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 93 articles , 1 standard article )

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  1. Mebirouk, AbdelMouemin; Bouheroum-Mentri, Sabria; Aceto, Lidia: Approximation of eigenvalues of Sturm-Liouville problems defined on a semi-infinite domain (2020)
  2. Chen, Zhenzhu; Xiong, Yunfeng; Shao, Sihong: Numerical methods for the Wigner equation with unbounded potential (2019)
  3. Moutal, Nicolas; Grebenkov, Denis: Diffusion across semi-permeable barriers: spectral properties, efficient computation, and applications (2019)
  4. Taher, Anis Haytham Saleh: Computing high-index eigenvalues of singular Sturm-Liouville problems (2019)
  5. Gavrilyuk, I. P.; Makarov, V. L.; Romanyuk, N. M.: Superexponentially convergent algorithm for an abstract eigenvalue problem with applications to ordinary differential equations (2017)
  6. Li, Kun; Sun, Jiong; Hao, Xiaoling: Eigenvalues of regular fourth-order Sturm-Liouville problems with transmission conditions (2017)
  7. Demkiv, Ihor; Gavrilyuk, Ivan P.; Makarov, Volodymyr L.: Super-exponentially convergent parallel algorithm for eigenvalue problems with fractional derivatives (2016)
  8. Ledoux, Veerle; Van Daele, Marnix: Matslise 2.0: a Matlab toolbox for Sturm-Liouville computations (2016)
  9. Amodio, Pierluigi; Settanni, Giuseppina: Reprint of “Variable-step finite difference schemes for the solution of Sturm-Liouville problems” (2015)
  10. Amodio, Pierluigi; Settanni, Giuseppina: Variable-step finite difference schemes for the solution of Sturm-Liouville problems (2015)
  11. Gao, Qin; Huang, Zhengda; Cheng, Xiaoliang: A finite difference method for an inverse Sturm-Liouville problem in impedance form (2015)
  12. Gheorghiu, Călin-Ioan: Pseudospectral solutions to some singular nonlinear BVPs (2015)
  13. Kravchenko, Vladislav V.; Torba, Sergii M.: Analytic approximation of transmutation operators and applications to highly accurate solution of spectral problems (2015)
  14. 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)
  15. Saleh Taher, A. H.; Malek, A.; Momeni-Masuleh, S. H.: Chebyshev differentiation matrices for efficient computation of the eigenvalues of fourth-order Sturm-Liouville problems (2013)
  16. Taher, Anis Haytham Saleh; Malek, Alaeddin: An efficient algorithm for solving high order Sturm-Liouville problems using variational iteration method (2013)
  17. Tharwat, M. M.; Bhrawy, A. H.; Yildirim, Ahmet: Numerical computation of eigenvalues of discontinuous Sturm-Liouville problems with parameter dependent boundary conditions using sinc method (2013)
  18. 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)
  19. Ledoux, Veerle; Van Daele, Marnix: On CP, LP and other piecewise perturbation methods for the numerical solution of the Schrödinger equation (2011)
  20. Broeckhove, Jan; Kłosiewicz, Przemysław; Vanroose, Wim: Applying numerical continuation to the parameter dependence of solutions of the Schrödinger equation (2010)

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