Gravitational N-Body Simulations

Klappentext Unique coverage of numerical simulation of gravitational systems, including the mathematics for computational methods of the classical N-body problem. Zusammenfassung This book presents basic methods for numerical simulation of gravitational systems! demonstrating how to develop clear and elegant algorithms. It explains the fundamental mathematical tools needed to describe the dynamics of a large number of mutually attractive particles! and the techniques needed to model various known planetary and astrophysical phenomena. Inhaltsverzeichnis 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.

Zusammenfassung
This book presents basic methods for numerical simulation of gravitational systems, demonstrating how to develop clear and elegant algorithms. It explains the fundamental mathematical tools needed to describe the dynamics of a large number of mutually attractive particles, and the techniques needed to model various known planetary and astrophysical phenomena.

Inhalt
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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