Hans Munthe-Kaas
Hans Zanna Munthe-Kaas (born 28 March 1961) is a Norwegian mathematician at the University of Bergen, working in the area of computational mathematics in the borderland between pure and applied mathematics and computer science.
Hans Zanna Munthe-Kaas | |
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Photograph:[1] | |
Born | Northallerton, England | 28 March 1961
Nationality | Norwegian |
Alma mater | Norwegian University of Science and Technology |
Scientific career | |
Fields | Mathematics |
Institutions | University of Bergen, Norway |
Doctoral advisor | Syvert Paul Nørsett and Jan Ole Aasen[2] |
Website | hans |
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.
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 (B-series and Lie–Butcher series).[3]
In the mid-1990s Munthe-Kaas developed what are now known as Runge–Kutta–Munthe-Kaas methods,[4] a generalisation of Runge–Kutta methods to integration of differential equations evolving on Lie groups. The analysis of numerical Lie group integrators[5] leads to the study of new types of formal power series for flows on manifolds (Lie–Butcher series). Lie–Butcher theory combines classical B-series with Lie-series.
Algebraically, B-series are based on pre-Lie algebras, whereas the generalised Lie–Butcher series are based on the concept of post-Lie algebras. Applications in numerical integration on manifolds has led to fundamental research in the structure of post-Lie algebras and their relations to differential geometry, with ramifications in many different areas of applications.
Honors and awards
Munthe-Kaas received Exxon Mobil Award for best PhD at NTNU, 1989, and the Carl-Erik Frōberg Prize in Numerical Mathematics 1996 for the paper "Lie–Butcher theory for Runge–Kutta Methods". Munthe-Kaas is elected member of the Norwegian Academy of Science and Letters, the Royal Norwegian Society of Sciences and Letters and the Norwegian Academy of Technological Sciences. Munthe-Kaas is the chair of the international Abel prize committee (2018-2022), he is President of the Scientific Council of Centre International de Mathématiques Pures et Appliquées (CIMPA) (2017–present) and he is Editor-in-Chief of Journal Foundations of Computational Mathematics (2017–present). Munthe-Kaas was secretary of Foundations of Computational Mathematics (2005–2011) and member of the Board of the Abel Prize in Mathematics (2010–2018).
Personal life
Munthe-Kaas married Antonella Zanna, an Italian numerical analyst, in 1997; they have four children.[6]
References
- "Peter Badge". Steidl Verlag. Retrieved 16 June 2017.
- "Hans Munthe-Kaas - The Mathematics Genealogy Project". genealogy.math.ndsu.nodak.edu. Retrieved 16 March 2017.
- "Research". Hans.Munthe-Kaas.no. Retrieved 16 June 2017.
- "[http://hans.munthe-kaas.no/work/Blog/Entries/1998/1/1_Article__Runge-Kutta_methods_on_Lie_groups_files/munthe-kaas98rkm.pdf] [http://hans.munthe-kaas.no/work/Blog/Entries/1999/1/1_Article__High_orderRunge-Kutta_methods_on_manifolds_files/munthe-kaas99hor.pdf" (PDF). Munthe-Kaas.no. Retrieved 16 June 2017. External link in
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(help) - Iserles, Arieh; Munthe-Kaas, Hans; Nørsett, Syvert P.; Zanna, Antonella. "Lie-group methods". Acta Numerica. 2000: 215–365.
- "Short curriculum vitae: Hans Munthe-Kaas". Retrieved 2020-04-06.