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Jan Nordström


Speaker: Jan Nordström
Title: New Developments for Initial Boundary Value Problems
Affiliation: Linköping University
Date: Wednesday, January 14, 2015
Place and Time: Room 101, Love Building, 3:35-4:30 pm
Refreshments: Room 204, Love Building, 3:00 pm

Abstract. During the last decade, stable high order finite difference methods and finite volume methods applied to initial-boundary-value-problems have been developed. The stability is due to the use of so-called summation-by-parts operators, penalty techniques for implementing boundary and interfac conditions, and the energy method for proving stability. In this talk we discuss new aspects of this technique and focus on the relation to the initial-boundary-value-problem. By reusing the main ideas behind the development mentioned above, new time-integration procedures, boundary conditions, boundary procedures, multi-physics couplings and uncertainty quantification techniques, have been derived. We will present the theory by analyzing simple examples and apply to very complex problems.