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Filtering by: Subject Numerical analysis Remove constraint Subject: Numerical analysis Committee Member Higdon, Robert L. Remove constraint Committee Member: Higdon, Robert L.

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  • Numerical Study of Convexity Splitting Scheme for Coupled Phase Field and Stefan Free Boundary Problems

    Creator:
    Bigler, Lisa A.
    Abstract:
    In this work, we consider a convexity splitting scheme for a coupled phase field and energy equation, a modification of Stefan problem. The Stefan problem is a free boundary value problem that models the temperature in a homogeneous multiphase medium. Each phase is modeled using a heat diffusion parabolic partial...
    Resource Type:
    Masters Thesis
    Full Text:
    Master of Science in Mathematics presented on January 3, 2019. Title: Numerical Study of Convexity

  • Operator splitting methods for Maxwell's equations in dispersive media

    Creator:
    Keefer, Olivia A.
    Abstract:
    Accurate modeling and simulation of wave propagation in dispersive dielectrics such as water, human tissue and sand, among others, has a variety of applications. For example in medical imaging, electromagnetic waves are used to interrogate human tissue in a non-invasive manner to detect anomalies that could be cancerous. In non-destructive...
    Resource Type:
    Masters Thesis
    Full Text:
    like the Yee or FDTD scheme and the Crank-Nicolson scheme. Finally, results of numerical simulations