Browsing PhD Dissertations - DO NOT EDIT by Title
Now showing items 54-73 of 154
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Image Analysis Based on Differential Operators with Applications to Brain MRIs
(2019-07-25)In differential geometry, computational diffeomorphism (smooth and invertible mapping) has become a fast-growing field in developing the theoretical frameworks and computational toolboxes for the tasks such as computer ... -
Image Reconstruction from Incomplete Radon Data and Generalized Principal Component Analysis
(2017-08-11)Image reconstruction in various types of tomography requires inversion of the Radon transform and its generalizations. While there are many stable and robust algorithms for such inversions from reasonably well sampled data, ... -
Impact of domestic animals on prevalence of vector-borne diseases in humans
(2020-06-05)Vector-borne infectious diseases are one of the leading problems for public health worldwide, particularly in underdeveloped and developing countries. These diseases infect humans through the bite of infected vectors. The ... -
The Influence Of Dynamic Visualization On Undergraduate Calculus Learning
The urgent need in the United States to produce an additional one million graduates in the areas of science, technology, engineering and mathematics and previous research into why students choose to abandon their quest to ... -
INVERSE PROBLEMS AND FORWARD PROPAGATION OF OPTICAL FLOW
(2020-08-24)Optical flow is a concept originally introduced in computer vision that quantifies, and aids in the presentation of, motion (flow field) between two or more images. In essence, it is a solution of an inverse problem ... -
Large Deviation Principle For Functional Limit Theorems
(Mathematics, 2009-09-16)We study a family of stochastic additive functionals of Markov processes with locally independent increments switched by jump Markov processes in an asymptotic split phase space. Based on an averaging limit theorem, we ... -
Large Eddy Simulation by using Wang’s Liutex-based subgrid model
(2023-08-09)Turbulent flows and vortex structures in fluid dynamics have been captivating researchers for decades, owing to their intrinsic complexity and significance in various industrial and natural processes. Despite their fundamental ... -
The Least-squares Finite Element Method For Grid Deformation And Meshfree Applications
(Mathematics, 2007-08-23)Grid adaptation is often needed to improve the numerical solution of a Partial Differential Equation (PDE), due to, for example, shock waves and boundary layers. In moving boundary problems, the grid needs to be regenerated ... -
LES For Wing Tip Vortex Around An Airfoil
(Mathematics, 2007-08-23)The wing tip vortex is very important because of its effects on the noise generation, blade/vortex interactions on helicopter blades, propeller cavitations on ships, and other fields. The objective of this work is to use ... -
Likelihood Inference for Flexible Cure Models with Interval Censored Data
(2023-05-19)Models for survival data with a surviving fraction, known as cure rate models, play a vital role in survival analysis. Due to the improvement of intervening methodologies, some subjects are seen to be immune permanently. ... -
Likelihood Inference for Flexible Cure Rate Models in the Context of Infectious Diseases with Multiple Exposures
(2020-09-01)Cure rate models are mostly used to study data arising from cancer clinical trials. Its use in the context of infectious diseases has not been explored well. In 2007, Tournoud and Ecochard rst proposed a mechanistic ... -
LIUTEX ANALYSIS BY POD AND DMD FOR VORTEX FORMATIONS IN BOUNDARY LAYER TRANSITION
(2019-12-05)Vortices are considered as the building blocks of turbulent flows. To study how one type of vortex becomes another type especially in flow transition is one way to get better understanding about turbulence. In this ... -
LIUTEX ANALYSIS BY POD AND DMD IN TURBULENT FLOW AFTER/ IN MICRO VORTEX GENERATOR
(2021-12-06)Although vortex has been studied more than one hundred year, we still have not had universally accepted definition. A few well-known vortex identification methods are introduced 𝑄,∆, 𝜆2,𝜆𝑐𝑖 criteria to identify coherent ... -
LIUTEX AND STATISTICAL ANALYSIS FOR FLUID TRANSITION
(2021-08)A vortex can be intuitively recognized as the rotational swirling motion of the fluids. The fascination of this phenomenon brought about many years of research to define, classify, and identify the vortical structure. ... -
LIUTEX-BASED VORTEX IDENTIFICATION METHODS AND THEIR APPLICATION IN DNS STUDY OF FLAT PLATE BOUNDARY LAYER TRANSITION
(2021-07-26)Vortices are intuitively known as the rotational motion of fluid particles, however, unambiguous and universally accepted methods of vortex definition and identification are not available to date in the literature. ... -
Logistic Regression With Misclassified Covariates Using Auxiliary Data
(Mathematics, 2009-09-16)When standard regression methods are used, measurement errors cause a bias in parameters estimation. In dealing with discrete covariates, such measurement errors are known as misclassification and the corresponding discrete ... -
Mathematical Analysis Of Allelopathy And Resource Competition Models
(Mathematics, 2008-08-08)Mathematical population models of nutrient recycling and allelopathy are presented. The chemostat limited-resource model forms the basis for each of the models, amended with the dynamics of nutrient recycling and allelopathy. ... -
MATHEMATICAL APPROACH OF LIUTEX CORE LINE AND LIUTEX CORE TUBE FOR VORTEX STRUCTURE VISUALIZATION
(2021-06-10)During the past decades, many vortex identification methods have been published to present a clear definition and identification of the vortex. However, all these methods are failed to offer a unique identification method, ... -
MATHEMATICAL METHODS FOR VORTEX IDENTIFICATION WITH APPLICATION ON SHOCK WAVE VORTEX RING INTERACTION
(2017-06-08)Vortices are seen everywhere in nature, from smoke rings to tornadoes. Vortical structures play an essential role in the turbulence dynamics such as turbulence generation, kinetic energy production and dissipation, enhancement ... -
Mathematical Modeling of a Network of Neurons Regarding Glucose Transport Deficiency Induced Epileptic Seizures
(2019-11-21)Epilepsy is a complex phenomena of a system of neurons simultaneously firing that are highly intensive and synchronized. Seizures are a common and well known physical feature for all types of epileptic disorders [8]. ...