Abstracts/Papers on the Sturm-Liouville Software Package SLEDGE
Computing the spectral function for singular Sturm-Liouville problems,
with Charles Fulton and David Pearson, J. Comp. Appl. Math., 176 (2005),
pp. 131-162.
Qualitatively correct Sturm-Liouville eigenfunction
approximation (postscript), Appl. Num. Math., 34 (2000), pp. 127-141.
The automatic classification of Sturm-Liouville
problems (postscript), with Y. Xie and C. Fulton, FIT Tech Report (2000).
The computation of spectral density functions for
singular Sturm-Liouville problems involving (simple) continuous spectra,
with Charles Fulton, in ACM Trans. Math. Software, 24 (1998), pp. 107-129.
Accurate Sturm-Liouville eigenfunction
computation in mathematical software, in Spectral Theory and
Computational Methods, D. Hinton, P. Schafer, eds., Lecture Notes in
Pure and Applied Mathematics, Marcel Dekker, New York, 191 (1997),
pp. 333-347.
Using the SLEDGE package on Sturm-Liouville
problems having a nonempty essential spectrum, with Michael Eastham,
and Charles Fulton, ACM Trans. Math. Software, 22 (1996), pp. 423-446.
Error analysis in the approximation of
Sturm-Liouville spectral density functions, with C. Fulton, J. Math.
Anal. and Appl., 203 (1996), pp. 518-539.
An asymptotic numerical method for a class of
singular Sturm-Liouville problems, with Y. Xie and C. Fulton, SIAM J.
Numer. Anal., 32 (1995), pp. 1658-1676.
Eigenvalue and eigenfunction asymptotics for
regular Sturm-Liouville problems, with C. Fulton, J. Math. Anal.
and Appl., 188 (1994), pp. 297-340.
Parallel computation of Sturm-Liouville
spectral density functions, with C. Fulton and W. Shoaff, Parallel
Algorithms and Applications, 4 (1994), pp. 41-51.
Numerical approximation of singular spectral
functions arising from the Fourier-Jacobi problem on a half line with
continuous spectra, with C. Fulton, in Fourier Analysis: Analytic and
Geometric Aspects, Bray et al, eds., Lecture Notes in Pure and Applied
Mathematics, Dekker, 157 (1994), pp. 149-169.
Achieving global error control in SLEDGE
(postscript), Colorado School of Mines, Dept. of Math. & CS, report
MCS-93-16, 1993. (This is the basis for a talk given at a Gregynog
conference in 1993.)
Mathematical software for Sturm-Liouville
problems, with C. Fulton, ACM Trans. Math. Software, 19 (1993),
pp. 360-376.
The automatic classification of Sturm-Liouville
problems (postscript), with Y. Xie and C. Fulton. (complete version)
Performance of the Sturm-Liouville package
SLEDGE, with C. Fulton and Y. Xie, Colorado School of Mines, Dept.
of Mathematics, report MCS-91-19, 1991, revised 09/94.
Performance of the Sturm-Liouville package
SLEDGE (postscript), with C. Fulton and Y. Xie, Colorado School of
Mines, Dept. of Mathematics, report MCS-91-19, 1991, revised 09/94.