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Filtering by: Creator McDaniel, Mina R. Remove constraint Creator: McDaniel, Mina R. Committee Member Ossiander, Mina E. Remove constraint Committee Member: Ossiander, Mina E.

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  • Large deviation principles for random measures

    Creator:
    Hwang, Dae-sik
    Abstract:
    Large deviation theory has experienced much development and interest in the last two decades. A large deviation principle is the exponential decay of the probability of increasingly rare events and the computation of a rate or entropy function which measures the rate of decay. Within the probability literature there has...
    Resource Type:
    Dissertation

  • Non-spatial and spatial models for multi-host pathogen spread in competing species : applications to barley yellow dwarf virus and rinderpest

    Creator:
    Manore, Carrie Anna
    Abstract:
    Modeling and analyzing the combined effects of disease and population dynamics is important in understanding the effects of mechanisms such as pathogen transmission and direct competition between host species on the distribution and abundance of different species in an ecological community. Mathematical analysis of such models in a spatially explicit...
    Resource Type:
    Dissertation
    Full Text:
    . S. M. Moore, C. A. Manore, V. A. Bokil, E. T. Borer, and P. R. Hosseini, Spa- tiotemporal model of

  • Mathematical treatment and simulation of methane hydrates and adsorption models

    Creator:
    Medina, Francis Patricia
    Abstract:
    In this dissertation we develop mathematical treatment for two important applications: (i) evolution of methane in coalbeds with the associated phenomena of adsorption, and (ii) formation of methane hydrates in seabed. We use simplified models for (i) and (ii) since we are more interested in qualitative properties of the solutions...
    Resource Type:
    Dissertation
    Full Text:
    nonnegative integer, possible ∞. Then Ck(Ω) = {u|u : Ω→ R, Dαu ∈ C0(Ω), 0 ≤ |α| ≤ k} and Ck0 (Ω) := C k(Ω

  • 3D cone beam reconstruction formulas for the transverse-ray transform with source points on a curve

    Creator:
    Wongsason, Patcharee
    Abstract:
    3D vector tomography has been explored and results have been achieved in the last few decades. Among these was a reconstruction formula for the solenoidal part of a vector field from its Doppler transform with sources on a curve. The Doppler transform of a vector field is the line integral...
    Resource Type:
    Dissertation
    Full Text:
    ) = − 1 8π2 ∂x ∫ S2 θR′f(θ · x, θ)dθ. (1.2) We provide two derivations to verify the formula. The first

  • Model Adaptivity and Numerical Solutions Using Sensitivity Analysis

    Creator:
    Kennedy, Kenneth M.
    Abstract:
    In this work we consider the dependence of solutions to a partial differential equations system on its data. The problem of interest is a coupled model of nonlinear flow and transport in porous media, with applications, e.g. to environmental modeling. The model of flow we consider is known as the...
    Resource Type:
    Dissertation
    Full Text:
    like to thank my committee members Dr. John Lee, Dr. Mina Ossiander, Dr. Nathan Gibson, and Dr. Lan

  • Matrix-Free Methods in Spatial-Temporal Modeling

    Creator:
    Wang, Chunxiao
    Abstract:
    Spatial-temporal data arises in many applications, for example, environment sciences and disease mapping. This dissertation focuses on Gaussian spatial-temporal data. To make statistical inference for Gaussian spatial-temporal data, we developed a special class of spatial-temporal Gaussian state-space models in which the state vectors are constructed following spatial-temporal Gaussian autoregressions that...
    Resource Type:
    Dissertation
    Full Text:
    . Sharmodeep Bhattacharyya, Dr. Gary Egbert, Dr. Debashis Mondal, Dr. Mina Ossiander and Dr. Lan Xue. Thank

  • Multiphase Flow and Transport in Porous Media with Phase Transition at Multiple Scales: Modeling, Numerical Analysis, and Simulation

    Creator:
    Shin, Choah
    Abstract:
    In this dissertation we consider two application specific flow and transport models in porous media at multiple scales: 1) methane gas transport models for hydrate formation and dissociation in the subsurface under two-phase conditions, and 2) coupled flow and biomass-nutrient model for biofilm growth in complex geometries with biofilm, and...
    Resource Type:
    Dissertation
    Full Text:
    . Mina Ossiander, and Dr. Todd Palmer for serving on my committee. The doors to Dr. Ralph Showalter, Dr