Computing the spectral function for singular Sturm–Liouville problems
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摘要
Algorithms for computing Sturm–Liouville spectral density functions are developed based on several mathematical characterizations. Convergence and error bounds are derived and methods are tested on several examples. The results are compared with those from the existing software package SLEDGE.
论文关键词：65L15,Sturm–Liouville problem,Spectral density function,Spectral measure,Step function approximation,h2 -extrapolation,Mesh equidistribution
论文评审过程：Received 21 July 2003, Revised 9 June 2004, Available online 11 September 2004.
论文官网地址：https://doi.org/10.1016/j.cam.2004.07.006
