Partial Differential Equations

About this programme

No fees are charged for EU and EEA citizens, Swedish residence permit holders and exchange students. This is the first course on partial differential equations (PDE) with applications in science and engineering. The objective of the course is two-fold: To introduce a theoretical foundation for classical PDEs such as Poisson's equation and the heat and wave equations and to introduce some modern approximation tools. In the theoretical part we study existence, uniqueness and stability concepts of model PDEs. As for the approximation tools, we focus on constructing and analysis of Galerkin methods. On one hand we consider the numerical analysis of approximation procedures such as: the variational principle, the minimization problem and representation theorems. On the other hand we deal with important implementation aspects such as a priori and a posteriori error estimates, and construction of numerical algorithms deriving, e.g., stiffness-, mass- and convection matrices. Knowledge equivalent to 60 credits in mathematics, including the course MMG300 MultivariateAnalysis. All eligible applicants who have applied before the deadline will be granted a place. Mathematical Sciences is a joint department of Chalmers/University of Gothenburg. Your education takes place in the spacious and bright premises of Mathematical Sciences at the Chalmers campus Johanneberg, where there are lecture halls, computer rooms and group rooms. Here you can also find student lunch room and reading room, as well as student counsellors and student office.