentri, Sabria; Aceto, Lidia: Approximation of eigenvalues of Sturm-Liouville problems defined on a semi-infinite domain (2020)
  6. Arutyunyan, Rafael; Obukhov, Yuri; Vabishchevich, Petr: Numerical simulation of charged fullerene spectrum (2019)
  7. Kravchenko, Vladislav V.; Torba, Sergii M.; Castillo-Pérez, Raúl: A Neumann series of Bessel functions representation for solutions of perturbed Bessel equations (2018)
  8. Mirzaei, Hanif: A family of isospectral fourth order Sturm-Liouville problems and equivalent beam equations (2018)
  9. Zhao, Hou Yu; Fečkan, Michal: Periodic solutions for a class of differential equation with delays depending on state (2018)
  10. Drignei, Mihaela-Cristina; Fagan, Erin Leigh: Numerical reconstruction of potentials based on a sequence of inverse Sturm-Liouville problems (2017)
  11. Kravchenko, Vladislav V.; Navarro, Luis J.; Torba, Sergii M.: Representation of solutions to the one-dimensional Schrödinger equation in terms of Neumann series of Bessel functions (2017)
  12. Wang, Yu Ping; Shieh, Chung Tsun; Miao, Hong Yi: Inverse transmission eigenvalue problems with the twin-dense nodal subset (2017)
  13. Bühler, Oliver; Guo, Yuan: Particle dispersion by nonlinearly damped random waves (2016)
  14. Dehghan, M.: An efficient method to approximate eigenfunctions and high-index eigenvalues of regular Sturm-Liouville problems (2016)
  15. Ledoux, Veerle; Van Daele, Marnix: Matslise 2.0: a Matlab toolbox for Sturm-Liouville computations (2016)
  16. Alıcı, H.; Taşeli, H.: The Laguerre pseudospectral method for the radial Schrödinger equation (2015)
  17. Amodio, Pierluigi; Settanni, Giuseppina: Variable-step finite difference schemes for the solution of Sturm-Liouville problems (2015)
  18. Amodio, Pierluigi; Settanni, Giuseppina: Reprint of “Variable-step finite difference schemes for the solution of Sturm-Liouville problems” (2015)
  19. Kammanee, Athassawat: Derivative-free Broyden’s method for inverse partially known Sturm-Liouville potential functions (2015)
  20. Ramos, Alberto Gil C. P.; Iserles, Arieh: Numerical solution of Sturm-Liouville problems via Fer streamers (2015)

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