{"id":1521,"date":"2014-08-04T14:44:32","date_gmt":"2014-08-04T18:44:32","guid":{"rendered":"http:\/\/math.cos.ucf.edu\/wp\/?page_id=131"},"modified":"2025-12-03T16:06:36","modified_gmt":"2025-12-03T21:06:36","slug":"dissertations","status":"publish","type":"page","link":"https:\/\/sciences.ucf.edu\/math\/graduate\/dissertations\/","title":{"rendered":"Graduate Dissertations"},"content":{"rendered":"\t\t\t<div class=\"container\"\n\t\t\t\t\t\t>\n\t\t\t\t\n<p>&nbsp;<\/p>\n<p class=\"lead\">UCF Mathematics has offered the PhD program since 1993 with a financial mathematics track added in Fall 2017. The program has awarded\u00a0 95 PhD degrees since 1998.\u00a0 The university has a website that includes current data on all UCF doctoral graduates.<\/p>\n\t\t\t<a class=\"btn btn-primary\"\n\t\t\thref=\"https:\/\/ww2.graduate.ucf.edu\/Doctoral_Graduates\/\"\t\t\t\t\t\ttarget=\"_blank\"\t\t\t\t\t\t\t\t\t\t\t\t>\n\t\t\t\tDoctoral Graduates Database\t\t\t<\/a>\n\t\t\n\t\t\t<\/div>\n\t\t\n<p>&nbsp;<\/p>\n\t\t<nav class=\"sections-menu-wrapper\" aria-label=\"Page section navigation\" style=\"min-height: 60px;\">\n\t\t\t<div class=\"navbar navbar-toggleable-md navbar-light bg-primary sections-menu\">\n\t\t\t\t<div class=\"container\">\n\t\t\t\t\t<button class=\"navbar-toggler collapsed ml-auto\" type=\"button\" data-toggle=\"collapse\" data-target=\"#sections-menu\" aria-controls=\"#sections-menu\" aria-expanded=\"false\">\n\t\t\t\t\t\t<span class=\"navbar-toggler-text\">Skip to Section<\/span>\n\t\t\t\t\t\t<span class=\"navbar-toggler-icon\" aria-hidden=\"true\"><\/span>\n\t\t\t\t\t<\/button>\n\t\t\t\t\t<div class=\"navbar-collapse collapse\" id=\"sections-menu\" data-autoselect=\"true\" data-selector=\".auto-section\">\n\t\t\t\t\t\t<ul class=\"nav navbar-nav\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/nav>\n\t\n\t\t\t<div class=\"container\"\n\t\t\t\t\t\t>\n\t\t\t\t\n<p>&nbsp;<\/p>\n<h2>2021<\/h2>\n<p>&nbsp;<\/p>\n<p>Dr. David Guinovart Sanjuan (Advisor: Kuppalapalle Vajravelu), Summer<\/p>\n<p>Computation of effective properties of smart composite materials with generalized periodicity using the two-scales asymptotic homogenization method<\/p>\n<p>Dr. Feng Yu (Advisor: Teng Zhang), Summer, Postdoc at University at Albany &#8211; State University of New York<\/p>\n<p>Regularized Estimations in Some Statistical Problems<\/p>\n<p>&nbsp;<\/p>\n<h2>2020<\/h2>\n<p>&nbsp;<\/p>\n<p>Dr. Nazar Emirov (Advisor: Qiyu Sun), Fall, Postdoc at Boston College<br \/>\n<a href=\"https:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=1349&amp;context=etd2020\">Distributed algorithms and inverse graph filtering<\/a><\/p>\n<p>Dr. Majid Noroozi (Advisor: Marianna Pensky), Summer, Postdoc at Washington University at Saint Louis<br \/>\n<a href=\"https:\/\/stars.library.ucf.edu\/etd2020\/261\/\">Estimation and Clustering in Block Models<\/a><\/p>\n<p>Dr. <a href=\"https:\/\/www.mtsu.edu\/faculty\/ramchandra-rimal\">Ramchandra Rimal<\/a> (Advisor:\u00a0 Marianna Pensky), Summer, Assistant Professor of Department of Mathematics, Middle Tennessee State University<br \/>\n<a href=\"https:\/\/stars.library.ucf.edu\/etd2020\/276\/\">Estimation and Clustering in Network and Indirect Data<\/a><\/p>\n<p>Dr. Wei Yan (Advisor: Jiongmin Yong), Summer, Postdoc at Michigan State University<br \/>\n<a href=\"https:\/\/stars.library.ucf.edu\/etd2020\/316\/\">Mean Field Optimal Control and Related Problems<\/a><\/p>\n<p>Dr. Jason Bentley (Advisor: Piotr Mikusinski),\u00a0 Spring<br \/>\n<a href=\"https:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=1017&amp;context=etd2020\">Transfunctions and Other Topics in Measure Theory<\/a><\/p>\n<h2>2019<\/h2>\n<p>Dr. Nathaniel Adu (Advisor: Gary Richardson), Assistant Professor of