{"id":331,"date":"2017-04-09T00:27:55","date_gmt":"2017-04-09T04:27:55","guid":{"rendered":"https:\/\/sciencescosmaincms.cm.ucf.edu\/math\/qsun\/?p=331"},"modified":"2017-04-19T11:19:27","modified_gmt":"2017-04-19T15:19:27","slug":"ucf-math-dissertations","status":"publish","type":"post","link":"https:\/\/sciences.ucf.edu\/math\/qsun\/ucf-math-dissertations\/","title":{"rendered":"UCF Math Dissertations"},"content":{"rendered":"
The Math Department has offered the PhD program since 1993 with a financial mathematics track added in Fall 2017. The program has awarded \u00a069 PhD degrees since 1998.<\/p>\n

2017<\/h2>\n

Martin Rolek (advisor: Zixia Song)
\nColoring graphs with forbidden minors<\/em><\/p>\n

2016<\/h2>\n

Ashish \u00a0Bhatt<\/a> (advisor: \u00a0Brian Moore)
\nStructure-preserving finite difference methods for linearly damped differential equations\u00a0<\/em><\/p>\n

Arita Dutta (advisor: Xin Li and Qiyu Sun)
\nWeighted low-rank approximation of matrices: some analytic and numerical aspects<\/em><\/p>\n

Matthew Russo (advisor: \u00a0Sudipto Choudhury)
\nBuilding Lax Integrable Variable-Coefficient Generalizations to Integrable PDEs and Exact Solutions to Nonlinear PDEs<\/a><\/em><\/p>\n

Jeff Shape (advisor: \u00a0Andrew Nevai)
\nA mathematical model for feral cat ecology with application to disease.<\/a><\/p>\n

Maria Strawn (advisor: \u00a0Constance Schober)
\nModeling rogue waves in deep water<\/a><\/em><\/p>\n

Yi Zhu (advisor: Yuanwei \u00a0Qi)
\nComputational Study of Traveling Wave Solutions and Global Stability of Predator-Prey Models<\/a><\/em><\/p>\n<\/header>\n

2015<\/h3>\n

Lei, Ge\u00a0(advisor: M. Nashed)
\nCalibration of Option Pricing in Reproducing Kernel Hilbert Space<\/a><\/em><\/p>\n

Siple, Angela\u00a0(advisor: P. Mikusinski
\n\u00a0Integral Representations of Positive Linear Functionals<\/a><\/em><\/p>\n

2014<\/h3>\n

Baxter, Mathew (advisor: K. Vajravelu)
\nAnalytical solutions to nonlinear differential equations arising in physical problems<\/a><\/em><\/p>\n

Haussermann, John (advisor: D. Dutkay)
\nTiling Properties Of Spectra Of Measures<\/a><\/em><\/p>\n

Krylov, Roman (advisor: A. Katsevich)
\nInversion of the Broken Ray Transform<\/a><\/em><\/p>\n

Martinenko, Evgeny (advisor: M. Pensky)
\nFunctional Data Analysis and its application to cancer data<\/a><\/em><\/p>\n

Sadiq, Kamran<\/a> (advisor: A. Tamasan)
\n\u00a0On the range of the Attenuated Radon Transform in strictly convex sets<\/a>\u00a0<\/em><\/p>\n

Van Gorder, Robert A.<\/a> (<\/em>advisors: D. Kaup and K. Vajravelu)
\nNonlinear Dispersive Partial Differential Equations of Physical Relevance with Applications to Vortex Dynamics <\/em><\/a><\/p>\n

Veras, Johann (advisor: A. Tamasan)
\nElectrical Conductivity Imaging via Boundary Value Problems for the 1-Laplacian<\/a>\u00a0<\/em><\/p>\n

2013<\/h3>\n

Benhaddou, Rida<\/a> (advisor: M. Pensky)
\nNonparametric and Empirical Bayes Estimation Methods<\/em><\/a><\/p>\n

Losert, Bernd (advisor: G. Richardson)
\nExtensions Of S-spaces<\/a><\/em><\/p>\n

Michalak, Martin (advisor: B. Shivamoggi)
\nDynamical Invariants And The Fluid Impulse In Plasma Models<\/a><\/em><\/p>\n

Pecora, Keri Ann (advisor: S. Choudhury)
\nPartially Integrable Pt-symmetric Hierarchies Of Some Canonical Nonlinear Partial Differential Equations<\/a>\u00a0<\/em><\/p>\n

Pehlivan, Saliha (advisors: D. Han and R. Mohapatra)
\n\u00a0Spectrally Uniform Frames And Spectrally Optimal Dual Frames<\/a><\/em><\/p>\n

Pridemore, Kathryn (advisor: M. Pensky)
\n\u00a0Accelerated Life Model with Various Types of Censored Data<\/em><\/a><\/p>\n

Ramesh Gayatri (advisors: Q. Sun and R. Mohapatra)
\n\u00a0Modified Pal Interpolation And Sampling Bilevel Signals With Finite Rate Of Innovation<\/a><\/em><\/p>\n

