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.
讲师
日期
2025年09月17日 至 12月17日
位置
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| 周三 | 13:30 - 16:55 | A3-1a-204 | ZOOM 06 | 537 192 5549 | BIMSA |
修课要求
Basic knowledge about functional analysis, partial differential equations, real analysis, numerical analysis, finite element/difference method.
课程大纲
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.
参考资料
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.
听众
Advanced Undergraduate
, Graduate
, 博士后
, Researcher
, Undergraduate
视频公开
公开
笔记公开
公开
语言
中文
, 英文