Mathematics at Pacific Union College<br \/>\n<a href=\"https:\/\/stars.library.ucf.edu\/etd\/6785\/\">Spatial Models with Specific Error Structures<\/a><\/p>\n<p>Dr. Pawan Gupta\u00a0 (Advisor: Marianna Pensky), Postdoc at University of Maryland<\/p>\n<p><a href=\"https:\/\/stars.library.ucf.edu\/etd\/6747\/\">Solution of linear ill-posed problems using overcomplete dictionaries<\/a><\/p>\n<p>Dr. Elliot Blackstone (Advisor: Alexander Tovbis), Postdoc at Michigan State University<br \/>\n<a href=\"https:\/\/stars.library.ucf.edu\/etd\/6454\/\">Spectral properties of the finite Hilbert transform on two adjacent intervals via the method of Riemann-Hilbert problem<\/a><\/p>\n<p>Dr.\u00a0 Christian Bosse (Advisor: Zixia Song)<br \/>\n<a href=\"https:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=7455&amp;context=etd\">Hadwiger Numbers and Gallai-Ramsey Numbers of Special Graphs<\/a><\/p>\n<p>Dr. Mangalagama Dewasurendra (Advisor: Kuppalapalle Vajravelu), Senior Lecturer at University of Peradeniya, Sri Lanka<br \/>\n<a href=\"https:\/\/stars.library.ucf.edu\/etd\/6476\/\">Semi-Analytical Solutions of Non-linear Differential Equations Arising in Science and Engineering<\/a><\/p>\n<p>Dr. Arielle Gaudiello (Advisor: Zhisheng Shuai)<br \/>\n<a href=\"https:\/\/stars.library.ucf.edu\/etd\/6489\/\">Mathematical Investigation of the Spatial Spread of an Infectious Disease in a Heterogeneous Environment<\/a><\/p>\n<p>Dr. Ted Juste (Advisor: Deguang Han)<br \/>\n<a href=\"https:\/\/stars.library.ucf.edu\/etd\/6512\/\">Frames and Phase Retrieval<\/a><\/p>\n<p>Dr.\u00a0 George Nguyen (Advisor: Ram\u00a0 Mohapatra)<br \/>\n<a href=\"https:\/\/stars.library.ucf.edu\/etd\/6545\/\">Variational inclusions with general over-relaxed proximal point and variational-like inequalities with densely pseudomonotonicity<\/a><\/p>\n<p>Dr. Rasika Rajapakshage (Advisor: Marianna Pensky), Senior Lecturer University of Kelaniya, Sri Lanka<br \/>\n<a href=\"https:\/\/stars.library.ucf.edu\/etd\/6562\/\">Estimation and clustering in statistical ill-posed linear inverse problems<\/a><\/p>\n<p>Dr. Jingmei Zhang (Advisor: Zixia Song)<br \/>\n<a href=\"https:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=7597&amp;context=etd\">Two Ramsey-related Problems<\/a><\/p>\n<p>Dr. Frederick Reid (Advisor:\u00a0 Gary Richardson)<br \/>\n<a href=\"https:\/\/stars.library.ucf.edu\/etd\/6334\/\">Lattice-Valued T-Filters and Induced Structures<\/a><\/p>\n\n\t\t\t<section id=\"2018\" class=\"ucf-section ucf-section-diss-2018 auto-section\" data-section-link-title=\"2018\" aria-label=\"2018\">\n\t\t\t\t\t<h2>2018<\/h2>\n<p>Dr. Rajitha Puwakgolle Gedara (advisor: Xin Li)<br \/>\n<a href=\"http:\/\/stars.library.ucf.edu\/etd\/6077\/\">In Quest of Bernstein Inequalities: Rational Functions, Askey-Wilson Operator, and Summation Identities for Entire Functions<\/a><\/p>\n<p>Dr. Kyle Trainor (Advisor: Joseph Brennan)<br \/>\n<a href=\"http:\/\/stars.library.ucf.edu\/etd\/6005\/\">Hilbert Series for Graphs, Hypergraphs, and Monomial Ideals<\/a><\/p>\n<p>Dr. Alexander York (Advisor: Joseph Brennan)<br \/>\n<a href=\"http:\/\/stars.library.ucf.edu\/etd\/6076\/\">Quasi-Gorenstein Modules<\/a>.<\/p>\n\t\t\t\t\t<\/section>\n\t\t\n<p>&nbsp;<\/p>\n\t\t\t<section id=\"2017\" class=\"ucf-section ucf-section-diss-2017 auto-section\" data-section-link-title=\"2017\" aria-label=\"2017\">\n\t\t\t\t\t<h2>2017<\/h2>\n<p>Tyler Gomez (advisor: Jason Swanson)<br \/>\n<a href=\"http:\/\/stars.library.ucf.edu\/etd\/5632\/\"><em>Filtering Problems in Stochastic Tomography<\/em><\/a><\/p>\n<p>Cheng Cheng (advisors: Xin Li and Qiyu Sun)<br \/>\n<a href=\"http:\/\/stars.library.ucf.edu\/etd\/5574\/\"><em>Sampling and Reconstruction of Spatial Signals<\/em><\/a><\/p>\n<p>Martin