Now showing items 1-10 of 594
Model Reduction for Nanoscale Stick-Slip Friction Using Proper Orthogonal Decomposition
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 ...
Convenient total variation diminishing conditions for nonlinear difference schemes
(Copyright: Society for Industrial and Applied Mathematics, 1988-10)
Scheme-independent stability criteria for difference approximations of hyperbolic initial-boundary value problems. II
(American Mathematical Society, 1981-04)
Stability analysis of finite-difference, pseudospectral and Fourier-Galerkin approximations for time-dependent problems
(Copyright: Society for Industrial and Applied Mathematics, 1987-12)
Stability analysis of spectral methods for hyperbolic initial-boundary value systems
(Copyright: Society for Industrial and Applied Mathematics, 1987-04)
Generalized Volatility Model And Calculating VaR Using A New Semiparametric Model
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.
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)
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 ...
MODELING MEDIAN HOUSEHOLD INCOME DISTRIBUTION
In this thesis we are going to use U.S. Census data to study median household income distribution for 13 U.S. counties and seven U.S. states. Over the years, researchers have fitted income data with various probability ...
The numerical viscosity of entropy stable schemes for systems of conservation laws. I.
(American Mathematical Society, 1987-07)