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Now showing items 1-8 of 8

#### A Generalized Approach To Darboux Transformations For Differential Equations

(Mathematics, 2014-07-14)

A Darboux transformation is a mathematical procedure to produce a solution to a differential equation when the solution to a related differential equation is known. The basic idea behind a Darboux transformation is to ...

#### 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 ...

#### 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 ...

#### Haplotype-based Statistical Inference For Case-control Genetic Association Studies With Complex Sampling

(Mathematics, 2014-09-17)

With the advances in human genome research, it is now believed that the risks of many complex diseases are triggered by the interplay of genetic susceptibilities and environmental exposures. The population-based case-control ...

#### 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 ...

#### 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 ...

#### 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 ...