Courses

Spring 2007

Mat140-College Algebra

Mat145-Trigonometry

Mat442-Numerical Analysis

Research

Wavelet Analysis

Matlab Files for Compression Comparison

Publications

•  Roach, D. W., and R. Robinson, “Knot removal using the bounding tension spline”, Advances in Constructive Approximation, M. Neamtu and E. B. Saff (eds.), Nashboro Press, pp. 467-476, 2004.

•  Roach, D. W., D. Gibson, and K. Weber, “Why is the square root of 25 not equal to plus or minus five?”, Math ematics Teacher, Vol. 97-1, pp 12-13, Jan 2004.

•  Lai, M.J. and D. W. Roach, “Parameterizations of univariate orthogonal wavelets with short support”, Approximation Theory X , pp. 369—384, Innovations in Applied Math ematics, Vanderbilt Univ. Press , 2002.

•  Lai, M.J. and D. W. Roach, “The nonexistence of bivariate symmetric wavelets with two vanishing moments and short support”, Trends in Approximation Theory, pp. 213-223, Innovations in Applied Math ematics, Vanderbilt Univ. Press, 2001.

•  Christion, M. A., and D. W. Roach, “The numerical performance of Wavelets for PDE’s: The multi-scale Finite Element”, Computational Mechanics , v. 25(23), pp. 230-244, March 2000.

•  Hardin, D. P., and D. W. Roach, “Multiwavelet Prefilters I: Orthogonal prefilters preserving approximation order p<2, IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing , vol. 45-8, pp. 1106-1112, August 1998.

•  Hereford J., D. W. Roach, and R. Pigford, “Image compression using parameterized wavelets with feedback”, Independent Component Analyses, Wavelets, and Neural Networks , A. Bell, M. Vickerhauser, H. Szu, Editors, Proceedings of SPIE, Vol. 5102, pp. 267-277, 2003.

•  Roach, D. W., “Orthogonal approximation order preserving prefilters for multiwavelets”, Wavelets: Application in Signal and Image Processing IX, Andrew F. Laine, Michael A. Unser, Akram Aldroubi, Editors, Proceedings of SPIE Vol. 4478 (2001) pp. 242-253.

•  Lai, M. J. and D. W. Roach, “Nonseparable symmetric wavelets with short support”, Wavelet Applications in Signal and Image Processing VII, Proceedings of SPIE, pp. 132-146, July 1999.

•  Christon, M. A., and D. W. Roach, T.E. Voth, “The numerical performance of wavelets and reproducing kernels for PDE’s”, Proceedings of the International Conference on Computational Engineering Science, 6 pp., October 1998.

•  Christon, M. A., R. S. Baty, S. P. Burns, D. W. Roach, T. G. Trucano, T. E. Voth, J. R. Weatherby, and D. Womble, “An investigation of wavelet bases for grid-based multi-scale simulations-Final Report”, Technical Report SAND98-2456, Sandia National Laboratories, Albuquerque, New Mexico, 142 pp., September 1998.

•  Hardin D. P., and D. W. Roach, “Semi-orthogonal wavelets for elliptic variational problems”, Proceedings of the Tangier 98 International Wavelet Conference on Multi-scale Methods, INRIA, 6 pp., April 1998.