Title of article :
Computing the spectral function for singular Sturm–Liouville problems
Author/Authors :
Fulton، نويسنده , , Charles and Pearson، نويسنده , , David and Pruess، نويسنده , , Steven، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2005
Abstract :
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.
Keywords :
Sturm–Liouville problem , Spectral density function , Step function approximation , h 2 -extrapolation , Spectral measure , Mesh equidistribution
Journal title :
Journal of Computational and Applied Mathematics
Journal title :
Journal of Computational and Applied Mathematics