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Kepler, Newton and numerical analysis

Wanner, G.

In: Acta Numerica, 2010, vol. 19, p. 561-598

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    Titel
    • Kepler, Newton and numerical analysis
    Autor
    • Wanner, G.. University of Geneva, Section de Mathématiques, CP 64, CH-1211 Genève 4, Switzerland, E-mail: Gerhard.Wanner@unige.ch
    Dokumententyp
    • Postprint
    Klassifikation
    • Gesundheit
    OAI-PMH-ID
    • oai:doc.rero.ch:293785
    Summary
    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