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A Method For Exact Solutions To Integrable Evolution Equations In 2+1 Dimensions
(Mathematics, 2014-09-17)
A systematic method is developed to obtain solution formulas for certain explicit solutions to integrable nonlinear partial differential equations in two spatial variables and one time variable. The method utilizes an ...
Applications Of Cubical Arrays In The Study Of Finite Semifields
(Mathematics, 2014-09-17)
It is well known that any finite semifield, S, can be viewed as an n-dimensional vector space over a finite field or prime order, Fp, and that the multiplication in S defines and can be defined by an n x n x n cubical ...
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 ...
Numerical Studies For M-Matrix Algebraic Riccati Equations
(Mathematics, 2013-10-22)
A new doubling algorithm - Alternating-Directional Doubling Algorithm (ADDA) - is developed for computing the unique minimal nonnegative solution of an M-Matrix Algebraic Riccati Equation (MARE). It is argued by both ...
Representation Theory Of Totally Reflexive Modules Over non-Gorenstein Rings
(Mathematics, 2014-09-17)
In the late 1960's Auslander and Bridger published Stable Module Theory, in whichthe idea of totally reflexive modules first appeared. These modules have been studiedby many. However, a bulk of the information known about ...
The Polynomial Chaos Method With Applications To Random Differential Equations
(Mathematics, 2013-10-22)
The role of randomness in mathematical models is of paramount importance, with emphasis placed upon the accuracy and reliability of predictions a rational approach is the use of differential equations with random parameters ...
Estimation Of Variance In Bivariate Normal Distribution After Preliminary Test Of Homogeneity
(Mathematics, 2014-09-17)
A preliminary test estimator of variance in the bivariate normal distribution is proposed after Pitman-Morgan test of homogeneity of two variances. We propose one estimator of variance after preliminary test of two tails ...
Optimal Stopping For Markov Modulated Ito-diffusion With Applications To Finance
(Mathematics, 2013-07-22)
Despite the outstanding success of the Black-Scholes model, it relies on the assumption that drift and volatility of the underlying equity remain constant throughout time. This inaccuracy has motivated a number of interesting ...
DNS Study For The Origin Of The Chaos In Late Boundary Layer Transition Over A Flat Plate
(Mathematics, 2014-03-12)
This dissertation is devoted to the investigation of the origin and mechanism of chaos ( asymmetric or disorganized flow) in late boundary layer transition over a flat plate without pressure gradient. This kind of flow not ...
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 ...