# Mathematics PhD Recipients

Modeling the Current-Voltage (I-V) Characteristics of the MOSFET Device with Quantum Mechanical Effects due to Thin Oxide near ‘Si/SiO_{2}’ Interface using Asymptotic Methods

(JDP with CSULB) Advisor: Ellis Cumberbatch

Investigating Castillo-Grone's Mimetic Difference Operators in Development of Geophysical Fluid Dynamics Models Implemented on GPGPUs

(JDP with SDSU) Advisor: Jose Castillo

Finding a Novel Way for Fast Sequence Alignment and Exploiting Information Theory inBacterial Genomes and Complete Phages

(JDP with SDSU) Advisor: Robert Edwards

Adaptive Monte Carlo Algorithms for Continuous and Discrete Transport Problems

Advisor: Jerome Spanier

A Computational Workflow for the Estimation of Environmental Viral Diversity in Metagenomes

(JDP with SDSU) Advisor: Forest Rohwer

Stochastic Properties of Uniformly Optimally Reliable Networks (and their Graphs)

Advisors: Milton Sobel (UC Santa Barbara)

Stochastic Dynamics in Coupled Bistable Systems with Applications to Sensor Devices

(JDP with SDSU) Advisor: Visarath In

Dariouch Herve **Babai**

1995

Models of HIV Mutations and Interaction with the Immune System using Differential Equations: Coupling “Diffusion,” Specific and Global Interaction

Advisor: Kenneth Cooke

Dynamics of Two Components Bose-Einstein Condensates

(JDP with SDSU) Advisor: Ellis Cumberbatch

PDE-Based Image and Structure Enhancement for Electron Tomography of Mitochondria

(JDP with SDSU) Advisor: Peter Blomgren

Performance Feedback and Control of Solar Concentrators using Wave Front Sensing Techniques

(JDP with CSULB) Advisor: Hen-Geul Yeh

Completeness and Reflexivity Properties in Topological Vector Spaces using Standard and Nonstandard Methods

Advisor: Sandy Grabiner

An Integrative Approach to Modeling in Systems Biology

(JDP with KGI) Advisor: Ali Nadim

Susan Anne Elizabeth **Berggren**

2012

Computational and Mathematical Modeling of Coupled Superconducting Quantum Interference Devices

(JDP with SDSU) Advisor: Antonio Palacios

Prediction of High Lift Flows with Separation

(JDP with CSULB) Advisor: Tuncer Cebeci

Structure of Gene Expression Networks Derived from Microarray Time Series Data

Advisor: Greg Dewey

Simulated Associating Polymer Networks

(JDP with SDSU) Advisor: Arlette Baljon

Periodic Boundary Value Problems and the Dancer-Fucik Spectrum Under Conditions of Resonance

Advisor: Adolfo Rumbos

Theodoros Spyridon **Bolis**

1971

Differentiable Nuclear Manifolds

Advisor: Robert James

Linear Phase Orthogonal Filter Bank Constructions with Applications to Image and Geometric Approximations

(JDP with CSULB) Advisor: Nick Panagiotacopulos

Discrete Variable Representation of the Angular Variables in Quantum Three-Body Scattering

(JDP with CSULB) Advisor: Alfonso Rueda

Todd **Cadwallader-Olsker**

2007

Proof Schemes and Proof Writing

Advisor: John Angus

Study of Vortex Ring Dynamics in the Nonlinear Schrodinger Equation Utilizing GPU-Accelerated High-Order Compact Numerical Integrators

(JDP with SDSU) Advisor: Ricardo Carretero

Solid and Fluid Mechanics Case Studies in Advanced Electronic Packaging

(JDP with CSULB) Advisor: Hsien-Yang Yeh

Topological Symmetry Groups of Complete Graphs

Advisor: Erica Flapan

Frombrains to populations: Modeling Animal Interactions with their Environment

(JDP with KGI) Advisor: Animesh Ray

Joint Modeling and Analysis of Recurrent and Terminal Events

Advisor: John Angus

Role of the MicroRNA miR-124 in the Regulatory Network Governing PNS Development in Ciona Intestinalis

