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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