Gerhard Wanner
{{Short description|Austrian mathematician}}
Gerhard Wanner (born 1942 in Innsbruck)biographical preface to Wanner's article [https://archive-ouverte.unige.ch/unige:12274 Elementare Beweise des Satzes von Morley,] Elemente der Mathematik, vol. 59, 2004, p. 144. is an Austrian mathematician.
Education and career
Wanner grew up in Seefeld in Tirol and studied mathematics at the University of Innsbruck, where he received his doctorate in 1965 with advisor Wolfgang Gröbner and dissertation Ein Beitrag zur numerischen Behandlung von Randwertproblemen gewöhnlicher Differentialgleichungen (A contribution to the numerical treatment of boundary value problems of ordinary differential equations).{{MathGenealogy|id=79309}} He taught in Innsbruck and from 1973 at the University of Geneva.
Wanner's research deals with numerical analysis of ordinary differential equations (about which he wrote a two-volume monograph with Ernst Hairer). Wanner is the co-author of an analysis undergraduate textbook and a geometry undergraduate textbook, both of which give historically oriented explanations of mathematics.
In 2003 he was awarded, jointly with Ernst Hairer, the Peter Henrici Prize. In 2015 Wanner received SIAM's George Pólya Prize for Mathematical Exposition.{{cite web|title=George Pólya Prize for Mathematical Exposition|website=Society for Industrial and Applied Mathematics (SIAM)|url=https://www.siam.org/prizes-recognition/major-prizes-lectures/detail/george-polya-prize-for-mathematical-exposition}}
He was president of the Swiss Mathematical Society from 1998 to 1999.
Selected publications
=Articles=
- {{cite journal|last1=Hairer|first1=E.|last2=Wanner|first2=G.|title=Multistep-multistage-multiderivative methods for ordinary differential equations|journal=Computing|volume=11|issue=3|year=1973|pages=287–303|issn=0010-485X|doi=10.1007/BF02252917}}
- {{cite journal|last1=Hairer|first1=E.|last2=Wanner|first2=G.|title=A theory for Nyström methods|journal=Numerische Mathematik|volume=25|issue=4|year=1975|pages=383–400|issn=0029-599X|doi=10.1007/BF01396335}}
- {{cite journal|last1=Hairer|first1=E.|last2=Wanner|first2=G.|title=Algebraically Stable and Implementable Runge-Kutta Methods of High Order|journal=SIAM Journal on Numerical Analysis|volume=18|issue=6|year=1981|pages=1098–1108|issn=0036-1429|doi=10.1137/0718074}}
- {{cite journal|last1=Hairer|first1=Ernst|last2=Wanner|first2=Gerhard|title=Stiff differential equations solved by Radau methods|journal=Journal of Computational and Applied Mathematics|volume=111|issue=1–2|year=1999|pages=93–111|issn=0377-0427|doi=10.1016/S0377-0427(99)00134-X|doi-access=}}
- {{cite journal|author=Hairer, E.|author2=Lubich, C.|author3=Wanner, G.|year=2003|title=Geometric numerical integration illustrated by the Stormer-Verlet method|journal=Acta Numerica|volume=12|issue=12|pages=399–450|doi=10.1017/S0962492902000144|isbn=9780521825238|url=https://books.google.com/books?id=3KPvvp5NzrEC&pg=PA399}}
- {{cite journal|last1=Gander|first1=Martin J.|last2=Wanner|first2=Gerhard|title=From Euler, Ritz, and Galerkin to Modern Computing|journal=SIAM Review|volume=54|issue=4|year=2012|pages=627–666|issn=0036-1445|doi=10.1137/100804036|citeseerx=10.1.1.297.5697}}
=Books=
- with Ernst Hairer: {{cite book|title=L'analyse au fil de l'histoire|publisher=Springer|postscript=; x+372 pages|isbn=978-3-540-67463-4 |year=2001|url=https://books.google.com/books?id=aj6WpC1g_tQC}}
- {{cite book|title=Analysis by Its History|year=2008|isbn=9780387770314|url=https://books.google.com/books?id=Kzp4zPIL8B0C|last1=Hairer|first1=Ernst|last2=Wanner|first2=Gerhard}}
- {{cite book|title=Analysis in der historischen Entwicklung|publisher=Springer|location=Berlin/Heidelberg|year=2011|isbn=978-3-642-13766-2}}
- with Alexander Ostermann: [https://books.google.com/books?id=eOSqPHwWJX8C Geometry by Its History.] Springer, Berlin/Heidelberg 2012, {{ISBN|978-3-642-29162-3}}.{{cite web|author=Hunacek, Mark|date=13 June 2012|title=Review of Geometry by Its History by Alexander Ostermann and Gerhard Wanner|website=MAA Reviews, Mathematical Association of America|url=https://www.maa.org/press/maa-reviews/geometry-by-its-history}}
- with Ernst Hairer and Christian Lubich: {{cite book|title=Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations|year=2002}} 2nd edition. Springer, Berlin/Heidelberg 2010, {{ISBN|978-3-642-05157-9}}. [https://books.google.com/books?id=cPTxCAAAQBAJ pbk reprint]
- with Ernst Hairer and Sylvert Nørsett: {{cite book|title=Solving Ordinary Differential Equations I. Nonstiff Problems|edition=1st|year=1987}} {{cite book|title=Revised 2nd edition|year=1993|isbn=9783540566700 |url=https://books.google.com/books?id=F93u7VcSRyYC|last1=Hairer |first1=Ernst |last2=Nørsett |first2=Syvert P. |last3=Wanner |first3=Gerhard }} 3rd corrected printing. Springer, Berlin/Heidelberg 2009, {{ISBN|978-3-642-05163-0}}.
- with Ernst Hairer and Sylvert Nørsett: {{cite book|title=Solving Ordinary Differential Equations II. Stiff and Differential-Algebraic Problems|edition=1st|year=1991}} 2nd edition. Springer, Berlin/Heidelberg 1996, {{ISBN|978-3-642-05220-0}}. [https://books.google.com/books?id=NGvrCAAAQBAJ 2013 pbk reprint]
- Integration gewöhnlicher Differentialgleichungen: Lie-Reihen (mit Programmen), Runge-Kutta-Methoden. BI-Hochschultaschenbücher. Bibliographisches Institut, Mannheim/Zürich 1969.
References
External links
- [https://www.unige.ch/~wanner/ Homepage]
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Category:Austrian mathematicians
Category:University of Innsbruck alumni