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Kepler, Newton and numerical analysis

Published online by Cambridge University Press:  10 May 2010

G. Wanner
G. Wanner
Affiliation:
University of Geneva, Section de Mathématiques, CP 64, CH-1211 Genève 4, Switzerland, E-mail: Gerhard.Wanner@unige.ch
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Extract

Numerical methods are usually constructed for solving mathematical problems such as differential equations or optimization problems. In this contribution we discuss the fact that numerical methods, applied inversely, were also important in establishing these models. We show in detail the discovery of the laws of planetary motion by Kepler and Newton, which stood at the beginning of modern science. The 400th anniversary of the publication of Kepler's laws (1609) is a good occasion for this investigation.

Type
Research Article
Information
Acta Numerica , Volume 19 , May 2010 , pp. 561 - 598
Copyright
Copyright © Cambridge University Press 2010

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References

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