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The method of the doubly individual step for N-body computations

Part of the Lecture Notes in Mathematics book series (LNM,volume 362)

Abstract

It is possible to reduce the computation time in the numerical integration of N-body gravitational problem by introducing an individual and variable step, but also by recalculating the force which act on a star only when this force has experienced a significant change. To do so, an individual time scale is introduced for each force.

Forces are classified into categories and each category has its own time scale. Time is noted in a numeration system with base b. Stars are also grouped into categories in such a way that, at a given time one knows, without keeping in the computer's memory and without comparing the 1/2N (N − 1) forces which act between the stars, what forces must be recomputed.

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References

  1. A. Hayli, Astrophys. and Space Sciences, 13, 1971, 309

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  2. M. Lecar, Bull. Astron. (3) 3, 91

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  3. A. Ahmad and L. Cohen, To be published

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© 1974 Springer-Verlag

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Hayli, A. (1974). The method of the doubly individual step for N-body computations. In: Bettis, D.G. (eds) Proceedings of the Conference on the Numerical Solution of Ordinary Differential Equations. Lecture Notes in Mathematics, vol 362. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066598

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  • DOI: https://doi.org/10.1007/BFb0066598

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06602-6

  • Online ISBN: 978-3-540-37911-9

  • eBook Packages: Springer Book Archive