Math 783: Applied Numerical Methods for Partial Differential Equations

(TR 9:30-10:45AM; Room 456 Snow Hall; Line #: 52392)

• An Introduction to Computer Programming (with MATLAB) for Scientific Computing
• Homework #1: Problem 2.1 (textbook). Due on Jan 30, 2020. (Solution keys)
• Homework #2: Problem 2.2 (textbook). Due on Feb 6, 2020. (Solution keys)
• Homework #3: Problem 2.3 and 2.4 (textbook). Due on Feb 13, 2020. (Solution keys)
• Homework #4: Problem 2.7 (textbook). Due on Feb 20, 2020. (Solution keys)
• Homework #5: Implement Linearly Implicit CN Scheme for Burgers' equation. Due on Feb 27, 2020.
• Homework #6: Implement MOL for Burgers' equation using ODE15s. Due on March 5, 2020 (extended to March 26, 2020).
• Midterm exam (Solution keys)
• Notes for Lecture 1
• Notes for Lecture 2
• Notes for Lecture 3
• Notes for Lecture 4
• Notes for Lecture 5
• Notes for Lecture 6
• Notes for Lecture 7
• Notes for Lecture 8a
• Notes for Lecture 8b
• Notes for Lecture 9
• Notes for Lecture 10 (Lecture 9 Continued)
• Notes for Lecture 11
• Notes for Lecture 12
• Notes for Lecture 13
• Notes for Lecture 14
• Notes for Lecture 15 (We will use the same notes from Lecture 14 and study implicit schemes, natural ordering, and how to solve the linear system arising from implicit discretization.)
• Notes for Lecture 16 (We will study the alternating direction implicit (ADI) methods.)
• Notes for Lecture 17 (We will study numerical solution of hyperbolic equations.)
• Notes for Lecture 18 (We will continue to study numerical solution of hyperbolic equations.)
• Notes for Lecture 19 (Finite Element Method (FEM): Weak formulation for boundary value problems)
• Notes for Lecture 20 (Finite Element Method (FEM): 1d model problem)
• After this lecture, all communications and materials will be posted through Blackboard.
• heat1d.m (matlab code for heat equation)

1. Instructor:
Prof. Weizhang Huang (Office: 405D Snow Hall, Phone: 864-3651, Email: whuang@ku.edu)
Web: http://whuang.ku.edu

2. Office hours:
Tuesday and Thursday: 11:00AM-12:00PM

3. Prerequisite:
Math 647 or equivalent.

4. Textbook:
Our textbook is Numerical Solution of Partial Differential Equations by K. W. Morton and D. F. Mayers (Cambridge University Press, 2nd Edition, 2005). We will cover Chapters 2, 3, and 4 of the book and use other lecture notes for finite element methods.

5. Grading:

Homework+Computer Projects	50%
Midterm exam	20%
Final project	30%
Total	100%

6. Homework and Computer Projects:
Homework problems will be assigned in class meetings and collected Thursday in class. Sorry, no late papers will be accepted. Not all problems will be graded. The collection dates for computer projects will be stated in the assignments.

7. Exams:
The midterm exam will cover Chapters 1, 2, and 3 and its date will be announced at least a week in advance. We will have a final project but no final exam.

8. Difficulties:
If you have trouble seeing, hearing, walking, or others that may prevent you from fully participating in this course, please let me know. We will see what arrangements can be made.