LEADER 03842nam 2200673Ia 450 001 9910143094703321 005 20200520144314.0 010 $a1-280-38488-3 010 $a9786613562807 010 $a3-642-01164-0 024 7 $a10.1007/978-3-642-01164-1 035 $a(CKB)1000000000773092 035 $a(SSID)ssj0000317385 035 $a(PQKBManifestationID)11240604 035 $a(PQKBTitleCode)TC0000317385 035 $a(PQKBWorkID)10289344 035 $a(PQKB)10761507 035 $a(DE-He213)978-3-642-01164-1 035 $a(MiAaPQ)EBC3064405 035 $a(PPN)136309992 035 $a(EXLCZ)991000000000773092 100 $a20090922d2009 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aElements of numerical relativity and relativistic hydrodynamics $efrom Einstein's equations to astrophysical simulations /$fC. Bona, C. Palenzuela-Luque, C. Bona-Casas 205 $a2nd ed. 210 $aBerlin ;$aHeidelberg $cSpringer-Verlag$dc2009 215 $a1 online resource (XIV, 214 p. 108 illus.) 225 1 $aLecture notes in physics ;$v[783] 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-642-24250-2 311 $a3-642-01163-2 320 $aIncludes bibliographical references and index. 327 $aThe 4D Spacetime -- The Evolution Formalism -- Free Evolution -- First-Order Hyperbolic Systems -- Numerical Methods -- Black Hole Simulations -- Matter Spacetimes. 330 $aMany large-scale projects for detecting gravitational radiation are currently being developed, all with the aim of opening a new window onto the observable Universe. As a result, numerical relativity has recently become a major field of research, and Elements of Numerical Relativity and Relativistic Hydrodynamics is a valuable primer for both graduate students and non-specialist researchers wishing to enter the field. A revised and significantly enlarged edition of LNP 673 Elements of Numerical Relativity, this book starts with the most basic insights and aspects of numerical relativity before it develops coherent guidelines for the reliable and convenient selection of each of the following key aspects: evolution formalism; gauge, initial, and boundary conditions; and various numerical algorithms. And in addition to many revisions, it includes new, convenient damping terms for numerical implementations, a presentation of the recently-developed harmonic formalism, and an extensive, new chapter on matter space-times, containing a thorough introduction to relativistic hydrodynamics. While proper reference is given to advanced applications requiring large computational resources, most tests and applications in this book can be performed on a standard PC. From the Reviews of the 1st edition I am glad to recommend this book to anyone interested in an introduction into this field." Bela Szilagyi, (Mathematical Reviews, Issue 2007 b). 410 0$aLecture notes in physics ;$v[783]. 606 $aEinstein field equations$xNumerical solutions 606 $aEvolution equations$xNumerical solutions 606 $aRelativity (Physics) 606 $aSpace and time$xMathematics 615 0$aEinstein field equations$xNumerical solutions. 615 0$aEvolution equations$xNumerical solutions. 615 0$aRelativity (Physics) 615 0$aSpace and time$xMathematics. 676 $a530.11 686 $aUD 8220$2rvk 700 $aBona$b Carles 701 $aBona-Casas$b C$g(Carles)$01752406 701 $aPalenzuela-Luque$b Carlos$0292468 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910143094703321 996 $aElements of numerical relativity and relativistic hydrodynamics$94187681 997 $aUNINA