CV

Frank Mathis

Department of Mathematics

Baylor University

 

 

VITA

 

Education

Southern Methodist University, B.S. (1969), M.S. (1973)
Vanderbilt University, Ph.D. (1977)

Teaching Experience

1991 – 2017, Professor, Baylor University.

1985 – 1991, Associate Professor, Baylor University.

1981 – 1985, Assistant Professor, Baylor University.

1976 – 1981, Assistant Professor, Auburn University.

1973 – 1976, Teaching Fellow, Vanderbilt University.

1971 – 1973, Teaching Assistant, S.M.U.
Other experience

Interim Chair of Mathematics, Baylor University, 2016 – 2017.

Associate Dean for Sciences, College of Arts & Sciences, Baylor University, 2005 – 2017.

Associate Chair of Mathematics, Baylor University, 2004 – 2016.

Director of Mathematics Graduate Studies, Baylor University, 1996 – 2004.

NASA/ASEE Summer Faculty Fellow at Marshall Space Flight Center, Huntsville, Alabama, 1980 and 1981.

Organizations

American Mathematical Society

Mathematical Association of America

Phi Beta Kappa

Sigma Xi, Scientific Research Society

Society for Industrial and Applied Mathematics

 

Current research interests

Numerical methods for problems in optimal control, nonlinear optimization, and parameter estimation.

Publications (Refereed)

  1. (with G. Reddien) Numerical Solutions of Hereditary Control Problems using Necessary Conditions, Comp. & Maths. with Appls. 2, 193-200 (1976).
  2. (with G. Reddien) Difference Approximations to Control Problems with Functional Arguments, SIAM J. Control and Optimization. 16, 436-449 (1978).
  3. (with G. Reddien) Ritz-Trefftz Approximations in Optimal Control, SIAM J. Control and Optimization. 17, 307-310 (1979).
  4. An L-infinity Error Estimate for the Ritz-Trefftz Approximation in Optimal Control, Mathematics and Computers in Simulation. 23, 188-190 (1981).
  5. (with J. Dane) An Adaptive Finite Difference Scheme for the One – dimensional Water Flow Equation, Soil Sci. Soc. Amer. J. 45, 1048 – 1054 (1981).
  6. (with D. Turner) Estimating the Length of Material Wrapped Around a Cylindrical Core, SIAM Review. 26, 263-266 (1984).
  7. A Direct Approximation Method for Parameter Estimation in Partial Differential Equations. Mathematics and Computers in Simulation. 27, 27-35 (1985).
  8. Characterizations of Parabolic Motion, SIAM Review. 31, 129 – 131 (1989).
  9. The Effect of Fatigue on Running Strategies, SIAM Review. 31, 306 – 309 (1989).
  10. A Generalized Birthday Problem, SIAM Review. 33, 265 – 270 (1991).
  11. (with Hongmin Lu) Surface approximation by spline smoothing and generalized cross-validation, Mathematics and Computers in Simulation. 34, 541 – 549 (1992).
  12. A Nonlinear Programming Algorithm for Hospital Management, SIAM Review, 37, 230 – 234 (1995).

Master Theses Directed

  1. Tsun-Zee Mai, A Comparison of Three Multiplier Quasi-Newton Methods and their Application, Auburn University, 1979.
  2. Fu Chin-Mei Kau, An Algorithm for Approximating Functions by Spline Interpolation with a Variable Mesh, Auburn University, 1980.
  3. Steve Deutschendorf, A Comparison of Three Methods for Estimating the Condition Number of a Real Matrix, Auburn University, 1981.
  4. Robert Will, Powell’s Method and the Simplex Method of Nelder and Mead for Solving Unconstrained Minimization Problems without Calculating Derivatives, Auburn University, 1981.
  5. Kuei-Hsia Chen Chu, A Comparison of Predictor-corrector Method and Three-level method with nonuniform Grid Points for Nonlinear Parabolic Problems, Auburn University, 1982.
  6. Limin Chu, A Difference Scheme with Adaptive Nonuniform Grid Points for Nonlinear Parabolic Problems, Auburn University, 1982.
  7. Hongmin Lu, Surface Approximation by Spline Smoothing and Generalized Cross-Validation, Baylor University, 1991.
  8. Gail Brooks, Wavelets with Application to Signal Analysis, Baylor University, 1994.
  9. Kent Riggs, An Analysis of a Two Predator and One Prey Model, Baylor University, 2003

Master Projects Directed

  1. Susan Hunt, An Interactive Spline Approximation Graphics Package, Baylor University, 1985.
  2. Diane Taggert, Regression Analysis Applied to Cotton Fiber Maturity, Baylor University, 1986.
  3. Sara Barrett, Kriging – Interpolating Bivariate Data to Obtain a Smooth Surface, Baylor University, 1989.