Index Catalog // Digital WPI

Combinatorics of Complex Maximal Determinant Matrices

Keyword:: maximal determinant matrices, hadamard matrices, combinatorial designs, finite geometries, association schemes, and quadratic and hermitian forms
Creator:: Nunez, Guillermo
Advisor:: Keane, Patrick Gerard
Publisher:: Worcester Polytechnic Institute
Date Created:: 2023-08-09
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

Novel Statistical Methods for Aggregating Correlated and Missing Data with Applications to Chronic Disease Research

Keyword:: correlation-robustness, missing data, Fisher's method, global hypothesis test, and p-value combination
Creator:: Chen, Xiaohui
Advisor:: Wu, Zheyang
Publisher:: Worcester Polytechnic Institute
Date Created:: 2023-08-10
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

Bayesian Predictive Inference for a Study Variable Without Specifying a Link to the Covariates

Keyword:: small area estimation, stick-breaking prior, Bayesian predictive inference, survey weights, multinomial-Dirichlet model, and spatial modeling
Creator:: Lockwood, Ashley
Advisor:: Nandram, Balgobin
Publisher:: Worcester Polytechnic Institute
Date Created:: 2023-04-23
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

Analysis and Homogenization of Partial Differential Equations with Discontinuous Boundary Conditions

Keyword:: Reaction-diffusion-advection equations, Partial differential equations, Duality, Homogenization, Stokes equations, and Moving domains
Creator:: Sato, Riuji
Advisor:: Vernescu, Bogdan M.
Publisher:: Worcester Polytechnic Institute
Date Created:: 2023-04-26
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

Quasi-Static Griffith Fracture Evolution with Boundary Loads

Keyword:: Energy Drops, Boundary Loads, Free Discontinuity Problem, Quasi-Static Fracture Evolution, and Neumann Boundary Conditions
Creator:: Yousefi, Pooya
Advisor:: Larsen, Christopher J.
Publisher:: Worcester Polytechnic Institute
Date Created:: 2023-05-01
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

Price Impact in the VIX Futures Market and Mean-Field Games in two Order Books

Keyword:: S&P500, VIX, ETFs, Price impact, ETNs, and VIX futures
Creator:: Santawisook, Patchara
Advisor:: Sturm, Stephan
Publisher:: Worcester Polytechnic Institute
Date Created:: 2022-12-07
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

Mathematical Principles for Deconstructing Deep Learning: Theory and Application to Electromagnetic Signals

Keyword:: Signal Processing, Activation Function, Electromagnetics, Neural Networks, Deep Learning, and Polynomial Activation
Creator:: Witz, Evan
Advisor:: Paffenroth, Randy Clinton
Publisher:: Worcester Polytechnic Institute
Date Created:: 2022-08-05
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

Robust Deep Learning Algorithms for System Identification

Keyword:: Ordinary Differential Equations, Deep Learning, Neural Network, Generalization Gap, System Identification, and Neural Network Regularization
Creator:: Negrini, Elisa
Advisor:: Capogna, Luca and Citti, Giovanna
Publisher:: Worcester Polytechnic Institute
Date Created:: 2022-04-23
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

Stochastic Controls in Competitions and Mean Field Games

Keyword:: Mutual Funds, Mean Field Games, Game Theory, Nash Equilibrium, Tax, and Stochastic Controls
Creator:: Ye, Jiaxuan
Advisor:: Sturm, Stephan and Wang, Gu
Publisher:: Worcester Polytechnic Institute
Date Created:: 2022-04-26
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

Constraint Bayesian Inference for Count Data from Small Areas

Keyword:: Small Area Estimation, Unimodal Order Restrictions, Bayesian Statistics, Constraint Inference, and Multinomial Data
Creator:: Chen, Xinyu
Advisor:: Nandram, Balgobin
Publisher:: Worcester Polytechnic Institute
Date Created:: 2021-12-04
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

