Applied And Computational Mathematics

2026 · 2025 · 2024 · 2023 · 2022 · 2021 · 2020 · 2019 · 2017 · 2016 · 2015 · 2014 · 2013 · 2012 · 2011 · 2010 · 2009 · 2008 · 2007 · 2006 · 2005 · 2004 · 2003 · 2002 · 2001 · 2000 · 1999 · 1998 · 1997 · 1996 · 1995 · 1994 · 1993 · 1992 · 1991 · 1990

2026

• Calvello, Edoardo — Operator Learning for Inference in Dynamical Systems (Dissertation (Ph.D.))
• Levin, Eitan — Any-Dimensional Data Science: Learning, Optimization, and Sampling (Dissertation (Ph.D.))
• Wang, Yixuan — Singularity Formation: Synergy in Theoretical, Numerical and Machine Learning Approaches (Dissertation (Ph.D.))

2025

• Epperly, Ethan Nicholas — Make the Most of What You Have: Resource-Efficient Randomized Algorithms for Matrix Computations (Dissertation (Ph.D.))

2024

• Burov, Dmitry Anatolyevich — Kernel Methods for Learning About Complex Dynamical Systems (Dissertation (Ph.D.))
• Leibovici, Daniel Victor — General Domain FC-Based Shock Dynamics Solver (Dissertation (Ph.D.))
• Soliman, Yousuf Mounir — Discrete Constrained Willmore Surfaces (Dissertation (Ph.D.))

2023

• Bauinger, Christoph — The "Interpolated Factored Green Function" Method (Dissertation (Ph.D.))
• Chen, Yifan — On Multiscale and Statistical Numerical Methods for PDEs and Inverse Problems (Dissertation (Ph.D.))
• Zhang, Shumao — Singularity Formation in the High-Dimensional Euler Equations and Sampling of High-Dimensional Distributions by Deep Generative Networks (Dissertation (Ph.D.))
• Zhang, Ziyun — Low-Rank Matrix Recovery: Manifold Geometry and Global Convergence (Dissertation (Ph.D.))

2022

• Chen, Jiajie — Singularity Formation in Incompressible Fluids and Related Models (Dissertation (Ph.D.))
• Kovachki, Nikola Borislavov — Machine Learning and Scientific Computing (Dissertation (Ph.D.))

2021

• Anderson, Thomas Geoffrey — Hybrid Frequency-Time Analysis and Numerical Methods for Time-Dependent Wave Propagation (Dissertation (Ph.D.))
• Schäfer, Florian Tobias — Inference, Computation, and Games (Dissertation (Ph.D.))

2020

• Fernandez-Lado, Agustin Gabriel — Wave-Scattering by Periodic Media (Dissertation (Ph.D.))
• Garza Gonzalez, Emmanuel — Boundary Integral Equation Methods for Simulation and Design of Photonic Devices (Dissertation (Ph.D.))
• Huang, De — Positive Definite Matrices: Compression, Decomposition, Eigensolver, and Concentration (Dissertation (Ph.D.))

2019

• Budninskiy, Maxim A. — Geometry-Driven Model Reduction (Dissertation (Ph.D.))
• Soh, Yong Sheng — Fitting Convex Sets to Data: Algorithms and Applications (Dissertation (Ph.D.))

2017

• Bruer, John Jacob — Recovering Structured Low-rank Operators Using Nuclear Norms (Dissertation (Ph.D.))
• Catanach, Thomas Anthony — Computational Methods for Bayesian Inference in Complex Systems (Dissertation (Ph.D.))
• Chen, Yuhua Richard — Concentration Inequalities of Random Matrices and Solving Ptychography with a Convex Relaxation (Dissertation (Ph.D.))
• Chern, Albert Ren-Haur — Fluid Dynamics with Incompressible Schrödinger Flow (Dissertation (Ph.D.))
• Liu, Pengfei — Spatial Profiles in the Singular Solutions of the 3D Euler Equations and Simplified Models (Dissertation (Ph.D.))
• Pérez Arancibia, Carlos Andrés — Windowed Integral Equation Methods for Problems of Scattering by Defects and Obstacles in Layered Media (Dissertation (Ph.D.))
• Zhang, Pengchuan — Compressing Positive Semidefinite Operators with Sparse/Localized Bases (Dissertation (Ph.D.))

2016

• Akhmetgaliyev, Eldar — Fast Numerical Methods for Mixed, Singular Helmholtz Boundary Value Problems and Laplace Eigenvalue Problems - with Applications to Antenna Design, Sloshing, Electromagnetic Scattering and Spectral Geometry (Dissertation (Ph.D.))

