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Qualitative Behavior Of Dynamical Vector Fields
(Mathematics, 2007-09-17)
Differential Equations come in two classes, deterministic and stochastic. The first part of this analysis establishes the stable properties of the set of all trajectories converging on a critical point in the real plane ...
LES For Wing Tip Vortex Around An Airfoil
(Mathematics, 2007-08-23)
The wing tip vortex is very important because of its effects on the noise generation, blade/vortex interactions on helicopter blades, propeller cavitations on ships, and other fields. The objective of this work is to use ...
New Developments Of The Deformation Method
(Mathematics, 2007-08-23)
New developments of deformation method for grid generation are presented in this work. Theorems for three different cases and different methods for implementing deformation method are presented. One of the new developments ...
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 ...
Direct Numerical Simulation For Flow Transition Over A Flat Plate
(Mathematics, 2007-08-23)
In this paper, direct numerical simulation (DNS) of flow transition over a flat plate at a free stream Mach number of 0.5 and a Reynolds number of 1000 based on the free stream velocity and inflow displacement thickness ...
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, ...
The Least-squares Finite Element Method For Grid Deformation And Meshfree Applications
(Mathematics, 2007-08-23)
Grid adaptation is often needed to improve the numerical solution of a Partial Differential Equation (PDE), due to, for example, shock waves and boundary layers. In moving boundary problems, the grid needs to be regenerated ...
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 ...
Analysis And Simulation In Neuron And Fibrosis Models
(Mathematics, 2009-09-16)
In this work, we use analysis and numerical simulations to study the change of collective behaviorof two synaptically coupled square bursting systems, the effect of noise inan elliptic bursting system and foreign body ...