Rolek (advisor: Zixia Song), Assistant Professor of Mathematics at Kennesaw State University<br \/>\n<a href=\"http:\/\/stars.library.ucf.edu\/etd\/5400\/\"><em>Coloring graphs with forbidden minors<\/em><\/a><\/p>\n\t\t\t\t\t<\/section>\n\t\t\n<p>&nbsp;<\/p>\n\t\t\t<section id=\"2016\" class=\"ucf-section ucf-section-diss-2016 auto-section\" data-section-link-title=\"2016\" aria-label=\"2016\">\n\t\t\t\t\t<h2>2016<\/h2>\n<p><a href=\"http:\/\/www.ians.uni-stuttgart.de\/agh\/orga\/people\/bhatt\/index.html\">Ashish \u00a0Bhatt<\/a> (advisor: \u00a0Brian Moore), Assistant Professor of Mathematics at Indian Institute of Technology (Indian School of Mines), Dhanbad<\/p>\n<p><a href=\"http:\/\/stars.library.ucf.edu\/etd\/5630\/\"><em>Structure-preserving finite difference methods for linearly damped differential equations\u00a0<\/em><\/a><\/p>\n<p>Aritra Dutta (advisor: Xin Li and Qiyu Sun)<br \/>\n<a href=\"http:\/\/stars.library.ucf.edu\/etd\/5631\/\"><em>Weighted low-rank approximation of matrices: some analytical and numerical aspects<\/em><\/a><\/p>\n<p>Matthew Russo (advisor: \u00a0Sudipto Choudhury)<br \/>\n<em><a href=\"http:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=5917&amp;context=etd\">Building Lax Integrable Variable-Coefficient Generalizations to Integrable PDEs and Exact Solutions to Nonlinear PDEs<\/a><\/em><\/p>\n<p>Jeff Shape (advisor: \u00a0Andrew Nevai)<br \/>\n<a href=\"http:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=6268&amp;context=etd\">A mathematical model for feral cat ecology with application to disease.<\/a><\/p>\n<p>Maria Strawn (advisor: \u00a0Constance Schober)<br \/>\n<em><a href=\"http:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=6203&amp;context=etd\">Modeling rogue waves in deep water<\/a><\/em><\/p>\n<p>Yi Zhu (advisor: Yuanwei \u00a0Qi)<br \/>\n<em><a href=\"http:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=6269&amp;context=etd\">Computational Study of Traveling Wave Solutions and Global Stability of Predator-Prey Models<\/a><\/em><\/p>\n\t\t\t\t\t<\/section>\n\t\t\n<p>&nbsp;<\/p>\n\t\t\t<section id=\"2015\" class=\"ucf-section ucf-section-diss-2015 auto-section\" data-section-link-title=\"2015\" aria-label=\"2015\">\n\t\t\t\t\t<h3>2015<\/h3>\n<p>Lei, Ge\u00a0(advisor: M. Nashed)<br \/>\n<em><a href=\"http:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=1075&amp;context=etd\">Calibration of Option Pricing in Reproducing Kernel Hilbert Space<\/a><\/em><\/p>\n<p>Siple, Angela (advisor: P. Mikusinski)<br \/>\n<em><a href=\"http:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=2177&amp;context=etd\">Integral Representations of Positive Linear Functionals<\/a><\/em><\/p>\n\t\t\t\t\t<\/section>\n\t\t\n<p>&nbsp;<\/p>\n\t\t\t<section id=\"2014\" class=\"ucf-section ucf-section-diss-2014 auto-section\" data-section-link-title=\"2014\" aria-label=\"2014\">\n\t\t\t\t\t<h3>2014<\/h3>\n<p>Baxter, Mathew (advisor: K. Vajravelu)<br \/>\n<em><a href=\"http:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=5666&amp;context=etd\">Analytical solutions to nonlinear differential equations arising in physical problems<\/a><\/em><\/p>\n<p>Haussermann, John (advisor: D. Dutkay)<br \/>\n<em><a href=\"http:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=4025&amp;context=etd\">Tiling Properties Of Spectra Of Measures<\/a><\/em><\/p>\n<p>Krylov, Roman (advisor: A. Katsevich)<br \/>\n<em><a href=\"http:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=5610&amp;context=etd\">Inversion of the Broken Ray Transform<\/a><\/em><\/p>\n<p>Martinenko, Evgeny (advisor: M. Pensky)<br \/>\n<em><a href=\"http:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=5572&amp;context=etd\">Functional Data Analysis and its application to cancer data<\/a><\/em><\/p>\n<p><a href=\"https:\/\/www.ricam.oeaw.ac.at\/people\/member\/?firstname=Kamran&amp;lastname=Sadiq\">Sadiq, Kamran<\/a> (advisor: A. Tamasan), Research Scientist at RICAM, Austrian Academy of Sciences<br \/>\n<em><a href=\"http:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=5734&amp;context=etd\">On the range of the Attenuated Radon Transform in strictly convex sets<\/a>\u00a0<\/em><\/p>\n<p><a href=\"https:\/\/www.maths.ox.ac.uk\/people\/robert.vangorder\">Van Gorder, Robert A.