Latest news
Welcome to the course.
The schedule for the course can be found via the link to webTimeEdit top of the page.
Course code GU: MMA430
Teachers
Lecturer: Axel Målqvist
Assistant: Kristin Kirchner
Course literature
S. Larsson and V. Thomée, Partial Differential Equations with Numerical Methods,
Texts in Applied Mathematics 45, Springer, 2003. Corrected second printing 2005.
Now in softcover, 2009.
Programme

Lectures and exercises

Week Chapter
Contents
1 Monday   A.1   Tools in functional analysis
1 Wednesday   A.2   Sobolev spaces
1 Friday     No class

Easter break

2 Monday   A.2, 3.1-3.2   Sobolev spaces, elliptic problems, the maximum principle
2 Wednesday   3.4-3.5   Fundamental solution, variational formulation
2 Friday     Exercises A.9, A.10, A.11, A.15

3 Monday   3.6-3.7   Neumann's problem, regularity
3 Wednesday   5.1-4   The finite element method

4 Monday   6.1   Eigenvalue problems
4 Monday   (Extra class 13-15 in MVL31) Exercises 3.8, 5.6, 5.8
4 Wednesday   6.2   Numerical approximation of eigenvalue problems
4 Friday     Exercises 6.1, 6.3

5 Monday   8.2   Parabolic problems
5 Wednesday   8.3-4   Variational form and maximum principle
5 Friday     No class

6 Monday   10.1   FEM for parabolic problems, semi discrete
6 Wednesday   10.2   FEM for parabolic problems, fully discrete

7 Monday     FEniCS tutorial (Kristin Kirchner)
7 Monday   11.2-3   The wave equation, first order scalar equations
7 Wednesday   11.4   Symmetric hyperbolic systems
7 Friday     Exercises 8.6, 8.10, 10.1, 10.3

8 Monday   13.1   Finite element approximation of hyperbolic problems
8 Wednesday     Old exam problems
8 Friday     Exercises 11.7, 11.10, 13.1
Computer labs
Computer exercise (2 bonus points). Hand in before the exam. We use the FEniCS software. Install it on your computer!

FEniCS Intro by Kristin
Course requirements
Important theorems:
A.4, A.6, 3.1, 3.2, 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, 11.2, 11.3, 13.1
Assignments
Hand-in exercises
You should try to do all exercises for each chapter that we study. I invite you to hand in one set of exercise problems according to the list below. Each solved problem gives you 0.5 bonus point (in total maximally 3) + 2 points for the computer exercise on the written exam.
Week Exercises
4   A.16, 3.4, 5.7a Hand in on Friday week 4.
7   8.4a, 10.5, 11.5 Hand in on Friday week 7.
7   Computer exercise (2 bonus points). Hand in on Friday Week 7.
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.
At the exam, you should be able to show valid identification.
Before the exam, it is important that you report that you want to take the examination. You do this at Chalmers Student Portal.

Notice of result is obtained only by email via Ladok. (Not verbally at study expedition.) This is done automatically when the results are registered. Check that you have the right grades and score.

At the annual examination:
When it is practical a separate review is arranged. The date of the review will be announced here on the course website. Anyone who can not participate in the review may thereafter retrieve and review their exam on Mathematical sciences study expedition, Monday through Friday, from 9:00 to 13:00. 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 picked up at the Mathematical sciences study expedition, Monday through Friday, from 9:00 to 13:00. Any complaints about the marking must be submitted in writing at the office, where there is a form to fill out.
Old exams