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DR. SHISHEN (SAM) XIE Professor and Chair of The Department of Mathematics and Statistics
Email:
xies@uhd.edu

Education
Ph.D. in Applied Mathematics from the Texas Tech University, Lubbock in May 1990.
M.S. in Mathematics from the Texas Tech University, Lubbock, Texas in August 1987.
B.S. in Mathematics from the East China Normal University, Shanghai, China in January 1982.
Work History
Mathematics and Statistics
Chair, Department of Mathematics and Statistics, University of HoustonDowntown, September 2013 through Present.
Professor of Mathematics, Department of Mathematics and Statistics, University of Houston Downtown, Houston, Texas, 2013 through present.
Chair, Department of Computer and Mathematical Sciences, University of HoustonDowntown, September 2012 through 2013.
Professor of Mathematics, Department of Computer and Mathematical Sciences, University of Houston Downtown, Houston, Texas, 2010 through 2013.Assistant Chair, Department of Computer and Mathematical Sciences, University of HoustonDowntown, September 2003 through September 2012.
Professor of Mathematics, Department of Computer and Mathematical Sciences, University of Houston Downtown, Houston, Texas, 2010 through 2013.
Associate Professor, Department of Computer and Mathematical Sciences, University of HoustonDowntown, September 1996 through August 2003.
Assistant Professor, Department of Computer and Mathematical Sciences, University of HoustonDowntown, September 1996 through August 2003.
Teaching assistant at Department of Mathematics, Texas Tech University, September 1984 through May 1990.
Research assistant at Department of Mathematics, Texas Tech University, Summers of 1985, 1986, 1987 & 1988.
Lecturer at Department of Mathematics, Shanghai Institute of Education, February 1982 through August 1984.
Research Interests
 functional equations in distributions;
 numerical and analytical solutions of partial and ordinary differential equations arising in applications;
 the application of decomposition methods to solve nonlinear equations;
 integral transforms;
 mathematical physics and computational medicine;
 fuzzy logic theory: techniques and applications;
 numerical verification of perturbation solution of differential equations;
 algorithm development.
Freshmen and Sophomore Level: (At the University of HoustonDowntown and Texas Tech University) Computer Science: Introduction to Computer Science/C++, Introduction to Computer Science/FORTRAN Mathematics: Algebra Tutorial, Algebra, College Algebra, Plane Trigonometry, Finite Mathematics, Fundamentals of Calculus with Applications, Intermediate Mathematical Analysis for Business, Life and Social Sciences, I and II, College Mathematics for Liberal Arts, Analytic Geometry, Linear Algebra, Precalculus with Trigonometry, Calculus I, Calculus II, Calculus III.
Junior, Senior and Graduate Level: (At the University of HoustonDowntown) Computer Science: Numerical Methods, Advanced Numerical Methods for Science & Engineering Mathematics: Differential Equations, Intermediate Analysis, Applied Modern Algebra, Numerical Methods, Mathematics Concepts for Teachers, I and II, Advanced Numerical Methods for Science & Engineering Advanced Multivariable Calculus, Higher Mathematics for Technology, Methods of Applied Mathematics Complex Variables with Application, Methods of Mathematical Physics. Statistical Analysis for Business Applications, I and II, Decision Mathematics, Mathematical Structures for Teachers.
“Reconstruction of the solution of Lap lace’s equation from point measurements on the boundary of the disk”, published jointly with Clyde Martin in The International Journal of Systems Sciences, 20, 1, (1989), 6590.
“Observability of electro potential on nested cylindrical domain, Part I: The continuous solution”, published jointly with Clyde Martin in Applied Mathematics and Computation, 39, 3, (1990), 207244.
“Observability of electro potential on nested cylindrical domain, Part II: The numerical version”, published jointly with Clyde Martin in Applied Mathematics and Computation, 39, 3, (1990), 246270 .
“On a distributional equation in information theory”, jointly with Elias Deeba and E. L. Koh in Mathematische Nachrichten, 169 (1994), 97106.
“A distributional equation related to Rao’s quadratic entropy”, jointly with Elias Deeba and E. L. Koh, Libertas Mathematica, Vol. XV (1995), 6578.
“Pexider functional equationstheir fuzzy analogs”, jointly with André De Korvin and Elias Deeba, International Journal of Mathematics and Mathematical Sciences, 19, No.3, (1996) 529538.
“The continuous associated Legendre transform”, jointly with Elias Deeba, Integral Transforms and Special Functions, Vol. 4, No. 4, (1996), 372342.
“On a distributional analog of a sum form functional equation”, jointly with Elias Deeba, E. L. Koh and P. K. Sahoo, Acta Mathematica, 78(4), (1998), 321332.
“On a class of functional equations in distribution”, jointly with Elias Deeba and P. K. Sahoo, Journal of Mathematical Analysis and Applications, 223 (1998), 334346.
“On the numerical verification of the asymptotic expansion of Duffing’s equation”, International Journal of Computer Mathematics, jointly with S. A. Khuri, Vol. 72, 325330 (1999).
“An algorithm for solving a nonlinear integrodifferential equation”, jointly with E. Deeba, Applied Mathematics and Computation, 115 (2000), 123131.
“An algorithm for solving boundary value problems”, jointly with E.Deeba and S. Khuri, Journal of Computational Physics, 159 (2000), 125 – 138.
“The asymptotic expansion and numerical verification of Van der Pol’s equation”, jointly with E. Deeba, Journal of Computational analysis and Applications, Vol. 3, No. 2, (2001), 165171.
“An algorithm for solving bond pricing problem”, jointly with E. Deeba, Applied Mathematics and Computation, 128 (2002), 8194.
“Distributional Analog of a Functional Equation”, jointly with E. Deeba, Applied Mathematics Letters, Vol. 16 (2003), 669673.
“A decomposition method for solving a nonlinear business cycle model”, jointly with E. Deeba, G. Dibeh and S. A. Khuri, ANZIAM Journal, 45(2003), 295 – 302.
“Numerical approximation for integral equations”, jointly with Elias Deeba, International Journal of Mathematics and Mathematical Sciences, Vol. 2004, No. 20, 1057 – 1065.
“An Adomian decomposition method for predatorprey model equations”, jointly with E. Deeba and J. Yoon, Journal of Concrete and Applicable mathematics, Vol. 5, No. 4, 323329, 2007
“Observability and inverse problems arising in electrocardiography”, jointly with Ilias Iakovidis and Clyde Martin in Proceedings of the Conference on Computational Tools of Numerical Approximation and Control, 117132, Birkhauser Boston, Inc, 1989.
“An application of observability to the reconstruction of cardiac electrical events”, jointly with Clyde Martin in Proceedings of The 29th IEEE Conference on Decision and Control, 1, 180181, IEEE Control Systems Society, 1991.
“Techniques and applications of fuzzy set theory to difference and functional equations and their utilization in modeling diverse systems”, jointly with Elias Deeba and André De Korvin, Chapter 4, Fuzzy Theory Systems: Techniques and Applications, Academic Press, Vol. 1 (1999), 87110.
“Numerical techniques for solving a biharmonic equation in a sectorial region”, jointly with E. Deeba and S. A. Khuri, Chapter 8, Differential equations and Nonlinear Mechanics, Kluwer Academic Publishers,2001, 89100.
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