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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