2012<\/h3>\n

Ahmadi Abhari, Seyed Hamed (advisor: J. Brennan)
\nQuantum Algorithms For: Quantum Phase Estimation, Approximation Of The Tutte Polynomial And Black-box Structures<\/a><\/p>\n

2011<\/h3>\n

Alrud, Bengt (advisor: D. Dutkay)
\nFractal Spectral Measures in Two Dimensions<\/em><\/a><\/p>\n

Chen, Teng (advisor: J. Brennan)
\nAlgebraic Aspects of (Bio) Nano-Chemical Reaction Networks And Bifurcations in Various Dynamical Systems<\/em><\/p>\n

Davis, Justin (advisor: M. Pensky)
\nBayesian Model Selection for Classification with Possibly Large Number of Groups<\/em><\/a><\/p>\n

Riddlesworth, Tonya (advisor: J. Ren)
\nEstimation for the Cox Model with Various Types of Censored Data<\/em><\/a><\/p>\n

Shao, Haimei (advisor: J. Yong)
\n\u00a0Price Discovery In The U.S. Bond Market Trading Strategies And The Cost Of Liquidity<\/a><\/em><\/p>\n

Smith, Todd Blanton (advisor: S. Choudhury)
\nVariational Embedded Solitons, and Traveling Wavetrains Generated by Generalized Hopf Bifurcations, in Some NLPDE Systems<\/a><\/em><\/p>\n

Galiffa, Daniel J<\/a>. (advisor: M. Ismail)
\n\u00a0 \u00a0 \u00a0 \u00a0The Sheffer B-type 1 Orthogonal Polynomial Sequences<\/a><\/em><\/p>\n

Konate, Souleymane (advisor: A. Katsevich)
\n\u00a0 \u00a0 \u00a0 \u00a0Efficient Cone Beam Reconstruction For The Distorted Circle And Line Trajectory<\/a><\/em><\/p>\n

Lopez, Jerry (advisor: D. Han)
\n\u00a0 \u00a0 \u00a0Optimal Dual Frames For Erasures And Discrete Gabor Frames<\/a><\/em><\/p>\n

Macon, Lisa Fisher (advisor: Y. Zhao)
\nAlmost Regular Graphs and Edge-Face Colorings of Plane Graphs<\/em><\/a><\/p>\n

Shi, Qiling (advisor: Q. Sun)
\nWeighted Lp-stability For Localized Infinite Matrices<\/a><\/p>\n

Sweet, Erik (advisor: K. Vajravelu)
\nAnalytical And Numerical Solutions Of Differentialequations Arising In Fluid Flow And Heat Transfer Problems<\/a><\/p>\n

2008<\/h3>\n

Boustique, Hatim<\/a> (advisors: G. Richardson and R. Mohapatra)
\nLattice-valued Convergence: Quotient Maps<\/a><\/p>\n

Bryant, Donald (advisors: X. Li and M. Shah)
\nAnalysis Of Kolmogorov’s Superposition Theorem And Its Implementation In Applications With Low And High Dimensional Data.<\/a><\/em><\/p>\n

Khosravi, Mehrdad (advisor: P. Mikusinski)
\nPseudoquotients: Construction, Applications, And Their Fourier Transform<\/a><\/p>\n

Landon, Benjamin (advisor: R. Mohapatra)
\nDegree of Approximation of Holder Continuous Functions<\/em><\/a><\/p>\n

2007<\/h3>\n

Flores, Paul (advisor: R. Mohapatra)
\nCategorical Properties Of Lattice-valued Convergence Spaces<\/a><\/p>\n

Holmquist, Sonia (advisor: R. Mohapatra)
\nAn Examination of the Effectiveness of the Adomian Decomposition Method in Fluid Dynamic Applications<\/em><\/a><\/p>\n

Mancas, Stefan C. (advisor: S. Choudhury)
\nDissipative Solitons in the Cubic-Quintic Complex Ginzburg-Landau Equation: Bifurcations and Spatiotemporal Structure<\/em><\/a><\/p>\n

Vogel, Thomas (advisor: D.J. Kaup)
\nSoliton Solutions Of Nonlinear Partial Differential Equations Using Variational Approximations And Inverse Scattering Techniques<\/a><\/p>\n

Wlodarczyk, Tomasz (advisor: C. Schober)
\nStability And Preservation Properties Of Multisymplectic Integrators<\/a><\/p>\n

2006<\/h3>\n

Cowan, Doris C. (advisors: L. Andrews and C. Young)
\nEffects Of Atmospheric Turbulence On The Propagation Of Flattened Gaussian Optical Beams<\/a><\/p>\n

He, Bin (advisor: J. Ren)
\nApplication Of The Empirical Likelihood Method In Proportional Hazards Model<\/a><\/p>\n

Jing, Wu<\/a> (advisor: D. Han)
\n\u00a0 \u00a0 \u00a0 \u00a0Frames in Hilbert C*-Modules<\/a><\/em><\/p>\n

Singh, Neeta (advisor: D. Rollins)
\n\u00a0 \u00a0 \u00a0 Epidemiological Models For Mutating Pathogens With Temporary Immunity<\/a><\/em><\/p>\n

