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Book Cover
E-book
Author Bona, Carles.

Title Elements of numerical relativity and relativistic hydrodynamics : from Einstein's equations to astrophysical simulations / C. Bona, C. Palenzuela-Luque, C. Bona-Casas
Edition 2nd ed
Published Berlin ; Heidelberg : Springer-Verlag, ©2009

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Description 1 online resource (xiv, 214 pages) : illustrations
Series Lecture notes in physics, 1616-6361 ; [783]
Lecture notes in physics ; 783. 0075-8450
Contents The 4D Spacetime -- The Evolution Formalism -- Free Evolution -- First-Order Hyperbolic Systems -- Numerical Methods -- Black Hole Simulations -- Matter Spacetimes
Summary Many 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)
Analysis fysica
physics
numerieke methoden
numerical methods
computational science
astronomie
astronomy
toegepaste wiskunde
applied mathematics
Physics (General)
Fysica (algemeen)
Bibliography Includes bibliographical references and index
Notes Print version record
Subject Relativity (Physics)
Space and time -- Mathematics
Evolution equations -- Numerical solutions.
Einstein field equations -- Numerical solutions.
Space and time -- Mathematics.
Evolution equations -- Numerical solutions.
Einstein field equations -- Numerical solutions.
Relativity (Physics)
Physique.
Einstein field equations -- Numerical solutions
Evolution equations -- Numerical solutions
Relativity (Physics)
Space and time -- Mathematics
Form Electronic book
Author Palenzuela-Luque, Carlos.
Bona-Casas, C. (Carles)
ISBN 9783642011641
3642011640