King
Fahd University of Petroleum and Minerals
Department of Mathematics and Statistics
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Course: |
Math 572 |
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Title: |
Numerical Analysis of Partial
Differential Equations - 12695 - |
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Textbook: |
Partial Differential Equations with
Numerical Methods by Stig Larsson and Vidar Thomee |
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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. |
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Course webpage: |
http://faculty.kfupm.edu.sa/math/ffairag/math572_081/ |
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Scheduled Meeting
Times |
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Type |
Time |
Days |
Location |
Instructors |
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Class |
3:35 pm - 4:50 pm |
UT |
Building #5 101 |
DR. FAISAL A. FAIRAG |
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Final Examination |
7:00 pm - 10:00 pm |
M |
TBA |
TBA |
|
DR. FAISAL A. FAIRAG |
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Office: 59-1024 Tel: 860- 4463 E-mail: ffairag@kfupm.edu.sa |
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Syllabus |
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Week |
TOPICS |
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1 |
Finite
Difference Method for Poisson Equation |
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2-4 |
Finite
Element Method for Poisson Equation |
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5 |
Classification
of second -order linear PDE |
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6 |
Solution
Methods: Iterative Techniques Solving
systems of Linear and Nonlinear equations ( Iterative Methods) |
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7-8 |
Finite
Difference Method for Elliptic equations ý( consistency - convergence - stability)ý |
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9 |
Finite
Difference Method for Parabolic equations |
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10 |
Finite
Difference Method for Hyperbolic equations |
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11-13 |
Finite
Element Methods for Elliptic Equations; Variational
Formulation |
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14 |
Finite
Element Methods for Parabolic Equations |
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15 |
Finite
Element Methods for Hyperbolic Equations |
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Grading Policy |
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Computer Assigment and Homework |
Mini-project |
Mid-Exam
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Final Exam |
Class interaction |
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30 |
20 |
20 |
25 |
5 |
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References |
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1 |
The
Mathematical Theory of Finite Element Methods by Susanne C. Brenner and L.
Ridgway Scott |
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2 |
Finite
Difference Method for Poisson Equation |
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3 |
Numerical Analysis of PDE by Hall and Porsching |
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4 |
Finite
Difference Methods by Mitchell and Griffiths |
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5 |
Finite
Element and Fast Iterative Solvers by Elman , Silvester
and Wathen |
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6 |
Numerical
Methods for Partial Differential Equations (SMA 5212) MITOPENCOURSEWARE |
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7 |
Numerical
Methods for Partial Differential Equations: |