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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 ...
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 ...
From Discrete To Continuous Models Of Cell Movement: An Application To Medical Implants
(Mathematics, 2013-03-20)
Mathematical modeling of cell movement is needed to aid in the deeper understanding of vital processes such as embryogenesis, angiogenesis, tumor metastasis, and immune reactions to foreign bodies. In this work, cell ...
The Generalized Two-component Hunter-Saxton System
(Mathematics, 2013-07-22)
This thesis is concerned with the generalized two-component Hunter-Saxton system. In the periodic setting, we study the wave-breaking phenomenon and global existence for the generalized two-component Hunter-Saxton system. ...
Effects Of Discrete Time Delays And Parameters Variation On Dynamical Systems
(Mathematics, 2013-10-23)
To understand the effects of discrete time delays and of parameters variation on certain biological system models, we first consider a Delay Differential Equation model of human immunodeficiency virus (HIV). We investigate ...
Solving The Optimization Control Problem For Lunar Soft Landing Using Minimization Technique
(Mathematics, 2013-10-23)
Minimizing fuel consumption in lunar missions has been a well studied and documented optimization problem. In this paper two cases of the lunar Lander are studied. The first case is the one dimensional problem where the ...
On Primitivity And Dimension Of Finite Semifields And Their Planes
(Mathematics, 2013-03-20)
The study of semifields was originated by L.E. Dickson in 1905 and was greatly developed in the 1960s by Albert, Knuth, Walker, Kleinfeld among others. Two problems of interest in this area are the primitivity of semifields ...
Smooth Quantile Processes For Right Censored Data
(Mathematics, 2013-07-22)
The development of an estimator of a quantile function Q(p) is discussed. The smooth nonparametric estimator Qn(p) of a quantile function Q(p) is defined as the solution to Fn(Qn(p)) = p, where Fn is a smooth Kaplan-Meier ...
Numerical Integration Of Matrix Riccati Differential Equations With Solution Singularities
(Mathematics, 2013-07-22)
A matrix Riccati differential equation (MRDE) is a quadratic ODE of the form X' = A₂₁ + A₂₂X - XA₁₁ - XA₁₂X ; where X is a function of t with X : R Rnxm and the Aij's are constant or functions of t with matrix sizes ...
Mathematical Models Of Nutrient Recycling And Toxin Production In A Gradostat
(Mathematics, 2013-10-23)
We discuss several gradostat models in which a microbial population excretes a biochemical that can get recycled back into the system as a nutrient source. Each mathematical model consists of six ordinary differential ...