Search Constraints

Start Over
Filtering by: Committee Member Gibson, Nathan Remove constraint Committee Member: Gibson, Nathan Decade 2010-2019 Remove constraint Decade: 2010-2019

Search Results

  • 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

  • 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

  • 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

  • Bi-level flexible-robust optimization for energy allocation problems

    Creator:
    Biswas, Arpan
    Abstract:
    A common problem in energy allocation problems is managing the trade-off between selling surplus energy to maximize short term revenue, versus holding surplus energy to hedge against future shortfalls. For energy allocation problems, this surplus represents resource flexibility and is quantified as the surplus energy after meeting the demand. The...
    Resource Type:
    Masters Thesis

  • From Functional Modeling to Optimization : Risk and Safety in the Design Process for Large-Scale Systems

    Creator:
    McIntire, Matthew G.
    Abstract:
    In order to more effectively design large, complex systems, risk must be accounted for throughout the design process. A systematic way to account for risk is by using system model simulation. During the conceptual design phase, functional models can be drawn to help the engineer design their system's functional architecture....
    Resource Type:
    Dissertation
    Full Text:
    Probabilistic Constraints Co-authors: Veronika Vasylkivska, Christopher Hoyle, Nathan Gibson TABLE OF

  • Energy-Aware Gossip Techniques for Wireless Broadcasting

    Creator:
    Li, Tingzhi
    Abstract:
    The current state of research on gossip techniques for wireless broadcasting is very limited because past research efforts have mostly focused on using gossip techniques for multicast communication. On the other hand, those research efforts that have focused on using gossip techniques for wireless broadcast communications ignore energy efficiency and...
    Resource Type:
    Masters Thesis

  • Rapid Grid State Estimation using Singular Value Decomposition

    Creator:
    Kulkarni, Janhavi
    Abstract:
    Synchrophasor technology has gained great momentum with the widely adopted concept of smart grids in power systems at transmission and generation level. This has led to an improved state estimation of a power system with the advent of Phasor Measurement Units (PMU). PMUs contribute in providing real-time information about the...
    Resource Type:
    Masters Thesis
    Full Text:
    Cotilla-Sanchez, Dr. Julia Zhang and Dr. Nathan Gibson for agreeing to be on my committee. Thank you to