Index Catalog // ScholarsArchive@OSU

Operator Splitting for a Wildfire Model in a Heterogeneous Environment with a Surrogate Wind Velocity Field

Creator:: Pantuso, Nicholas M.
Abstract:: Living in the Pacific Northwest, we are acutely aware of the dangers posed by wildfires. Largely due to the worsening effects of climate change, this danger is only increasing. Along with causing property and economic damage to those communities affected by wildfires, exposure to the smoke generated by wildfires can...
Resource Type:: Masters Thesis
Full Text:: Abstract approved: Malgorzata Peszynska Living in the Pacific Northwest, we are acutely aware of the

Explorations of Optimization Methods for Deep Learning with Examples from Various Applications

Creator:: Zhang, Nachuan
Abstract:: This paper explores some optimization methods such as the gradient descent method, Gauss-Newton method, and stochastic gradient method. Some examples of minimizing objective functions are given to validate the theories. Then we introduce a simple example of artificial neural networks, define its structure, and apply the optimization methods to it....
Resource Type:: Capstone Project
Full Text:: , 2021. The MS Committee consisted of Dr. Malgorzata Peszynska (Adviser), Dr. Robert Higdon and Dr. Ralph

Modeling Flow and Transport at Pore Scale with Obstructions

Creator:: Umhoefer, Joseph G.
Abstract:: In this thesis we study mathematical and computational models for phenomena of flow and transport in porous media in the presence of changing pore scale geometries. The differential equations for the flow and transport models at Darcy scale involve the coefficients of permeability, porosity, and tortuosity which depend on the...
Resource Type:: Dissertation
Full Text:: Transport at Pore Scale with Obstructions Abstract approved: Malgorzata S. Peszyńska In this thesis we

An Exploration of Modeling Concepts for Coupled Flow and Energy Systems with Applications to Geyser Modeling

Creator:: Gonzalez, Diana
Abstract:: In this project we study multiple approaches to modeling coupled flow and energy systems, with applications to geothermal fluid flow in geysers. We explore a model from a geophysical point of view, and discuss analysis of a related model. We then focus on our own model which features a free-boundary...
Resource Type:: Capstone Project
Full Text:: of Science in Mathematics Diana Gonzalez Major Professor: Dr. Malgorzata Peszynska July 27, 2018

Mathematical and Computational Considerations of a Model of Microbiologically Induced Calcite Precipitation

Creator:: Barry, Zachary T.
Abstract:: In this paper, we discuss two possible modifications to a numerical solution method for a model of microbiologically induced calcite precipitation (MICP). MICP provides a means to seal cracks in the surfaces of geological structures. From a mathematical and computational point of view MICP has very interesting features which make...
Resource Type:: Capstone Project
Full Text:: . Malgorzata Peszynska An expository paper submitted to Oregon State University in partial fulfillment of

Model Adaptivity and Numerical Solutions Using Sensitivity Analysis

Creator:: Kennedy, Kenneth M.
Abstract:: In this work we consider the dependence of solutions to a partial differential equations system on its data. The problem of interest is a coupled model of nonlinear flow and transport in porous media, with applications, e.g. to environmental modeling. The model of flow we consider is known as the...
Resource Type:: Dissertation
Full Text:: and Numerical Solutions Using Sensitivity Analysis Abstract approved: Malgorzata Peszynska In this

Hybrid Multiscale Methods with Applications to Semiconductors, Porous Media, and Materials Science

Creator:: Costa, Timothy B.
Abstract:: In this work we consider two multiscale applications with tremendous computational complexity at the lower scale. First, we examine a model for charge transport in semicon- ductor structures with heterojunction interfaces. Due to the complex physical phenomena at the interface, the model at the design scale is unable to adequately...
Resource Type:: Dissertation
Full Text:: : Malgorzata S. Peszynska In this work we consider two multiscale applications with tremendous computational

Modeling and simulation of reaction-diffusion problem applied to bioﬁlm growth

Creator:: Armstrong, Jessica S.
Abstract:: One method for CO2 sequestration is to store the liquid form of CO2 in small cement wells in the ground. An issue with this method is the susceptibility of cement to fracture and thus release the CO2. One proposition is to ﬁll these cracks with bioﬁlm of the bacteria Sporosarcina...
Resource Type:: Honors College Thesis
Full Text:: Problem Applied to Biofilm Growth. Abstract Approved: Malgorzata Peszynska One method for CO2

Mathematical treatment and simulation of methane hydrates and adsorption models

Creator:: Medina, Francis Patricia
Abstract:: In this dissertation we develop mathematical treatment for two important applications: (i) evolution of methane in coalbeds with the associated phenomena of adsorption, and (ii) formation of methane hydrates in seabed. We use simplified models for (i) and (ii) since we are more interested in qualitative properties of the solutions...
Resource Type:: Dissertation
Full Text:: Simulation of Methane Hydrates and Adsorption Models Abstract approved: Malgorzata S. Peszynska In this

Nonlinear finite difference schemes for the Klausmeier system

Creator:: McClellan, Natalia A.
Abstract:: In this work we consider a model for pattern-producing vegetation in semi-arid regions of the world proposed by Klausmeier. It is a coupled nonlinear diffusion-advection evolutionary PDE system describing the vegetation density and water amount. The model was studied extensively by J.Sherratt who took into consideration the field data for...
Resource Type:: Masters Thesis
Full Text:: . Abstract approved: Malgorzata Peszyńska In this work we consider a model for pattern-producing

ScholarsArchive@OSU

Operator Splitting for a Wildfire Model in a Heterogeneous Environment with a Surrogate Wind Velocity Field

Explorations of Optimization Methods for Deep Learning with Examples from Various Applications

Modeling Flow and Transport at Pore Scale with Obstructions

An Exploration of Modeling Concepts for Coupled Flow and Energy Systems with Applications to Geyser Modeling

Mathematical and Computational Considerations of a Model of Microbiologically Induced Calcite Precipitation

Model Adaptivity and Numerical Solutions Using Sensitivity Analysis

Hybrid Multiscale Methods with Applications to Semiconductors, Porous Media, and Materials Science

Modeling and simulation of reaction-diffusion problem applied to bioﬁlm growth

Mathematical treatment and simulation of methane hydrates and adsorption models

Nonlinear finite difference schemes for the Klausmeier system

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