MA 8443: Numerical Solution of PDEs I - Fall 2026
Logistics
- Instructor: Prof. Seongjai Kim
- Class: 18 Allen: MW 02:00PM - 03:15PM
- Office Hours: MW 10:00 - 11:00AM, or by appointment
- Textbook: Seongjai Kim,
Numerical Methods for Partial Differential Equations, Lecture Note:
Download
- Please feel free to contact me for any questions, suggestions, or problems.
Course Subjects
We will cover the lecture note.
- Ch.1. Mathematical Preliminaries
- Ch.2. Numerical Methods for ODEs
- Ch.3. Properties of Numerical Methods
- Ch.4. Finite Difference Methods for Elliptic Equations
- Ch.5. Finite Element Methods for Elliptic Equations
- Ch.6. FD Methods for Hyperbolic Equations
- Ch.7. Locally One-Dimensional Methods
Extra topics will be added, when time is available
Learning Objectives
- The course is concerned with
- Basic concepts in the finite difference and finite element methods
- Methods for parabolic and hyperbolic equations
- Analysis of stability and convergence
-
The emphasis throughout is on the understanding and
error/convergence analysis for numerical methods.
To help the students experience the state-of-the-art in numerical
methods and be better prepared for their profession, a few research
problems would be suggested; students should choose to solve one of them,
depending on their interests, and finish it as a project.
See details:
MA8443-Numer-PDE1-Syllabus.pdf
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