## Fall 2012

Math 375Math 579

The course will consist of lectures and a guided, individual, computing project. The Lecture topics are given below. During the first part of the course, weekly homework sets will focus on fundamentals of numerical analysis, and the development of algorithms and programs that will be useful for the latter part of the course. In the second part of the class, students will develop two programs, one to compute incompressible flow in a two-dimensional geometry and one to compute one-dimensional compressible flow with shocks. Topics for the individual projects will be chosen in consultation with the instructor. Projects related to dissertation research are strongly encouraged, but it should be kept in mind that they must be completed within the time span of the course. Typically the project will involve the numerical solution of a particular flow pheonmena (or flow in a particular geometry), a detailed analysis of the chosen method, and error analysis of computed results.

The course is intended for mathematicians, engineers, physicists and computer scientists.