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 FEM for eigenvalue problems
24/4 no class
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 Guest lecture: beam theory
22/5 Course summary and questions

 

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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, 

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Course summary:

Date Details Due