<\/a> <em>(<\/em>advisors: D. Kaup and K. Vajravelu), Senior Lecturer, Department of Mathematics and Statistics, University of Otago, New Zealand<br \/>\n<a href=\"http:\/\/etd.fcla.edu\/CF\/CFE0005272\/RobertVanGorderDissertationV2.pdf\"><em>Nonlinear Dispersive Partial Differential Equations of Physical Relevance with Applications to Vortex Dynamics<\/em><\/a><\/p>\n<p>Veras, Johann (advisor: A. Tamasan), Sr Optical Engineer at Lockheed Martin Corp.<br \/>\n<em><a href=\"http:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=5565&amp;context=etd\">Electrical Conductivity Imaging via Boundary Value Problems for the 1-Laplacian<\/a>\u00a0<\/em><\/p>\n\t\t\t\t\t<\/section>\n\t\t\n<p>&nbsp;<\/p>\n\t\t\t<section id=\"2013\" class=\"ucf-section ucf-section-diss-2013 auto-section\" data-section-link-title=\"2013\" aria-label=\"2013\">\n\t\t\t\t\t<h3>2013<\/h3>\n<p><a href=\"https:\/\/www.ohio.edu\/cas\/math\/contact\/profiles.cfm?profile=benhaddo\">Benhaddou, Rida<\/a> (advisor: M. Pensky)<br \/>\n<a href=\"http:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=3602&amp;context=etd\"><em>Nonparametric and Empirical Bayes Estimation Methods<\/em><\/a><\/p>\n<p>Losert, Bernd (advisor: G. Richardson)<br \/>\n<em><a href=\"http:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=3653&amp;context=etd\">Extensions Of S-spaces<\/a><\/em><\/p>\n<p>Michalak, Martin (advisor: B. Shivamoggi)<br \/>\n<em><a href=\"http:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=3954&amp;context=etd\">Dynamical Invariants And The Fluid Impulse In Plasma Models<\/a><\/em><\/p>\n<p>Pecora, Keri Ann (advisor: S. Choudhury)<br \/>\n<em><a href=\"http:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=3909&amp;context=etd\">Partially Integrable Pt-symmetric Hierarchies Of Some Canonical Nonlinear Partial Differential Equations<\/a>\u00a0<\/em><\/p>\n<p>Pehlivan, Saliha (advisors: D. Han and R. Mohapatra)<br \/>\n<em><a href=\"http:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=3724&amp;context=etd\">Spectrally Uniform Frames And Spectrally Optimal Dual Frames<\/a><\/em><\/p>\n<p>Pridemore, Kathryn (advisor: M. Pensky)<br \/>\n<a href=\"http:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=3678&amp;context=etd\"><em>Accelerated Life Model with Various Types of Censored Data<\/em><\/a><\/p>\n<p>Ramesh Gayatri (advisors: Q. Sun and R. Mohapatra)<br \/>\n<em><a href=\"http:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=3725&amp;context=etd\">Modified Pal Interpolation And Sampling Bilevel Signals With Finite Rate Of Innovation<\/a><\/em><\/p>\n\t\t\t\t\t<\/section>\n\t\t\n<p>&nbsp;<\/p>\n\t\t\t<section id=\"2012\" class=\"ucf-section ucf-section-diss-2012 auto-section\" data-section-link-title=\"2012\" aria-label=\"2012\">\n\t\t\t\t\t<h3>2012<\/h3>\n<p>Ahmadi Abhari, Seyed Hamed (advisor: J. Brennan)<br \/>\n<a href=\"http:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=3349&amp;context=etd\">Quantum Algorithms For: Quantum Phase Estimation, Approximation Of The Tutte Polynomial And Black-box Structures<\/a><\/p>\n\t\t\t\t\t<\/section>\n\t\t\n<p>&nbsp;<\/p>\n\t\t\t<section id=\"2011\" class=\"ucf-section ucf-section-diss-2011 auto-section\" data-section-link-title=\"2011\" aria-label=\"2011\">\n\t\t\t\t\t<h3>2011<\/h3>\n<p>Alrud, Bengt (advisor: D. Dutkay)<br \/>\n<a href=\"http:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=2999&amp;context=etd\"><em>Fractal Spectral Measures in Two Dimensions<\/em><\/a><\/p>\n<p>Chen, Teng (advisor: J. Brennan)<br \/>\n<a href=\"http:\/\/etd.fcla.edu\/CF\/CFE0003933\/Chen_Teng_201108_PhD.pdf\"><em>Algebraic Aspects of (Bio) Nano-Chemical Reaction Networks And Bifurcations in Various Dynamical Systems<\/em><\/a><\/p>\n<p>Davis, Justin (advisor: M. Pensky)<br \/>\n<a href=\"http:\/\/etd.fcla.edu\/CF\/CFE0004097\/JKD_Dissertation.pdf\"><em>Bayesian Model Selection for Classification with Possibly Large Number of Groups<\/em><\/a><\/p>\n<p>Riddlesworth, Tonya (advisor: J. Ren)<br \/>\n<a href=\"http:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=2704&amp;context=etd\"><em>Estimation for the Cox Model with Various Types of Censored Data<\/em><\/a><\/p>\n<p>Shao, Haimei (advisor: J. Yong)<br \/>\n<em><a href=\"http:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=2966&amp;context=etd\">Price Discovery In The U.S. Bond Market Trading Strategies And The Cost Of Liquidity<\/a><\/em><\/p>\n<p>Smith, Todd Blanton (advisor: S. Choudhury)<br \/>\n<em><a href=\"http:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=2971&amp;context=etd\">Variational Embedded Solitons, and Traveling Wavetrains Generated by Generalized Hopf Bifurcations, in Some NLPDE Systems<\/a><\/em><\/p>\n<p>&nbsp;<\/p>\n\t\t\t\t\t<\/section>\n\t\t\n\n\t\t\t<section id=\"2009\" class=\"ucf-section ucf-section-diss-2009 auto-section\" data-section-link-title=\"2009\" aria-label=\"2009\">\n\t\t\t\t\t<h4><strong>2009<\/strong><\/h4>\n<p>&nbsp;<\/p>\n<p><a href=\"http:\/\/www.personal.psu.edu\/djg34\/\">Galiffa, Daniel J<\/a>. (advisor: M. Ismail), Associate Professor of Mathematics, Penn State\u00a0 Beherd.<br \/>\n<em><a href=\"http:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=4920&amp;context=etd\">The Sheffer B-type 1 Orthogonal Polynomial Sequences<\/a><\/em><\/p>\n<p>Konate, Souleymane (advisor: A. Katsevich)<br \/>\n<em><a href=\"http:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=4921&amp;context=etd\">Efficient Cone Beam Reconstruction For The Distorted Circle And Line Trajectory<\/a><\/em><\/p>\n<p>Lopez, Jerry (advisor: D. Han)<br \/>\n<em><a href=\"http:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=4922&amp;context=etd\">Optimal Dual Frames For Erasures And Discrete Gabor Frames<\/a><\/em><\/p>\n<p>Macon, Lisa Fisher (advisor: Y. Zhao)<br \/>\n<a href=\"http:\/\/etd.fcla.edu\/CF\/CFE0002507\/Macon_Lisa_F_200905_PhD.pdf\"><em>Almost Regular Graphs and Edge-Face Colorings of Plane Graphs<\/em><\/a><\/p>\n<p>Shi, Qiling (advisor: Q. Sun)<br \/>\n<a href=\"http:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=4924&amp;context=etd\">Weighted Lp-stability For Localized Infinite Matrices<\/a><\/p>\n<p>Sweet, Erik (advisor: K. Vajravelu)<br \/>\n<a href=\"http:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=4925&amp;context=etd\">Analytical And Numerical Solutions Of Differentialequations Arising In Fluid Flow And Heat Transfer Problems<\/a><\/p>\n\t\t\t\t\t<\/section>\n\t\t\n\t\t\t<section id=\"2008\" class=\"ucf-section ucf-section-diss-2008 auto-section\" data-section-link-title=\"2008\" aria-label=\"2008\">\n\t\t\t\t\t<h3>2008<\/h3>\n<p><a href=\"http:\/\/faculty.valenciacollege.edu\/hboustique\/\">Boustique, Hatim<\/a> (advisors: G. Richardson and R. Mohapatra)<br \/>\n<a href=\"http:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=4691&amp;context=etd\">Lattice-valued Convergence: Quotient Maps<\/a><\/p>\n<p>Bryant, Donald (advisors: X. Li and M. Shah), Associate Professor of Mathematics, Indian River State College<br \/>\n<em><a href=\"http:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=4689&amp;context=etd\">Analysis Of Kolmogorov\u2019s Superposition Theorem And Its Implementation In Applications With Low And High Dimensional Data.