Partial Differential Equations - Project Course ENM, TMA632, Quarter II Fall 2010.

Lectures and examination:
Nils Svanstedt
tel: 772 5346

Teaching assistant:
Hermann Douanla tel: 772 3583

Wednesdays 10-11.45 in in MVF 31 except week 2 when we meet in MVF 26.

Fridays 10-11.45 in MVF 32 week 1 and 2 and MVF 31 week 3-7.

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):
An article on:
Adaptive methods for parabolic problems
An article on:
Adaptive methods for Computational Fluid Dynamics (CFD)
A small note on:
adaptive algorithms


  1. A posteriori error analysis for ordinary differential equations.
  2. Stability estimates
  3. Duality and adjoint operators.
  4. A priori error analysis for partial differential equations
  5. A posteriori error analysis for partial differential equations
  6. Adaptive finite element methods
  7. Stabilization methods like streamline-diffusion.
  8. FEM for various types of problems like wave propagation, incompressible Navier-Stoke equations,
    elliptic eigenvalue problems, convection-diffusion-reaction problems, Schrödinger equations, biharmonic equation.
1. Completed ODE project (see below).
2. Completed PDE project (see below).

ODE-Project Adaptive ode-solver
PDE project See list of PDE projects

Last modified: Monday 25 October 2010