Index Catalog // ScholarsArchive@OSU

Finite Element and Finite Difference Methods for Maxwell’s Equations in Metamaterials

Creator:: Stallcup, Isaac A.
Abstract:: In this thesis, we consider Maxwell's Equations and their numerical discretization using finite difference and finite element methods. We first describe Maxwell's equations in linear dielectrics and then present finite difference and finite element methods for this case. We then describe Maxwell's equations in linear metamaterials using the Lorentz and...
Resource Type:: Honors College Thesis
Full Text:: APPROVED: Vrushali Bokil, Mentor, representing Mathematics Nathan Gibson, Committee Member, representing

Automated model parameter extraction for noise coupling analysis in silicon substrates

Creator:: Peterson, Brett
Abstract:: An automated method, requiring the fabrication of a small set of test structures, efficiently extracts the coefficients of Z-parameter based macromodels. The extraction approach has been validated for both heavily and lightly doped substrates and can be applied to a variety of technologies. After the parameters of a macromodel have...
Resource Type:: Masters Thesis
Full Text:: truely grateful for the opportunities they have given me. I would also like to thank my GCR, Nathan

Zonal Resource Adequacy for Voltage Control

Creator:: Boller, Michael D.
Abstract:: In a power system, operators maintain voltage stability through adequate reactive reserves. Maintaining and accessing an efficient allocation of reactive reserves is prohibitively complex because of reactive line losses, the variety of reactive resources, and either limited or variable reactive outputs from renewable sources. By clustering the system into smaller...
Resource Type:: Masters Thesis

Qualitative Analysis of Maxwell-Duffing Models in Nonlinear Optics

Creator:: Tro, Sara K.
Abstract:: In this thesis we analyze a model for Kerr optical materials consisting of Maxwell's equations along with the dispersive Duffing model. We consider Duffing models with cubic and quintic polynomial nonlinearities. We assume a traveling wave solution to this nonlinear electromagnetic system and analyze it using the theory of dynamical...
Resource Type:: Honors College Thesis
Full Text:: Nathan L. Gibson, Committee Member, representing Department of Mathematics Toni Doolen, Dean, Oregon

Predicting the most likely state for a basic geophysical flow : theoretical framework

Creator:: Duran, Rodrigo
Abstract:: Statistical mechanics studies the probability that a system is in a certain state given one or more constraints which are usually fixed conserved quantities. It is a particularly useful and powerful approach for problems with a large number of degrees of freedom where a complete knowledge of the system is...
Resource Type:: Capstone Project
Full Text:: . Nathan L. Gibson and Dr. Radu Dascaliuc Department of Mathematics Oregon State University Kidder Hall

Local Existence for a Non-local Multi-Species Advection-Diffusion Equation with Newtonian Potential

Creator:: Radke, Zachary
Abstract:: In biological models, advection is inherently a non-local process. Coupled with diffusion, it typically models chemotaxis, which is the response of bacteria to the presence of some chemo attractant. For example, E. coli cells use their flagella to probe their surroundings to determine where they should move. The advection-diffusion equation...
Resource Type:: Masters Thesis

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:: been possible without her. I would also like to thank my committee members: Dr. Nathan Gibson, Dr

Hybrid Statistical and Engineering Optimization Architectures in Early Multidisciplinary Designs of Resilience and Expensive Black-box Complex Systems

Creator:: Biswas, Arpan
Abstract:: Practical engineering design problems are generally multi-disciplinary with limited budget and high risk in terms of life loss, economic resources, etc. In the early phase of such problems, selection of true efficient designs is desired while minimizing overall design cost by avoiding expensive search processes. However, the task is difficult...
Resource Type:: Dissertation
Full Text:: . To my committee members, Dr. Matt Cambell and Dr. Nathan Gibson to guide and provide feedbacks of

Topological Design Considering Uncertainty and Hyperelasticity

Creator:: Pham, Trung
Abstract:: Topology optimization (TO) is a mathematical method to find the optimal size, shape and connectivity of a domain under specified conditions, and has had many applications in engineering design. However, challenges remain in realizing TO as an effective design tool for many design situations. Uncertainty is ubiquitous in nature and...
Resource Type:: Dissertation
Full Text:: (Chair), Dr. Matthew Campbell, Dr. Nathan Gibson, Dr. Onan Demirel, and Dr. Judy Liu−whose comments have

Evaluating Stiffness Metrics for Predicting the Cost of Chemical Kinetics Integration

Creator:: Alferman, Andrew Thomas
Abstract:: Simulations of combustion and reacting flows often encounter stiffness in the equations governing chemical kinetics. Explicit solvers for these ordinary differential equations offer low computational expense, but typically cannot efficiently handle stiff systems. In contrast, implicit methods demand greater expense but offer unconditional stability—as a result, most reactive-flow solvers rely...
Resource Type:: Masters Thesis

ScholarsArchive@OSU

Finite Element and Finite Difference Methods for Maxwell’s Equations in Metamaterials

Automated model parameter extraction for noise coupling analysis in silicon substrates

Zonal Resource Adequacy for Voltage Control

Qualitative Analysis of Maxwell-Duffing Models in Nonlinear Optics

Predicting the most likely state for a basic geophysical flow : theoretical framework

Local Existence for a Non-local Multi-Species Advection-Diffusion Equation with Newtonian Potential

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

Hybrid Statistical and Engineering Optimization Architectures in Early Multidisciplinary Designs of Resilience and Expensive Black-box Complex Systems

Topological Design Considering Uncertainty and Hyperelasticity

Evaluating Stiffness Metrics for Predicting the Cost of Chemical Kinetics Integration

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