Introduction to numerical methods for nonlinear partial differential equations
In this course, I will briefly introduce some numerical methods and corresponding numerical analysis to a few nonlinear PDEs, including the Allen–Cahn/Cahn-Hilliard equation, harmonic maps, nonlinear elasticity problems, Hamilton Jacobi equation, Navier Stokes equation and more topics.
Lecturer
Date
17th September ~ 17th December, 2025
Location
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Wednesday | 13:30 - 16:55 | A3-1a-204 | ZOOM 06 | 537 192 5549 | BIMSA |
Prerequisite
Basic knowledge about functional analysis, partial differential equations, real analysis, numerical analysis, finite element/difference method.
Syllabus
The plan for week 1: The obstacle problem.
The plan for the following weeks will be updated during the semester.
The plan for the following weeks will be updated during the semester.
Reference
1. Numerical Methods for Nonlinear Partial Differential Equations, by Soeren Bartels.
2. Linear and Nonlinear Functional Analysis with Applications, by P. G. Ciarlet.
3. Nonlinearity and Functional Analysis, by M. S. Berger.
4. Handbook of Numerical Analysis, Volume 21,22.
5. Navier–Stokes Equations and Nonlinear Functional Analysis: Second Edition, by Roger Temam.
2. Linear and Nonlinear Functional Analysis with Applications, by P. G. Ciarlet.
3. Nonlinearity and Functional Analysis, by M. S. Berger.
4. Handbook of Numerical Analysis, Volume 21,22.
5. Navier–Stokes Equations and Nonlinear Functional Analysis: Second Edition, by Roger Temam.
Audience
Advanced Undergraduate
, Graduate
, Postdoc
, Researcher
, Undergraduate
Video Public
Yes
Notes Public
Yes
Language
Chinese
, English