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Appendix G. Graduate Faculty Information 85 Appendix 85 G. Graduate Faculty Information EDWARD J. ALLEN EDUCATION • Ph.D., Mathematics--Numerical Analysis, August, 1983, University of Tennessee, Knoxville. • M.S., Nuclear Engineering, December, 1972, University of Wisconsin, Madison. • B.S., Nuclear Engineering, August, 1971, University of Wisconsin, Madison. PROFESSIONAL EXPERIENCE • Professor, Department of Mathematics and Statistics, Texas Tech University, Lubbock, Texas, September 1998-present. • Associate Professor, Department of Mathematics, Texas Tech University, Lubbock, Texas, August 1991-August 1998. • Assistant Professor, Department of Mathematics, Texas Tech University, Lubbock, Texas, August 1985-August 1991. • Assistant Professor, Mathematics Department, University of North Carolina at Asheville, August 1982-August 1985. • Nuclear Engineer, Oak Ridge National Laboratory, Oak Ridge, Tennessee, January 1974-August 1980. AREAS OF INTEREST • Numerical analysis, stochastic differential equations, mathematical modeling, neutron transport, population biology. PUBLICATIONS Papers In Refereed Journals • E. J. Allen and C. M. Thompson, A stochastic differential equation model for charged-particle energy straggling, Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms, 10, 19-27 (2003). • Armando Arciniega and Edward Allen, Rounding error in numerical solution of stochastic differential equations, Stochastic Analysis and Applications, 21, 281-300 (2003). • Wyatt D. Sharp and Edward J. Allen, Development and Analysis of Quadrature and Galerkin Methods for Approximate Solution to the Integral Formulation of Volterra's Population Equation with Diffusion and Noise, International Journal of Pure and Applied Mathematics, 4, 457-486 (2003). • E. J. Allen and H. D. Victory, Jr., Modelling and simulation of a schistosomiasis infection with biological control, Acta Tropica, 87, 251-267 (2003). • Armando Arciniega and Edward Allen, Extrapolation of difference methods in option valuation, Applied Mathematics and Computation, 153, 165-186 (2004). • Armando Arciniega and Edward Allen, Shooting methods for numerical solution of stochastic boundary-value problems, Stochastic Analysis and Applications, 22, 1-20 (2004). • L. J. S. Allen and E. J. Allen, A comparison of three different stochastic population models with regard to persistence time, Theoretical Population Biology, 68, 439-449 (2003). • J. S. Severino, E. J. Allen, H. D.Victory, Jr., Acceleration of quasi-Monte Carlo approximations with applications in mathematical finance, Applied Mathematics and Computation, 148, 73-187 (2004). Appendix 86 G. Graduate Faculty Information • M. Kinard and E. J. Allen, Efficient numerical solution of the point kinetics equations in nuclear reactor dynamics, Annals of Nuclear Energy, 31, 1039-1051 (2004). • Edward J. Allen, Jump-diffusion model for the global spread of an amphibian disease, International Journal of Numerical Analysis and Modeling, 1, 173-187 (2004). • E. J. Allen, L. J. S. Allen, H. Schurz, A comparison of persistence-time estimation for discrete and continuous stochastic population models that include demographic and environmental variability, Mathematical Biosciences, 196, 14-38 (2005). • J. G. Hayes and E. J. Allen, Stochastic point-kinetics equations in nuclear reactor dynamics, Annals of Nuclear Energy, 32, 572-587 (2005). • Rachel Koskodan and Edward Allen, Extrapolation of the stochastic theta numerical method for stochastic differential equations, Stochastic Analysis and Applications, 24, 475-487 (2006). • Drew, E. J. Allen, and L. J. S. Allen, Analysis of Climatic and Geographic Factors on the Presence of Chytridiomycosis in Australia, Diseases of Aquatic Organisms, 68, 245-250 (2006). • Edward Allen, Ali Khoujmane, Mourad Krifa, Hakan Simsek, A stochastic differential equation model for cotton fiber breakage, Neural, Parallel and Scientific Computations, 15, 181-192 (2007). • Rachel Koskodan and Edward Allen, Construction of consistent discrete and continuous stochastic models for multiple assets with application to option valuation, Mathematical and Computer Modeling, Volume 48, No. 11-12, 1775-1786, December 2008. • E. J. Allen, L. J. S. Allen, A. Arciniega, P. Greenwood, Construction of equivalent stochastic differential equation models, Stochastic Analysis and Applications, 26, 274-297 (2008). • Edward J. Allen, Derivation of stochastic partial differential equations, Stochastic Analysis and Applications, 26, 357-378 (2008). • Edward J. Allen, Derivation of stochastic partial differential equations for size- and age- structured populations, Journal of Biological Dynamics, 3, No. 1, 73-86, January 2009. Papers In Refereed Conference Proceedings • L. J. S. Allen, E. J. Allen, and C. B. Jonsson, The impact