Department of Mathematics

Faculty Research and Scholarship

Applied Mathematics

Dr. Raouf Boules' current research interests are in the fields of spectral estimation theory, Fourier analysis, optimal filtering and electrodynamics.

Some of Dr. Boules' recent publications include:

• R. Boules, G.R. Goodson, O. Kim and M. O'Leary, Laboratory Manuals for Single Variable and Multivariable Calculus,  Harcourt Publishing Company, 2000.
• Raouf Boules, Numerical Analysis Using Mathematica, 3rd ed., Towson University Printing Services, August 1999.
• R. Boules,, H. Harmuth and M. Hussain, Electromagnetic Signals: Reflection, Transmission, Focusing, Distortion, and Their Practical Applications, Kluwer Academic/Plenum Publishers, New York, 1999.

Some of Dr. Boules' recent presentations at conferences include:

• “Using computer algebra systems in the teaching of mathematics”, The Tenth International Congress on Mathematics Education (ICME-10), Copenhagen, July 2004.

Some of Dr. Goode's recent publications include:

• Elizabeth Goode and William DeLorbe, DNA splicing systems: an ordinary differential equations model and simulation, Springer-Verlag's Lecture Notes in Computer Science 4848 (2008), 236–245.
• Elizabeth Goode, Recognizing splicing languages: syntactic monoids and simultaneous pumping, Discrete Applied Mathematics Journal, (to appear).
• E. Goode and D. Pixton, “Splicing to the limit”, Aspects of Molecular Computing - Essays Dedicated to Tom Head on the Occasion of His 70th Birthday, N. Jonoska, G. Paun & G. Rozenberg, Eds. , Springer, Lecture Notes in Computer Science 2950 (2004), 189–201.
• E. Goode, T. Head and D. Pixton, “Splicing systems: regularity and below”, DNA Computing, 8th International Workshop on DNA-Based Computers, M. Hagiya & A. Ohuchi, Eds., Springer, Lecture Notes in Computer Science 2568 (2003), 262–268.
• E. Goode and G. Trajkovsky, Napoleon's soldiers, CCSC, Journal of Computing Sciences in Colleges 18 (2003), 193–197.
• E. Goode and D. Pixton, Semi-simple splicing systems, Where Mathematics, Computer Science, Linguistics and Biology Meet, Kluwer Academic Publishers (2001), 343–352.

Some of Dr. Han's publications include:

• Ge Han, Analysis of American options on multi-assets, International Journal of Pure and Applied Mathematics (to appear).
• Ge Han and Jay Zimmerman, Predicting Demand for the Carroll Area Transit Authority, The UMAP (Undergraduate Mathematics Applications) Journal 27 (2006), No. 1.

Some of Dr. Hou's recent publications include:

• Xuezhang Hou, S. Weng, H. Gao and D. Jiang, Upper and lower solutions method for fourth-order periodic boundary value problems, Journal of Applied Analysis, 14 (No. 1 2008), 53-61.
• Xuezhang Hou, Variable Structure Control of Infinite Dimensional System with Applications, Communications in Applied Analysis, 11 (2007), 1–14.
• Haiyin Gao, S. Weng, D. Jiang and Xuezhang Hou, On second order periodic boundary value problems with upper and lower solutions in the reversed order, Journal of Differential Equations 2006 (No. 25, 2006), 1–8.
• Xuezhang Hou, A Spectral Analysis to Stabilization of a Flexible Beam with Structural Damping, International Journal of Pure and Applied Mathematics 23 (2005), 61-75.
• Xuezhang Hou, Asymptotical behavior of a flexible robot system with point-wise control, International Journal of Pure and Applied Mathematics 15 (No. 2, 2004), 277-296.
• Xuezhang Hou and Sze-Kai Tsui, Analysis and control of a two-link and three-joint elastic robot arm, Journal of Applied Mathematics and Computation 152 (2004), 759-777.
• B.Z. Guo, Y. Xie and Xuezhang Hou, On spectrum of a general Petrowsky type equation and Riesz basis of n-connected beam with linear feedback at joints, Journal of Dynamical and Control Systems 10 (No. 2, 2004), 187-211.

Some of Dr. Hou's recent presentations at National and International conferences include:

• “Upper and lower solutions for nonresonant singular dirichlet boundary vale problems”, lecture at the 2006 Hawaii International Conference on Statistics, Mathematics and Related Fields, Hawaii, 2006.
• “An optimal control of a robot system”, invited lecture at The Third International Conference on Optimization and Control with Applications (OCA2004), China, 2004.
• “A feedback control and simulations of a flexible robot arm”, lecture at the International Congress of Mathematicians (ICM-2002), Beijing, 2002.

Some of Dr. Kim's publications include:

• Ohoe Kim, Xuezhang Hou and Ge Han, An operator approach in birth-death process, International Journal of Pure and Applied Mathematics 15 (No. 4, 2004).
• Ohoe Kim, Computer laboratories for mathematical finance using Mathematica and Excel, Proceedings of International conference on Technology in Collegiate Mathematics, Addison Wesley (2002).
• R. Boules, G.R. Goodson, O. Kim and M. O'Leary, Laboratory Manuals for Single Variable and Multivariable Calculus,  Harcourt Publishing Company, 2000.
• O. Kim., J. Chollet, R. Brown and D. Rauschenberg, Orthonormal bases of symmetry classes with computer generated examples, Linear and Multilinear Algebra 27 (1987).

