home,

**Lectures and examination:**

Claes Johnson

tel: 772 3518, 031-204327 (home)

claes@math.chalmers.se

Chalmers Finite Element Center Eklandagatan 80.

Lectures Monday and Thursday 10.00-11.45 in Kollektorn.

**Exercises:**

Richard Bergström

tel. 772 5314

ribe@math.chalmers.se

Chalmers Finite Element Center Eklandagatan 80.

Exercise whole group: Wednesday 13-15 Kollektorn (except week 5: instead FL61, FL72)

Individual instruction: Wednesday 15-17 FL10.

**Literature:**

Eriksson, Estep and Johnson: Computational
Differential Equations (CDE), Studentlitteratur/Cambridge, 1996.
CDE in brief

**Optional complementing literature:**

Eriksson, Estep and Johnson:
Applied Mathematics:
Body and Soul Springer 2003.

Selected chapters for download:
What is Mathematics?

Lorenz and The Essence of Chaos,

**Content:**

- Intro: Poisson, Conv-diffusion, Wave, Navier-Stokes
- Poisson's equation
- Heat equation
- Wave equation
- Convection-diffusion-reaction equation
- Maxwell's equations
- Schrödinger's equation
- Energy estimates
- Fundamental solutions
- Galerkin methods for discretization in time and space (finite element methods).
- Navier-Stokes with DOLFIN

Chapter 13 (Calculus review), 14-20 (Part. Diff. Eqns), 8-11 (Ordinary Diff. Eqns background).

**Chalmers organization model:**
One Department-One Differential Equation.

**Lecture notes from 2001:**

Download

**Exercise material:**

Download

Download

**Projects:**

Project 1

Project 2

Project 3 Navier-Stokes with DOLFIN (optional)

**Examination:**

Written exam at the end of course, Friday Oct. 25 am (f"ormiddag) in
V-building.
The exam has 50
points. In addition you can get up to 5+5 points from two
projects. Passing with grade 3 requires 25 points (adding points
from exam and
projects), passing with grade 4 requires
34, and grade 5 requires 43. If you reach the grade 4 this way
you can also count points from a third project that you design
yourself, and carry out after an ok from the examinator. This
project, too, is worth up to 5 points. It is presented both in
oral (Thursday Oct 18 in the lecture) and written (deliver with
the exam) form. The point from the projects fade away
after Oct 26 according to the formula bpoO26 x max(1-t^2,0) where
bpoO26 means bonus points of October 26, and t is time in
years. In particular, the points are gone after one year.

Written exam 011026 with solutions

Individual exam results.

Written exam 020115 with solutions

Individual 020115 exam results.

/Claes

Last modified: Wed Aug 28 13:06:46 CEST 2002