TMA026/MMA430, Partial differential equations - second course, 2018/19

Latest news

Welcome to the course! The schedule for the course can be found in TimeEdit.

Teachers

Course coordinator: Axel Målqvist

Teaching assistants: Carl Lundholm

Course literature

S. Larsson and V. Thomée, Partial Differential Equations with Numerical Methods,
Texts in Applied Mathematics 45, Springer, 2003. Corrected second printing 2005.

Program

Lectures

Day
Sections Contents
1 Monday
A.1
Tools in functional analysis
1 Wednesday
A.2
Sobolev spaces
1 Friday

Exercises A.6, A.7, A.11, A.15
2 Monday
3.1, 3.5, 3.7
Elliptic problems
2 Wednesday
5.1-5.3
FEM for elliptic problems
2 Friday

Exercises 3.8, 3.9, 3.11
3 Monday
5.4-5.6, notes
Adaptive algorithms
3 Wednesday
6.1
Eigenvalue problems
3 Friday

Exercises 5.3, 5.6, 6.1




Easter break




4 Monday
6.2
FEM for eigenvalue problems
4 Wednesday

No class
4 Friday

FEniCS tutorial
5 Monday
8.2
Parabolic problems, eigenfunction expansion
5 Wednesday
8.3
Parabolic problems, variational formulation
5 Friday

Exercises 6.3, 8.6, 8.10
6 Monday
10.1
FEM for parabolic problems, semi discrete
6 Wednesday
10.2
FEM for parabolic problems, fully discrete
6 Friday

Exercises 8.16, 10.1, 10.3
7 Monday
notes
Semilinear parabolic problems
7 Wednesday
notes
Semilinear parabolic problems
7 Friday

Exercises 10.4, 10.5
8 Monday

Questions/repetition
8 Wednesday

No class
8 Friday

No class

Recommended exercises

Day
Exercises
1 Friday
A.9, A.16, A.17
2 Friday
3.5, 3.10, 3.13
3 Friday
5.4a, 5.5, 5.7, 5.17
4 Friday
6.5, 6.7
5 Friday
8.4, 8.5, 8.11
6 Friday
10.6, 10.8

Course requirements

Important theorems: A.4, 3.6, 3.8, 5.3, 5.4, 6.1, 6.2, 6.3, 6.5, 6.7, 8.3, 8.4, 8.5, 8.6, 10.1, 10.2, 10.5

The learning goals of the course can be found in the course plan.

Computer assignments

Two computer assignments can in total give at most 6 bonus points. Computer assignment 1 (3 bonus points) and Computer assignment 2 (3 bonus points). Hand in on Friday Week 8.

Examination

Written exam. Maximum 50 points+bonus, U: 0-19, 3(G): 20-29, 4: 30-39, 5: 40-, and VG 35-.

Examination procedures

In Chalmers Student Portal you can read about when exams are given and what rules apply on exams at Chalmers. In addition to that, there is a schedule when exams are given for courses at University of Gothenburg.

Before the exam, it is important that you sign up for the examination. If you study at Chalmers, you will do this by the Chalmers Student Portal, and if you study at University of Gothenburg, you sign up via GU's Student Portal.

At the exam, you should be able to show valid identification.

After the exam has been graded, you can see your results in Ladok by logging on to your Student portal.

At the annual (regular) examination:
When it is practical, a separate review is arranged. The date of the review will be announced here on the course homepage. Anyone who can not participate in the review may thereafter retrieve and review their exam at the Mathematical Sciences Student office. Check that you have the right grades and score. Any complaints about the marking must be submitted in writing at the office, where there is a form to fill out.

At re-examination:
Exams are reviewed and retrieved at the Mathematical Sciences Student office. Check that you have the right grades and score. Any complaints about the marking must be submitted in writing at the office, where there is a form to fill out.

Old exams

180825 (sol), 180529 (sol), 170823 (sol), 170530 (sol) 160826 (sol), 160531 (sol), 150828 (sol), 150602 (sol), 140829 (sol), 140527 (sol)