<\/a><\/em><\/p>\n<p>Khosravi, Mehrdad (advisor: P. Mikusinski)<br \/>\n<a href=\"http:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=4690&amp;context=etd\">Pseudoquotients: Construction, Applications, And Their Fourier Transform<\/a><\/p>\n<p>Landon, Benjamin (advisor: R. Mohapatra)<br \/>\n<a href=\"http:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=4692&amp;context=etd\"><em>Degree of Approximation of Holder Continuous Functions<\/em><\/a><\/p>\n\t\t\t\t\t<\/section>\n\t\t\n<p>&nbsp;<\/p>\n\t\t\t<section id=\"2007\" class=\"ucf-section ucf-section-diss-2007 auto-section\" data-section-link-title=\"2007\" aria-label=\"2007\">\n\t\t\t\t\t<h3>2007<\/h3>\n<p>Flores, Paul (advisor: R. Mohapatra)<br \/>\n<a href=\"http:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=4159&amp;context=etd\">Categorical Properties Of Lattice-valued Convergence Spaces<\/a><\/p>\n<p>Holmquist, Sonia (advisor: R. Mohapatra)<br \/>\n<a href=\"http:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=4207&amp;context=etd\"><em>An Examination of the Effectiveness of the Adomian Decomposition Method in Fluid Dynamic Applications<\/em><\/a><\/p>\n<p>Mancas, Stefan C. (advisor: S. Choudhury), Professor of Mathematics, Embry-Riddle Aeronautical University.<br \/>\n<a href=\"http:\/\/etd.fcla.edu\/CF\/CFE0001571\/Mancas_Ciprian_S_200705_PhD.pdf\"><em>Dissipative Solitons in the Cubic-Quintic Complex Ginzburg-Landau Equation: Bifurcations and Spatiotemporal Structure<\/em><\/a><\/p>\n<p>Vogel, Thomas (advisor: D.J. Kaup), Associate Professor of Mathematics and Computer Science, Stetson University<br \/>\n<a href=\"http:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=4397&amp;context=etd\">Soliton Solutions Of Nonlinear Partial Differential Equations Using Variational Approximations And Inverse Scattering Techniques<\/a><\/p>\n<p>Wlodarczyk, Tomasz (advisor: C. Schober)<br \/>\n<a href=\"http:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=4415&amp;context=etd\">Stability And Preservation Properties Of Multisymplectic Integrators<\/a><\/p>\n\t\t\t\t\t<\/section>\n\t\t\n<p>&nbsp;<\/p>\n\t\t\t<section id=\"2006\" class=\"ucf-section ucf-section-diss-2006 auto-section\" data-section-link-title=\"2006\" aria-label=\"2006\">\n\t\t\t\t\t<h3>2006<\/h3>\n<p>Cowan, Doris C. (advisors: L. Andrews and C. Young)<br \/>\n<a href=\"http:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=2033&amp;context=etd\">Effects Of Atmospheric Turbulence On The Propagation Of Flattened Gaussian Optical Beams<\/a><\/p>\n<p>He, Bin (advisor: J. Ren)<br \/>\n<a href=\"http:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=1873&amp;context=etd\">Application Of The Empirical Likelihood Method In Proportional Hazards Model<\/a><\/p>\n<p><a href=\"http:\/\/www.uncfsu.edu\/macsc\/faculty-and-staff\/wu-jing\">Jing, Wu<\/a> (advisor: D. Han),\u00a0 Professor of Mathematics at Fayetteville State University<br \/>\n<em><a href=\"http:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=1898&amp;context=etd\">Frames in Hilbert C*-Modules<\/a><\/em><\/p>\n<p>Singh, Neeta (advisor: D. Rollins)<br \/>\n<em><a href=\"http:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=1793&amp;context=etd\">Epidemiological Models For Mutating Pathogens With Temporary Immunity<\/a><\/em><\/p>\n<p>Vetelino, Frida (advisor: C. Young)<br \/>\n<a href=\"http:\/\/etd.fcla.edu\/CF\/CFE0001440\/StromqvistVetelino_Frida_E_200612_PhD.pdf\"><em>Fade Statistics for a Lasercom System and the Joint PDF of a Gamma-Gamma Distributed