Optimal Ensembles for Deep Learning: Theory and Practice

Keyword:: Deep Learning, Theory, Diversity, Application, Ensemble Learning, and Training Algorithm
Creator:: Li, Wenjing
Advisor:: Paffenroth, Randy Clinton
Publisher:: Worcester Polytechnic Institute
Date Created:: 2021-05-05
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

Nonlinear Numerical Methods for Stochastic Differential Equations

Creator:: Dong, Yuchen
Advisor:: Zhang, Zhongqiang
Publisher:: Worcester Polytechnic Institute
Date Created:: 2020-08-13
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

Bayesian Predictive Inference for a Non-probability Sample with Binary Responses from Small Areas

Keyword:: Selectivity, Dirichlet Process, Double logistic regression, Bayesian hierarchical model, Small area estimation, and Metropolis - Hastings sampler
Creator:: Xu, Zhiqing
Advisor:: Nandram, Balgobin
Publisher:: Worcester Polytechnic Institute
Date Created:: 2020-09-09
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

Global Approximations of Agent-Based Model State Changes

Keyword:: Numerical Partial Differential Equations, Partial Differential Equations, Agent-Based Models, Upscaling, Mathematical Modeling, and Absorption Modeling
Creator:: Yereniuk, Michael A.
Advisor:: Olson, Sarah D
Publisher:: Worcester Polytechnic Institute
Date Created:: 2020-04-21
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

High-order numerical methods for integral fractional Laplacian: algorithm and analysis

Keyword:: stability, regularity, convergence, fractional laplacian, spectral method, and finite difference method
Creator:: Hao, Zhaopeng
Advisor:: Zhang, Zhongqiang
Publisher:: Worcester Polytechnic Institute
Date Created:: 2020-04-30
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

Bayesian Small Area Analyses of the Unrelated Question Design with Multiple Sensitive Questions

Keyword:: Markov chain Monte Carlo methods., Data masking, Hierarchical Bayesian model, Latent variables, Elicitation, Integrated nested normal approximation, Blocked Gibbs sampler, and Logistic regression
Creator:: Yu, Yuan
Advisor:: Nandram, Balgobin
Publisher:: Worcester Polytechnic Institute
Date Created:: 2019-04-24
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

In the Wake of the Financial Crisis - Regulators' and Investors' Perspectives

Keyword:: financial crisis, contagion, systemic risk, backward stochastic differential equations, value adjustments, interbank networks, Eisenbergâ€“Noe clearing vector, option pricing, arbitrage pricing, and sensitivity analysis
Creator:: Pang, Weijie
Advisor:: Sturm, Stephan
Publisher:: Worcester Polytechnic Institute
Date Created:: 2019-04-23
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

Cometric Association Schemes

Keyword:: Graph theory, Commutative algebra, and Association schemes
Creator:: Kodalen, Brian G.
Advisor:: Martin, William J.
Publisher:: Worcester Polytechnic Institute
Date Created:: 2019-04-22
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

A Bayesian Test of Independence for Two-way Contingency Tables Under Cluster Sampling

Keyword:: Surrogate samples; Bayes factor; Hierarchical Baye
Creator:: Bhatta, Dilli
Advisor:: Nandram, Balgobin
Publisher:: Worcester Polytechnic Institute
Date Created:: 2013-04-19
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

Some Problems in the Mathematics of Fracture: Paths From Front Kinetics and a Level Set Method

Keyword:: variational fracture crack fronts level set
Creator:: Richardson, Casey Lyndale
Advisor:: Larsen, Christopher J.
Publisher:: Worcester Polytechnic Institute
Date Created:: 2008-04-25
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

Bayesian Models for the Analyzes of Noisy Responses From Small Areas: An Application to Poverty Estimation

