List of projects

Description
Filippo Splitting with complex coefficients or simulation of mechanical systems (bouncing sphere/ block hit by a bullet)
Lu Maxwell equations and Energy-Preserving vs other struscture preserving methods.
Oyvin Finite Element Method and volume preservation for PDEs.
Chai Wei Stochastic differential equations, linear problems with a stochastic external force. Runge-Kutta and Newmark methods.
Christina and Fabio Simulation of molecular dynamics.
Åsmund Time integration methods for Navier-Stokes equations. Implicit and explicit RK methods versus BDFs
Lars Two phase flow porus media. Nonlinear transport equation. Exponential integrators.
Markus Dynamics of rigid bodies in connection with animation problems.

Here you find two reports written for the course on numerical PDEs and three presentations made for the course MA8404. These are just examples of how the project work can be done. The projects for the course on numerical PDEs have different scope compared to our course: in TMA4212 there are three precise tasks assiged (implementing a difference scheme, studying stability and convergence and speed-up the code), in our course you are free to chose what to focus on and you should possibly focus on something relevant to your research/field of interest.

Nonlinear Schrödinger keller_presentation.pdf Hybrid Monte Carlo Averaged Lagrangian Methods Maxwell equations

2013-10-01, Elena Celledoni