SLEIGN2 swMATH ID: 1230 Software Authors: Bailey, P.B.; Everitt, W.N.; Zettl, A Description: Algorithm 810: The SLEIGN2 Sturm-Liouville code. The SLEIGN2 code is based on the ideas and methods of the original SLEIGN code of 1979. The main purpose of the SLEIGN2 code is to compute eigenvalues and eigenfunctions of regular and singular self-adjoint Sturm-Liouville problems, with both separated and coupled boundary conditions, and to approximate the continuous spectrum in the singular case. The code uses some new algorithms, which we describe, and has a driver program that offers a user-friendly interface. In this paper the algorithms and their implementations are discussed, and the class of problems to which each algorithm applied is identified Homepage: http://www.math.niu.edu/SL2/ Related Software: SLEDGE; MATSLISE; SLTSTPAK; SLDRIVER; SLCPM12; Algorithm 700; SLEIGN; Matlab; DLMF; nag; Chebfun; SLEUTH; LAPACK; bvpsuite; aicm; EISPACK; d02kef; NLEIGS; Tau Toolbox; pchip Cited in: 43 Publications Standard Articles 2 Publications describing the Software, including 2 Publications in zbMATH Year Algorithm 810: The SLEIGN2 Sturm-Liouville code. Zbl 1070.65576Bailey, P. B.; Everitt, W. N.; Zettl, A. 2001 Computing eigenvalues of singular Sturm-Liouville problems. Zbl 0755.65082Bailey, P. B.; Everitt, W. N.; Zettl, A. 1991 all top 5 Cited by 70 Authors 7 Zettl, Anton 4 Bailey, Paul B. 3 Everitt, William Norrie 3 Frymark, Dale 3 Ledoux, Veerle 3 Van Daele, Marnix 3 Williams, Frederic W. 2 Aceto, Lidia 2 Amodio, Pierluigi 2 Garbow, Burton S. 2 Gheorghiu, Călin Ioan 2 Howson, W. Paul 2 Kaper, Hans G. 2 Liaw, Constanze 2 Marletta, Marco 2 Settanni, Giuseppina 2 Vanden Berghe, Guido 2 Watson, Andrew J. 2 Weinmüller, Ewa B. 1 Binding, Paul Anthony 1 Bouheroum-Mentri, Sabria 1 Brown, B. Malcolm 1 Castillo Pérez, Raúl 1 Chanane, Bilal 1 de Villiers, G. D. 1 Dorignac, Jérôme 1 Dragunov, Denys V. 1 Fulton, Charles T. 1 Gou, Kun 1 Gurski, Katharine F. 1 Hammerling, Robert 1 Hao, Xiaoling 1 Hinton, Don Barker 1 Horvat, Martin 1 Ishikawa, Hideaki 1 Jones, Antonia J. 1 Katsevich, Alexander I. 1 Klimenko, Ya. V. 1 Koch, Othmar 1 Kong, Lingju 1 Kong, Qingkai 1 Kravchenko, Vladislav V. 1 Langer, Heinz 1 Lv, Haiyan 1 Magherini, Cecilia 1 Makarov, Volodymyr Leonidovych 1 Marchaud, F. B. T. 1 Matos, José M. A. 1 McFadden, Geoffrey Bey 1 Mebirouk, AbdelMouemin 1 Miksis, Michael J. 1 Möller, Manfred 1 Pike, E. R. 1 Prins, Peter J. 1 Reichel, Wolfgang 1 Román, Jose E. 1 Rozenblum, Grigori V. 1 Shi, Yuming 1 Simon, Christa 1 Širca, Simon 1 Sun, Jiong 1 Torba, Sergii M. 1 Vasconcelos, Paulo Beleza 1 Wahls, Sander 1 Walton, Jay R. 1 Wu, Hongyou 1 Xiao, Cheng 1 Ye, Kangsheng 1 Yuan, Si 1 Zinsou, Bertin all top 5 Cited in 24 Serials 4 ACM Transactions on Mathematical Software 4 Applied Mathematics and Computation 4 Journal of Computational and Applied Mathematics 2 Computer Physics Communications 2 Inverse Problems 2 Journal of Mathematical Analysis and Applications 2 Results in Mathematics 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Communications in Nonlinear Science and Numerical Simulation 1 Applicable Analysis 1 International Journal of Engineering Science 1 Journal of Engineering Mathematics 1 Journal of Sound and Vibration 1 Mathematics of Computation 1 Journal of Differential Equations 1 Mathematische Nachrichten 1 Numerical Algorithms 1 Journal of Physics A: Mathematical and General 1 Linear Algebra and its Applications 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Scientific Computing 1 Journal of Physics A: Mathematical and Theoretical 1 Journal of Numerical Analysis and Approximation Theory 1 Graduate Texts in Physics all top 5 Cited in 16 Fields 28 Ordinary differential equations (34-XX) 24 Numerical analysis (65-XX) 5 Operator theory (47-XX) 4 Partial differential equations (35-XX) 3 Special functions (33-XX) 3 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 Mechanics of deformable solids (74-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX) Citations by Year