Gerhard Wanner Explained

Gerhard Wanner (born 1942 in Innsbruck)^[1] 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). 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.^[2]

He was president of the Swiss Mathematical Society from 1998 to 1999.

Selected publications

Articles

• Hairer. E.. Wanner. G.. Multistep-multistage-multiderivative methods for ordinary differential equations. Computing. 11. 3. 1973. 287–303. 0010-485X. 10.1007/BF02252917.
• Hairer. E.. Wanner. G.. A theory for Nyström methods. Numerische Mathematik. 25. 4. 1975. 383–400. 0029-599X. 10.1007/BF01396335.
• Hairer. E.. Wanner. G.. Algebraically Stable and Implementable Runge-Kutta Methods of High Order. SIAM Journal on Numerical Analysis. 18. 6. 1981. 1098–1108. 0036-1429. 10.1137/0718074.
• Hairer. Ernst. Wanner. Gerhard. Stiff differential equations solved by Radau methods. Journal of Computational and Applied Mathematics. 111. 1–2. 1999. 93–111. 0377-0427. 10.1016/S0377-0427(99)00134-X.
• Hairer, E.. Lubich, C.. Wanner, G.. 2003. Geometric numerical integration illustrated by the Stormer-Verlet method. Acta Numerica. 12. 12. 399–450. 10.1017/S0962492902000144. 9780521825238.
• Gander. Martin J.. Wanner. Gerhard. From Euler, Ritz, and Galerkin to Modern Computing. SIAM Review. 54. 4. 2012. 627–666. 0036-1445. 10.1137/100804036. 10.1.1.297.5697.

Books

• with Ernst Hairer: Book: L'analyse au fil de l'histoire. Springer.

  x+372 pages

  . 978-3-540-67463-4 . 2001.
  • Book: Analysis by Its History. 2008. 9780387770314. Hairer. Ernst. Wanner. Gerhard.
  • Book: Analysis in der historischen Entwicklung. Springer. Berlin/Heidelberg. 2011. 978-3-642-13766-2.
• with Alexander Ostermann: Geometry by Its History. Springer, Berlin/Heidelberg 2012, .^[3]
• with Ernst Hairer and Christian Lubich: Book: Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations. 2002. 2nd edition. Springer, Berlin/Heidelberg 2010, . pbk reprint
• with Ernst Hairer and Sylvert Nørsett: Book: Solving Ordinary Differential Equations I. Nonstiff Problems. 1st. 1987. Book: Revised 2nd edition. 1993. 9783540566700 . Hairer . Ernst . Nørsett . Syvert P. . Wanner . Gerhard . 3rd corrected printing. Springer, Berlin/Heidelberg 2009, .
• with Ernst Hairer and Sylvert Nørsett: Book: Solving Ordinary Differential Equations II. Stiff and Differential-Algebraic Problems. 1st. 1991. 2nd edition. Springer, Berlin/Heidelberg 1996, . 2013 pbk reprint
• Integration gewöhnlicher Differentialgleichungen: Lie-Reihen (mit Programmen), Runge-Kutta-Methoden. BI-Hochschultaschenbücher. Bibliographisches Institut, Mannheim/Zürich 1969.

References

1. biographical preface to Wanner's article Elementare Beweise des Satzes von Morley, Elemente der Mathematik, vol. 59, 2004, p. 144.
2. Web site: George Pólya Prize for Mathematical Exposition. Society for Industrial and Applied Mathematics (SIAM).
3. Web site: Hunacek, Mark. 13 June 2012. Review of Geometry by Its History by Alexander Ostermann and Gerhard Wanner. MAA Reviews, Mathematical Association of America.

External links

• Homepage