Dr. David W. Roach

Associate Professor

Department of Mathematics and Statistics

Murray State University

 

 

 

Courses Taught

Mat 117-Mathematical Concepts    Mat140-College Algebra   

Mat145-Trigonometry                       Mat150-Precalculus

Mat220-Business Calculus

Mat250-Calculus I                             Mat308-Calculus II

Mat411-Differential Equations        

Mat442-Intro Numerical Analysis    Mat542-Numerical Analysis   

             

Math Videos

The Zero Matrix

http://www.youtube.com/watch?v=jWCDPpeE7xE

Cheri Advertisement for "The Zero Matrix"

Cheri Advertisement with departmental group photo

Cinemark Trailer

The Zero Identity

http://www.youtube.com/watch?v=-4U-0jZrGoc

The AWM Soap Bubble Outreach project

http://www.youtube.com/watch?v=ad9EIkbCdp8

 

The Euclidean Math Club

Homepage

Research

Approximation Theory, Splines, Wavelet Analysis

Publications

•  Roach, D. W., “Frequency selective parameterized wavelets of length ten", Journal of Concrete and Applicable Mathematics, vol. 8-1, January 2010.

•  Roach, D. W., “The Parameterization of the length Eight Orthogonal Wavelets with No Parameter Constraints”, Approximation Theory XII: San Antonio 2007, M. Neamtu and L. Schumaker (eds.), pp 332-347, 2008.

•  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.

Research Presentations

•  March 2010 Talk-13th International Conference on Approximation Theory , San Antonio , TX .

•  October 2008 Talk-Applied Mathematics and Approximation Theory 2008, Memphis , TN.

•  November 2007 Talk-AMS sectional meeting, special session on wavelets, MTSU, Murfreesboro , TN.

•  November 2007 Seminar talk- The University of Georgia, Athens , GA.

•  March 2007 Talk- 12th International Conference on Approximation Theory , San Antonio , TX .

•  May 2005 Talk-The Application of Splines and Wavelets, Athens , GA.

•  Oct 2004 Talk-AMS South-Eastern Sectional Meeting, Nashville , TN.

•  Mar 2004 Talk-KYMAA state-wide meeting, Murray , KY.

•  May 2003 Talk – International Conference on Advances in Constructive Approximation, Nashville , TN.

•  April 2003 Talk – SPIE Aerosense: Aerospace/Defense Sensing, Simulation, and Controls, Kissimee , FL.

•  March 2003 Talk - Kentucky MAA Annual Meeting, Bellarmine University , Louisville , KY.

•  April 2002 Talk - Kentucky MAA Annual Meeting, Georgetown College , Georgetown , KY.

•  March 2002 Talk - 10 th S. E. Approximation Theory Conference, UGA, Athens , GA.

•  Oct 2001 Invited Talk - Western Kentucky Math Symposium, WKU, Bowling Green , KY.

•  Jul 2001 Invited Talk - SPIE's 46th Annual Meeting, San Diego , CA .

•  Mar 2001 Talk - 10th International Conference on Approximation Theory, UMSL, St. Louis , MO.

  May 2000 Talk - Trends in Approximation Theory an International Symposium, Nashville , TN.

•  Sept 1999 Poster - Image Processing Multiresolution Analysis and Statistics, Georgia Tech, Atlanta, GA.

•  July 1999 Invited Talk – SPIE’s 45 th Annual Meeting, Denver, CO.

•  April 1998 Talk – University of New Mexico Colloquium, Albuquerque , NM .

•  April 1998 Poster – International Wavelet Conference Tangier 98, Tangier, Morocco .

•  Jan 1998 Talk – Ninth International Conference on Approximation Theory, Nashville , TN.

•  May 1997 Talk – Sandia National Laboratories Colloquium, Albuquerque , NM .

•  April 1997 Talk – Ninth Southeastern Approximation Theory Conference, Athens GA.

•  March 1997 Talk – Multiwavelet Conference, Sam Houston State University , Huntsville , TX .

•  Jan 1997 Talk – Special Session of the AMS/MAA Joint Meeting, San Diego , CA .