Gravitational N-Body Simulations
Tools and Algorithms
Series: Cambridge Monographs on Mathematical Physics;
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Product details:
- Publisher Cambridge University Press
- Date of Publication 23 October 2003
- ISBN 9780521432726
- Binding Hardback
- No. of pages430 pages
- Size 255x184x28 mm
- Weight 885 g
- Language English 0
Categories
Short description:
Unique coverage of numerical simulation of gravitational systems, including the mathematics for computational methods of the classical N-body problem.
MoreLong description:
This book discusses in detail all the relevant numerical methods for the classical N-body problem. It demonstrates how to develop clear and elegant algorithms for models of gravitational systems, 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 astrophysical phenomena such as close encounters and the dynamics of black hole binaries. The author reviews relevant work in the field and covers applications to the problems of planetary formation and star cluster dynamics, both of Pleiades type and globular clusters. Self-contained and pedagogical, this book is suitable for graduate students and researchers in theoretical physics, astronomy and cosmology.
Review of the hardback: 'Sverre's dogma of numerical accuracy combined with detailed testing and a deep understanding of the basic algorithmic form runs throughout this book. ... as a list of what you need to think about to perform direct N-Body simulations well, this book is excellent.' Contemporary Physics
Table of Contents:
Preface; 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; References; Index.
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