Keyword:: Continuous and Positively Skewed distribution, Logarithmic transformation, Noisy responses, GB2 distribution, Poverty, Hierarchical Bayesian, Metropolis Hastings alogrithm, Noninformative priors, Small Area Estimation, and Non-normality
Creator:: Manandhar, Binod
Advisor:: Nandram, Balgobin
Publisher:: Worcester Polytechnic Institute
Date Created:: 2017-04-26
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

An Asymptotic Approach to Modeling Wave-geometry Interactions in an Electromagnetic Heat Exchanger

Keyword:: heat exchanger, microwave heating, high frequency, Homogenization, Mathematical Modeling, and thermal runaway
Creator:: Gaone, Joseph Michael
Advisor:: Tilley, Burt S.
Publisher:: Worcester Polytechnic Institute
Date Created:: 2018-04-23
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

Kirchhoff Graphs

Keyword:: Kirchhoff graphs, matrices, vector graphs, and matroids
Creator:: Reese, Tyler Michael
Advisor:: Servatius, Brigitte, Paffenroth, Randy Clinton, and Fehribach, Joseph D.
Publisher:: Worcester Polytechnic Institute
Date Created:: 2018-03-22
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

Bayesian Nonparametric Models for Multi-Stage Sample Surveys

Keyword:: nonparametric procedure, Bayes factor, robustness, sample survey, posterior propriety, Small Area Estimation, and Dirichlet process
Creator:: Yin, Jiani
Advisor:: Nandram, Balgobin
Publisher:: Worcester Polytechnic Institute
Date Created:: 2016-04-27
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

3D Multi-Physics MRI-Based Human Right Ventricle Models for Patients with repaired Tetralogy of Fallot: Cardiac Mechanical Analysis and Surgical Outcome Prediction

Keyword:: heart model, Tetralogy of Fallot, pulmonary valve replacement, Right Ventricle, and congenital heart disease
Creator:: Zuo, Heng
Advisor:: Tang, Dalin
Publisher:: Worcester Polytechnic Institute
Date Created:: 2017-04-22
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

Quasi-static Fracture Evolution with Cohesive Energy

Keyword:: Quasi-static Evolution, SBV functions, Fracture Mechanics, and Cohesive Energy
Creator:: Li, Yiqing
Advisor:: Larsen, Christopher J.
Publisher:: Worcester Polytechnic Institute
Date Created:: 2016-07-19
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

Reduced-Dimensional Coupled Electromagnetic, Thermal, and Mechanical Models of Microwave Sintering

Keyword:: dielectrics, Materials, sintering, Simulation, modelling, Modeling, microwave, and ceramics
Creator:: Kiley, Erin Marie
Advisor:: Yakovlev, Vadim V.
Publisher:: Worcester Polytechnic Institute
Date Created:: 2016-04-28
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

Swimming Filaments in a Viscous Fluid with Resistance

Keyword:: Asymptotic Analysis, Numerical Methods, and Brinkman equations
Creator:: Ho, Nguyenho
Advisor:: Olson, Sarah D
Publisher:: Worcester Polytechnic Institute
Date Created:: 2016-04-28
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

Multiscale analysis of emulsions and suspensions with surface effects

Keyword:: suspensions, Γ-convergence, Mosco convergence, Magnetorheological fluids, Homogenization, and emulsions
Creator:: Nika, Grigor
Advisor:: Vernescu, Bogdan M.
Publisher:: Worcester Polytechnic Institute
Date Created:: 2016-04-22
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

A multifrequency method for the solution of the acoustic inverse scattering problem

Keyword:: Inverse problems and Numerical Methods
Creator:: Borges, Carlos
Advisor:: Sarkis-Martins, Marcus
Publisher:: Worcester Polytechnic Institute
Date Created:: 2013-01-08
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

Preferred Frequencies for Coupling of Seismic Waves and Vibrating Tall Buildings

Keyword:: Helmholtz Equation, City-effect, and Periodic Green's function
Creator:: Zheltukhin, Sergey
Advisor:: Volkov, Darko
Publisher:: Worcester Polytechnic Institute
Date Created:: 2013-08-27
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

