Jan Nordström, Department of Mathematics (MAI), Linköping University


New Theoretical Developments for Initial Boundary Value Problems at Linköping University


During the last decade, provably stable high order methods for initial-boundary-value-problems have been developed. The stability is due to the use of so-called Summation-By-Parts (SBP) operators , penalty techniques for implementing boundary and interface conditions using Simultaneous Approximation Terms (SAT), and the energy method for proving stability. In this talk we will present the SBP-SAT technique and relate it to the approximated initial-boundary-value-problem.

Next, we will discuss a selection of the following topics: hybrid and coupling techniques for flow and geophysics problems, encapsulation techniques for difference operators on curvilinear grids, the multiple penalty technique, provably stable filtering techniques, multigrid methods for hyperbolic problems, singularity of the spatial operator in the incompressible Navier-Stokes equations, dual time stepping, uncertainty quantification and operator construction using machine learning.

Applications can be found in aeronautics, weather prediction, oceanography and all kinds of problems involving signal and sound propagation.


Thursday March 5, 14:15


Rossbysalen C609, Arrhenius laboratory, Svante Arrhenius väg 16C, 6th floor