MATSLISE swMATH ID: 559 Software Authors: Ledoux, Veerle; Van Daele, Marnix; Vanden Berghe, Guido Description: MATSLISE is a graphical MATLAB software package for the interactive numerical study of regular Sturm-Liouville problems, one-dimensional Schr\"odinger equations, and radial Schr\"odinger 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. Homepage: http://users.ugent.be/~vledoux/MATSLISE/ Dependencies: Matlab Related Software: SLEDGE; SLCPM12; SLEIGN2; Matlab; SLDRIVER; SLTSTPAK; LILIX; Chebfun; PERSYS; RODAS; bvpsuite; Algorithm 700; SLEIGN; Maple; HermiteEig; FNFT; QUADPACK; bvp4c; FEniCS; SLEPc Cited in: 57 Publications Standard Articles 2 Publications describing the Software, including 2 Publications in zbMATH Year Matslise 2.0: a Matlab toolbox for Sturm-Liouville computations. Zbl 1369.65094Ledoux, Veerle; Van Daele, Marnix 2016 MATSLISE: a MATLAB package for the numerical solution of Sturm-Liouville and Schrödinger equations. Zbl 1136.65327Ledoux, Veerle; Van Daele, Marnix; Vanden Berghe, Guido 2005 all top 5 Cited by 71 Authors 13 Van Daele, Marnix 11 Ledoux, Veerle 10 Vanden Berghe, Guido 5 Magherini, Cecilia 4 Kravchenko, Vladislav V. 4 Torba, Sergii M. 3 Aceto, Lidia 3 Ghelardoni, Paolo 3 Kammanee, Athassawat 2 Alici, Haydar 2 Amodio, Pierluigi 2 Bockmann, Christine 2 Castillo Pérez, Raúl 2 Gorbunov, Vladimir K. 2 Ixaru, Liviu Gr. 2 Rizea, M. 2 Sacks, Paul E. 2 Settanni, Giuseppina 2 Simon, Laurent S. R. 2 Taşeli, Hasan 1 Ahmad, Adeel 1 Arutyunyan, Rafael 1 Asghar, Saleem 1 Baeyens, Toon 1 Băleanu, Dumitru I. 1 Bouheroum-Mentri, Sabria 1 Breda, Dimitri 1 Broeckhove, Jan 1 Bühler, Oliver 1 Dragunov, Denys V. 1 Drignei, Mihaela Cristina 1 Fagan, Erin Leigh 1 Fečkan, Michal 1 Gadella, Manuel 1 Golmankhaneh, Ali Khalili 1 Golmankhaneh, Alireza Khalili 1 Guo, Yuan 1 Hammerling, Robert 1 Hryniv, Rostyslav O. 1 Iserles, Arieh 1 Ishikawa, Hideaki 1 Kłosiewicz, Przemysław 1 Koch, Othmar 1 Lara, Luis Pedro 1 Makarov, Volodymyr Leonidovych 1 Martynenko, Yu. V. 1 Maset, Stefano 1 Mebirouk, AbdelMouemin 1 Mestel, A. Jonathan 1 Miao, Hongyi 1 Mirzaei, Hanif 1 Navarro, Luis J. 1 Obukhov, Yuri N. 1 Prins, Peter J. 1 Ramos, Alberto Gil Couto Pimentel 1 Rossokhata, Nataliya O. 1 Rundell, William 1 Shao, Hezhu 1 Shieh, Chung-Tsun 1 Simon, Christa 1 Sviridov, Vyacheslav Yu. 1 Trif, Damian 1 Vabishchevich, Pëtr Nikolaevich 1 Vanroose, Wim 1 Vermiglio, Rossana 1 Wahls, Sander 1 Wang, Yuping 1 Wang, Zhongcheng 1 Weinmüller, Ewa B. 1 Zhang, Xuecang 1 Zhao, Houyu all top 5 Cited in 26 Serials 10 Applied Mathematics and Computation 9 Journal of Computational and Applied Mathematics 7 Computer Physics Communications 4 Applied Numerical Mathematics 2 ACM Transactions on Mathematical Software 2 Numerische Mathematik 2 Mathematical Communications 2 Communications in Nonlinear Science and Numerical Simulation 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Geophysical and Astrophysical Fluid Dynamics 1 IMA Journal of Numerical Analysis 1 International Journal of Heat and Mass Transfer 1 Journal of Fluid Mechanics 1 Mathematical Biosciences 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 BIT 1 Mathematical and Computer Modelling 1 Romanian Journal of Physics 1 Journal of Inverse and Ill-Posed Problems 1 Journal of Mathematical Chemistry 1 Mathematical Modelling and Analysis 1 Thai Journal of Mathematics 1 International Journal of Computational Methods 1 International Journal of Numerical Analysis and Modeling 1 Journal of Spectral Theory all top 5 Cited in 19 Fields 45 Numerical analysis (65-XX) 33 Ordinary differential equations (34-XX) 11 Quantum theory (81-XX) 6 Partial differential equations (35-XX) 2 Special functions (33-XX) 2 Geophysics (86-XX) 2 Biology and other natural sciences (92-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Astronomy and astrophysics (85-XX) 1 Systems theory; control (93-XX) Citations by Year