The first part of the thesis presents the surface respresentation of blood vessel walls extracted from medical images, sensitivity to the inlet/outlet boundary conditions, and …
This thesis is a mathematical and statistical study of conditional modeling and conditional inference. Two applications are covered: (1) Stock Prices and the Statistics of …
This dissertation focuses on the analysis and computation of a certain high order accurate numerical scheme which is used to solve problems in computational Cosmology. …
This thesis presents results aiming to enhance and broaden the applicability of the discontinuous Galerkin (''DG'') method in a variety of ways. DG was chosen …
Glaciers have been melting and reforming on the Earth for millions of years. Over the last several decades, Geologists have created δ18O proxy records that …
This work presents multiscale modeling of blood flow and polymer suspensions which requires the use of heterogeneous modeling approaches. A hybrid method based on coupling …
Hidden Markov models are used in countless signal processing problems, and the associated nonlinear filtering algorithms are used to obtain posterior distributions for the hidden …
This work presents the new single particle dissipative particle dynamics (DPD) model for flows around bluff bodies that are represented by single DPD particles. This …
We develop a high-order nonlinear energy method to study the stability of steady states of the Stefan problem with surface tension. There are two prominent …
This thesis considers two-dimensional stratified water waves propagating under the force of gravity over an impermeable flat bed and with a free surface. In the …