Search results
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Title
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RANDOMIZED NUMERICAL LINEAR ALGEBRA FOR KERNEL MATRIX COMPRESSION
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Author
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Maniar, Saumya Kandarp
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Date Created
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2020
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Subjects--Topical
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Mathematics
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Description
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Matrices are used significantly as a medium to store data in many applications likeData Science, Computer Science, Statistics, and Applied Mathematics. Matrix computationslike matrix multiplication, matrix inversion, eigenvalue decomposition, sing...
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Title
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A Cut-Cell Based Ghost Fluid Method for Multi-Component Compressible Flows
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Author
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Liu, Chen
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Date Created
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2020
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Subjects--Topical
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Fluid mechanics
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Description
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Multi-material compressible flows are observed in several applications of practical relevance including combustion, cavitation and shock lithotripsy. To solve such flows numerically with improved efficiency and accuracy, the use of the Ghost Fluid...
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Title
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ABSOLUTE DISTANCE (THICKNESS) METROLOGY USING WAVELENGTH SCANNING INTERFEROMETRY
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Author
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Suratkar, Amit
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Date Created
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2009
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Subjects--Topical
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Optics, Optical engineering, Metrology
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Description
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Wavelength scanning interferometry offers a new dimension in precision metrology by measuring the cavity length (thickness), the cavity length variation over the cavity area (flatness), and the optical homogeneity within a transparent cavity; with...
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Title
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IMAGE CHARGE SOLVATION MODEL (ICSM) FOR SIMULATING BIOMOLECULES AND KCSA ION-CHANNELS
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Author
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Baker, Katherine
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Date Created
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2014
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Subjects--Topical
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Mathematics
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Description
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We present an order N method for calculating electrostatic interactions that has been integrated into the molecular dynamics portion of the TINKER Molecular Modeling package. This method, termed the Image-Charge Solvation Model (ICSM), and introdu...
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Title
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From Nonradiating Sources to Directionally Invisible Objects
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Author
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Hurwitz, Elisa
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Date Created
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2017
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Subjects--Topical
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Optics, Physics
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Description
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The goal of this dissertation is to extend the understanding of invisible objects, in particular nonradiating sources and directional nonscattering scatterers. First, variations of null-field nonradiating sources are derived from Maxwell's equatio...
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Title
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HYDRODYNAMIC SIMULATIONS OF EJECTA PRODUCTION FROM SHOCKED METALLIC SURFACES
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Author
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Karkhanis, Varad
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Date Created
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2017
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Subjects--Topical
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Mechanical engineering, Mechanics, Aerospace engineering
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Description
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The phenomenon of mass ejection into vacuum from a shocked metallic free surfaces can have a deleterious effect on the implosion phase of the Inertial Confinement Fusion (ICF) process. Often, the ejecta take the form of a cloud of particles that a...
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Title
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Minimizing Task-Specific Uncertainty in CMM-Based Freeform Optics Metrology
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Author
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Uwakwe, Michael
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Date Created
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2018
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Subjects--Topical
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Mechanical engineering, Optics, Metrology
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Description
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Measurements of surface form involve a comparison between the form of the test surface and a reference. In coordinate measuring machine (CMM) measurements, this reference is the machine geometry. The measurement results typically show a height map...
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Title
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A NUMERICAL STUDY OF INTERFACIAL INSTABILITIES IN SHOCKED MATERIALS WITH SURFACE TENSION
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Author
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Bigdelou, Pedram
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Date Created
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2020
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Subjects--Topical
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Fluid mechanics, Physics
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Description
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Shock-driven multi-material flows occur in several applications including shock wave lithotripsy, underwater explosions, droplet combustion, propeller cavitation and ejection of material from surfaces subject to blast loading. Such flows are highl...
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Title
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Numerical models of COVID-19
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Author
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Cung, Benjamin
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Date Created
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2021
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Subjects--Topical
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Mathematics
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Description
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COVID-19 is an ongoing infectious disease where individuals progress through the following four stages: susceptible (S), exposed (E), infected (I), and recovered (R). The standard mathematical model for the spread of such diseases through a large ...
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Title
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SCHWARZ METHODS FOR FOURTH-ORDER PROBLEMS CONTAINING SINGULARITIES
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Author
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Palta, Birce
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Date Created
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2019
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Subjects--Topical
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Mathematics
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Description
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We develop numerical methods for analysis of fourth-order partial differential equations on domains with angular corners. For the finite element analysis of fourth-order partial differential equations, we have to use smoother basis functions whose...
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Title
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Inverse source problems for elliptic and parabolic equations
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Author
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Li, Qitong
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Date Created
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2019
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Subjects--Topical
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Mathematics
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Description
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In this dissertation, we solve two inverse problems. The first one is the inverse source problem for the Helmholtz equation that governs the wave propagating in anisotropic media. The second one is to recover the initial condition for parabolic eq...
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Title
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Isogeometric collocation method for elasticity problems containing singularities
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Author
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Rattan, Puja
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Date Created
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2016
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Subjects--Topical
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Mathematics
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Description
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Isogeometric analysis (IGA), introduced by Hughes, et al. [2,3], is a mathematical approach that combines Finite Element analysis (FEA) in conjunction with engineering design tools, such as CAD, which allows analysis, testing and redesign of struc...
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Title
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High Order H(div) Discontinuous Galerkin Methods for MHD Equations
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Author
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Wu, Jian
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Date Created
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2016
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Subjects--Topical
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Mathematics
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Description
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In this dissertation, we investigate the divergence-free discontinuous Galerkin method using the $\mathcal{H}$(\textbf{div}) basis, to solve the nonlinear ideal magnetohydrodynamics (MHD) equations. This is a novel approach to ensure the divergenc...
