MATH5345 Main Page, Fall 2005

Instructor: Long Lee
Textbook: Finite Volume Methods for Hyperbolic Problems by R.J. LeVeque, 
Cambridge Texts in Applied Mathematics.
Classroom: RH 308
Time:  MWF 1:10-2:00pm
Office: RH 212
Phone: 307-766-4368
Email: llee@uwyo.edu
Office hour: MWF 2:10-3:10pm and by appointment Sylllabus

Prerequisites: Computational Methods I, II.

Objectives: In this course, we will explore the mathematics of hyperbolic problems and how it is used to develop numerical methods for solving them. We will study finite-volume methods, such as Godunov method and high-resolution extensions. We will study linear problems in details. The linear theory is simpler and is fundamental to understanding the nonlinear theory. Then we will turn to nonlinear hyperbolic conservation laws which admit shock wave solution, and a variety of new mathematical and computational difficulties.

Topics : We cover topics such as linear systems and the numerical solution of differential equations, in particular, numerical solutions to hyperbolic systems of partial differential equations arising from modeling phenomena involving wave propagation or advective flow.
A few examples for the applications of such systems include:

Programing: Programming is part of the course; each student will be expected to learn Matlab or Fortran and use it on some of the homework assignments. Online tutorials are listed as follows:

Basic concepts:

Advanced usages:

Homework: Homework and/or programming projects will be given approximately bio-weekly and posted on the course website. Collaboration on homework is allowed and encouraged but copying from another person is prohibited.

Final grade: Based on homework and projects.

Oct. 1, 12:00:00 2005