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Have You Heard About Qubes?, Carrie Diaz Eaton 2017 Unity College

Have You Heard About Qubes?, Carrie Diaz Eaton

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


Control Of Swimmer's Itch, Daniel Bonneville 2017 Illinois State University

Control Of Swimmer's Itch, Daniel Bonneville

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


Modeling Voting Dynamics In A Two-Party System: Social Interaction And Media Consumption, Caleb Ignace 2017 Illinois State University

Modeling Voting Dynamics In A Two-Party System: Social Interaction And Media Consumption, Caleb Ignace

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


Connecting Parasite-Infected Crab Data To Shorebird Mortality During El Niño Seasons, Emily McClung 2017 Illinois State University

Connecting Parasite-Infected Crab Data To Shorebird Mortality During El Niño Seasons, Emily Mcclung

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


A Stochastic Epidemiological Model Of The Response Of American Chestnut Populations To Fungal Blight, Kelsey Lieberman, Rebecca Rouleau, Anita Davelos Baines, Martin Allen 2017 Truman State University

A Stochastic Epidemiological Model Of The Response Of American Chestnut Populations To Fungal Blight, Kelsey Lieberman, Rebecca Rouleau, Anita Davelos Baines, Martin Allen

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


Mathematical Medicine: Modeling Disease And Treatment, Lisette dePillis 2017 Illinois State University

Mathematical Medicine: Modeling Disease And Treatment, Lisette Depillis

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


Circles, Gabriel Leiner 2017 University of Southern California

Circles, Gabriel Leiner

Gabriel Leiner

Original research of mine on motion that has been robustly modernized using the premise of increased functionality of a system that runs on a connected pattern such as a loop, circle, or any other shape with a common start and end point. Some really interesting ideas are coded using nodes, random number generators, and simulations. In reality these ideas have many applications, though specifically this research models vehicle travel, and references some cities that mimic some of these ideas.


Data Predictive Control Using Regression Trees And Ensemble Learning, Achin Jain, Francesco Smarra, Rahul Mangharam 2017 University of Pennsylvania

Data Predictive Control Using Regression Trees And Ensemble Learning, Achin Jain, Francesco Smarra, Rahul Mangharam

Real-Time and Embedded Systems Lab (mLAB)

Decisions on how to best operate large complex plants such as natural gas processing, oil refineries, and energy efficient buildings are becoming ever so complex that model-based predictive control (MPC) algorithms must play an important role. However, a key factor prohibiting the widespread adoption of MPC, is the cost, time, and effort associated with learning first-principles dynamical models of the underlying physical system. An alternative approach is to employ learning algorithms to build black-box models which rely only on real-time data from the sensors. Machine learning is widely used for regression and classification, but thus far data-driven models have not ...


Modelling Walleye Population And Its Cannibalism Effect, Quan Zhou 2017 The University of Western Ontario

Modelling Walleye Population And Its Cannibalism Effect, Quan Zhou

Electronic Thesis and Dissertation Repository

Walleye is a very common recreational fish in Canada with a strong cannibalism tendency, such that walleyes with larger sizes will consume their smaller counterparts when food sources are limited or a surplus of adults is present. Cannibalism may be a factor promoting population oscillation. As fish reach a certain age or biological stage (i.e. biological maturity), the number of fish achieving that stage is known as fish recruitment. The objective of this thesis is to model the walleye population with its recruitment and cannibalism effect. A matrix population model has been introduced to characterize the walleye population into ...


Low-Communication, Parallel Multigrid Algorithms For Elliptic Partial Differential Equations, Wayne Mitchell 2017 University of Colorado, Boulder

Low-Communication, Parallel Multigrid Algorithms For Elliptic Partial Differential Equations, Wayne Mitchell

Applied Mathematics Graduate Theses & Dissertations

When solving elliptic partial differential equations (PDE's) multigrid algorithms often provide optimal solvers and preconditioners capable of providing solutions with O(N) computational cost, where N is the number of unknowns. As parallelism of modern super computers continues to grow towards exascale, however, the cost of communication has overshadowed the cost of computation as the next major bottleneck for multigrid algorithms. Typically, multigrid algorithms require O((log P)^2) communication steps in order to solve a PDE problem to the level of discretization accuracy, where P is the number of processors. This has inspired the development of new algorithms ...


