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ACCURATE AND EFFICIENT CALCULATION OF SINGULAR ELECTROSTATIC POTENTIALS IN CHARGE-DIELECTRIC SPHERICAL AND JANUS PARTICLE SYSTEMS
Title
ACCURATE AND EFFICIENT CALCULATION OF SINGULAR ELECTROSTATIC POTENTIALS IN CHARGE-DIELECTRIC SPHERICAL AND JANUS PARTICLE SYSTEMS
Author
Retz, Caylah
Date Created
2018
Subjects--Topical
Molecular biology, Mathematics, Physics
Description
We introduce an efficient and accurate boundary element method for computing the electrostatic potential in closely-packed dielectric spheres and Janus particles. Close physical proximity occurs in modeling molecular ion interactions or colloidal ...
Spectral theory of the Schrodinger operator on general graphs
Title
Spectral theory of the Schrodinger operator on general graphs
Author
Zheng, Lukun
Date Created
2015
Subjects--Topical
Mathematics, Physics
Description
The goal of this dissertation is to give the sufficient conditions for the absence of a.c.spectrum or existence of the pure point (p.p.) spectrum for the deterministic or random Schrodinger operators on the general graphs. For the particular situa...
SOLUTION OF A 1-D INVERSE PROBLEM BY THE CONVEXIFICATION METHOD
Title
SOLUTION OF A 1-D INVERSE PROBLEM BY THE CONVEXIFICATION METHOD
Author
Abney, Ray
Date Created
2019
Subjects--Topical
Mathematics, Physics
Description
In this thesis, we demonstrate a method outlined by Dr. Mikhail Klibanov for solving a 1-D coefficient inverse problem by the convexification method. Our inverse problem in question concerns finding buried bombs, where the dielectric constants of ...
Investigations of Coherence and Structured Light
Title
Investigations of Coherence and Structured Light
Author
Mays, Joseph
Date Created
2023
Subjects--Topical
Optics, Mathematics, Physics
Description
The combination of singular optics and partially coherent fields has become increasingly important in the applications of optical communication and optical imaging. Within this, we focus on the phenomena of optical vortices. We use and study the p...
High throughput non-parametric probability density estimation via novel multithreaded stitching method
Title
High throughput non-parametric probability density estimation via novel multithreaded stitching method
Author
Merino, Zach
Date Created
2019
Subjects--Topical
Mathematics, Statistics, Physics
Description
A method of univariant probability density function (pdf) estimation is developed for big data applications. The method employs the use of a non-parametric maximum entropy estimator (NMEM) for a data driven multithreaded probability density estima...