TMA026 / MMA430 Partial differential equations - second course
This page contains the program of the course: lectures and exercise sessions. Other information, such as learning outcomes, teachers, literature and examination, are in a separate course PM.
Under files there are video lectures from 2020, covering the same material and solutions to some exercises. There you can also find lecture notes and old exams.
Program
The schedule of the course is in TimeEdit.
Lectures
| Day | Sections | Content |
|---|---|---|
| 18/3 | A.1 | Functional analysis |
| 20/3 | A.2 | Sobolev spaces |
| 22/3 | Exercises: A.6, A.11, A.15 | |
| 8/4 | 3.1-3.2, 3.5, 3.7 | Elliptic problems |
| 10/4 | 5.1-5.3, 5.4-5.6 | FEM |
| 12/4 | Exercises: 3.8, 3.9, 3.11 | |
| 15/4 | notes | Adaptive algorithms |
| 17/4 | Exercises: 5.3, 5.6, 5.11 | |
| 19/4 | 6.1 | Eigenvalue problems |
| 22/4 | 6.2 | Eigenvalue problems and FEM |
| 26/4 | Exercises: 6.1, 6.3, 6.5 | |
| 29/4 | 8.2 | Parabolic problems: eigenfunction expansion |
| 2/5 | 8.3 | Parabolic problems: variational formulation |
| 6/5 | Exercises: 8.6, 8.10, 8.16 | |
| 8/5 | 10.1-10.2 | FEM for parabolic problems |
| 13/5 | notes | Linear elasticity |
| 15/5 | notes | Linear elasticity |
| 17/5 | Exercises: 10.1, X.2, X.3, X.4 | |
| 20/5 | Applications in structural mechanics | |
| 22/5 | Course summary and questions |
Recommended exercises
| Day | Exercises |
|---|---|
| 22/3 | A.7, A.9, A.16 |
| 12/4 | 3.10, 3.13 |
| 19/4 | 5.5, 5.7, 5.17 |
| 26/4 | 6.7 |
| 2/5 | 8.4, 8.5, 8.11 |
| 17/5 | 10.3, 10.5, X.1, X.5 |
One of the exam questions will be to state and prove one of the following theorems:
A.4, 3.6, 5.3, 5.4, 6.5, 6.7, 8.3, 8.5, 8.6, 10.1,
Course summary:
| Date | Details | Due |
|---|---|---|