2015

• Cubillos-Moraga, Max Anton — General-Domain Compressible Navier-Stokes Solvers Exhibiting Quasi-Unconditional Stability and High Order Accuracy in Space and Time (Dissertation (Ph.D.))
• Mason, Gemma Ellen — Full and Model-Reduced Structure-Preserving Simulation of Incompressible Fluids (Dissertation (Ph.D.))

2014

• Ahn, Hyoung Jun — Random Propagation in Complex Systems: Nonlinear Matrix Recursions and Epidemic Spread (Dissertation (Ph.D.))
• Amlani, Faisal — A New High-Order Fourier Continuation-Based Elasticity Solver for Complex Three-Dimensional Geometries (Dissertation (Ph.D.))
• Ci, Maolin — Multiscale Model Reduction Methods for Deterministic and Stochastic Partial Differential Equations (Dissertation (Ph.D.))
• Sanan, Patrick David — Geometric Elasticity for Graphics, Simulation, and Computation (Dissertation (Ph.D.))
• Tavallali, Peyman — Sparse Time-Frequency Data Analysis: A Multi-Scale Approach (Dissertation (Ph.D.))
• Tyranowski, Tomasz Michal — Geometric Integration Applied to Moving Mesh Methods and Degenerate Lagrangians (Dissertation (Ph.D.))

2013

• Cheng, Mulin — Adaptive Methods Exploring Intrinsic Sparse Structures of Stochastic Partial Differential Equations (Dissertation (Ph.D.))
• Elling, Timothy James — GPU-Accelerated Fourier-Continuation Solvers and Physically Exact Computational Boundary Conditions for Wave Scattering Problems (Dissertation (Ph.D.))
• Gittens, Alex A. — Topics in Randomized Numerical Linear Algebra (Dissertation (Ph.D.))
• McCoy, Michael Brian — A Geometric Analysis of Convex Demixing (Dissertation (Ph.D.))
• Stobbe, Peter — Convex Analysis for Minimizing and Learning Submodular Set Functions (Dissertation (Ph.D.))

2012

• Hu, Xin — Multiscale Modeling and Computation of 3D Incompressible Turbulent Flows (Dissertation (Ph.D.))
• Huang, Jinghao — Discrete Differential Form Subdivision and Vector Field Generation over Volumetric Domain (Dissertation (Ph.D.))
• Lintner, Stéphane Karl — High-Order Integral Equation Methods for Diffraction Problems Involving Screens and Apertures (Dissertation (Ph.D.))

2011

• Becker, Stephen R. — Practical Compressed Sensing: Modern Data Acquisition and Signal Processing (Dissertation (Ph.D.))
• Beni, Catherine Elizabeth — Simulation Capabilities for Challenging Medical Imaging and Treatment Planning Problems (Dissertation (Ph.D.))
• Plan, Yaniv — Compressed Sensing, Sparse Approximation, and Low-Rank Matrix Estimation (Dissertation (Ph.D.))
• Vyetrenko, Svitlana S. — Network Coding for Error Correction (Dissertation (Ph.D.))

2010

• Chu, Chia-Chieh — Multiscale Methods for Elliptic Partial Differential Equations and Related Applications (Dissertation (Ph.D.))
• Gawlik, Evan S. — Geometric, Variational Discretization of Continuum Theories (Senior thesis (Minor))

2009

• Li, Zhiyi — High-Order Solution of Elliptic Partial Differential Equations in Domains Containing Conical Singularities (Dissertation (Ph.D.))
• Lyon, Mark Edward — High-Order Unconditionally-Stable FC-AD PDE Solvers for General Domains (Dissertation (Ph.D.))
• Othmer, Jonathan Andrew — Algorithms for Mapping Nucleic Acid Free Energy Landscapes (Dissertation (Ph.D.))
• Stern, Ari Joshua — Geometric Discretization of Lagrangian Mechanics and Field Theories (Dissertation (Ph.D.))