Designing A Finite-Time Mixer: Optimizing Stirring For Two-Dimensional Maps, James Meiss, Rebecca Mitchell 2017 University of Colorado Boulder

Designing A Finite-Time Mixer: Optimizing Stirring For Two-Dimensional Maps, James Meiss, Rebecca Mitchell

Applied Mathematics Faculty Contributions

Mixing of a passive scalar in a fluid flow results from a two part process in which large gradients are first created by advection and then smoothed by diffusion. We investigate methods of designing efficient stirrers to optimize mixing of a passive scalar in a two-dimensional, nonautonomous, incom- pressible flow over a finite-time interval. The flow is modeled by a sequence of area-preserving maps whose parameters change in time, defining a mixing protocol. Stirring efficiency is measured by a negative Sobolev seminorm; its decrease implies creation of fine-scale structure. A Perron–Frobenius operator is used to numerically advect the scalar ...


Information Theoretic Study Of Gaussian Graphical Models And Their Applications, Ali Moharrer 2017 Louisiana State University and Agricultural and Mechanical College

Information Theoretic Study Of Gaussian Graphical Models And Their Applications, Ali Moharrer

LSU Doctoral Dissertations

In many problems we are dealing with characterizing a behavior of a complex stochastic system or its response to a set of particular inputs. Such problems span over several topics such as machine learning, complex networks, e.g., social or communication networks; biology, etc. Probabilistic graphical models (PGMs) are powerful tools that offer a compact modeling of complex systems. They are designed to capture the random behavior, i.e., the joint distribution of the system to the best possible accuracy. Our goal is to study certain algebraic and topological properties of a special class of graphical models, known as Gaussian ...


Simulation Of Driven Elastic Spheres In A Newtonian Fluid, Shikhar M. Dwivedi 2017 The University of Western ontario

Simulation Of Driven Elastic Spheres In A Newtonian Fluid, Shikhar M. Dwivedi

Electronic Thesis and Dissertation Repository

Simulations help us test various restrictions/assumptions placed on physical systems that would otherwise be difficult to efficiently explore experimentally. For example, the Scallop Theorem, first stated in 1977, places limitations on the propulsion mechanisms available to microscopic objects in fluids. In particular, the theorem states that when the viscous forces in a fluid dominate the inertial forces associated with a physical body, such a physical body cannot generate propulsion by means of reciprocal motion. The focus of this thesis is to firstly, explore an adaptive Multiple-timestep(MTS) scheme for faster molecular dynamics(MD) simulations, and secondly, use hybrid MD-LBM ...


On The Ramberg-Osgood Stress-Strain Model And Large Deformations Of Cantilever Beams, Ronald J. Giardina Jr 2017 University of New Orleans

On The Ramberg-Osgood Stress-Strain Model And Large Deformations Of Cantilever Beams, Ronald J. Giardina Jr

University of New Orleans Theses and Dissertations

In this thesis the Ramberg-Osgood nonlinear model for describing the behavior of many different materials is investigated. A brief overview of the model as it is currently used in the literature is undertaken and several misunderstandings and possible pitfalls in its application is pointed out, especially as it pertains to more recent approaches to finding solutions involving the model. There is an investigation of the displacement of a cantilever beam under a combined loading consisting of a distributed load across the entire length of the beam and a point load at its end and new solutions to this problem are ...


On Honey Bee Colony Dynamics And Disease Transmission, Matthew I. Betti 2017 The University of Western Ontario

On Honey Bee Colony Dynamics And Disease Transmission, Matthew I. Betti

Electronic Thesis and Dissertation Repository

The work herein falls under the umbrella of mathematical modeling of disease transmission. The majority of this document focuses on the extent to which infection undermines the strength of a honey bee colony. These studies extend from simple mass-action ordinary differential equations models, to continuous age-structured partial differential equation models and finally a detailed agent-based model which accounts for vector transmission of infection between bees as well as a host of other influences and stressors on honey bee colony dynamics. These models offer a series of predictions relevant to the fate of honey bee colonies in the presence of disease ...


