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