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Filtering by: Creator Slegers, Nathan J. Remove constraint Creator: Slegers, Nathan J. Committee Member Peszynska, Malgorzata Remove constraint Committee Member: Peszynska, Malgorzata Degree Name Master of Science (M.S.) Remove constraint Degree Name: Master of Science (M.S.)

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  • Polynomial Chaos Expansions for Random Ordinary Differential Equations

    Creator:
    McKenzie, Brian
    Abstract:
    We consider numerical methods for finding approximate solutions to Ordinary Differential Equations (ODEs) with parameters distributed with some probability by the Generalized Polynomial Chaos (GPC) approach. In particular, we consider those with forcing functions that have a random parameter in both the scalar and vector case. We then consider linear...
    Resource Type:
    Capstone Project
    Full Text:
    Differential Equations Brian McKenzie Advisor: Dr. Nathan Gibson January 6, 2012 Abstract We consider

  • Using Machine Learning Models and SVD Dimension Reduction to Predict Cancer Outcomes

    Creator:
    Wofford, Rachel
    Abstract:
    Machine learning models are powerful tools which may aid in the prediction of survival outcomes of cancer patients. This study evaluated eight classification models and eight regression models on their ability to predict survival outcomes on breast cancer and prostate cancer data sets from the SEER database. The most accurate...
    Resource Type:
    Capstone Project
    Full Text:
    to Predict Cancer Outcomes Rachel Wofford Advisors: Dr. Nathan Gibson, Dr. Samantha Erwin Oregon

  • Analysis of fourth order numerical methods for the simulation of electromagnetic waves in dispersive media

    Creator:
    Henderson, Scott Edward
    Abstract:
    In this thesis, we investigate the problem of simulating Maxwell's equations in dispersive dielectric media. We begin by explaining the relevance of Maxwell's equations to 21st century problems. We also discuss the previous work on the numerical simulations of Maxwell's equations. Introductions to Maxwell's equations and the Yee finite difference...
    Resource Type:
    Masters Thesis
    Full Text:
    her guidance, this thesis would not be possible. I would also like to thank Dr. Nathan Gibson for his

  • The implicit derivative matching technique for Maxwell's equations in complex heterogeneous media

    Creator:
    Kirk, Anna Rae
    Abstract:
    We construct an implicit derivative matching (IDM) technique for restoring the accuracy of the Yee scheme for Maxwell's equations in dispersive media with material interfaces in one dimension. We consider media exhibiting orientational polarization, which are represented using a Debye dispersive model, examples of which are water and living tissue....
    Resource Type:
    Masters Thesis
    Full Text:
    Dr. Nathan Gibson, Dr. Malgorzata Peszynska, and Dr. Molly Shor for serving on my committee