{"product_id":"approaches-to-numerical-relativity-paperback-9780521017350","title":"Approaches to Numerical Relativity (Paperback) 9780521017350","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eApproaches to Numerical Relativity\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eContributions by leading workers in the field given at an international workshop on Numerical Relativity held in Southampton in December 1991.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eRay d'Inverno (Edited by)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521017350, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 7 July 2005\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e400 pages, 108 b\/w illus.  7 tables\u003cbr\u003e24.5 x 17.1 x 2.3 cm, 0.64 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis volume includes contributions by leading workers in the field given at the workshop on Numerical Relativity held in Southampton in December 1991. Numerical Relativity, or the numerical solution of astrophysical problems using powerful computers to solve Einstein's equations, has grown rapidly over the last 15 years. It is now an important route to understanding the structure of the Universe, and is the only route currently available for approaching certain important astrophysical scenarios. The Southampton meeting was notable for the first full report of the new 2+2 approach and the related null or characteristic approaches, as well as for updates on the established 3+1 approach, including both Newtonian and fully relativistic codes. The contributions range from theoretical (formalisms, existence theorems) to the computational (moving grids, multiquadrics and spectral methods).\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eIntroduction Ray d'Inverno\u003cbr\u003e Preface C. J. S. Clarke\u003cbr\u003e Part I. Theoretical Approaches: 1. Numerical relativity on a transputer array Ray d'Inverno\u003cbr\u003e 2. Some aspects of the characteristic initial value problem in numerical relativity Nigel Bishop\u003cbr\u003e 3. The characteristic initial value problem in general relativity J. M. Stewart\u003cbr\u003e 4. Algebraic approachs to the characteristic initial value problem in general relativity Jõrg Frauendiener\u003cbr\u003e 5. On hyperboidal hypersurfaces Helmut Friedrich\u003cbr\u003e 6. The initial value problem on null cones J. A. Vickers\u003cbr\u003e 7. Introduction to dual-null dynamics S. A. Hayward\u003cbr\u003e 8. On colliding plane wave space-times J. B. Griffiths\u003cbr\u003e 9. Boundary conditions for the momentum constraint Niall O Murchadha\u003cbr\u003e 10. On the choice of matter model in general relativity A. D. Rendall\u003cbr\u003e 11. A mathematical approach to numerical relativity J. W. Barrett\u003cbr\u003e 12. Making sense of the effects of rotation in general relativity J. C. Miller\u003cbr\u003e 13. Stability of charged boson stars and catastrophe theory Franz E. Schunck, Fjodor V. Kusmartsev and Eckehard W. Mielke\u003cbr\u003e Part II. Practical Approaches: 14. Numerical asymptotics R. Gómez and J. Winicour\u003cbr\u003e 15. Instabilities in rapidly rotating polytropes Scott C. Smith and Joan M. Centrella\u003cbr\u003e 16. Gravitational radiation from coalescing binary neutron stars Ken-Ichi Oohara and Takashi Nakamura\u003cbr\u003e 17. 'Critical' behaviour in massless scalar field collapse M. W. Choptuik\u003cbr\u003e 18. Goudunov-type methods applied to general relativistic gravitational collapse José Ma. Ibánez, José Ma. Martí, Juan A. Miralles and J. V. Romero\u003cbr\u003e 19. Astrophysical sources of gravitational waves and neutrinos Silvano Bonazzola, Eric Gourgoulhon, Pawel Haensel and Jean-Alain Marck\u003cbr\u003e 20. Gravitational radiation from triaxial core collapse Jean-Alain Marck and Silvano Bonazzola\u003cbr\u003e 21. A vacuum fully relativistic 3D numerical code C. Bona and J. Massó\u003cbr\u003e 22. Solution of elliptic equations in numerical relativity using multiquadrics M. R. Dubal, S. R. Oliveira and R. A. Matzner\u003cbr\u003e 23. Self-gravitating thin disks around rotating black holes A. Lanza\u003cbr\u003e 24. An ADI and causal reconnection Gabrielle D. Allen and Bernard F. Schutz\u003cbr\u003e 25. Time-symmetric ADI and causal reconnection Miguel Alcubierre and Bernard F. Schutz\u003cbr\u003e 26. The numerical study of topological defects E. P. S. Shellard\u003cbr\u003e 27. Computations of bubble growth during the cosmological quark-hadron transition J. C. Miller and O. Pantano\u003cbr\u003e 28. Initial data of axisymmetric gravitational waves with a cosmological constant Ken-Ichi Nakao, Kei-Ichi Maeda, Takashi Nakamura and Ken-Ichi Oohara.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Relativity physics [\u003ca title=\"See our other books on Relativity physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Relativity%20physics%20%5BPHR%5D%22\"\u003ePHR\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46006150791448,"sku":"9780521017350","price":41.48,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521017350i_aa5b1126-6de6-4273-9f42-8d3971619479.jpg?v=1691376722","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/approaches-to-numerical-relativity-paperback-9780521017350","provider":"Freshly Printed Books","version":"1.0","type":"link"}