Partial Differential Equations- Scientific Computing TM/ENM, TMA482, Winter quarter 2006.

Lectures and examination:
Nils Svanstedt
tel: 772 5346
nilss@math.chalmers.se
Lectures: Monday 10-12 in MV-F32 and Thursday 10-12 in in MV-F32.

Computer Sessions (jointly with TMA632 Project Course PDE):
Johan Jansson
tel. 772 3551
johanjan@math.chalmers.se
Sessions/Lectures: Monday 13-15 in MV-F24 and Friday 10-12 in in MV-F24.

Literature:
Computational Differential Equations (CDE), Studentlitteratur/Cambridge, 1996.
Software (for ODE project):
Computer Sessions (session E8)
Start doing this session as a preparation for your ODE project.
Software (for PDE project):
FEniCS
An article on adaptive methods:
Adaptive methods for parabolic problems
A small note on adaptive algorithms:
in ps-format in pdf-format

Content:

1. A posteriori error analysis for ordinary differential equations.
2. Duality and adjoint operators.
3. A posteriori error analysis for partial differential equations
4. Adaptive finite element methods
5. Stability and stabilization.

Projects:
ODE-Project (NEW!!) Adaptive ode-solver