Titchmarsh-Weyl theory for tridiagonal Jacobi matrices and computation of their spectral functions, with Charles Fulton and David Pearson, in Advances in Mathematical Problems in Engineering, Aerospace and Sciences, ed. by S. Sivasundaram, Cambridge Scientific, 2008, Chapter 5, pp. 167-174.

Efficient calculation of spectral density functions for specific classes of singular Sturm-Liouville problems, with Charles Fulton and David Pearson, J. Comp. Appl. Math., 212 (2008), pp. 150-178.

New characterizations of spectral density functions for singular Sturm-Liouville problems, with Charles Fulton and David Pearson, J. Comp. Appl. Math., 212 (2008), pp. 194-213.

Computing the spectral function for singular Sturm-Liouville problems, with Charles Fulton and David Pearson, J. Comp. Appl. Math., 176 (2005), pp. 131-162.

A rate-based model for the design of gas absorbers for the removal of CO2 and H2S using aqueous solutions of MEA and DEA, with Nadhir Al-Baghli, Victor Yesavage, and Sami Selim, Fluid Phase Equilibria, 185 (2001), pp. 31-43.

Qualitatively correct Sturm-Liouville eigenfunction approximation, Appl. Num. Math., 34 (2000), pp. 127-141.

Chiral baryon in the coherent pair approximation, with T. Aly and J. McNeil, Phys. Rev. D 60, 114022 (1999).

The automatic classification of Sturm-Liouville problems, with C. Fulton and Y. Xie, FIT Tech. Report, 1999.

The computation of spectral density functions for singular Sturm-Liouville problems involving (simple) continuous spectra, with Charles Fulton, ACM Trans. on Math. Software, 24 (1998), pp. 107-129.

Stable uniformly superconvergent interpolants for two-point boundary value problems, with H. Jin, SIAM J. Numer. Anal., 35 (1998), pp. 363-375.

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 nonempty essential spectra, with Michael Eastham and Charles Fulton, ACM Trans. on 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.

Fundamentals of Numerical Computing, with L. Shampine and R. Allen, John Wiley & Sons, 1996.

A stable high order interpolation scheme for superconvergent data, with H. Jin, SIAM J. Sci. Comp., 17 (1996), pp. 714-724.

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.

A Sturm separation theorem for a linear 2n-th order self-adjoint differential equation, with Charles Fulton and L. Wu, J. Appl. Math. and Stoch. Analysis, 8 (1995), pp. 29-46.

Some remarks on the numerical estimation of fractal dimension, Chapter 3 in Fractal Geometry and Its Use in the Earth Sciences, C. Barton and P. La Pointe, eds., Plenum, 1994, pp. 65-75.

Eigenvalue and eigenfuction 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, Colorado School of Mines, Dept. of Math. & CS, report MCS-93-16, 1993.

Mathematical software for Sturm-Liouville problems, with C. Fulton, ACM Trans. on Math. Software, 19 (1993), pp. 360-376.

A shape preserving C2 cubic interpolatory spline, IMA J. Numer. Anal., 13 (1993), pp. 493-507.

Equivalence of various characterizations of the oscillatory/nonoscillatory classification for singular endpoints of 4th order self-adjoint differential equations, with C. Fulton and L. Wu, in Proc. of the World Congress of Nonlinear Analysts '92, ed. by V. Lakshmikantham, de Gruyter, 1996, pp. 1943-1954.

Performance of the Sturm-Liouville package SLEDGE, with C. Fulton and Y. Xie, Colorado School of Mines, Dept. of Math. & CS, report MCS-91-19, 1991.

Shape preserving interpolation by parametric cubic polynomials, with James C. Ferguson, Computer-Aided Design, 23 (1991), pp. 498-505.

A User's Guide to the Code SPDNSF, with C. Fulton, in the Proc. of the Focused Research Program on Spectral Theory and Boundary Value Problems, Argonne National Laboratory, Mathematics and Computer Science Division, ANL-87-26, 3 (1989), pp. 77-102.

Splines and Their Applications, Tech. Report, Dept. of Mathematics, Facultad de Ciencias, Nat. Autonomous Univ. of Mexico, No. 169, 1989.

Software matemática para problemas de Sturm-Liouville, Vinculos Matematicos, Dept. de Matematicas, Facultad de Ciencias, UNAM, No. 166, 1989.

On shooting algorithms for calculating Sturm-Liouville eigenvalues, J. of Comp.Phys., 75 (1988), pp. 493-497.

Stability of local Lagrangian interpolation, J. of Approx. Theory, 73 (1988), pp. 117-127.

Concise representation of generalized gradients, with M. Osborne and R. Womersley, J. Austral. Math. Soc. Ser. B, 28 (1986), pp. 57-74.

Interpolation schemes for collocation solutions of two-point boundary
value problems, SIAM J. Sci. and Stat. Comp., 7 (1986), pp. 322-333.

On spline basis selection for solving ordinary differential equations, with U. Ascher and R. Russell, SIAM J. Numer. Anal., 20 (1983), pp. 121-142.

An analysis of an inverse problem in ordinary differential equations, with R. Allen, SIAM J. Sci. and Stat. Comp., 2 (1981), pp. 176-185.

Stability analysis of two-dimensional digital recursive filters, with W. Alexander, IEEE Trans. on Circuits and Systems, 27 (1980), pp. 11-15.

Summary of workshop on basis selection, with R. Sincovec et al, ibid., pp. 263-265.

An extrapolation method based on solving a sequence of collocation problems, in Codes for Boundary Value Problems in ODE's ,ed. by Bart Childs, Springer, Berlin, 1979, pp. 257-262.

Alternatives to the exponential spline in tension, Math. Comp., 33 (1979), pp. 1273-1281.

Numerical methods for eigenvalue problems with eigenparameter in the boundary condition, with Charles Fulton, J. Math. Anal. Appl., 71 (1979), pp. 431-484.

An algorithm for computing smoothing splines in tension, Computing, 19 (1978), pp. 365-373.

Properties of splines in tension, J. of Approx. Theory, 17 (1976), pp. 86-96.

High order approximation of Sturm-Liouville eigenvalues, Numer. Math., 24 (1975), pp. 241-247.

The approximation of linear functionals and h2-extrapolation, SIAM Review, 17 (1975), pp. 641-651.

Solving linear boundary value problems by approximating the coefficients, Math. Comp., 27 (1973), pp. 551-561.

Estimating the eigenvalues of Sturm-Liouville problems by approximating the differential equation, SIAM J. Numer. Anal.,10 (1973), pp. 55-68.

Revision Date: 13 February 2010