Bona, Carles.
Elements of Numerical Relativity and Relativistic Hydrodynamics From Einstein' s Equations to Astrophysical Simulations / [electronic resource] : by Carles Bona, Carlos Palenzuela-Luque, Carles Bona-Casas. - Berlin, Heidelberg : Springer Berlin Heidelberg, 2009. - XIV, 214 pages with 108 illustrations online resource. - Lecture Notes in Physics, 783 0075-8450 ; . - Lecture Notes in Physics, 783 .
The 4D Spacetime -- The Evolution Formalism -- Free Evolution -- First-Order Hyperbolic Systems -- Numerical Methods -- Black Hole Simulations -- Matter Spacetimes.
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).
9783642011641
10.1007/978-3-642-01164-1 doi
Physics.
Computer science.
Mathematical physics.
Astrophysics.
Relativity (Physics).
Physics.
Relativity and Cosmology.
Numerical and Computational Methods.
Astrophysics.
Computational Science and Engineering.
Mathematical Methods in Physics.
QB980-991
523.1
Elements of Numerical Relativity and Relativistic Hydrodynamics From Einstein' s Equations to Astrophysical Simulations / [electronic resource] : by Carles Bona, Carlos Palenzuela-Luque, Carles Bona-Casas. - Berlin, Heidelberg : Springer Berlin Heidelberg, 2009. - XIV, 214 pages with 108 illustrations online resource. - Lecture Notes in Physics, 783 0075-8450 ; . - Lecture Notes in Physics, 783 .
The 4D Spacetime -- The Evolution Formalism -- Free Evolution -- First-Order Hyperbolic Systems -- Numerical Methods -- Black Hole Simulations -- Matter Spacetimes.
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).
9783642011641
10.1007/978-3-642-01164-1 doi
Physics.
Computer science.
Mathematical physics.
Astrophysics.
Relativity (Physics).
Physics.
Relativity and Cosmology.
Numerical and Computational Methods.
Astrophysics.
Computational Science and Engineering.
Mathematical Methods in Physics.
QB980-991
523.1