2008

• Donaldson, Roger David — Discrete Geometric Homogenisation and Inverse Homogenisation of an Elliptic Operator (Dissertation (Ph.D.))
• Helgason, Hannes — Nonparametric Detection and Estimation of Highly Oscillatory Signals (Dissertation (Ph.D.))
• Hoch, David — Nonreflecting Boundary Conditions Obtained from Equivalent Sources for Time-Dependent Scattering Problems (Dissertation (Ph.D.))
• Monro, John Anderson — A Super-Algebraically Convergent, Windowing-Based Approach to the Evaluation of Scattering from Periodic Rough Surfaces (Dissertation (Ph.D.))
• Sweatlock, Sarah Lynne — Asymptotic Weight Analysis of Low-Density Parity Check (LDPC) Code Ensembles (Dissertation (Ph.D.))
• Tian, Lixiu — Effective Behavior of Dielectric Elastomer Composites (Dissertation (Ph.D.))
• Wang, Ke — A Subdivision Approach to the Construction of Smooth Differential Forms (Dissertation (Ph.D.))

2007

• Bou-Rabee, Nawaf Mohammed — Hamilton-Pontryagin Integrators on Lie Groups (Dissertation (Ph.D.))
• Dondl, Patrick Werner — Structure and Evolution of Martensitic Phase Boundaries (Dissertation (Ph.D.))
• Latini, Marco — Simulations and Analysis of Two- and Three-Dimensional Single-Mode Richtmyer-Meshkov Instability using Weighted Essentially Non-Oscillatory and Vortex Methods (Dissertation (Ph.D.))
• Zhang, Lei — Metric Based Upscaling for Partial Differential Equations with a Continuum of Scales (Dissertation (Ph.D.))

2006

• Demanet, Laurent — Curvelets, Wave Atoms, and Wave Equations (Dissertation (Ph.D.))
• Goulet, David Michael — Mathematical Models of the Developing C. elegans Hermaphrodite Gonad (Dissertation (Ph.D.))
• Luo, Wuan — Wiener Chaos Expansion and Numerical Solutions of Stochastic Partial Differential Equations (Dissertation (Ph.D.))
• Strinopoulos, Theofilos — Upscaling Immiscible Two-Phase Flows in an Adaptive Frame (Dissertation (Ph.D.))

2005

• Stredie, Valentin Gabriel — Mathematical Modeling and Simulation of Aquatic and Aerial Animal Locomotion (Dissertation (Ph.D.))
• Westhead, Andrew Neil — Upscaling for Two-Phase Flows in Porous Media (Dissertation (Ph.D.))
• Yu, Xinwei — Localized Non-bBlowup Conditions for 3D Incompressible Euler Flows and Related Equations (Dissertation (Ph.D.))

2004

• Camp, Charles David — Temporal and Spatial Patterns of the Interannual Variability of Stratospheric Ozone and Dynamics (Dissertation (Ph.D.))
• Chaubell, Mario Julián — Low-Coherence Interferometric Imaging: Solution of the One-Dimensional Inverse Scattering Problem (Dissertation (Ph.D.))

2003

• Fetecau, Razvan Constantin — Variational Methods for Nonsmooth Mechanics (Dissertation (Ph.D.))
• Greenberg, Andrei Yakovlevich — Chebyshev Spectral Method for Singular Moving Boundary Problems with Application to Finance (Dissertation (Ph.D.))
• Howard, Elizabeth Anne — A Front Tracking Method for Modelling Thermal Growth (Dissertation (Ph.D.))
• Hyde, Edward McKay — Fast, High-Order Methods for Scattering by Inhomogeneous Media (Dissertation (Ph.D.))
• Kastner, Jason Christopher — Modeling a Hox Gene Network: Stochastic Simulation with Experimental Perturbation (Dissertation (Ph.D.))
• Mauch, Sean Patrick — Efficient Algorithms for Solving Static Hamilton-Jacobi Equations (Dissertation (Ph.D.))

2002

• Craciun, Bogdan — Phase Boundary Propagation in Heterogeneous Media (Dissertation (Ph.D.))
• Petrasek, Danny — Diffusion-Mediated Regulation Endocrine Networks (Dissertation (Ph.D.))

2001

• Hu, Gang — Singularity formation in three-dimensional vortex sheets (Dissertation (Ph.D.))
• Louie, Michael — Numerical study of pattern forming processes in models of rotating Rayleigh-Bénard convection (Dissertation (Ph.D.))
• Tokman, Mayya — Magnetohydrodynamic modeling of solar magnetic arcades using exponential propagation methods (Dissertation (Ph.D.))

2000

• Park, Peter J. — Multiscale numerical methods for the singularly perturbed convection-diffusion equation (Dissertation (Ph.D.))
• Si, Hui — Numerical study of interfacial flow with surface tension in two and three dimensions (Dissertation (Ph.D.))

