Jim Brannan

Professors:Jim Brannan

Name:Jim Brannan
Title:East Lake Professor in Applied Mathematics
Gender:male
Tel:
Email:jrbrn@clemson.edu
HomePage:
https://mthsc.clemson.edu/directory/view_person.py?person_id=6
Basic:
Educational background:
PhD in Mathematics from Rensselaer Polytechnic Institute, 1979
MS in Mathematics from Utah State University, 1975
BS in Mathematics from Utah State University, 1973
Work experience:
1996-2017: Professor of Mathematical Sciences, Clemson University
1986-1996: Associate Professor of Mathematical Sciences, Clemson University.
Summer 1996: Consultant to Partnership in Computational Science Consortium, aquifer characterization and geostatistical modeling.
1996: Consultant to Synesis Environmental, Inc., developed mathematical model and software for aquifer management for city of Mount Pleasant, SC.
Summer 1995: Consultant to Partnership in Computational Science Consortium, aquifer characterization and geostatistical modeling.
Summer 1994 : Visiting Scientist at Lawrence Livermore National Laboratories.
Summer 1993: Visiting Scientist at Westinghouse Savannah River Company.
1979-1986: Assistant Professor of Mathematical Sciences, Clemson University.
1987-1992: Consultant to Johns Hopkins Applied Physics Lab, ocean acoustic wave propagation modeling and software development.
Summer 1989: Visiting scientist at Naval Underwater Systems Center under U.S. NavyASEE Summer Faculty Research Program.
Research fields:
Mathematical modeling, differential equations, stochastic differential equations, diffusion processes, perturbation methods, mathematical economics
Scientific achievements:
Books
Differential Equations: An Introduction to Modern Methods and Applications, James R. Brannan and William E. Boyce, First Edition (2007), Second Edition (2011), Third Edition (2015), John Wiley & Sons.
Differential Equations with Boundary Value Problems: An Introduction to Modern Methods and Applications, James R. Brannan and William E. Boyce, First Edition (2007), Second Edition (2011), Third Edition (2015), John Wiley & Sons.

Refereed Publications
“A Wiener-Hopf Approximation Technique for a Multiple Plate Diffraction Problem,” Jim Brannan, Jinqiao Duan, Vince Ervin, and Leo Razimov, Mathematical Methods in the Applied Sciences 27, Issue 1, pp.19-34, 2003.
“Escape Probability and Mean Residence Time in Random Flows with Unsteady Drift,” Jim Brannan, Jinqiao Duan, and Vince Ervin, Mathematical Problems in Engineering, Volume 7, pp. 55-65, 2001.
“Nonlocal Dynamics of Passive Tracer Dispersion with Random Stopping,” H. Gao, J. R. Brannan, and Jinqiao Duan, Proceedings of the Chinese Society for Industrial and Applied Math, T. Li, Q. Zeng, G. Cheng (Eds.), 2000.
“Density Driven Turbulent Mixing at Batch Interfaces,” Jim Brannan, Ellis Cumberbatch, Bryant Moodie, Tim Meyers, Gordon O’Connell, and Douglas Pickering, Proceedings of the Third PIMS Industrial Problem Solving Workshop, Pacific Institute of Mathematical Sciences, January, 2000.
“Escape probability, mean residence time and geophysical fluid particle dynamics,” James R. Brannan, Jinqiao Duan, and Vincent J. Ervin, Physica D., 133, (1999) 23-33.
“Dissipative Quasi-geostrophic Dynamics under Random Forcing,” James R. Brannan, and Jinqiao Duan, Journal of Mathematical Analysis and Applications, 228, (1998) 221-233.
“Integration of Contaminant Transport Simulators on Parallel Machines with a Graphical User Interface for Remote Interactive Modeling (with L.S. Johnson, A. Kaulgud, R. C. Sharpley, M. A. Celia, R. E. Ewing, Z. Leyk, and J. Pasciak) in “Proceedings of the 1997 Simulation Multiconference,” Atlanta, April 1997, Soc. for Computer Simulation International, San Diego. “Compound Random Field Models of Multiple Scale Hydraulic Conductivity,” (with John S. Haselow), Water Resour. Res., 29(2), 365-372, 1993.
“A Robust, Low Precision, Environmentally Adapted Receiver Algorithm,” James R. Brannan, J. Acoust. Soc. Am., Vol. 91, No. 5, pp. 2756-2762, 1992.
“A Model for Oxygen Storage by Hemoglobin,” (with J. Colacino and Mary Anne Fields), J. Theor. Biol., Vol. 126, pp. 437-447, 1987.
“High Frequency Numerical-Analytic Approximations for the Separable Acoustic Wave Equation,” (with G. P. Forney and R. F. Henrick), J. Comp. Phys., Vol. 66, No. 1, pp. 21-35, Vol. 66, No. 1, 1986.
“Relaxation Spectra of Interactive Neural Systems,” James R. Brannan, J. Math. Biol., Vol. 24, No. 4, pp. 423-436, 1986.
“A Diffusion Model of Forest Succession,” (with J. A. Reneke and J. Waide), Mathematical Biosciences, Vol. 69, No. 1, pp. 131-149, 1984.
“The Uniform WKB Modal Approach to Pulsed and Broadband Propagation,” (with R. F. Henrick, G. P. Forney, and D. B. Warner) J. Acoust. Soc. Am. 74, pp. 1464-1473, 1983.
“A Forward Equation Approach to Parameter Estimation For Nonlinear Dynamical Models,” (with James A. Reneke), Proceedings of IEEE Southeastcon 82, April 5, 1982, Destin, Florida.
“Spatially Localized Interactive Neural Populations-II: Stability and Dynamics of Excitatory Sets,” Bulletin of Mathematical Biology, J. R. Brannan, Vol. 44, No. 1, pp. 43-56, 1982.
“Spatially Localized Interactive Neural Populations-I: A Mathematical Model,” J. R. Brannan and W. E. Boyce, Bulletin of Mathematical Biology, Vol. 43, No. 4, pp. 427-446, 1981.
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