High Tech with a Human Touch
FULTON, Charles T.
Department of Mathematical Sciences, College of Science
Educational BackgroundB.A. University of Redlands
M.S. University of Minnesota
D.Sc. Rheinisch-Westfalische Technische Hochschule Aachen, Germany
Professional ExperienceRecent Conference talks on current research have been given at (i) ICCAM-2006 meeting, July 2006 at the Catholic University of Leuven, Belgium
(ii) M-Function meeting in July 2004 at University of Cardiff, Wales, U.K.
(iii) World Congress of Nonlinear Analysts (WCNA-2008) in Orlando, Florida, in July 2008
Current ResearchCurrent research activity of Dr. Fulton is in the area of theory and computation of spectral density functions (and corresponding spectral functions) for Sturm-Liouville problems having continuous spectra. Three papers on this topic appeared in 2008; further investigations are being focused on periodic, quasi-periodic and almost periodic potentials on the whole real line, or half line, which are known to exhibit exotic spectra, and which arise in solid state physics in the area of Quasi-crystals.
Selected Publications# C. Fulton, D. Pearson, and S. Pruess, Algorithms for estimating spectral density functions for periodic potentials on the half line, submitted for publication
# C. Fulton, D. Pearson and S. Pruess, Titchmarsh Weyl theory for tridiagonal Jacobi matrices and computation of their spectral functions, Chap 15 (pp. 167-174) in Advaces in Mathematical Problems in Engineering Aerospace and Sciences,ed. S. Sivasundaram, Cambridge Scientific Publishers, Ltd, Dec 2008
# C. Fulton, Titchmarsh-Weyl m-functions for Second-order Sturm-Liouville Problems with two singular endpoints Math. Nachr. 281 (2008), 1418-1475.
# C. Fulton, D. Pearson, and S. Pruess, New characterizations of spectral density functions for singular Sturm-Liouville problems, J. Comput. Appl. Math 212 (2) (2008), pp. 194-213.
# C. Fulton, D. Pearson, and S. Pruess, Efficient calculation of spectral density functions for specific classes of singular Sturm-Liouville problems, J. Comput. Appl. Math 212 (2) (2008), pp. 150-178.
# C. Fulton, D. Pearson, and S. Pruess, Computing the spectralfunction for singular Sturm-Liouville problems, J. Comp. Appl. Math. 176 (2005), pp.~131--162.
# C. Knoll, C. Fulton, Using a computer algebra system to simplify expressions for Titchmarsh-Weyl m-functions associated with the Hydrogen Atom on the half line, Florida Institute of Technology Research Report, 2007. (Available as arXiv 0812.4974)
# G.W. Howell, J. Demmel, C. Fulton, S. Hammarling, K. Marmol, ACM Trans. on Math. Softw. 32 (3) (2008), pp.~13-46 (May 2008)
(Earlier Version also available as LAPACK WORKING NOTE 174, available from netlib.org)