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

The schedule for the course can be found via the link to webTimeEdit top of the page.

Course code GU: MMA430

Teachers

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.

Texts in Applied Mathematics 45, Springer, 2003. Corrected second printing 2005.

Now in softcover, 2009.

Programme

Syllabus
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

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.

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

150828 (sol),
150602 (sol),
140829 (sol),
140527 (sol),
130830,
130528,
130114,
120831,
120522,
110826,
110524,
100525,
100827,
080526,
061024,
060828,
051019,
031022