Travel report: hyperbolic problems in Aachen


Conference photo of the XVI International Conference on Hyperbolic Problems at the RWTH Aachen.

I had the opportunity to attend and participate in the conference “XVI International Conference on Hyperbolic Problems” from 1st to 5th August 2016. This time the conference was organized by the RWTH Aachen University and supported, amongst others, by the DFG.

In my point of view it is commendable that many young scientists took their opportunity to present their own work beside the well-known experts. The talks and presentations were not only about the theory of hyperbolic problems. Many of the talks dealt with numerical analysis and applications of hyperbolic partial differential equations like Euler and Navier-Stokes type equations and conservation laws.

I presented the current state of my Ph.D. thesis on a poster with the title ‘A splitting approach for freezing waves’: We constructed a numerical scheme which yields a numerical steady state of the Burgers equation in a suitable co-moving frame using the freezing method. Our numerical method uses a central scheme from Kurganov and Tadmor to solve the hyperbolic problem. In combination with Lie- and Strang-splitting, we constructed fully discrete schemes to solve hyperbolic-parabolic problems. First promising numerical results for the Burgers equation show that we can expect linear and quadratic convergence respectively of a numerical steady state to a traveling wave of the original continuous problem.

The conference was first held 1986 in St. Etienne (France) and has been organized since then biennially at different locations all over the world: 2014 Rio de Janeiro (Brazil), 2012 Padua (Italy), 2010 Beijing (China), 2008 College Park (U.S.A.), 2006 Lyon (France), etc.
More information can be found here.

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