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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Unique coverage of numerical simulation of gravitational systems, including the mathematics for computational methods of the classical N-body problem.

Reviews

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

Review of the hardback: 'Gravitational N-Body Simulations is a masterful summary of computational techniques … written by Sverre Aarseth, a pioneer in the field … Aarseth's long-awaited book is a comprehensive historical survey of the field of N-body experimentation, as well as a 'user's manual' for his NBODY series of codes. … it is a pleasure to see [the material] presented here in such a complete and coherent fashion. … This book should be almost indispensable to N-body practitioners, especially (but not exclusively) those who use one of Aarseth's NBODY codes.' General Relativity and Gravitation