Irradiance and Its Time Derivative<\/em><\/a><\/p>\n\t\t\t\t\t<\/section>\n\t\t\n<p>&nbsp;<\/p>\n\t\t\t<section id=\"2005\" class=\"ucf-section ucf-section-diss-2005 auto-section\" data-section-link-title=\"2005\" aria-label=\"2005\">\n\t\t\t\t\t<h3>2005<\/h3>\n<p>Bradshaw, David (advisor: M. Pensky)<br \/>\n<em><a href=\"http:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=1532&amp;context=etd\">Decision Theory Classification Of High-dimensional Vectors Based On Small Samples<\/a>\u00a0<\/em><\/p>\n<p>Heard, Astrid (advisor: M. Pensky)<br \/>\n<em><a href=\"http:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=1565&amp;context=etd\">Application Of Statistical Methods In Risk And Reliability<\/a>\u00a0<\/em><\/p>\n<p>Salman, Mohamed (advisor: J. Cannon)<br \/>\n<a href=\"http:\/\/etd.fcla.edu\/CF\/CFE0000551\/Salman_Mohamed_200505_PhD.pdf\"><em>Utilization of Total Mass as a Control in Diffusion Processes<\/em><\/a><\/p>\n\t\t\t\t\t<\/section>\n\t\t\n<p>&nbsp;<\/p>\n\t\t\t<section id=\"2004\" class=\"ucf-section ucf-section-diss-2004 auto-section\" data-section-link-title=\"2004\" aria-label=\"2004\">\n\t\t\t\t\t<h3>2004<\/h3>\n<p>Amezziane, Mohamed (advisor: M. Taylor), Professor, Department of Statistics, Actuarial &amp; Data Sciences, Central Michigan University<br \/>\n<a href=\"http:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=1159&amp;context=etd\">Smoothing Parameter Selection In Nonparametric Functional Estimation<\/a><\/p>\n<p>Edwards, Heather (advisor: M. Taylor)<br \/>\n<a href=\"http:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=1184&amp;context=etd\">Measures Of Concordance Of Polynomial Type<\/a><\/p>\n<p>Masino, Aaron (advisor: C. Young)<br \/>\n<em><a href=\"http:\/\/stars.library.ucf.edu\/cgi\/viewcontent.cgi?article=1036&amp;context=etd\">The Wave Structure Function and Frequency Variance of Optical Waves in Moderate to Strong Atmospheric Turbulence With Application to Laser Radar<\/a><\/em><\/p>\n\t\t\t\t\t<\/section>\n\t\t\n<p>&nbsp;<\/p>\n\t\t\t<section id=\"2003\" class=\"ucf-section ucf-section-diss-2003 auto-section\" data-section-link-title=\"2003\" aria-label=\"2003\">\n\t\t\t\t\t<h3>2003<\/h3>\n<p>Boncek, J. (advisor: D. Han)<br \/>\n<a href=\"http:\/\/stars.library.ucf.edu\/rtd\/767\/\">Studies in tight frames and polar derivatives<\/a><\/p>\n<p>Korotkova, Olga (advisor: L.C. Andrews)<em><br \/>\n<\/em><a href=\"http:\/\/stars.library.ucf.edu\/rtd\/896\/\"><em>Model for a Partially Coherent Gaussian Beam in Atmospheric Turbulence with Applications for Lasercom and LIDAR Systems<\/em><\/a><\/p>\n<p>Muise, R. (advisor: R. Mohapatra)<br \/>\n<a href=\"http:\/\/stars.library.ucf.edu\/rtd\/945\/\"><em>Quadratic Filters for Automatic Pattern Recognition<\/em><\/a><\/p>\n<p>VanDeCar, Sida (advisor: X. Li ), Professor of Mathematics, Valencia College<br \/>\n<a href=\"http:\/\/stars.library.ucf.edu\/rtd\/1058\/\"><em>Inequalities Involving Complex Rational Functions<\/em><\/a><\/p>\n<p>Zamyatin, Alexander (advisor: A. Katsevich)<br \/>\n<em><a href=\"http:\/\/stars.library.ucf.edu\/rtd\/1081\/\">\u00a0Analysis of Cone Beam Reconstruction in Computer Tomography<\/a><\/em><\/p>\n\t\t\t\t\t<\/section>\n\t\t\n<p>&nbsp;<\/p>\n\t\t\t<section id=\"2001\" class=\"ucf-section ucf-section-diss-2001 auto-section\" data-section-link-title=\"2001\" aria-label=\"2001\">\n\t\t\t\t\t<h3>2001<\/h3>\n<p>Boissy, Y. (advisor: G. Richardson)<br \/>\n<a href=\"http:\/\/stars.library.ucf.edu\/rtd\/1114\/\"><em>Parameter Estimates for Fractional Autoregressive Spatial Processes<\/em><\/a><\/p>\n\t\t\t\t\t<\/section>\n\t\t\n<p>&nbsp;<\/p>\n\t\t\t<section id=\"2000\" class=\"ucf-section ucf-section-diss-2000 auto-section\" data-section-link-title=\"2000\" aria-label=\"2000\">\n\t\t\t\t\t<h3>2000<\/h3>\n<p>Al