Browsing PhD Dissertations - DO NOT EDIT by Title
Now showing items 46-65 of 154
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Haplotype-based Statistical Inference For Case-control Genetic Association Studies With Complex Sampling
(Mathematics, 2014-09-17)With the advances in human genome research, it is now believed that the risks of many complex diseases are triggered by the interplay of genetic susceptibilities and environmental exposures. The population-based case-control ... -
High Order Compact Scheme For Discontinuous Differential Equations
(Mathematics, 2011-07-14)A high order implicit second derivative compact method is given which is similar the Adams-Moulton method, but requiring only two steps for sixth order. This method is used in both predictor-corrector and Newton's method ... -
High Order DNS For Late Flow Transition
(Mathematics, 2012-07-25)In this report, a new high order scheme for boundary points is introduced when calculating the derivative of smooth functions by Compact Scheme. The primitive function reconstruction method of ENO schemes is applied to ... -
HIGH ORDER DNS FOR VORTEX STRUCTURE IN LATE FLOW TRANSITION
(2017-08-02)Turbulence is still a world puzzle after over one hundred years research, and the current and classical theories brim with self-contradictions. C. Liu proposed a new theory on turbulence generation and structure after 28 ... -
High Order LES For Supersonic Ramp Flow Control With MVG
(Mathematics, 2012-07-25)An implicitly implemented large eddy simulation by using the fifth order bandwidth-optimized WENO scheme is applied to make comprehensive studies on ramp flows with and without control at Mach 2.5 and Re=5760. Flow control ... -
High Order Numerical Schemes For PDEs And Applications To CFD
(Mathematics, 2014-03-12)In the past two decades, many efforts have been made in developing high-order schemes with high resolution, such as compact scheme, essentially non-oscillatory scheme (ENO), weighted essentially non-oscillatory scheme ... -
High-order Numerical Schemes For High-speed Flows
(Mathematics, 2009-09-16)A numerical scheme with high order of accuracy is necessary to resolve small length scales in flow transition and turbulence processes. However, numerical simulation for shock-boundary layer interaction, shock-acoustic ... -
HIGHER-ORDER NONSTANDARD FINITE DIFFERENCE METHODS FOR AUTONOMOUS DIFFERENTIAL EQUATIONS WITH APPLICATIONS IN MATHEMATICAL ECOLOGY
(2022-08-08)Nonstandard finite difference (NSFD) methods have been widely used to numerically solve various problems in biology. In recent years, NSFD methods have been proposed that preserve essential properties of the solutions of ... -
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 ...