King
Fahd University of Petroleum and Minerals
Department of Mathematics and Statistics
Course: |
Math 572 |
Title: |
Numerical Analysis of Partial
Differential Equations - 12695 - |
Textbook: |
Partial Differential Equations with
Numerical Methods by Stig Larsson and Vidar Thomee |
Catalogue
Description |
Theory and implementation of
numerical methods for boundary value problems in partial differential
equations (elliptic, parabolic, and hyperbolic). Finite difference and finite
element methods: convergence, stability, and error estimates. Projection
methods and fundamentals of variational methods.
Ritz-Galerkin and weighted residual methods. |
Course webpage: |
http://faculty.kfupm.edu.sa/math/ffairag/math572_082/ |
Scheduled Meeting
Times |
||||
Type |
Time |
Days |
Location |
Instructors |
Class |
3:35 pm - 4:50 pm |
UT |
Building #5 101 |
DR. FAISAL A. FAIRAG |
Final Examination |
7:00 pm - 10:00 pm |
M |
TBA |
TBA |
DR. FAISAL A. FAIRAG |
Office: 59-1024 Tel: 860- 4463 E-mail: ffairag@kfupm.edu.sa |
Syllabus |
|
Meetings |
TOPICS |
3 |
One Dimension Finite Element Method |
1 |
Classification
of second -order linear PDE |
5 |
Finite
Element Method for Elliptic Equation |
3 |
Finite Difference Method for Elliptic equations |
1 |
Initial Value Problem for Ordinary differential equations |
3 |
Finite Difference Method for Parabolic equations |
3 |
Finite
Volume Method for Hyperbolic equations |
4 |
Finite Element Method for Hyperbolic equations |
2 |
Collocation Method |
2 |
Mixed
Finite Element Method
|
2 |
A
posteriori error
(Adaptive)
|
1 |
Solution
Methods: Iterative Techniques Solving systems of Linear and Nonlinear equations ( Iterative Methods) |
Grading Policy |
||||
Computer Assigment and Homework |
Mini-project |
Mid-Exam
|
Final Exam |
Class interaction |
30 |
20 |
20 |
25 |
5 |
References |
|
1 |
The
Mathematical Theory of Finite Element Methods by Susanne C. Brenner and L.
Ridgway Scott |
2 |
Finite
Difference Method for Poisson Equation |
3 |
Numerical Analysis of PDE by Hall and Porsching |
4 |
Finite
Difference Methods by Mitchell and Griffiths |
5 |
Finite
Element and Fast Iterative Solvers by Elman , Silvester
and Wathen |
6 |
Numerical
Methods for Partial Differential Equations (SMA 5212) MITOPENCOURSEWARE |
7 |
Numerical
Methods for Partial Differential Equations: |