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High Order Weighted Compact Boundary Condition
(Mathematics, 2008-09-17)
In multi-dimension flows, we expect to have problems at the boundaries when a shock hits or reflects at the boundary wall the remedy to this would be to develop weighted boundary conditions similar to the Weighted Compact ...
Study Of Multiple Impacts Of A Rigid Body With A Flat Surface
(Mathematics, 2008-08-08)
Both analytical and numerical results are presented for two rigid body problems: a rod colliding with the ground, and a rigid thin plate colliding with the ground. The study of the succession of impacts of the rod with the ...
The Impact Of Vaccination And Multiple Types Of HPV On Cervical Cancer
(Mathematics, 2008-09-17)
Understanding the relationship between multiple strains of human papillomavirus and cervical cancer may play a key role in vaccination strategies for the virus. In this article we formulate a model with two strains of ...
Estimating Absolute Transcript Concentration For Microarrays Using Langmuir Adsorption Theory
(Mathematics, 2008-08-08)
This paper estimates the Langmuir parameters for probe on microarray then improves estimation of absolute transcript concentration using Langmuir adsorption model. We use the spike-in probes found on commercial microarrays, ...
Mathematical Analysis Of Allelopathy And Resource Competition Models
(Mathematics, 2008-08-08)
Mathematical population models of nutrient recycling and allelopathy are presented. The chemostat limited-resource model forms the basis for each of the models, amended with the dynamics of nutrient recycling and allelopathy. ...
Generalized Inverse Scattering Transform For The Nonlinear Schrödinger Equation
(Mathematics, 2008-08-08)
The nonlinear Schrödinger (NLS) equation describes wave propagation in optical fibers, and it is one of the most well-known nonlinear partial differential equations. In 1972 Zakharov and Shabat introduced a powerful method ...
Uniform Weighted Compact / Non-compact Schemes For Shock / Boundary Layer Interaction
(Mathematics, 2008-08-08)
The critical problem of CFD is perhaps an accurate approximation of derivatives for a given discrete data set. Based on our previous work on the weighted compact scheme (WCS), a uniform weighted compact / non-compact scheme ...
On Progenitively Koszul Commutative Rings
(Mathematics, 2008-04-22)
This paper introduces and identifies classes of progenitively Koszul rings. A progenitively Koszul ring is a commutative ring that admits a Koszul complex A=K(R) that is formal, and such that the homology algebra H(A) ...
Restricted Curvature in the Minkowski Plane
(University of Texas at Arlington, 2008)
**Please note that the full text is embargoed** ABSTRACT: A geometric proof for the following problem is given: Let E be the unit circle in a Minkowski plane. Let C be any continuously differentiable closed curve with ...
On the Computation of Weighted Shapley Values for Cooperative TU Games
(University of Texas at Arlington, 2008)
**Please note that the full text is embargoed** ABSTRACT: This paper is considering the problem of dividing fairly the worth of the grand coalition in a transferable utilities game, in case that the coalition is formed. ...