of environmental variation on hantavirus infection in rodents, AMS Contemporary Mathematics Series, C. Castillo-Chavez, D. P. Clemence, and A. B. Gumel, Eds., Proceedings of the Joint Summer Research Conference on Modeling the Dynamics of Human Diseases: Emerging Paradigms and Challenges, Vol. 10, 1-16 (2006). Textbooks • Edward Allen, Modeling With Ito Stochastic Differential Equations, Springer, Dordrecht, The Netherlands (2007). • S. Ackleh, E. J. Allen, R. B. Kearfott, P. Seshaiyer, Classical and Modern Numerical Analysis: Theory, Methods and Practice, CRC Press, Boca Raton, Florida (2009). FUNDING ACTIVITY Funded Proposals • “Mathematical Modeling of Schistosomiasis”, Principal Investigators: E. J. Allen, H. D. Victory, Jr., Advanced Research Program of the State of Texas, 7/02-6/04, $57,120. Appendix 87 G. Graduate Faculty Information • “Dynamics and Evolution of Emerging Diseases with Applications to Amphibians", L. J. S. Allen (Project Director), Co-Principal Investigators: E. J. Allen, S. T. McMurry, M. J. San Francisco, and L. M. Smith, NSF-DMS (Applied Mathematics), 6/02-6/05, $915,000. • Texas Higher Education Coordinating Board, Advanced Research Program. “Metapopulation Models for the Playa Lakes of the Southern High Plains”, L. J. S. Allen (Project Director), Collaborators: E. J. Allen, S. McMurry, L. Smith 5/2006-5/2008, $47,106 • Stochastic fiber-breakage modeling research of graduate student Hakan Simsek was funded by the International Textile Center at Texas Tech University, 1/2006 to 8/2006. • National Science Foundation. “Stochastic Metapopulation Models Applied to Amphibians on the Southern High Plains”, L. J. S. Allen (Project Director), Co-Principal Investigators: E. J. Allen, S. McMurry, and L. Smith. 9/2007-8/2010, $470,024. PRESENTATIONS Colloquia • “Modeling With Stochastic Differential Equations”, E. J. Allen*, Invited colloquium talk at the Department of Mathematics, University of Wyoming, Laramie, Wyoming, March 2005. (Travel expenses were paid by the University of Wyoming.) • “A Comparison of Different Stochastic Population Models With Regard to Persistence Time”, E.J. Allen*, (Invited seminar talk) and “Modeling With Stochastic Differential Equations”, E.J. Allen*, (Invited colloquium talk) at the Department of Mathematics, Southern Illinois University, Carbondale, Illinois, April 2005. (Travel expenses were paid by Southern Illinois University.) • “Derivation of Stochastic Differential Equations”, E.J. Allen*, Presented as a colloquium talk at the University of Texas at San Antonio, January, 2008. (Travel expenses were paid by the University of Texas at San Antonio.) • “Derivation of Stochastic Differential Equations in Biology and Physics”, E. J. Allen*, Presented as a colloquium talk at the University of Alberta in Edmonton, March, 2009. (Travel expenses were paid by the University of Alberta. Conference Presentations • “Persistence-time estimation for populations with demographic and environmental variability and a jump-diffusion model for the spread of amphibian diseases”, E. J. Allen*, Presented at the Fourth World Congress of Nonlinear Analysts held in Florida in July 2004. (Session organizer.) • “Modeling Cotton Fiber Length Using Stochastic Differential Equations”, E. J. Allen*, Invited talk at the 2006 Joint AMS-MAA Meeting held in San Antonio in January 2006. • “Modeling and Simulation of a Schistosomiasis Infection With Biological Control”, E. J. Allen*, Invited talk at the SIAM Annual Meeting held in Boston in July 2006. • “Modeling Cotton Fiber Breakage With Stochastic Difference Equations”, E. J. Allen*, Invited talk at the 11th International Conference on Difference Equations and Their Applications held in Kyoto, Japan in July 2006. (Travel expenses were partially paid by the conference organizers.) • “Construction of Equivalent Stochastic Differential Equation Models”, E. J. Allen*, Invited talk at the Third International Conference on Neural, Parallel and Scientific Computation held in Atlanta, Georgia in August 2006. • “Derivation of Several Stochastic Partial Differential Equations”, E. J. Allen*, Presented at the Fifth International Conference on Dynamic Systems and Applications, Atlanta, Georgia, May 2007. (Invited presentation.) Appendix 88 G. Graduate Faculty Information • “Derivation of Stochastic Partial Differential Equations for Size- and Age-Structured Populations”, E. J. Allen*, Presented at the Joint AMS-MAA Mathematics Conference, San Diego, California, January 2008. (Invited presentation.) • “Derivation of Stochastic Partial Differential Equations for Size- and Age-Structured Populations”, E. J. Allen*, Presented at the World Congress of Nonlinear Analysts WCNA-2008, Orlando, Florida, July 2008. (Session organizer.) • “Derivation of Stochastic Partial
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