Numerical Relativity
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Numerical Relativity
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Author : Thomas W. Baumgarte
language : en
Publisher: Cambridge University Press
Release Date : 2010-06-24
Numerical Relativity written by Thomas W. Baumgarte and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-24 with Mathematics categories.
Pedagogical introduction to numerical relativity for students and researchers entering the field, and interested scientists.
Numerical Relativity
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Author : Masaru Shibata
language : en
Publisher: World Scientific
Release Date : 2015-11-05
Numerical Relativity written by Masaru Shibata and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-05 with Science categories.
This book is composed of two parts: First part describes basics in numerical relativity, that is, the formulations and methods for a solution of Einstein's equation and general relativistic matter field equations. This part will be helpful for beginners of numerical relativity who would like to understand the content of numerical relativity and its background. The second part focuses on the application of numerical relativity. A wide variety of scientific numerical results are introduced focusing in particular on the merger of binary neutron stars and black holes.
Numerical Relativity
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Author : Thomas W. Baumgarte
language : en
Publisher: Cambridge University Press
Release Date : 2010-06-24
Numerical Relativity written by Thomas W. Baumgarte and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-24 with Science categories.
Aimed at students and researchers entering the field, this pedagogical introduction to numerical relativity will also interest scientists seeking a broad survey of its challenges and achievements. Assuming only a basic knowledge of classical general relativity, the book develops the mathematical formalism from first principles, and then highlights some of the pioneering simulations involving black holes and neutron stars, gravitational collapse and gravitational waves. The book contains 300 exercises to help readers master new material as it is presented. Numerous illustrations, many in color, assist in visualizing new geometric concepts and highlighting the results of computer simulations. Summary boxes encapsulate some of the most important results for quick reference. Applications covered include calculations of coalescing binary black holes and binary neutron stars, rotating stars, colliding star clusters, gravitational and magnetorotational collapse, critical phenomena, the generation of gravitational waves, and other topics of current physical and astrophysical significance.
Numerical Relativity Starting From Scratch
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Author : Thomas W. Baumgarte
language : en
Publisher: Cambridge University Press
Release Date : 2021-04-08
Numerical Relativity Starting From Scratch written by Thomas W. Baumgarte and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-08 with Mathematics categories.
A pedagogical and accessible introduction to numerical relativity, the key tool to model gravitational waves and black hole mergers.
Frontiers In Numerical Relativity
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Author : Charles R. Evans
language : en
Publisher: Cambridge University Press
Release Date : 1989-04-13
Frontiers In Numerical Relativity written by Charles R. Evans and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-04-13 with Mathematics categories.
This 1989 text will be of value to those who wish to understand developments in computer studies of general relativity at the time of publication.
Dynamical Spacetimes And Numerical Relativity
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Author : Joan M. Centrella
language : en
Publisher: CUP Archive
Release Date : 1986-09-18
Dynamical Spacetimes And Numerical Relativity written by Joan M. Centrella and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-09-18 with Science categories.
Introduction To 3 1 Numerical Relativity
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Author : Miguel Alcubierre
language : en
Publisher: OUP Oxford
Release Date : 2008-04-10
Introduction To 3 1 Numerical Relativity written by Miguel Alcubierre and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-10 with Science categories.
This book introduces the modern field of 3+1 numerical relativity. The book has been written in a way as to be as self-contained as possible, and only assumes a basic knowledge of special relativity. Starting from a brief introduction to general relativity, it discusses the different concepts and tools necessary for the fully consistent numerical simulation of relativistic astrophysical systems, with strong and dynamical gravitational fields. Among the topics discussed in detail are the following: the initial data problem, hyperbolic reductions of the field equations, gauge conditions, the evolution of black hole space-times, relativistic hydrodynamics, gravitational wave extraction and numerical methods. There is also a final chapter with examples of some simple numerical space-times. The book is aimed at both graduate students and researchers in physics and astrophysics, and at those interested in relativistic astrophysics.
Elements Of Numerical Relativity And Relativistic Hydrodynamics
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Author : Carles Bona
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-07-24
Elements Of Numerical Relativity And Relativistic Hydrodynamics written by Carles Bona and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-24 with Science categories.
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.
Problems Of Collapse And Numerical Relativity
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Author : D. Bancel
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Problems Of Collapse And Numerical Relativity written by D. Bancel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
Proceedings of the NATO Advanced Research Workshop, Toulouse, France, November 7-11, 1983
Scalar Fields In Numerical General Relativity
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Author : Katy Clough
language : en
Publisher: Springer
Release Date : 2018-06-16
Scalar Fields In Numerical General Relativity written by Katy Clough and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-16 with Science categories.
This book explores the use of numerical relativity (NR) methods to solve cosmological problems, and describes one of the first uses of NR to study inflationary physics. NR consists in the solution of Einstein’s Equation of general relativity, which governs the evolution of matter and energy on cosmological scales, and in systems where there are strong gravitational effects, such as around black holes. To date, NR has mainly been used for simulating binary black hole and neutron star mergers like those detected recently by LIGO. Its use as a tool in fundamental problems of gravity and cosmology is novel, but rapidly gaining interest. In this thesis, the author investigates the initial condition problem in early universe cosmology – whether an inflationary expansion period could have “got going” from initially inhomogeneous conditions – and identifies criteria for predicting the robustness of particular models. State-of-the-art numerical relativity tools are developed in order to address this question, which are now publicly available.