Geodesic
Modified differential equations
Philippe Chartier1 ; Ernst Hairer2 ; Gilles Vilmart1, 2
1 INRIA Rennes, Campus de Beaulieu, 35042 Rennes-Cedex, France
2 Section de Mathématiques, Université de Genève, 2–4 rue du Lièvre, CH-1211 Genève 4, Switzerland
ESAIM. Proceedings, Tome 21 (2007), pp. 16-20.

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Motivated by the theory of modified differential equations (backward error analysis) an approach for the construction of high order numerical integrators that preserve geometric properties of the exact flow is developed. This summarises a talk presented in honour of Michel Crouzeix.
DOI : 10.1051/proc:072102

Philippe Chartier 1 ; Ernst Hairer 2 ; Gilles Vilmart 1, 2

1 INRIA Rennes, Campus de Beaulieu, 35042 Rennes-Cedex, France
2 Section de Mathématiques, Université de Genève, 2–4 rue du Lièvre, CH-1211 Genève 4, Switzerland 
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     author = {Philippe Chartier and Ernst Hairer and Gilles Vilmart},
     title = {Modified differential equations},
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Philippe Chartier; Ernst Hairer; Gilles Vilmart. Modified differential equations. ESAIM. Proceedings, Tome 21 (2007), pp. 16-20. doi : 10.1051/proc:072102. http://geodesic.mathdoc.fr/articles/10.1051/proc:072102/

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