Variable-step finite difference schemes for the solution of Sturm–Liouville problems

Pierluigi Amodio, Giuseppina Settanni

Type: Article

Publication Date: 2014-07-03

Citations: 11

DOI: https://doi.org/10.1016/j.cnsns.2014.05.032

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Communications in Nonlinear Science and Numerical Simulation - View
arXiv (Cornell University) - View - PDF
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Works Cited by This (29)

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+	On the correction of finite difference eigenvalue approximations for Sturm-Liouville problems	1981	John Paine F. R. de Hoog Robert Anderssen
+	Sturm-Liouville theory	2005	Anton Zettl
+	Numerical Solution of Sturm-Liouville Problems	1994	John D. Pryce
+	A Deferred Correction Approach to the Solution of Singularly Perturbed BVPs by High Order Upwind Methods: Implementation Details	2009	Pierluigi Amodio Giuseppina Settanni Theodore E. Simos George Psihoyios Ch. Tsitouras
+	A Catalogue of Sturm-Liouville Differential Equations	2005	W. N. Everitt
+	An Algebraic Procedure for the Spectral Corrections Using the Miss‐Distance Functions in Regular and Singular Sturm–Liouville Problems	2006	Lidia Aceto Paolo Ghelardoni G. Gheri
+	Automatic Solution of the Sturm-Liouville Problem	1978	Paul B. Bailey Marilyn K. Gordon L. F. Shampine
+	High Order Finite Difference Schemes for the Numerical Solution of Eigenvalue Problems for IVPs in ODEs	2010	Pierluigi Amodio Giuseppina Settanni Theodore E. Simos George Psihoyios Ch. Tsitouras
+ PDF Chat	A test package for Sturm-Liouville solvers	1999	John D. Pryce
+	Boundary Value Methods as an extension of Numerov's method for Sturm–Liouville eigenvalue estimates	2008	Lidia Aceto Paolo Ghelardoni Cecilia Magherini