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| Donald French Professor, Mathematical Sciences PhD, Cornell University, 1985 Address: 820-D Old Chemistry PO Box 210025 Cincinnati, OH 45221-0025 phone: 513-556-4039 donald.french@UC.Edu http://math.uc.edu/~french |
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Biography: Born Syracuse, NY 1958. B.A.'s in Math and Physics at SUNY Oswego 1980. PhD Applied Mathematics Cornell University 1985 (Thesis on Finite Element Error Analysis -- Advisor Lars B. Wahlbin). Visiting Assistant Professor at Purdue University (1985-7). Assistant Professor at Carnegie Mellon (1987-90). Permanent Position at University of Cincinnati since 1990. |
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Research Areas: Recent work has been on mathematical modeling in Cellular Physiology with emphasis on problems in Neuroscience. Past research has been on error analysis for finite element methods for partial differential equations and primarily time-dependent problems arising in applications such as phase transitions, viscoelasticity, and thermoelasticity. Investigations into the development of time discretizations using finite element techniques have led to various energy preserving schemes. Have also worked in Industrial Mathematics. Recent publications: 1. A second order splitting method for the Cahn-Hilliard equation (with Charles M. Elliott and Fabio Milner), Numerische Mathematik , 54 (1989), 575-590. 2. On the convergence of finite element methods for a relaxed variational problem, SIAM J. of Num. Anal. , 27 (1990), 419-436. 3. Continuous finite element methods which preserve energy properties for nonlinear problems (with Jack W. Schaeffer), Appl. Math. Comp. , 39 (1990), 271-295. 4. Analysis of a finite element approximation for a parabolic equation with rough boundary data (with J. Thomas King), Math. Comp. , 60 (1993), 79-104. 5. On the numerical approximation of an evolution problem in nonlinear viscoelasticity (with Lars B. Wahlbin), Comp. Meth. Appl. Mech. Eng. , 107 (1993), 101-116. 6. Global error control for the continuous Galerkin finite element method for ordinary differential equations, (with Donald Estep), RAIRO , 28 (1994), 815-852. 7. A continuous space-time finite element method for the wave equation, (with Todd E. Peterson), Math. Comp., 65 (1996), 491-506. 8. Analysis of the convergence behavior of the localized nonlinear approximation for electromagnetic scattering, J. Comp. Appl. Math., 161 (2003), 27-39. 9. Clustering of cyclic-nucleotide-gated channels in olfactory cilia, (with R. Flannery, S. Kleene ), Biophys. J. 91 (2006), 179-188. < back > |
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