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
Photograph:[1]
Born (1961-03-28) 28 March 1961
Northallerton, England
NationalityNorwegian
Alma materNorwegian University of Science and Technology
Scientific career
FieldsMathematics
InstitutionsUniversity of Bergen, Norway
Doctoral advisorSyvert Paul Nørsett and Jan Ole Aasen[2]
Websitehans.munthe-kaas.no

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
  1. "Peter Badge". Steidl Verlag. Retrieved 16 June 2017.
  2. "Hans Munthe-Kaas - The Mathematics Genealogy Project". genealogy.math.ndsu.nodak.edu. Retrieved 16 March 2017.
  3. "Research". Hans.Munthe-Kaas.no. Retrieved 16 June 2017.
  4. "[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 |title= (help)
  5. Iserles, Arieh; Munthe-Kaas, Hans; Nørsett, Syvert P.; Zanna, Antonella. "Lie-group methods". Acta Numerica. 2000: 215–365.
  6. "Short curriculum vitae: Hans Munthe-Kaas". Retrieved 2020-04-06.
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