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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 ...
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 ...
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 ...
Optimal Control Approach To Image Registration
(Mathematics, 2010-03-03)
The purpose of this dissertation is twofold: To present a new method of orthogonal grid generation and to investigate certain theoretical aspects of the optimal control approach to the image registration problem.In the ...
Adaptive Nonparametric Distribution-free Procedures In Factorial Data Analysis
(Mathematics, 2010-03-03)
Many statisticians have questioned the basic assumptions about underlying models which might dominate the analysis of the data in many cases. The assumption of normality without much thought is of concern to a growing group ...
A Study On The Two Component Periodic Shallow Water Systems
(Mathematics, 2012-07-25)
In this dissertation we study the generalized periodic two-component Camassa-Holm system and the generalized periodic two-component Dullin-Gottwald-Holm system, which can be derived from the Euler equation with nonzero ...
New Results In Finite Geometries Pertaining To Albert-like Semifields
(Mathematics, 2012-07-25)
One of the most widely studied class of semifields are the generalized twisted fields defined by Albert in the 50s and 60s. The collineation groups of generalized twisted field planes have been completely described. In a ...
Point Modules Over Regular Graded Skew Clifford Algebras
(Mathematics, 2013-07-22)
In this thesis, I consider point modules over regular graded skew Clifford algebras.First, I define a notion of rank (called μ-rank) on noncommutative quadratic forms. To every (commutative) quadratic form is associated a ...
Nonlinear Dynamics And Stochasticity Of Core Genetic Regulation
(Mathematics, 2012-07-25)
"Bacillus subtilis" is one of the very well-studied organisms in biology. Recent results show that an alternative competence regulation circuit for this bacterium, differing only in the order of the composite negative ...
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 ...