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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 ...
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 ...
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 ...
Applications And Adaptations Of A Globally Convergent Numerical Method In Inverse Problems
(Mathematics, 2013-07-22)
In our terminology "globally convergent numerical method" means a numerical method whose convergence to a good approximation of the correct solution is independent of the initial approximation in inverse problems. A numerical ...
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 ...
Some Problems Of Integral Geometry In Advanced Imaging
(Mathematics, 2011-07-14)
During the past decade, our society has become dependent on advanced mathematics for many of our daily needs. Mathematics is at the heart of the 21st century technologies and more specifically the emerging imaging technologies ...