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leads to the study of new types of formal power series for flows on manifolds (Lie–Butcher series). Lie–Butcher theory combines classical
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in
Numerical Mathematics 1996 for the paper "Lie–Butcher theory for Runge–Kutta Methods". Munthe-Kaas is elected member of
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214:. A central aspect is the analysis of structure preservation by algebraic and combinatorial techniques (
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Iserles, Arieh; Munthe-Kaas, Hans; Nørsett, Syvert P.; Zanna, Antonella. "Lie-group methods".
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to integration of differential equations evolving on Lie groups. The analysis of numerical
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in 1989, called to full
Professor 1997 and has since 2005 been Professor of
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in the borderland between pure and applied mathematics and computer science.
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committee (2018–2022), he is
President of the Scientific Council of
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for fundamental structures in computational and pure mathematics.
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and structure preserving algorithms for numerical integration of
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In the mid-1990s Munthe-Kaas developed what are now known as
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in Tromsø where he is co-director of the newly established
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Members of the
Norwegian Academy of Technological Sciences
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565:
Members of the
Norwegian Academy of Science and Letters
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Munthe-Kaas received Exxon Mobil Award for best PhD at
327:"Hans Munthe-Kaas - The Mathematics Genealogy Project"
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The work of Munthe-Kaas is centred on applications of
281:(CIMPA) (2017–present) and he is Editor-in-Chief of
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580:Presidents of the Norwegian Mathematical Society
283:Journal Foundations of Computational Mathematics
273:. Munthe-Kaas is the chair of the international
167:. The main focus of is work lies in the area of
570:Royal Norwegian Society of Sciences and Letters
267:Royal Norwegian Society of Sciences and Letters
309:, in 1997; they have four children and a dog.
285:(2017–present). Munthe-Kaas was secretary of
68:Norwegian University of Science and Technology
462:"High order Runge-Kutta methods on manifolds"
378:"Lie-Butcher Therory for Runge-Kutta Methods"
8:
289:(2005–2011) and member of the Board of the
271:Norwegian Academy of Technological Sciences
560:Academic staff of the University of Bergen
514:"Short curriculum vitae: Hans Munthe-Kaas"
18:
555:Norwegian Institute of Technology alumni
287:Foundations of Computational Mathematics
263:Norwegian Academy of Science and Letters
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182:. Since 2021 he is mainly working at
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420:"Runge-Kutta methods on Lie groups"
184:UiT The Arctic University of Norway
161:UiT The Arctic University of Norway
99:UiT The Arctic University of Norway
460:Munthe-Kaas, Hans (January 1999).
14:
176:Norwegian Institute of Technology
227:Runge–Kutta–Munthe-Kaas methods
1:
481:10.1016/S0168-9274(98)00030-0
469:Applied Numerical Mathematics
331:genealogy.math.ndsu.nodak.edu
293:in Mathematics (2010–2018).
596:
418:Munthe-Kaas, Hans (1998).
376:Munthe-Kaas, Hans (1995).
152:(born 28 March 1961) is a
427:BIT Numerical Mathematics
385:BIT Numerical Mathematics
169:computational mathematics
124:
73:
550:Norwegian mathematicians
255:Carl-Erik FrĹŤberg Prize
174:He took his PhD at the
16:Norwegian mathematician
229:, a generalisation of
212:differential equations
23:Hans Zanna Munthe-Kaas
235:Lie group integrators
208:geometric integration
200:differential geometry
301:Munthe-Kaas married
165:University of Bergen
95:University of Bergen
356:Hans.Munthe-Kaas.no
231:Runge–Kutta methods
115:Syvert Paul Nørsett
439:10.1007/BF02510919
397:10.1007/BF01739828
220:Lie–Butcher series
188:Lie-Størmer Center
307:numerical analyst
259:Academia Europaea
245:Honors and awards
241:with Lie-series.
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75:Scientific career
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517:. Retrieved
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136:.munthe-kaas
91:Institutions
74:
540:1961 births
180:Mathematics
159:working at
149:Munthe-Kaas
147:Hans Zanna
85:Mathematics
54:Nationality
534:Categories
519:2020-04-06
502:: 215–365.
433:: 92–111.
352:"Research"
313:References
291:Abel Prize
275:Abel prize
35:1961-03-28
204:Lie group
154:Norwegian
58:Norwegian
48:, England
447:14427246
405:16255510
336:16 March
269:and the
239:B-series
216:B-series
194:Research
163:and the
361:16 June
129:Website
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265:, the
261:, the
103:Tromsø
81:Fields
465:(PDF)
443:S2CID
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381:(PDF)
101:, in
500:2000
363:2017
338:2017
251:NTNU
218:and
202:and
134:hans
117:and
29:Born
477:doi
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