Institut für Mathematik und Informatik

Please let us know in advance which technical equipment you plan to use. We have rooms with large chalkboard, with a beamer, or both (also for simultaneous use).

The audience of your talk includes faculty and students of diverse mathematical backgrounds (pure & applied math, and computer science).

We kindly request that your talk be about 50 minutes in length, aimed at a general audience, and accessible to graduate students.

In particular, your talk should not be directed towards an audience of experts as is common in area-specific seminars. It is not necessary to present details on your latest research results. However, discussing their global meaning and consequences can be very valuable, and giving some historical perspective of your topic and explaining why it is of interest to you and your community can be an excellent start. Please do not feel obliged to explain all ideas in a fully rigorous way.

Indeed, most of the audience will very much appreciate a slightly informal approach to new topics and concepts.

We thank you very much in advance, and we are looking forward to your talk!

See also John McCarthy’s 'How to give a good colloquium'

In technical applications one is often confronted with numerically solving coupled systems of time-dependent differential equations of various types. These systems are usually equipped with dynamics acting on different time scales. To exploit this multirate behaviour, multistep integration schemes use different time steps tailored to the dynamics of the subsystems. This talk will give a survey on these schemes, including their development, analysis with respect to consistency and stability and applications in refined network analysis.

Michael Günther was born in Munich in 1967. He studied Mathematics with minor subject Physics (diploma in 1992), received a Ph.D. in Computer Science in 1995, both at Technische Universität München, and obtained his venia legendi (Habilitation) at Universität Karlsruhe (TH) in 2001. After positions as research assistant, assistant professor and professor at proxy at Technische Universität Darmstadt, Universität Karlsruhe (TH) and Universität Ulm, he joined the Bergische Universität Wuppertal in 2003, where he currently holds the chair of applied mathematics and numerical analysis. Since 2016 he is dean of the school of mathematics and natural sciences at the Bergische Universität Wuppertal .

Michael Günther's research interests include numerical analysis and simulation of time-dependent differential equations inclduing differential algebraic equations and coupled problems. The fields of application comprise computational physics (lattice QCD), computational finance (financial deriivatives and option pricing) and computational electronics.