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Now showing items 1-10 of 328

#### Model Reduction for Nanoscale Stick-Slip Friction Using Proper Orthogonal Decomposition

(2006-12-14)

Advances in computing hardware and algorithms have led to molecular dynamical models being able to model more realist cases. In this paper, we focus on a special case of molecular dynamics as a starting example. The ...

#### Generalized Volatility Model And Calculating VaR Using A New Semiparametric Model

(2005-12-05)

The first part of the dissertation concerns financial volatility models. Financial volatility has some stylized facts, such as excess kurtosis, volatility clustering and leverage effects. A good volatility model should be ...

#### An unsplit staggered mesh scheme for multidimensional magnetohydrodynamics: a staggered dissipation-control differencing algorithm.

(2006-08-01)

A new unsplit staggered mesh algorithm (USM) that solves multidimensional magnetohydrodynamics (MHD) on a staggered mesh is introduced and studied. Proper treatments of multidimensional flow problems are required for MHD ...

#### Local Rigidity of Triangle Groups in Sp(4,R)

(2009)

This paper studies configurations of Lagrangians in a four dimensional real symplectic vector space. We develop a generalized cross ratio as an invariant for quadruples of Lagrangians. This invariant is then used to study ...

#### Existence and Stability of Vortex Solutions of Certain Nonlinear Schrodinger Equations

(2004-05-04)

The nonlinear Schrodinger equation models a wide variety of different physical phenomena ranging from nonlinear optics, water waves, magnetization of ferromagnets to Bose-Einstein condensates (BEC). The structure of the ...

#### Sigma Delta Modulation and Correlation Criteria for the Construction of Finite Frames Arising in Communication Theory

(2004-04-29)

In this dissertation we first consider a problem in
analog to digital (A/D) conversion. We compute the power spectra of the error arising from an A/D conversion. We then design various higher dimensional analogs of A/D ...

#### Infinite-Dimensional Dynamical Systems and Projections

(2004-04-27)

We address three problems arising in the theory of infinite-dimensional dynamical systems. First, we study the extent to which the Hausdorff dimension and the dimension spectrum of a fractal measure supported on a compact ...

#### Performance Analysis of a Multi-Class, Preemptive Priority Call Center with Time-Varying Arrivals

(2004-06-08)

We model a call center as a an $M_{t}/M/n$, preemptive-resume priority queue with time-varying arrival rates and two priority classes of customers. The low priority customers have a dynamic priority where they become high ...

#### Asymptotic problems for stochastic processes and related differential equations

(2009)

It is well known that solutions of classical initial--boundary problems for second order parabolic equations depend continuously on the coefficients if the coefficients converge to their limits in a strong enough topology.
...

#### Analysis and Extension of Non-Commutative NTRU

(2007-08-06)

We discuss the ring based public-key cryptosystem known as non-commutative NTRU. The original system is defined over the group ring R = Z[D_N] (where D_N is the dihedral group of order 2N) and uses a commutative subring ...