Vetelino, Frida (advisor: C. Young)
\nFade Statistics for a Lasercom System and the Joint PDF of a Gamma-Gamma Distributed Irradiance and Its Time Derivative<\/em><\/a><\/p>\n

2005<\/h3>\n

Bradshaw, David (advisor: M. Pensky)
\nDecision Theory Classification Of High-dimensional Vectors Based On Small Samples<\/a>\u00a0<\/em><\/p>\n

Heard, Astrid (advisor: M. Pensky)
\nApplication Of Statistical Methods In Risk And Reliability<\/a>\u00a0<\/em><\/p>\n

Salman, Mohamed (advisor: J. Cannon)
\nUtilization of Total Mass as a Control in Diffusion Processes<\/em><\/a><\/p>\n

2004<\/h3>\n

Amezziane, Mohamed (advisor: M. Taylor)
\nSmoothing Parameter Selection In Nonparametric Functional Estimation<\/a><\/p>\n

Edwards, Heather (advisor: M. Taylor)
\nMeasures Of Concordance Of Polynomial Type<\/a><\/p>\n

Masino, Aaron (advisor: C. Young)
\nThe Wave Structure Function and Frequency Variance of Optical Waves in Moderate to Strong Atmospheric Turbulence With Application to Laser Radar<\/em><\/a><\/p>\n

2003<\/h3>\n

Boncek, J. (advisor: D. Han)
\nStudies in tight frames and polar derivatives<\/a><\/p>\n

Korotkova, Olga (advisor: L.C. Andrews)
\n<\/em>Model for a Partially Coherent Gaussian Beam in Atmospheric Turbulence with Applications for Lasercom and LIDAR Systems<\/em><\/a><\/p>\n

Muise, R. (advisor: R. Mohapatra)
\nQuadratic Filters for Automatic Pattern Recognition<\/em><\/a><\/p>\n

VanDeCar, Sida (advisor: X. Li )
\nInequalities Involving Complex Rational Functions<\/em><\/a><\/p>\n

Zamyatin, Alexander (advisor: A. Katsevich)
\n\u00a0 \u00a0 \u00a0 \u00a0 Analysis of Cone Beam Reconstruction in Computer Tomography<\/a><\/em><\/p>\n

2001<\/h3>\n

Boissy, Y. (advisor: G. Richardson)
\nParameter Estimates for Fractional Autoregressive Spatial Processes<\/em><\/a><\/p>\n

2000<\/h3>\n

Al Habash, Ammar (advisor: L.C. Andrews)
\nThe 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

ElHor, A. (advisor: M. Pensky) <\/em>
\nStatistical Estimation of the Locations of Lightning Events<\/em><\/a><\/p>\n

1999<\/h3>\n

Brown, K<\/a>. (advisor: S. Choudhury)
\nLinear and Nonlinear Kelvin-Helmholtz Instabilities of High Velocity Magnetized Shear Layers With Generalized Polytrope Laws<\/em><\/a><\/p>\n

1998<\/h3>\n

Kelly, D. (advisor: L.C. Andrews)
\nTemporal Propagation Characteristics of Ultrasound Space-Time Gaussian Pulses In A Laser Satellite Communication System<\/em><\/p>\n

Minkler, Gary (advisor: G. Richardson)
\nRegularity And Compactness in Fuzzy Convergence Spaces<\/em><\/a><\/p>\n

Minkler, Jing Q. (advisor: G. Richardson)
\nOn the Regularity of Probabilistic Convergence and Filter Spaces<\/em><\/a><\/p>\n

Tanriver, U. (advisor: S. Choudhury)
\nOne And Two Dimensional Coherent Structures Of Nonlinear Partial Differential Equations\u00a0<\/em>Via Painlev\u00e9 Analysis<\/em><\/a><\/p>\n

To add or update information, please e-mail me at qiyu.sun@ucf.edu.<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"

The Math Department has offered the PhD program since 1993 with a financial mathematics track added in Fall 2017. The program has awarded \u00a069 PhD degrees since 1998. 2017 Martin Rolek (advisor: Zixia Song) Coloring graphs with forbidden minors 2016 Ashish \u00a0Bhatt (advisor: \u00a0Brian Moore) Structure-preserving finite difference methods for linearly damped differential equations\u00a0 Arita […]<\/p>\n","protected":false},"author":19,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_links_to":"","_links_to_target":""},"categories":[1],"tags":[],"class_list":["post-331","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-json\/wp\/v2\/posts\/331","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-json\/wp\/v2\/users\/19"}],"replies":[{"embeddable":true,"href":"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-json\/wp\/v2\/comments?post=331"}],"version-history":[{"count":0,"href":"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-json\/wp\/v2\/posts\/331\/revisions"}],"wp:attachment":[{"href":"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-json\/wp\/v2\/media?parent=331"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-json\/wp\/v2\/categories?post=331"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sciences.ucf.edu\/math\/qsun\/wp-json\/wp\/v2\/tags?post=331"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}