Gravitational N-body simulations: tools and algorithms
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 mut...
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge Univ. Press
2009
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| Edition: | Digital repr. with corr. |
| Series: | Cambridge monographs on mathematical physics
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| Subjects: | |
| Summary: | 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 |
| Item Description: | 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 |
| Physical Description: | XV, 413 S. graph. Darst. |
| ISBN: | 9780521121538 9780521432726 |
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Record in the Search Index
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| dewey-full | 521.1015118 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 521 - Celestial mechanics |
| dewey-raw | 521.1015118 |
| dewey-search | 521.1015118 |
| dewey-sort | 3521.1015118 |
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| discipline | Physik |
| edition | Digital repr. with corr. |
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| id | DE-604.BV040427649 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T00:23:50Z |
| institution | BVB |
| isbn | 9780521121538 9780521432726 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025280217 |
| oclc_num | 729947447 |
| open_access_boolean | |
| owner | DE-83 |
| owner_facet | DE-83 |
| physical | XV, 413 S. graph. Darst. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| series2 | Cambridge monographs on mathematical physics |
| spelling | Aarseth, Sverre J. 1934- Verfasser (DE-588)136395074 aut Gravitational N-body simulations tools and algorithms Sverre J. Aarseth Digital repr. with corr. Cambridge [u.a.] Cambridge Univ. Press 2009 XV, 413 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Cambridge monographs on mathematical physics 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 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 Celestial mechanics / Mathematical models Many-body problem / Approximation methods Many-body problem / Mathematical models Mathematisches Modell Vielteilchensystem (DE-588)4063491-7 gnd rswk-swf Vielteilchensystem (DE-588)4063491-7 s 1\p DE-604 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Aarseth, Sverre J. 1934- Gravitational N-body simulations tools and algorithms Celestial mechanics / Mathematical models Many-body problem / Approximation methods Many-body problem / Mathematical models Mathematisches Modell Vielteilchensystem (DE-588)4063491-7 gnd |
| subject_GND | (DE-588)4063491-7 |
| title | Gravitational N-body simulations tools and algorithms |
| title_auth | Gravitational N-body simulations tools and algorithms |
| title_exact_search | Gravitational N-body simulations tools and algorithms |
| title_full | Gravitational N-body simulations tools and algorithms Sverre J. Aarseth |
| title_fullStr | Gravitational N-body simulations tools and algorithms Sverre J. Aarseth |
| title_full_unstemmed | Gravitational N-body simulations tools and algorithms Sverre J. Aarseth |
| title_short | Gravitational N-body simulations |
| title_sort | gravitational n body simulations tools and algorithms |
| title_sub | tools and algorithms |
| topic | Celestial mechanics / Mathematical models Many-body problem / Approximation methods Many-body problem / Mathematical models Mathematisches Modell Vielteilchensystem (DE-588)4063491-7 gnd |
| topic_facet | Celestial mechanics / Mathematical models Many-body problem / Approximation methods Many-body problem / Mathematical models Mathematisches Modell Vielteilchensystem |
| work_keys_str_mv | AT aarsethsverrej gravitationalnbodysimulationstoolsandalgorithms |