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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 
5.15.3 
FEM for elliptic problems 
2 Friday 

Exercises 3.8, 3.9, 3.11 
3 Monday 
5.45.6, 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: 019, 3(G): 2029, 4: 3039, 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 reexamination:
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)