Index Catalog // ScholarsArchive@OSU

The Geometry of the Penrose Diagram for Minkowski Spacetime

Creator:: Siebersma, Maxwell
Abstract:: Culture of Writing Award in Mathematics (2022)
Resource Type:: Technical Report

Stochastic Collocation Error Analysis Within a Kinematic Magnetohydrodynamics Framework

Creator:: Rajbhandari, Evan, Gibson, Nathan L., and Woodside, C. Rigel
Abstract:: We explore one numerical method for dealing with uncertainty quantification, stochastic collocation. We adapt this method for the uncertain kinematic magnetohydrodynamic system. We then demonstrate well-posedness of the uncertain forward problem. We also describe the method in detail, and perform an error analysis of the method, describing the necessary assumptions...
Resource Type:: Preprint

Quantifying uncertainty with stochastic collocation in the kinematic magentohydrodynamic framework

Creator:: Rajbhandari, Evan, Gibson, Nathan L., and Woodside, C. Rigel
Abstract:: We discuss an efficient numerical method for the uncertain kinematic magnetohydrodynamic system. We include aleatoric uncertainty in the parameters, and then describe a stochastic collocation method to handle this randomness. Numerical demonstrations of this method are discussed. We find that the shape of the parameter distributions affect not only the...
Resource Type:: Preprint

Parameter Estimation within a Kinematic Magnetohydrodynamics Framework

Creator:: Rajbhandari, Evan, Gibson, Nathan L., and Woodside, C. Rigel
Abstract:: We discuss the well-posedness of the forward problem for the magnetohydrodynamic system with the inclusion of the ion-slip parameter. We also demonstrate the convergence of a parameter estimation scheme. Focusing on power-generation, we implement and the validate a numerical model with an engineering multi-physics software, COMSOL, using ideal-power equations. We...
Resource Type:: Preprint

Using Euclidean Geometry to Construct Objects in the Elliptic Klein Disk

Creator:: Connolly, Genevieve
Abstract:: Constructions using only a straightedge and compass are basic tools in any geometer's toolbox. We show how to construct an elliptic straightedge and compass in the Klein Disk model of (single) elliptic geometry, using only a Euclidean compass and straightedge.
Resource Type:: Research Paper

Proving Newman's CLT via Stein's Method

Creator:: Barbosa, Bruno, Jantai, Wasamon, Kovchegov, Yevgeniy, and Xu, Guochen
Abstract:: In this paper, we present a new proof of the Newman's CLT based on Stein's method under additional assumptions.
Resource Type:: Technical Report

A program for finding reduced relative spherical pictures

Creator:: Merzenich, Matthias C.
Abstract:: This is a program that searches for reduced spherical pictures over 1-generator, 1-relator relative group presentations with finite cyclic coefficient group. The search is depth-first and builds pictures face-by-face using a prescribed order. This program was written as part of Matthias Merzenich's PhD research. More details are available in the...
Resource Type:: Software or Program Code

Predicting Conductivity Within a Resistive Unsteady MHD Channel

Creator:: Rajbhandari, Evan
Abstract:: The theory behind magnetohydrodynamics (MHD) is utilized to present a 3-D solution to how the induced magnetic field changes with respect to time. Several MHD-based assump- tions are made to simplify the coupling of Maxwell’s equations with two constitutive laws and Ohm’s law. The velocity field is assumed to be...
Resource Type:: Technical Report

Modelling the mass exchange dynamics of oceanic surface and subsurface oil

Creator:: Ramirez, Jorge, Moghimi, Saeed, Restrepo, Juan M., and Venkataramani, Shankar
Abstract:: We propose a time dependent Eulerian model for sea surface entrainment, buoyancy transport and droplet dynamics of ocean oil. The model captures the microscale vertical oil mass exchanges in the neighborhood of the sea surface. This model is in turn part of an oil fate model designed to capture oil...
Resource Type:: Article

Torsion-Free Vertex-Regular Lattices of I55

Creator:: Smith, Samantha T.
Abstract:: This dataset contains the following: 1) A full list of the scaffolded presentations of the torsion-free vertex-regular lattices of Bourdon's building I55, classified up to isomorphism. 2) The source code for the programs used to construct these presentations in the software GAP 4. 3) The source code for the programs...
Resource Type:: Dataset

ScholarsArchive@OSU

The Geometry of the Penrose Diagram for Minkowski Spacetime

Stochastic Collocation Error Analysis Within a Kinematic Magnetohydrodynamics Framework

Quantifying uncertainty with stochastic collocation in the kinematic magentohydrodynamic framework

Parameter Estimation within a Kinematic Magnetohydrodynamics Framework

Using Euclidean Geometry to Construct Objects in the Elliptic Klein Disk

Proving Newman's CLT via Stein's Method

A program for finding reduced relative spherical pictures

Predicting Conductivity Within a Resistive Unsteady MHD Channel

Modelling the mass exchange dynamics of oceanic surface and subsurface oil

Torsion-Free Vertex-Regular Lattices of I55

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