MAI0106 Course Information
Course Aims
The course intends to give the student knowledge about- Fundamental properties for initial boundary value problems (IBVP's). The concepts of well-posedness for the IBVP. The crucial role of boundary conditions. Effects of unceartainty in data for the IBVP.
- Fundamental properties for numerical methods applied to the IBVP: concistency, convergence, stability, efficiency. Methods for analysis of finite difference schemes for IBVP's.
- Higher order approximations, both in time and space. Methods for complex geometries: multi-block methods, unstructured finite volume methods, discontinuous Galerkin methods, spectral difference methods.
Course Litterature
Course Reader: "High order difference methods for time-dependent PDE" by Gustafsson,B., Springer Series in Computational Mathematics (2008) , For theoretical details see also: "Time-dependent problems and difference methods" by Gustafsson, B., Kreiss, H.-O., and Oliger, J. John Wiley and Sons (1995). For parts of the course not covered by these two books, relevant handouts will be provided during the lectures.Examination
There will be 6 mandatory problems to be done as home work. No exam in class.
Summary of course content
A summary of the course content is given here.
Related Material
A detailed course information for CME326 is available here.
Sidansvarig: jan.nordstrom@liu.se
Senast uppdaterad: 2019-11-29