Now showing items 14-33 of 45

• #### [2012-03-23]Effects of thermal spread on the space charge limit of an electron beam ﻿

An asymptotic analysis is carried out to calculate the effects of a small thermal spread in the injection energy of an electron beam on its space charge limit. It is found that the space charge limit is lowered proportionally ...
• #### [2012-03-22]AN EFFICIENT SPECTRAL METHOD FOR ORDINARY DIFFERENTIAL EQUATIONS WITH RATIONAL FUNCTION COEFFICIENTS ﻿

We present some relations that allow the efficient approximate inversion of linear differential operators with rational function coefficients. We employ expansions in terms of a large class of orthogonal polynomial families, ...
• #### [2013-12-02]Estimating norms of commutators ﻿

\begin{abstract} We find estimates on the norm of a commutator of the form $[f(x),y]$ in terms of the norm of $[x,y]$, assuming that $x$ and $y$ are bounded linear operators on Hilbert space, with $x$ normal and with ...
• #### [2013-12-02]Estimating norms of commutators [dataset] ﻿

\begin{abstract} We find estimates on the norm of a commutator of the form $[f(x),y]$ in terms of the norm of $[x,y]$, assuming that $x$ and $y$ are bounded linear operators on Hilbert space, with $x$ normal and with ...
• #### [2012-03-20]The FALC-Loop web server for protein loop modeling ﻿

The FALC-Loop web server provides an online interface for protein loop modeling by employing an ab initio loop modeling method called FALC (fragment assembly and analytical loop closure). The server may be used to construct ...
• #### [2009-08-27]High performance damper optimization using computer simulation and design of experiments ﻿

Design of experiments has become an increasingly popular tool used by racing teams in professional motorsports. A race car has literally hundreds of adjustable parameters associated with it. Specialized racing engineers ...
• #### [2012-03-22]Invertibility of current density from near-field electromagnetic data ﻿

The problem of determining a current density confined to a volume from measurements of the magnetic and electric fields it produces exterior to that volume is known to have nonunique solutions. Despite the nonuniqueness ...
• #### [2012-03-23]Long-time behavior of Ginzburg-Landau systems far from equilibrium ﻿

Using singular-perturbation techniques, we study the stability of modulated structures generated by driving Ginzburg-Landau systems far from equilibrium. We show that, far from equilibrium, the steady-state behavior is ...
• #### [2010-02-19]Maintaining pathogens with short infectivity in seasonally structured tick populations: relative importance of three transmission pathways ﻿

Infectivity periods of different tick-borne pathogens in host species can vary widely, and the variation affects how the pathogens are maintained in tick populations. In addition to systemic and vertical transmission, ...
• #### [2009-08-27]The mathematics of the epicycloid : a historical journey with a modern perspective ﻿

The role of the epicycloid in both historical and mathematical contexts was studied through readings and research. Throughout history, circles have been considered perfect and thus very important shapes. Because epicycloids ...
• #### [2009-01-29]Modeling Arctic sea ice using the material-point method and an elastic-decohesive rheology ﻿

Sea ice has an important effect on global climate by reducing the heat transfer between the atmosphere and ocean and by reflecting incoming solar radiation. Additionally, sea ice can be an important navigational concern. ...
• #### [2012-03-23]Non relativistic Kapitza-Dirac scattering ﻿

We use techniques of singular perturbation theory to investigate the scattering of nonrelativistic charged particles by a standing light wave (Kapitza-Dirac scattering). Unlike previous treatments, we give explicit results ...
• #### [2012-08-27]Numerical and Analytical Studies of Electromagnetic Waves: Hermite Methods, Supercontinuum Generation, and Multiple Poles in the SEM ﻿

The dissertation consists of three parts: Hermite methods, scattering from a lossless sphere, and analysis of supercontinuum generation. Hermite methods are a new class of arbitrary order algorithms to solve partial ...
• #### [2013-01-30]Numerical simulation of traffic flow using a hydrodynamic model ﻿

We examine the solution to the system of partial differential equations for the transport and continuity equations. The model for our system of equations closely resembles the Payne-Whitham model for traffic flow. The ...
• #### [2011-07-01]Optimal control problems, curves of pursuit ﻿

We study a class of problems known as pursuit-evasion problems (PE). These problems can be understood as special cases of optimal control problems. After describing the two main principles to study optimal control ...
• #### [2012-03-22]Optimized preparation of quantum states by conditional measurements ﻿

We introduce a general strategy for preparation of arbitrary quantum states via optimal control of repeated conditional measurements. The effectiveness of this strategy in generating finite Fock-state superpositions with ...
• #### [2011-02-07]Orthogonality and convergence of discrete Zernike polynomials ﻿

The Zernike polynomials are an inﬁnite set of orthogonal polynomials over the unit disk, which are rotationally invariant. They are frequently utilized in optics, opthal- mology, and image recognition, among many other ...
• #### [2010-09-03]Pell's Equation and nearly equilateral triangles ﻿

In this paper, we seek a family of triangles that have integer sides and integer area. We focus mainly on scalene triangles since it is impossible to have such triangles that are equilateral and isoceles triangles with ...
• #### [2013-12-17]Principal angles and approximation for quaternionic projections [dataset] ﻿

We extend Jordan's notion of principal angles to work for two subspaces of quaternionic space, and so have a method to analyze two orthogonal projections in the matrices over the real, complex or quaternionic field (or ...
• #### [2012-03-22]PSEUDOSPECTRAL SOLUTION OF THE TWO-DIMENSIONAL NAVIER{STOKES EQUATIONS IN A DISK ﻿

An efficient and accurate algorithm for solving the two-dimensional (2D) incompressible Navier-Stokes equations on a disk with no-slip boundary conditions is described. The vorticity stream function formulation of these ...

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