Accomplishments, malfeasances, misfeasances and nonfeasances

Research Accomplishments and Objectives

This document presents my research accomplishments and objectives as of Spring 2002. The document references and lists most of my publications, so it also serves as an annotated list of publications. In addition, Section 8 discusses my teaching and describes a textbook that I have written. Most of my recent and current research focuses on discrete and computer-architecture-related issues in num...

Research Accomplishments and Interests

If autonomous systems are to realize their potential, they must improve their abilities to operate in the real world. Sensorimotor systems are among the weakest and most critical components of such systems. Perceptual systems exist to enable their owners to cope with the dynamic environments in which they operate. The system is inundated by stimuli; the successful system selects the stimuli tha...

Research Accomplishments and Plans

In my research I apply tools from model theory, a branch of mathematical logic, to study sets obtained from certain integral manifolds. (A good reference for Model Theory is [8].) This program has two central aspects: (1) I extend results that are known to be true on the ordered field of real numbers R := 〈R,+,×, <, 0, 1〉 to larger classes of real closed fields, and (2) I then use model theoret...

Accomplishments and Opportunities

Research Accomplishments

My research focuses on numerical methods for partial differential equations (PDEs) and scientific computing. I have been working on several areas including new Eulerian techniques to approximate high frequency asymptotic solutions to wave phenomena and their related inverse problems, numerical methods for interracial motions, variational and statistical methods for image processing, and Euleria...