Partial Differential Equations- Scientific Computing TM, TMA 482, per 3 2003.

Lectures and examination:
Claes Johnson
tel: 772 3518, 031-204327 (home)
claes@math.chalmers.se
Chalmers Finite Element Center Eklandagatan 86.
Lectures: Monday 8-10 and Thursday 13-15, see below

Projects:
Johan Jansson
tel. 772 5314
johanjan@math.chalmers.se
Chalmers Finite Element Center Eklandagatan 86.
Instruction: Monday 10-12, Thursday 15-17, see below.
Projects Help Desk

Literature:
Computational Differential Equations (CDE), Studentlitteratur/Cambridge, 1996. CDE in brief
Adaptive methods for parabolic problems
Optimal control
Inverse problems/identification
Computability and adaptivity in CFD
Compressible flow

Complementing literature:
Selected chapters from Applied Mathematics: Body and Soul:
What is Mathematics? Laplacian models, The Crash Model, The Solar System,
Lorenz and the Essence of Chaos, Adaptive ode-solver, Fem in 1d, Fem in 23d,
Optimization/identification, Navier-Stokes: quick and easy.

Presentation of Chalmers Finite Element Center (Overview of some Part Diff Eqns).

Content:

1. Intro: Poisson, Conv-diffusion, Wave, Navier-Stokes
2. Adaptive ode-solvers: stiff problems
3. Adaptive methods for reaction-diffusion problems
4. Adaptive methods for incompressible Navier-Stokes
5. Adaptive methods for compressible flow
6. Optimization/identification
7. Software: Femlab, DOLFIN

Projects:
Project 1 Adaptive ode-solver
Project 2 Reaction-diffusion-solver
Optional project Navier-Stokes-solver
Optional project Optimization/identification
Optional project Compressible flow

Exam:
Written exam on theory and 3 hand-in projects. Preparation for exam.

NB! example questions for exam now up (updated 2002-03-05).

Results:
The results of the exam and projects are now posted.

Lokaler:
Läsvecka 1 Torsdagen den 23/1 kl 13-15 MD7, kl 15-17 labsal B
Läsvecka 2 Måndagen den 27/1, kl 8-10 MD7, kl 10-12 labsal MD2 Torsdagen den 30/1, kl 13-15 MD7, kl 15-17 labsal B
Läsvecka 3 Måndagen den 3/2, kl 8-10 MD7, kl 10-12 labsal MD2 Torsdagen den 6/2, kl 13-15 MD7, kl 15-17 labsal B
Läsvecka 4 Måndagen den 10/2, kl 8-10 MD7, kl 10-12 labsal MD2 Torsdagen den 13/2, kl 13-15 MD9, kl 15-17 labsal B
Läsvecka 5 Måndagen den 17/2, kl 8-10 MD7, kl 10-12 labsal MD2 Torsdagen den 20/2, kl 13-15 MD7, kl 15-17 labsal B
Läsvecka 6 Måndagen den 24/2, kl 8-10 MD7, kl 10-12 labsal MD2 Torsdagen den 27/2, kl 13-15 MD7, kl 15-17 labsal B
Läsvecka 7 kl 10-12 labsal MD2 kl 15-17 labsal B