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Sturm-Liouville Problems: SLEIGN2

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Visit this site: http://www.math.niu.edu/~zettl/SL2/

Author:Bailey, Everitt, Zettl, Garbow
Description: A code to compute eigenvalues and eigenfunctions, and to approximate the continuous spectrum of regular and singular Sturm-Liouville (S-L) problems. These problems consist of a second order linear differential equation -(py')' + qy = (lambda) w y on (a,b) together with boundary conditions (BC). The nature of the BC depends on the regular or singular classification of the end points a and b. For both cases the BC fall into two major classes: separated and coupled. The former are two separate conditions, one at each end-point; the latter are two coupled conditions linking the values of the solution at the two end-points, e.g. periodic and semi-periodic boundary conditions. SLEIGN2 seems to be the only general purpose code available for these periodic-type problems. Site includes the four FORTRAN files of the package, and four text files of instructions and examples and such, as well as links to recent relevant papers.

Levels: College, Research
Languages: English
Resource Types: Articles, Topic Tools Miscellaneous
Math Topics: Eigenvectors/Eigenvalues, Partial Differential Equations

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