(JDP with SDSU) Advisor: Robert Zeller

Quasi-Random Techniques for Monte Carlo Methods

Advisor: Jerome Spanier

Optimization: Nurbs and the Quasi-Newton Method

(JDP with CSULB) Advisor: Ortwin Ohtmer

Cherlyn Lee **Converse**

1992

Lower Bounds for the Maximum Number of Stable Pairings for the General Marriage Problem Based on the Latin Marriage Problem

Advisor: Henry A. Krieger

On the Moments of the Number of Curve Crossings by a Stationary Gaussian Process

Advisor: Jerome Spanier

Mathematical Models in Microfluidics: Capillary Electrophoresis and Sessile Drop Physics

Advisor: Ali Nadim

Development of a Parallel Coupler Library with Minimal Inter-Process Synchronization for Large-scale Computer Simulations

(JDP with SDSU) Advisor: Jose Castillo

Wavelet Feature Extraction of High-Range Resolution Radar Profiles using Generalized Gaussian Distributions for Automatic Target Recognition

Advisor: John Angus

Mohamed Osman **El-Doma**

1986

Analysis of Nonlinear Integra-Differential Equations Arising in Age-Dependent Epidemic Models

Advisor: Stavros Busenberg

Disturbance Decoupling with Stability for Nonlinear Systems using Static/Output Feedback: A Geometric Approach

(JDP with CSULB) Advisor: Fumio Hamano

Claudia Rangel **Escareno**

2003

Modeling Biological Responses Using Gene Expression Profiling and Linear Dynamical Statistical Models

Advisors: John Angus and David Wild (KGI)

Mohammad (Al Ahmad) **Eyadat**

2003

Comparative Performance Evaluation of Practical Digital Watermar Embedded Schemes

(JDP with CSULB) Advisors: Samir Chatterjee, Ali Nadim, Dar
-Biau Liu

Identification of Transistor Contact Resistivity

Advisors: Ellis Cumberbatch and Stavros Busenberg

Condensed History Methods for Monte Carlo Solutions of Photon Transport Problems

Advisor: Jerome Spanier

Electrowetting-Based Microfluidics: Modeling and Simulation

Advisor: Ali Nadim

On the Interaction of a Cold Front with a Mountain Ridge

Advisor: Ellis Cumberbatch

Induction of Chromosome Instability by Gene Dosage and Over-Expression in Saccharomyces Cerevisiae

Advisor: Animesh Ray

Mathematical Models of Typhoid Fever

Advisor: Kenneth L. Cooke

Cristina **Garcia-Cardona**

2013

Multiclass Learning on Graphs: Diffuse Interface Models and Beyond

(JDP with SDSU) Advisor: Allon Percus

Cellular Pattern Formation and Noise in O_{(}_{2)} Symmetric Systems

Advisor: Peter Blomgren

Ruben Jeffrey **Glueck**

2013

Pseudo-Spectral and Kronecker Product Methods for Fourth Order Partial Differential Equations

Advisor: Ali Nadim

Cooperative Solution Concepts for Multi-Sided Assignment Games

Advisor: William F. Lucas

Confidence Bounds on Functions of Parameters

Advisor: Janet Myhre

Hamza Abid-ali **Hamza**

1997

Multi-Person Cooperative Games: The Nucleoli Approach Assignment Games

Advisor: William F. Lucas

Perturbation Monte Carlo Methods for the Solution of Inverse Problems

Advisor: Jerome Spanier

Statistical Tests for Stochastic Dominance

Advisor: Henry A. Krieger

Experimental and Numerical Investigations of Steady Turbulent Jets from Round Ribbed Tubes

(JDP with CSULB) Advisor: Hamid Rahai

Statistical and Structural Dynamic Analysis of the Earthman Periometer Measure of Tooth and Implant and Damping Capacity

(JDP with CSULB)
Advisors: Ortwin Ohtmer and John Angus

Studies in Differential Equations and Applications

Advisor: Kenneth L. Cooke

Risk Analysis of Software Development using Bayesian Belief Network and Non-Linear Programming Methods

