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. |