We describe a new code (SLEUTH) for the numerical solution of regular two-point fourth-order Sturm-Liouville eigenvalue problems. Eigenvalues are computed according to index: the user specifies an integer $k\ge 0$, and the code computes an approximation to the $k$th eigenvalue. Eigenfunctions are also available through an auxiliary routine, called after the eigenvalue has been determined. The code will be made available through netlib. (Source:

This software is also peer reviewed by journal TOMS.

References in zbMATH (referenced in 14 articles , 1 standard article )

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  1. Rattana, Amornrat; Böckmann, Christine: Matrix methods for computing eigenvalues of Sturm-Liouville problems of order four (2013)
  2. Ledoux, Veerle; Van Daele, Marnix: On CP, LP and other piecewise perturbation methods for the numerical solution of the Schrödinger equation (2011)
  3. Syam, Muhammed I.; Siyyam, Hani I.: An efficient technique for finding the eigenvalues of fourth-order Sturm-Liouville problems (2009)
  4. Ducrou, Jon; Eklund, Peter: An intelligent user interface for browsing and searching MPEG-7 images using concept lattices (2008)
  5. Cook, Diane J. (ed.); Holder, Lawrence B. (ed.): Mining graph data. (2007)
  6. Attili, B.S.; Lesnic, D.: An efficient method for computing eigenelements of Sturm-Liouville fourth-order boundary value problems (2006)
  7. Caruntu, Dumitru I.: Self-adjoint differential equations for classical orthogonal polynomials (2005)
  8. Zaki, Mohammed J.: Efficiently mining frequent embedded unordered trees (2005)
  9. Dietzel, Charles; Clarke, Keith C.: Replication of spatio-temporal land use patterns at three levels of aggregation by an urban cellular automata (2004)
  10. Chanane, B.: Eigenvalues of fourth order Sturm-Liouville problems using Fliess series (1998)
  11. Greenberg, Leon; Marletta, Marco: Oscillation theory and numerical solution of sixth order Sturm-Liouville problems (1998)
  12. Hameroff, Stuart: Funda-mental geometry: the Penrose-Hameroff `Orch OR’ model of consciousness (1998)
  13. Maple, Carsten R.; Marletta, Marco: Algorithms and software for selfadjoint ODE eigenproblems (1998)
  14. Greenberg, Leon; Marletta, Marco: Algorithm 775: The code SLEUTH for solving fourth-order Sturm-Liouville problems (1997)