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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 ...
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 ...
A New Method For Non-rigid Registration Of 3d Images
(Mathematics, 2009-09-16)
In this dissertation we present a novel method for the nonrigid registration of 3D images using a well-established mathematical framework mostly known as the deformation based grid generation method. The deformation based ...
A Globally Convergent Numerical Method For Coefficient Inverse Problems
(Mathematics, 2009-09-16)
In our terminology "globally convergent numerical method" means a numerical method, whose convergence to a good approximation for the correct solution is independent of the initial approximation. A new numerical imaging ...
Testing The Equality Of Regression Coefficients And A Pooling Methodology From Multiple Samples When The Data Is Multicollinear
(Mathematics, 2009-09-16)
Testing the equality of regression coefficients between two regression equations is a common practice in statistics today. The theory and methods are sufficiently developed under ordinary least squares (OLS) estimation. ...
A Study On The B Family Of Shallow Water Wave Equations
(Mathematics, 2009-09-16)
In this dissertation we study b family of shallow water wave equations which include classical Korteweg-de Vries, Camassa-Holm and Degasperis-Procesi equations. We first establish the models of the Camassa-Holm and ...
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 ...
Study Of Multiple Impacts Of A Rigid Body With A Flat Surface
(Mathematics, 2008-08-08)
Both analytical and numerical results are presented for two rigid body problems: a rod colliding with the ground, and a rigid thin plate colliding with the ground. The study of the succession of impacts of the rod with the ...
Qualitative Behavior Of Dynamical Vector Fields
(Mathematics, 2007-09-17)
Differential Equations come in two classes, deterministic and stochastic. The first part of this analysis establishes the stable properties of the set of all trajectories converging on a critical point in the real plane ...
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 ...