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Theses/Dissertations from 2023

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Viscous Thin-film Models of Nanoscale Self-organization Under Ion Bombardment, Tyler Evans

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Adaptive Multirate Infinitesimal Time Integration, Alex Fish

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Practical Implementation of the Immersed Interface Method with Triangular Meshes for 3D Rigid Solids in a Fluid Flow, Norah Hakami

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Neural Network Learning for PDEs with Oscillatory Solutions and Causal Operators, Lizuo Liu

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A Node Elimination Algorithm for Cubatures of High-Dimensional Polytopes, Arkadijs Slobodkins

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Numerical Methods for Wave Turbulence: Isotropic 3-Wave Kinetic Equations, Steven Walton

Theses/Dissertations from 2021

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Statistical Mechanics of Nonlinear Waves: Growth and Decay of Coherent Structures Interacting with Random Waves, Yuanting Chen

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High-order Flexible Multirate Integrators for Multiphysics Applications, Rujeko Chinomona

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Finite Element Approximation of Solutions of the Equations of Electroporoelasticity, Yu Hu

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A Fast Method For Computing Volume Potentials In The Galerkin Boundary Element Method In 3D Geometries, Sasan Mohyaddin

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Fast Multipole Methods for Wave and Charge Source Interactions in Layered Media and Deep Neural Network Algorithms for High-Dimensional PDEs, Wenzhong Zhang

Theses/Dissertations from 2020

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Modeling Fluid Phenomena in the Context of the Constrained Vapor Bubble System, James Barrett

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Uncertainty Quantification of Nonreflecting Boundary Schemes, Brian Citty

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Nonlinear Photonics in Twisted and Nonlocal Structures, Austin Copeland

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Multigrid for the Nonlinear Power Flow Equations, Enrique Pereira Batista

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Cell Assembly Detection in Low Firing-Rate Spike Train Data, Phan Minh Duc Truong

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The Boundary Element Method for Parabolic Equation and Its Implementation in BEM++, Sihao Wang

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Advection-Reaction-Diffusion Model of Drug Concentration in a Lymph Node, Ting Yan

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A New Class of Discontinuous Galerkin Methods for Wave Equations in Second-Order Form, Lu Zhang

Theses/Dissertations from 2019

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Parallel Multipole Expansion Algorithms and Their Biology Applications, Jiahui Chen

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Model Selection and Experimental Design of Biological Networks with Algebraic Geometry, Anyu Zhang

Theses/Dissertations from 2018

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Swelling as a Stabilizing Mechanism During Ion Bombardment of Thin Films: An Analytical and Numerical Study, Jennifer M. Swenson

Theses/Dissertations from 2017

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High-order Relaxed Multirate Infinitesimal Step Methods for Multiphysics Applications, Jean Sexton