Douglas Arnold

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Douglas Norman Arnold (born April 30, 1954 in New York City ) is an American mathematician who deals with applied and numerical mathematics .

life and work

Arnold studied at Brown University ( bachelor's degree in 1975) and at the University of Chicago , where he received his master's degree in 1976 and his doctorate with Jim Douglas in 1979 ( An Interior Penalty Finite Element Method with Discontinuous Elements ). From 1979 he was at the University of Maryland in College Park as an assistant professor and from 1989 as a professor. In 1989 he became a mathematics professor at the University of Pennsylvania (where he was also a professor of computer science from 1991 to 1994). From 1996 to 2001 he was Associate Director of the Institute for High Performance Computing and Applications and from 1997 to 2001 Co-Director of the Center for Computational Mathematics and Applications. Since 2001 he has been a professor at the University of Minnesota , from 2008 as McKnight Presidential Professor of Mathematics . From 2001 to 2008 he was director of the Institute of Mathematics and its Applications (IMA) there. Among other things, he was visiting professor in Oslo (Center of Mathematics for Applications), Pavia , the Mittag-Leffler-Institute , the Heriot-Watt-University , the Albert-Ludwigs-University Freiburg , the TH Darmstadt and the ETH Zurich .

Among other things, he dealt with finite elements in differential form calculus and with applications in general relativity (e.g. collision of black holes ) and elasticity theory (theory of plates and shells). His discrete version of the differential form calculus (developed from around 2002) is also used to investigate the stability of finite element solutions in problems with partial differential equations .

In 2008/09 he was a Guggenheim Fellow . He has been a SIAM Fellow since 2009 and was also President of the Society for Industrial and Applied Mathematics (SIAM) for 2009/2010 . In 2010 he was elected a Fellow of the American Association for the Advancement of Science . He is an external member of the Norwegian Academy of Sciences . In 2002 he gave a plenary lecture at the International Congress of Mathematicians (ICM) in Beijing (Differential Complexes and Numerical Stability). In 1991 he received the first Giovanni Sacchi Landriani Prize from the Lombard Academy of Sciences. He is a fellow of the American Mathematical Society .

He is co-writer with Jonathan Rogness of an award-winning film about Möbius transformations ( viewed over 1.5 million times on Youtube (2009)).

Web links

Individual evidence

  1. Douglas Arnold in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. ^ Arnold Finite element exterior calculus: from Hodge theory to numerical stability , Bulletin AMS, Volume 47, 2010, pp. 281-354
  3. ^ Fellows of the AAAS: Douglas Arnold. (No longer available online.) American Association for the Advancement of Science, archived from the original on January 24, 2018 ; accessed on January 24, 2018 . Info: The archive link was inserted automatically and has not yet been checked. Please check the original and archive link according to the instructions and then remove this notice. @1@ 2Template: Webachiv / IABot / www.aaas.org
  4. SIAM website for his video ( memento of the original from June 15, 2011 in the Internet Archive ) Info: The archive link was inserted automatically and has not yet been checked. Please check the original and archive link according to the instructions and then remove this notice. , Web link to the video ( Memento of the original from December 13, 2007 in the Internet Archive ) Info: The archive link was inserted automatically and has not yet been checked. Please check the original and archive link according to the instructions and then remove this notice. @1@ 2Template: Webachiv / IABot / www.siam.org @1@ 2Template: Webachiv / IABot / www.ima.umn.edu