An Extended Pruess Method for Sturm-Liouville Problems

2016/03/25 by Carlson, Robert
#34L16 #65L15 #FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1603.08034

Abstract

A new version of the piecewise approximation (Pruess) method is developed for calculating eigenvalues of Sturm-Liouville problems. The usual piecewise constant or piecewise linear potential approximations are replaced by translates of 2/cos²(x), whose corresponding eigenvalue equation has elementary solutions.

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