1999

• Aivazis, Keri Ann — A Spherical Vortex Model for Homogeneous Turbulence (Dissertation (Ph.D.))
• Efendiev, Yalchin R. — The Multiscale Finite Element Method (MsFEM) and Its Applications (Dissertation (Ph.D.))
• Gallagher, Donal A. — Saffman-Taylor fingers in deformed Hele-Shaw cells (Dissertation (Ph.D.))
• Kang, Sung Phill — A study of viscous flow past axisymmetric and two-dimensional bodies (Dissertation (Ph.D.))
• Lahey, Patrick M. — A fixed-grid numerical method for dendritic solidification with natural convection (Dissertation (Ph.D.))
• Love, Philip — Bifurcations in Kolmogorov and Taylor-vortex flows (Dissertation (Ph.D.))

1998

• Crowdy, Darren G. — Exact solutions for two-dimensional Stokes flow (Dissertation (Ph.D.))
• Hill, David J. — Part I. Vortex dynamics in wake models. Part II. Wave generation (Dissertation (Ph.D.))
• Meloon, Mark Robert — Models of Richtmyer-Meshkov instability in continuously stratified fluids (Dissertation (Ph.D.))
• Rudnev, Mikhail K. — Exponentially small splitting of separatrices and the Arnold's diffusion problem (Dissertation (Ph.D.))
• Sgoureva-Philippakos, Russina — Nonlinear effects in elastic Rayleigh waves (Dissertation (Ph.D.))

1997

• Haroldsen, David John — The numerical calculation of three-dimensional water waves using a boundary integral method (Dissertation (Ph.D.))
• Rathinam, Muruhan — Differentially flat nonlinear control systems (Dissertation (Ph.D.))
• Regelson, Moira Ellen — Protein structure/function classification using hidden Markov models (Dissertation (Ph.D.))

1996

• Ardalan, Kayvan — Compressible vortex arrays (Dissertation (Ph.D.))

1995

• Lough, Michael F. — The motion of thin-cored vortex filaments : the equations of motion and their solution for some special cases (Dissertation (Ph.D.))

1994

• Buntine, James D. — Part I: Inviscid, swirling flows and vortex breakdown. Part II: A numerical investigation of the Lundgren turbulence model (Dissertation (Ph.D.))
• Conley, Andrew — New plane shear flows (Dissertation (Ph.D.))
• Edwards, David A. — A model for nonlinear diffusion in polymers (Dissertation (Ph.D.))
• Von Sosen, Harald — Part I: Folds and bifurcations in the solutions of semi-explicit differential-algebraic equations. Part II: The recursive projection method applied to differential-algebraic equations and incompressible fluid mechanics (Dissertation (Ph.D.))

1993

• Ryan, Barry James — Lie-Poisson integrators in Hamiltonian fluid mechanics (Dissertation (Ph.D.))

1992

• Ammons, Richard Lewis Martin — Mathematical control theory for liquid chromatography (Dissertation (Ph.D.))
• Kaper, Tasso J. — Part I. On the structure in separatrix-swept regions of slowly-modulated Hamiltonian systems. Part II. On the quantification of mixing in chaotic Stokes' flows : the eccentric journal bearing (Dissertation (Ph.D.))
• Lui, Shiu-Hong — Part I: Multiple bifurcations. Part II: Parallel homotopy method for the real nonsymmetric eigenvalue problem (Dissertation (Ph.D.))
• Melman, Aharon — Complexity analysis for the Newton modified barrier function method (Dissertation (Ph.D.))
• van Putten, Maurice H. P. M. — MHD in divergence form : a computational method for astrophysical flow (Dissertation (Ph.D.))

1991

• Mudkavi, Vidyadhar Yogeshwar — Numerical studies of nonlinear axisymmetric waves on vortex filaments (Dissertation (Ph.D.))
• Pham, Thu — Numerical studies of incompressible Richtmyer-Meshkov instability in a stratified fluid (Dissertation (Ph.D.))

1990

• Hayes, Catherine Kent — Diffusion and stress driven flow in polymers (Dissertation (Ph.D.))
• Kovacic, Gregor — Chaos in a model of the forced and damped sine-Gordon equation (Dissertation (Ph.D.))
• McLachlan, Robert Iain — Separated viscous flows via multigrid (Dissertation (Ph.D.))
• Morlet, Anne Chantal — Part I. Numerical experiments for the computation of invariant curves in dynamical systems. Part II. Numerical convergence results for a one-dimensional Stefan problem (Dissertation (Ph.D.))
• Shinn-Mendoza, Rachel — Shocks and instabilities in traffic (Dissertation (Ph.D.))