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Gravitational N-Body Simulations
Tools and Algorithms

$82.99 (C)

Part of Cambridge Monographs on Mathematical Physics

  • Date Published: October 2009
  • availability: Available
  • format: Paperback
  • isbn: 9780521121538

$ 82.99 (C)

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About the Authors
  • This self-contained book presents basic methods of numerical simulation of gravitational systems, with applications in astronomy and cosmology. The first half of the book presents and explains the fundamental mathematical tools needed to describe the dynamics of a large number of mutually attractive particles. Particular attention is given to the techniques needed to model known planetary and astrophysical phenomena such as Hubble motion. The second half of the book demonstrates how to develop clear and elegant algorithms for models of gravitational systems.

    • Unique coverage of the subject, including the mathematics for computational methods of the classical N-body problem
    • Algorithms for a wide range of problems in dynamical astronomy and cosmology
    • Review of direct N-body simulations with comprehensive bibliography
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    Reviews & endorsements

    "Within the N-body community the name of Sverre Aarseth is legendary. His pioneering approach to numerical simulation proved to be decades ahead of its time, as was his insistence on making his latest source code publicly a list of what you need to think about to perform direct N-body simulations well, this book is excellent."
    Contemporary Physics

    "... A distinctive presentation of the material for a book that is intended for graduate students (among others)."
    Phillip W. Sharp, Mathematical Reviews

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    Product details

    • Date Published: October 2009
    • format: Paperback
    • isbn: 9780521121538
    • length: 430 pages
    • dimensions: 244 x 170 x 22 mm
    • weight: 0.68kg
    • availability: Available
  • Table of Contents

    1. The N-body problem
    2. Predictor-corrector methods
    3. Neighbour treatments
    4. Two-body regularization
    5. Multiple regularization
    6. Tree codes
    7. Program organization
    8. Initial setup
    9. Decision-making
    10. Neighbour schemes
    11. Two-body algorithms
    12. Chain procedures
    13. Accuracy and performance
    14. Practical aspects
    15. Star clusters
    16. Galaxies
    17. Planetary systems
    18. Small-N experiments
    Appendix A. Global regularization algorithms
    Appendix B. Chain algorithms
    Appendix C. High-order systems
    Appendix D. Practical algorithms
    Appendix E. KS procedures with GRAPE
    Appendix F. Alternative simulation method
    Appendix G. Table of symbols
    Appendix H. Hermite integration method

  • Author

    Sverre J. Aarseth, University of Cambridge

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