Hans Munthe-Kaas
Hans Zanna Munthe-Kaas is a Norwegian mathematician working at UiT The Arctic University of Norway and the University of Bergen. The main focus of is work lies in the area of computational mathematics in the borderland between pure and applied mathematics and computer science.
He took his PhD at the Norwegian Institute of Technology in 1989, called to full Professor 1997 and has since 2005 been Professor of Mathematics. Since 2021 he is mainly working at UiT The Arctic University of Norway in Tromsø where he is co-director of the newly established Lie-Størmer Center for fundamental structures in computational and pure mathematics.
Research
The work of Munthe-Kaas is centred on applications of differential geometry and Lie group techniques in geometric integration and structure preserving algorithms for numerical integration of differential equations. A central aspect is the analysis of structure preservation by algebraic and combinatorial techniques.In the mid-1990s Munthe-Kaas developed what are now known as Runge–Kutta–Munthe-Kaas methods, a generalisation of Runge–Kutta methods to integration of differential equations evolving on Lie groups. The analysis of numerical Lie group integrators leads to the study of new types of formal power series for flows on manifolds. Lie–Butcher theory combines classical B-series with Lie-series.