Math 621 - Numerical Analysis II

Numerical Methods for Partial Differential Equations

Spring 2001 - Matthias K. Gobbert

Syllabus

This syllabus is designed to give you an overview of the material to be covered and is tentative in nature.
Lecture Date Main Topic
1 Tu 01/30 Overview, basic types of differential equations and applications
2 Th 02/01 Numerical methods for o.d.e.'s: methods, accuracy and stability
3 Tu 02/06 Review of numerical differentiation and integration
4 Th 02/08 Classification of partial differential equations
5 Tu 02/13 Theoretical properties of partial differential equations
6 Th 02/15 Poisson equation: finite differences, solution of linear systems
7 Tu 02/20 Review of direct and iterative methods for systems of equations
8 Th 02/22 Poisson equation: finite elements
9 Tu 02/27 Heat equation: applications and properties, finite differences
10 Th 03/01 Heat equation: method of lines, finite elements
11 Tu 03/06 Numerical methods for the transport equation, Burgers' equation
12 Th 03/08 Review
13 Tu 03/13 Midterm exam
14 Th 03/15 Final project
Tu 03/20 Spring Break
Th 03/22 Spring Break
15 Th 05/03 Project presentations
16 Tu 05/08 Project presentations
17 Th 05/10 Project presentations
18 Tu 05/15 Review

Copyright © 2000-2001 by Matthias K. Gobbert. All Rights Reserved.
This page version 1.2, April 2001.