Thermodynamics Of Coherent Structures Near Phase Transitions, Julia M. Meyer, Ivan Christov 2017 Purdue University

Thermodynamics Of Coherent Structures Near Phase Transitions, Julia M. Meyer, Ivan Christov

The Summer Undergraduate Research Fellowship (SURF) Symposium

Phase transitions within large-scale systems may be modeled by nonlinear stochastic partial differential equations in which system dynamics are captured by appropriate potentials. Coherent structures in these systems evolve randomly through time; thus, statistical behavior of these fields is of greater interest than particular system realizations. The ability to simulate and predict phase transition behavior has many applications, from material behaviors (e.g., crystallographic phase transformations and coherent movement of granular materials) to traffic congestion. Past research focused on deriving solutions to the system probability density function (PDF), which is the ground-state wave function squared. Until recently, the extent to ...


Euler-Richardson Method Preconditioned By Weakly Stochastic Matrix Algebras: A Potential Contribution To Pagerank Computation, Stefano Cipolla, Carmine Di Fiore, Francesco Tudisco 2017 University of Rome Tor Vergata

Euler-Richardson Method Preconditioned By Weakly Stochastic Matrix Algebras: A Potential Contribution To Pagerank Computation, Stefano Cipolla, Carmine Di Fiore, Francesco Tudisco

Electronic Journal of Linear Algebra

Let S be a column stochastic matrix with at least one full row. Then S describes a Pagerank-like random walk since the computation of the Perron vector x of S can be tackled by solving a suitable M-matrix linear system Mx = y, where M = I − τ A, A is a column stochastic matrix and τ is a positive coefficient smaller than one. The Pagerank centrality index on graphs is a relevant example where these two formulations appear. Previous investigations have shown that the Euler- Richardson (ER) method can be considered in order to approach the Pagerank computation problem by means ...


On The Parallelization Of Network Diffusion Models, Patrick Rhomberg 2017 University of Iowa

On The Parallelization Of Network Diffusion Models, Patrick Rhomberg

Theses and Dissertations

In this thesis, we investigate methods by which discrete event network diffusion simulators may execute without the restriction of lockstep or near lockstep synchronicity. We develop a discrete event simulator that allows free clock drift between threads, develop a differential equations model to approximate communication cost of such a simulator, and propose an algorithm by which we leverage information gathered in the natural course of simulation to redistribute agents to parallel threads such that the burden of communication is lowered during future replicates.


A Moving-Window Penalization Method And Its Applications, Minli Bao 2017 University of Iowa

A Moving-Window Penalization Method And Its Applications, Minli Bao

Theses and Dissertations

Genome-wide association studies (GWAS) has played an import role in identifying genetic variants underlying human complex traits. However, its success is hindered by weak effect at causal variants and noise at non-causal variants. Penalized regression can be applied to handle GWAS problems. GWAS data has some specificities. Consecutive genetic markers are usually highly correlated due to linkage disequilibrium.

This thesis introduces a moving-window penalized method for GWAS which smooths the effects of consecutive SNPs. Simulation studies indicate that this penalized moving window method provides improved true positive findings. The practical utility of the proposed method is demonstrated by applying it ...


Regularized Solutions For Terminal Problems Of Parabolic Equations., Sujeewa Indika Hapuarachchi 2017 University of Louisville

Regularized Solutions For Terminal Problems Of Parabolic Equations., Sujeewa Indika Hapuarachchi

Electronic Theses and Dissertations

The heat equation with a terminal condition problem is not well-posed in the sense of Hadamard so regularization is needed. In general, partial differential equations (PDE) with terminal conditions are those in which the solution depends uniquely but not continuously on the given condition. In this dissertation, we explore how to find an approximation problem for a nonlinear heat equation which is well-posed. By using a small parameter, we construct an approximation problem and use a modified quasi-boundary value method to regularize a time dependent thermal conductivity heat equation and a quasi-boundary value method to regularize a space dependent thermal ...


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