Math 574 Syllabus (992)

Part I

Department of Mathematical Sciences

Title: Numerical Methods for Partial Differential Equations

Prerequisite: Math 321 or Math471 or Math 573

Math301 or Math513

Or SE 301

Textbooks: 1)Lapidus and Pinder. Numerical Solution of Partial Differential Equations. John

Wiley & Sons, 1982

2)Reddy, J. N. An Introduction to the Finite Element Method, McGraw-Hill Book

Company, 1984.

Course: A basic first course in the numerical solution of partial differential equations including:

Finite difference methods and finite element methods.

Week

Topics

1

Classification of second -order linear PDE

Basic concepts of finite differences

2-3

F.D. for elliptic equations

( consistency - convergence - stability)

Solving systems of Linear and Nonlinear equations ( Iterative Methods)

4-5

F.D. for parabolic equations

6-7

F.D. for Hyperbolic equations

 

Grading Policy

Exam I

12%

Mini Project

14%

Computer Assignment & Homework

24%

Instructor: Dr. Faisal A. Fairag office: 5-416 Tel: 860-4463 email: ffairag@kfupm.edu.sa

office hours: TBA

Also by appointment

Course Homepage: http://msnhomepages.talkcity.com/Terminus/ffairag/ ( internet)

Or http://www.dpc.kfupm.edu.sa/~ffairag/ (Intranet)