Fractal Interfaces and Heat Transmission Problems

Keyword:: Homogenization, Finite Element, and Fractal
Creator:: Liang, Haodong
Advisor:: Mosco, Umberto
Publisher:: Worcester Polytechnic Institute
Date Created:: 2013-04-18
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

Random Homogenization for the Stokes Flow through a Leaky Membrane

Keyword:: Mosco convergence, Homogenization, Membranes, and Stokes flow
Creator:: Maris, Razvan Florian
Advisor:: Vernescu, Bogdan M.
Publisher:: Worcester Polytechnic Institute
Date Created:: 2012-04-26
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

Extension Operators and Finite Elements for Fractal Boundary Value Problems

Keyword:: Fractal, Sierpinski Gasket, Extension Operators, Finite Elements, and Koch Curve
Creator:: Evans, Emily Jennings
Advisor:: Mosco, Umberto
Publisher:: Worcester Polytechnic Institute
Date Created:: 2011-04-20
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

Bayesian Predictive Inference and Multivariate Benchmarking for Small Area Means

Keyword:: bayesian predictive inference, benchmarking, Small Area Estimation, and multivariate
Creator:: Toto, Ma. Criselda Santos
Advisor:: Nandram, Balgobin
Publisher:: Worcester Polytechnic Institute
Date Created:: 2010-04-20
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

Anderson Acceleration of Fixed-point Iteration with Applications to Electronic Structure Computations

Keyword:: acceleration and fixed-point
Creator:: Ni, Peng
Advisor:: Walker, Homer F.
Publisher:: Worcester Polytechnic Institute
Date Created:: 2009-11-24
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

In Vivo MRI-Based Three-Dimensional Fluid-Structure Interaction Models and Mechanical Image Analysis for Human Carotid Atherosclerotic Plaques

Keyword:: rupture, plaque vulnerability assessment , atherosclerotic plaque, fluid-structure Interaction models , and MRI-based
Creator:: Huang, Xueying
Advisor:: Tang, Dalin
Publisher:: Worcester Polytechnic Institute
Date Created:: 2009-05-04
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

Numerical Solution of a Transmission Problem with Prefractal Interface

Keyword:: Finite Element, singularities, transmission, Fractal, and prefractal
Creator:: Wasyk, Rebecca Dawn
Advisor:: Mosco, Umberto
Publisher:: Worcester Polytechnic Institute
Date Created:: 2007-12-04
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

New results in the multiscale analysis on perforated domains and applications

Keyword:: G-convergence, Multiscale, and perforated domains
Creator:: Onofrei, Daniel T.
Advisor:: Vernescu, Bogdan M.
Publisher:: Worcester Polytechnic Institute
Date Created:: 2007-04-23
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

Inexact Newton Methods Applied to Under-Determined Systems

Keyword:: Inexact Newton Methods, Trust Region Methods, Nonlinear Eigenvalue, Under-Determined Systems, Periodic Solutions, Newton's Method, and Continuation
Creator:: Simonis, Joseph P
Advisor:: Walker, Homer F.
Publisher:: Worcester Polytechnic Institute
Date Created:: 2006-05-04
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

Newton-Picard Gauss-Seidel

Keyword:: dynamical systems, Picard, Periodic Solutions, and Newton
Creator:: Simonis, Joseph P.
Advisor:: Walker, Homer F.
Publisher:: Worcester Polytechnic Institute
Date Created:: 2005-05-13
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

Optimal Design of Gradient Fields with Applications to Electrostatics

Keyword:: gradient fields, optimal design, laminates, and functionally graded materials
Creator:: Velo, Ani P.
Advisor:: Lipton, Robert P.
Publisher:: Worcester Polytechnic Institute
Date Created:: 2000-06-16
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

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