(JDP with CSULB) Advisors: Dar-Biau Liu & Alpan Raval

Lifting Isomorphisms Between l-algebras of
f-algebras

Advisor: Melvin Henriksen

t -copula Based Credit Risk Modeling in a Network Economy

Advisor: Henry Schellhorn

Extensions of the Theory of the Fractional Calculus with an Application

Advisor: Jerome Spanier

A New Approach in Blind Equalization of Multipath Wireless Channels

(Joint with CSULB) Advisor: Rajendra Kumar

Some Contributions to the Theory of Random Sets

Advisor: Richard Vitale

Khalil Antoun **Kairouz**

2002

Numerical and Experimental Investigations of a Turbulent Junction Flow with Upstream Ribbed Surface

(JDP with CSULB) Advisor: Hamid R. Rahai

Transport Problems and Monte Carlo Methods

Advisor: Jerome Spanier

Monte Carlo and Quasi-Monte Carlo Methods and their Applications

Advisor: Jerome Spanier

John Patrick **Lambert**

1982

Some Developments in Optimal and Quasi-Monte Carlo Quadrature and a New Outlook on a Classical Chebyshev Problem

Advisor: Jerome Spanier

Convexity Conditions on a Class of Lattice Ordered Rings

Advisor: Melvin Henriksen

Neural Networks for Function Approximation and Control System Design

Advisor: Robert Williamson

A Method to Detect Single and Multiple Delamination Problems using a Combined Neural Network Technique and Genetic Algorithm Optimization

(JDP with CSULB) Advisor: Ellis Cumberbatch

Bayesian Parameter and Order Estimation in Profile Hidden Markov Models

Advisor: Alpan Raval

Quasi-Monte Carlo Methods for Transport Equations

Advisor: Jerome Spanier

A Multilevel Framework for PDEs whose Solution Exhibits Fast Transitions

(JDP with SDSU) Advisor: Ellis Cumberbatch

Trees, Tree-Like Structures, and Extreme Points in Banach Spaces

Advisor: Robert James

A Fire Spread Model Using Levet Set Methods

(JDP with CSULB) Advisor: Burkhard Englert

Nonlinear Dynamics Design and Operation of Advanced Magnetic Sensors

(JDP with SDSU) Advisor: Antonio Palacios

Resonance and Strong Resonance for Semilinear Elliptic Equations in R^{N}

Advisor: Adolfo Rumbos

Curve Estimation and Graduation

Advisor: John Angus

Evaluation Modeling in Performance and Resource Allocation for Residential Broadband Gateways

(JDP with CSULB)

Advisor: John. Angus

Neural Networks for Approximation and Control of Continuous Time Nonlinear Systems

(JDP with CSULB) Advisor: A. G. Chassiakos

An Approximation Method for Solving Non-Homogeneous Wave Equations and Related Inverse Problems

Investigation of Progressive Failure Robustness and Alternate Load Paths for Damage Tolerant Structures

(JDP with SDSU) Advisor: Michael E. O’Sullivan

Watermarking Schemes Robust against Affine Attacks: Applied Mathematics, An Application of Digital Image Processing in Information Technology

DNA Visualization with Sacks Spiral Method: An Application in Genomic Engineering

Ab Initio Nuclear Shell Model Calculations of Some Light Nuclei with a Three-Nucleon Force

An Unified Automated Approach to Surface Approximation via Finite Element and Non Uniform Rational B-spline Methods

A Hardware Implementation of the Level Set Method for Robotic Path Finding with Multiple Obstacle Avoidance

Mathematical Modeling and Digital Signal Processing Techniques for Modern Digital Communication Systems

Concatenated Reed-Solomon and Reed-Muller Codecs with Blind Adaptation for CDMA Antenna Array Systems

(JDP with CSULB) Advisor: R. Kumar

Numerical and Experimental Investigations of Two Side-by-Side Turbulent Jets in a Cross Flow

(JDP with CSULB) Advisor: Hamid R. Rahai

Modeling of Rupture Propagation under Different Friction Laws using High-Order Mimetic Operations

Advisor: William F. Lucas

Constructive Neural Networks for Function Approximation and their Application to CFD Shape Optimization