SLEDGE

Using the SLEDGE package on Sturm-Lioville problems having nonempty essential spectra We describe the performance of the Sturm-Liouville software package SLEDGE on a variety of problems having continuous spectra. The code’s output is shown to be in good accord with a wide range of known theoretical result

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References in zbMATH (referenced in 81 articles , 1 standard article )

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  1. Amodio, Pierluigi; Settanni, Giuseppina: Reprint of “Variable-step finite difference schemes for the solution of Sturm-Liouville problems” (2015)
  2. Amodio, Pierluigi; Settanni, Giuseppina: Variable-step finite difference schemes for the solution of Sturm-Liouville problems (2015)
  3. Gao, Qin; Huang, Zhengda; Cheng, Xiaoliang: A finite difference method for an inverse Sturm-Liouville problem in impedance form (2015)
  4. Gheorghiu, Călin-Ioan: Pseudospectral solutions to some singular nonlinear BVPs (2015)
  5. Kravchenko, Vladislav V.; Torba, Sergii M.: Analytic approximation of transmutation operators and applications to highly accurate solution of spectral problems (2015)
  6. Yuan, S.; Ye, K.; Xiao, C.; Kennedy, D.; Williams, F.: Solution of regular second- and fourth-order Sturm-Liouville problems by exact dynamic stiffness method analogy (2014)
  7. Taher, Anis Haytham Saleh; Malek, Alaeddin: An efficient algorithm for solving high order Sturm-Liouville problems using variational iteration method (2013)
  8. Yücel, Uğur; Boubaker, Karem: Differential quadrature method (DQM) and Boubaker polynomials expansion scheme (BPES) for efficient computation of the eigenvalues of fourth-order Sturm-Liouville problems (2012)
  9. Ledoux, Veerle; Van Daele, Marnix: On CP, LP and other piecewise perturbation methods for the numerical solution of the Schrödinger equation (2011)
  10. Broeckhove, Jan; Kłosiewicz, Przemysław; Vanroose, Wim: Applying numerical continuation to the parameter dependence of solutions of the Schrödinger equation (2010)
  11. Hammerling, Robert; Koch, Othmar; Simon, Christa; Weinmüller, Ewa B.: Numerical solution of singular ODE eigenvalue problems in electronic structure computations (2010)
  12. Ledoux, Veerle; Van Daele, Marnix: Solution of Sturm-Liouville problems using modified Neumann schemes (2010)
  13. Ledoux, Veerle; van Daele, Marnix; Berghe, Guido Vanden: Efficient numerical solution of the one-dimensional Schrödinger eigenvalue problem using Magnus integrators (2010)
  14. Weir, John: Correspondence of the eigenvalues of a non-self-adjoint operator to those of a self-adjoint operator (2010)
  15. Borisov, A.V.; Mamayev, I.S.: Dynamics of the Chaplygin sledge (2009)
  16. Gheorghiu, C.I.; Dragomirescu, Florica-Ioana: Spectral methods in linear stability. Applications to thermal convection with variable gravity field (2009)
  17. Ledoux, V.; Van Daele, M.; Vanden Berghe, Guido: Efficient computation of high index Sturm-Liouville eigenvalues for problems in physics (2009)
  18. Fulton, Charles; Pearson, David; Pruess, Steven: New characterizations of spectral density functions for singular Sturm-Liouville problems (2008)
  19. Harutyunyan, T.N.: The dependence of the eigenvalues of the Sturm-Liouville problem on boundary conditions (2008)
  20. Trif, Damian: Matlab package for the Schrödinger equation (2008)

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