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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 ...
Computer Implementation of Symplectic Integrators and Their Applications to the N-Body Problem
Title
Computer Implementation of Symplectic Integrators and Their Applications to the N-Body Problem
Author
Casey, Rory
Date Created
2020
Subjects--Topical
Mathematics, Astronomy
Description
This research has worked to develop a general computer implementation for symplectic algorithms applied to the N-body problem. A program was written to evolve an arbitrary N-body problem with an arbitrary symplectic integration algorithm so long a...
Probabilistic Numerical Integration
Title
Probabilistic Numerical Integration
Author
Smalenberger, Kelly
Date Created
2020
Subjects--Topical
Mathematics
Description
In this dissertation, we consider the approximation of unknown or intractable integrals using quadrature, especially when the evaluation of these integrals is considered very costly. This is a central problem both within and without machine learni...