Some of Dr. O'Leary's recent publications include:

• J. Miller and M. O'Leary, A diffusion model in population genetics with dynamic fitness, Journal of Differential Equations, 225 (2006), pp. 465-512.
• T. Giorgi and M. O'Leary, On the local integrability and boundedness of solutions to quasilinear parabolic systems, Electronic Journal of Qualitative Theory of Differential Equations 2004 (No. 14, 2004), 1-14.
• Michael O'Leary, Conditions for the Local boundedness of solutions to the Navier-Stokes system in three dimensions, Comm. Partial Differential Equations 28 (2003), 617-636.
• M. O'Leary and S. Azadegan. A Course in Scientific Simulation, Academic Press, 2003.
• S. Azadegan, M. Lavine, M. O'Leary, A. Wijesinha, and M. Ziman, “An undergraduate track in computer security”, Security Education and Critical Infrastructures, Cynthia E. Irvine & Helen Armstrong (eds.), Kluwer, (2003), 319-332.
• J. L. Aron, M. O'Leary, R. A. Gove, S. Azadegan, and M. C. Schneider, The benefits of a notification process in addressing the worsening computer virus problem: results of a survey and a simulation model, Computers and Security 21 (2002), 142-163.
• J. Miller, M. O'Leary, & M. Schonbek,. Nonexistence of singular pseudo-self-similar solutions of the Navier-Stokes system, Mathematische Annalen 319 (2001), 809-815.

Dr. O'Leary has received the following grants:

• Shiva Azadegan, Alexander L. Wijesinha, Deborah Frincke, Mike O'Leary, and Marius Zimand have received a National Science Foundation (NSF) grant (DUE #0113783) for the project An Undergraduate Computer Security Track.  In this project, they have developed a track in Towson's Computer Science major that specializes in computer security.  We have created and developed several new courses in computer science.
• Mike O'Leary and Shiva Azadegan have received an NSF grant (DUE #9952625) to Develop A Course in Scientific Modeling and Simulation.  This is an interdisciplinary course, which teaches students the mathematical modeling and numerical analysis needed to analyze real world scientific problems, then teaches modern object-oriented programming techniques using Visual C++ and its graphical capabilities to create simulations of these problems, the results of which are then studied.

Some of Dr. Pemy's recent publications include:

• Moustapha Pemy, Mou-Hsiung and Tao Pang, Finite difference approximations for stochastic control system with delay, Journal of Stochastic Analysis and Applications (to appear).
• Moustapha Pemy, Mou-Hsiung and Tao Pang, Finite difference approximations for stochastic control system with delays, Journal of Industrial and Management Optimization (to appear).
• Moustapha Pemy, Mou-Hsiung and Tao Pang, Optimal control of stochastic functional differential equation with a bounded memory, Stochastics: An international Journal of Probability and Stochastic Processes (to appear).
• Moustapha Pemy, Qing Zhang and George Yin, Liquidation of a large block of stock under regime switching model, Journal of Mathematical Finance (to appear).
• Moustapha Pemy, Qing Zhang and George Yin, Liquidation of a large block of stock: a stochastic control approach with state constraints, Communications in Information and Systems 7 (No. 1, 2007), 93-110.
• Moustapha Pemy, Qing Zhang and George Yin, Liquidation of a large block of stock, Journal of Banking and Finance 31 (2007), 1295-1305.

Dr. Pemy has received the following grant:

• Henry C. Welcome Fellowship grant from the Maryland Higher Education Commission.

Some of Dr. Sorokina's recent publications include:

• Tatyana Sorokina, Peter Alfeld and Larry Shumaker, Two condensed macro-elements with full approximation power, Advances in Computational Mathematics (to appear).
• Tatyana Sorokina and Peter Alfeld, Two tetrahedral C¹ cubic macro elements, Journal of Approximation Theory (to appear).
• Tatyana Sorokina, A C¹ multivariate Clough-Tocher interpolant, Constructive Approximation (to appear).
• T. Sorokina and F. Zeilfelder, An explicit quasi-interpolation scheme based on C¹ quartic splines on type-1 triangulations, Journal of Computer Aided Geometric Design 25 (2008),
  1–13.
• Tatyana Sorokina and Andrew Worsey, A multivariate Powell-Sabin interpolant, Advances in Computational Mathematics 29 (No. 1, July 2008), 71–89.
• T. Sorokina and F. Zeilfelder, Local quasi-interpolation by cubic C¹ splines on type-6 tetrahedral partitions, IMA Journal of Numerical Analysis 27 (2007), 74–101.

Some of Dr. Voisei's recent publications include:

• Mircea Voisei, Calculus rules for maximal monotone operators in general Banach spaces, Journal of Convex Analysis 15 (No. 1, 2008), 73–85.
• Mircea Voisei, Mathematical programming problems governed by nonlinear elliptic PDEs, SIAM Journal on Optimization 18 (No. 4, December/January 2008), 1231–1249.
• Mircea Voisei , Nonlinearity identification in divergence type elliptic boundary value problems, Journal of mathematical Analysis and Applications 335 (No. 2, 2007), 948–961.

Department of Mathematics
7800 York Road, Room 316 (campus map)
Hours: Monday - Friday, 8:30 a.m. – 5 p.m.

Phone: 410-704-3091
Fax: 410-704-4149
E-mail: math@towson.edu