Numerical Analysis and Scientific Computing Seminar | Jan Nordström, SBP-SAT: past, present and future.

Jan Nordström, Professor Emeritus in Computational Mathematics at the Department of Mathematics, Linköping University

It is well-known that the SBP-SAT technique leads to energy stability if the linear initial boundary value problem (IBVP) is well-posed. It is less well-known what is required for energy stability of variable coefficient and nonlinear IBVPs.  In this talk, I will present my personal view on the development from the early “linear days” up to the present “nonlinear days".  Typical ingredients will be: the continuous-discrete relation, the linearization procedure, what is an energy bound?, SBP in linear and nonlinear setting, skew-symmetry, SAT for linear and nonlinear boundary conditions, boundary conditions with data, primitive-conservative-computational formulations of IBVPs.