Math 950 - Numerical PDEs I
Spring, 2023
Professor: Jianliang Qian
Office: C306 Wells Hall
Phone: (517)353-6334
Email: jqian@msu.edu
Lectures: TueThu 2:20-3:40pm
Location: A316 WH
Office Hours: MWF 2pm-3pm and by appointment
Course Website: http://www.math.msu.edu/~qian/950.23s/index950.html
Description and Contents
This course will cover finite difference methods for solving PDEs, including hyperbolic, parabolic, and elliptic equations in general. The model equations consist of Poisson, heat, and wave equations. Accuracy, stability, and convergence will be covered.
Required Textbook
- John C. Strikwerda, Finite difference schemes and partial differential equations, 2nd edition, SIAM, 2004.
Recommended Textbook
- Gary Cohen, Higher-order numerical methods for transient wave equations, Springer, 2002.
Homework and Projects
- This will be a computationally intensive course, including programming and written assignments.
- The computational problems will utilize MATLAB.
- Homework due in class. No late homework accepted.
Exams
- Final Exam/Final Project: TBA.
Grading based on
- Class participation (10%), assignments (60%), and Project (30%).
- 4.0: 90% - 100%; 3.5: 80% - 89%; 3.0: 70% - 79%; 2.5: 60% - 69%; 2.0: less than 60%.
Assignment
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