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  • Branching Brownian Motion with One Absorbing and One Reflecting Boundary

    Creator:
    Felder, William F.
    Abstract:
    In this work we will analyze branching Brownian motion on a finite interval with oneabsorbing and one reflecting boundary, having constant drift rate toward the absorbingboundary. Similar processes have been considered by Kesten ([12]), and more recently byHarris, Hesse, and Kyprianou ([11]). The current offering is motivated largely by the...
    Resource Type:
    Dissertation
    Full Text:
    AN ABSTRACT OF THE DISSERTATION OF William F. Felder for the

  • 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

  • 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

  • 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

  • Stochastic analysis of flow and transport in porous media

    Creator:
    Vasylkivska, Veronika S.
    Abstract:
    Random fields are frequently used in computational simulations of real-life processes. In particular, in this work they are used in modeling of flow and transport in porous media. Porous media as they arise in geological formations are intrinsically deterministic but there is significant uncertainty involved in determination of their properties...
    Resource Type:
    Dissertation
    Full Text:
    . Showalter, Dr. Nathan L. Gibson and Dr. Margaret L. Niess for agreeing to serve on my graduate committee

  • An assessment of a mesh-based method for slab-geometry transport in stochastic materials

    Creator:
    Bassett, Brody R.
    Abstract:
    There exists a variety of methods to solve the radiation transport equation in stochastic materials, including the Levermore-Pomraning method and the atomic mix method, each of which is designed to replicate the results given by benchmarks with materials rearranged in a randomized fashion. While the atomic mix method is very...
    Resource Type:
    Masters Thesis

  • Coastal Soil and Structure Behavior during Earthquake-Tsunami Multi-Hazards

    Creator:
    Qiu, Yingqing
    Abstract:
    Coastal multi-hazards, i.e., earthquakes followed by tsunamis, induce severe damage to coastal infrastructure. The multi-hazards can cause soil liquefaction, which is one of the major concerns for evaluating sediments transport potential and structure failure mechanisms. The objectives for this work is threefold. First, to build and validate a soil numerical...
    Resource Type:
    Dissertation
    Full Text:
    foundations of my PhD dissertation. Professor Nathan L. Gibson and Professor Vrushali A. Bokil, they opened

  • Multiscale Methods and Energy Stable Discretizations for Maxwell’s Equations in Linearand Nonlinear Materials

    Creator:
    Sakkaplangkul, Puttha
    Abstract:
    In this dissertation, we introduce a family of fully discrete finite difference time-domain (FDTD) methods for Maxwell’s equations in linear and nonlinear materials. Onecategory of methods is constructed using multiscale techniques involving operator splittings. We present the sequential splitting scheme, the Strang Marchuk splitting scheme,the weighted sequential splitting scheme including...
    Resource Type:
    Dissertation
    Full Text:
    , none of this would be possible. Many thanks to my committee members: to Dr. Nathan L. Gibson for

  • Power system reliability and power quality assessments with grid-connected wave energy converters

    Creator:
    Boller, Michael D.
    Abstract:
    Generating abundant, renewable energy from Earth’s oceans is an attractive option for meeting increasing energy demand. Marine renewable energy also comes with the variability of renewable sources, which impact the reliability and power quality of the electrical grid. On a transmission-level, this dissertation looks at ensuring reliability of the power...
    Resource Type:
    Dissertation
    Full Text:
    committee, Dr. Bryony DuPont, Dr. Yue Cao and Dr. Nathan Gibson, thank you for providing me with advice on

  • Performance of hybrid methods for representative nonproliferationproblems

    Creator:
    Bevill, Aaron M.
    Abstract:
    Adjoint-derived weight windowing is a hybrid deterministic/Monte Carlo method to simulate radiation transport. In adjoint-derived weight windowing, a deterministic adjoint solution is used to create weight windows for a Monte Carlo simulation. The intent of this work is to identify factors that reduce the Figure of Merit (FOM) of Monte...
    Resource Type:
    Masters Thesis
    Full Text:
    Drs. Nathan Gibson, Todd Palmer, Brian Woods, Sourabh Apte, Guenter Schneider, and Alexey Soldatov at