# Numerical Analysis Group

## Overview

The Numerical Analysis Group of the University of Wisconsin-Milwaukee Department of Mathematical Sciences offers many opportunities for students to enter the important and exciting field of research in numerical analysis and scientific computing. The cornerstone of the program is the Ph.D. degree in Mathematics with specialty in Numerical Analysis (Applied Mathematics). It is also possible to receive a Ph.D. degree in Industrial Mathematics while emphasizing scientific computing. There are five graduate research faculty and one senior lecturer, with a variety of fields of expertise and scholarly activities among the faculty. The research involves numerical analysis for integral equations, partial differential equations (finite difference, finite element, domain decomposition), and optimization. The Numerical Analysis and Atmospheric Science Groups maintain six parallel machines: three Beowulf Clusters (4, 8, and 22 nodes), an SGI Origin 300 (4 processors), an SGI Origin 2000 (16 processors), and an SGI Origin 3800 (32 processors).

## Research Relationships

The Numerical Analysis Group is closely related to the Center Industrial Mathematics (CIM) and Atmospheric Science Groups, each of which is part of the Department of Mathematical Sciences. The CIM acts as a liaison between academic and corporate units, assists researchers with non-disclosure and patent issues, works to gather funding support, and sponsors conferences and workshops on industrial mathematics. The Atmospheric Science Group is distinguished with its mathematical approach within its field of discipline. Hence they create solid opportunities for interdisciplinary work for students of numerical analysis and scientific computation.

## Student Opportunities

There are opportunities for teaching assistantships, research assistantships, and fellowships in numerical analysis, scientific computing, and industrial mathematics; please inquire with the Graduate Coordinator.

The Department of Mathematical Sciences also offers an option within the Ph.D. degree with industrial emphasis; students work on dissertations solving advanced mathematical problems with industrial sources. More information may be obtained at the Web site of the Center for Industrial Mathematics (CIM).

Milwaukee is a very good location to carry out scientific computational research and industrial mathematics activities because of its excellent universities, easy access to many other universities (e.g., Chicago and Madison), as well as large variety of industry. UWM Numerical Analysis and Center for Industrial Mathematics faculty have published in areas of finite difference and finit element methods for ordinary and partial differential equations, computational aspects of bio-mathematics, computational aspects of control, numerical analysis and computational analysis for integral equations, domain decomposition for PDE, optimization, Computerized Tomography and Magnetic Resonance Imaging, Nonlinear PDE modeling and simulation (various types), statistics as well as computational statistics, and applications of artificial neural networks. UWM faculty and students have worked with industries in activities as diverse as airline scheduling, electrical power systems, engine performance modeling and simulation, finance, industrial controls, industrial printing, medical imaging (CT and MRI), paint production, refrigeration, telephone queuing systems, and travel industry data analysis.