Habash, Ammar (advisor: L.C. Andrews)<br \/>\n<a href=\"http:\/\/stars.library.ucf.edu\/rtd\/1752\/\"><em>The Aperture Averaged Scintillation of the Intensity of a Gaussian Laser Beam Propagated Through Strong Optical Turbulence and Reflected By Various Targets<\/em><\/a><\/p>\n<p><em>ElHor, A. (advisor: M. Pensky) <\/em><br \/>\n<a href=\"http:\/\/stars.library.ucf.edu\/rtd\/1831\/\"><em>Statistical Estimation of the Locations of Lightning Events<\/em><\/a><\/p>\n\t\t\t\t\t<\/section>\n\t\t\n<p>&nbsp;<\/p>\n\t\t\t<section id=\"1999\" class=\"ucf-section ucf-section-diss-1999 auto-section\" data-section-link-title=\"1999\" aria-label=\"1999\">\n\t\t\t\t\t<h3>1999<\/h3>\n<p><a href=\"http:\/\/www.southern.edu\/academics\/academic-sites\/math\/faculty\/kbrown.html\">Brown, K<\/a>. (advisor: S. Choudhury), Professor at Southern Adventist University<br \/>\n<a href=\"http:\/\/stars.library.ucf.edu\/rtd\/2074\/\"><em>Linear and Nonlinear Kelvin-Helmholtz Instabilities of High Velocity Magnetized Shear Layers With Generalized Polytrope Laws<\/em><\/a><\/p>\n\t\t\t\t\t<\/section>\n\t\t\n<p>&nbsp;<\/p>\n\t\t\t<section id=\"1998\" class=\"ucf-section ucf-section-diss-1998 auto-section\" data-section-link-title=\"1998\" aria-label=\"1998\">\n\t\t\t\t\t<h3>1998<\/h3>\n<p>Kelly, D. (advisor: L.C. Andrews)<br \/>\n<a href=\"http:\/\/stars.library.ucf.edu\/rtd\/2435\/\"><em>Temporal Propagation Characteristics of Ultrasound Space-Time Gaussian Pulses In A Laser Satellite Communication System<\/em><\/a><\/p>\n<p>Minkler, Gary (advisor: G. Richardson)<br \/>\n<a href=\"http:\/\/stars.library.ucf.edu\/rtd\/2477\/\"><em>Regularity And Compactness in Fuzzy Convergence Spaces<\/em><\/a><\/p>\n<p>Minkler, Jing Q. (advisor: G. Richardson)<br \/>\n<a href=\"http:\/\/stars.library.ucf.edu\/rtd\/2478\/\"><em>On the Regularity of Probabilistic Convergence and Filter Spaces<\/em><\/a><\/p>\n<p>Tanriver, U. (advisor: S. Choudhury), Associate Professor at Bethune-Cookman University<br \/>\n<a href=\"http:\/\/stars.library.ucf.edu\/rtd\/2554\/\"><em>One And Two Dimensional Coherent Structures Of Nonlinear Partial Differential Equations\u00a0<\/em><em>Via Painlev\u00e9 Analysis<\/em><\/a><\/p>\n\t\t\t\t\t<\/section>\n\t\t\n<p>&nbsp;<\/p>\n<p><strong>To add or update information, please e-mail the <a href=\"mailto:mathgraddir@ucf.edu\">Graduate Program Director<\/a>.<\/strong><\/p>\n<footer><\/footer>\n<footer>\t\t\t<\/div>\n\t\t<\/footer>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"&nbsp; &nbsp;","protected":false},"author":3,"featured_media":0,"parent":1512,"menu_order":10,"comment_status":"closed","ping_status":"closed","template":"template-fullscreen.php","meta":{"_acf_changed":false,"footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-1521","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/sciences.ucf.edu\/math\/wp-json\/wp\/v2\/pages\/1521","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sciences.ucf.edu\/math\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sciences.ucf.edu\/math\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sciences.ucf.edu\/math\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/sciences.ucf.edu\/math\/wp-json\/wp\/v2\/comments?post=1521"}],"version-history":[{"count":15,"href":"https:\/\/sciences.ucf.edu\/math\/wp-json\/wp\/v2\/pages\/1521\/revisions"}],"predecessor-version":[{"id":7747,"href":"https:\/\/sciences.ucf.edu\/math\/wp-json\/wp\/v2\/pages\/1521\/revisions\/7747"}],"up":[{"embeddable":true,"href":"https:\/\/sciences.ucf.edu\/math\/wp-json\/wp\/v2\/pages\/1512"}],"wp:attachment":[{"href":"https:\/\/sciences.ucf.edu\/math\/wp-json\/wp\/v2\/media?parent=1521"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}