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Filtering by: Committee Member Bokil, Vrushali A. Remove constraint Committee Member: Bokil, Vrushali A. Contributor advisor sim Gibson, Nathan L. Remove constraint Contributor advisor sim: Gibson, Nathan L. Committee Member Peszynska, Malgorzata Remove constraint Committee Member: Peszynska, Malgorzata

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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:
    greatly. I also wish to express my gratitude to my committee members Dr. Vrushali Bokil and Dr. Malgorzata