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Elements Of Numerical Relativity And Relativistic Hydrodynamics


Elements Of Numerical Relativity And Relativistic Hydrodynamics
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Elements Of Numerical Relativity And Relativistic Hydrodynamics


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.



Relativistic Hydrodynamics


Relativistic Hydrodynamics
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Author : Luciano Rezzolla
language : en
Publisher: Oxford University Press, USA
Release Date : 2013-09-26

Relativistic Hydrodynamics written by Luciano Rezzolla and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-26 with Mathematics categories.


This book provides an up-to-date, lively and approachable introduction to the mathematical formalism, numerical techniques and applications of relativistic hydrodynamics. The topic is presented here in a form which will be appreciated both by students and researchers in the field.



Elements Of Numerical Relativity


Elements Of Numerical Relativity
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Author : Carles Bona
language : en
Publisher: Springer
Release Date : 2009-09-02

Elements Of Numerical Relativity written by Carles Bona and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-02 with Science categories.


Spurred by the current development of numerous large-scale projects for detecting gravitational radiation, with the aim to open a completely new window to the observable Universe, numerical relativity has become a major field of research over the past years. Indeed, numerical relativity is the standard approach when studying potential sources of gravitational waves, where strong fields and relativistic velocities are part of any physical scenario. This book can be considered a primer for both graduate students and non-specialist researchers wishing to enter the field. Starting from the most basic insights and aspects of numerical relativity, Elements of Numerical Relativity develops coherent guidelines for the reliable and convenient selection of each of the following key aspects: evolution formalism, gauge, initial and boundary conditions as well as various numerical algorithms. The tests and applications proposed in this book can be performed on a standard PC.



Numerical Relativity Starting From Scratch


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.



Handbook Of Gravitational Wave Astronomy


Handbook Of Gravitational Wave Astronomy
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Author : Cosimo Bambi
language : en
Publisher: Springer Nature
Release Date : 2022-07-02

Handbook Of Gravitational Wave Astronomy written by Cosimo Bambi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-02 with Science categories.


This handbook provides an updated comprehensive description of gravitational wave astronomy. In the first part, it reviews gravitational wave experiments, from ground and space based laser interferometers to pulsar timing arrays and indirect detection from the cosmic microwave background. In the second part, it discusses a number of astrophysical and cosmological gravitational wave sources, including black holes, neutron stars, possible more exotic objects, and sources in the early Universe. The third part of the book reviews the methods to calculate gravitational waveforms. The fourth and last part of the book covers techniques employed in gravitational wave astronomy data analysis. This book represents both a valuable resource for graduate students and an important reference for researchers in gravitational wave astronomy.



Dynamical Spacetimes And Numerical Relativity


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.




Numerical Relativity


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.



Rotating Relativistic Stars


Rotating Relativistic Stars
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Author : John L. Friedman
language : en
Publisher: Cambridge University Press
Release Date : 2013-02-11

Rotating Relativistic Stars written by John L. Friedman 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 2013-02-11 with Science categories.


This volume pulls together more than forty years of research to provide graduate students and researchers in astrophysics, gravitational physics, and astronomy with the first self-contained treatment of the structure, stability, and oscillations of rotating neutron stars.



Studying Compact Star Equation Of States With General Relativistic Initial Data Approach


Studying Compact Star Equation Of States With General Relativistic Initial Data Approach
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Author : Enping Zhou
language : en
Publisher: Springer Nature
Release Date : 2020-04-03

Studying Compact Star Equation Of States With General Relativistic Initial Data Approach written by Enping Zhou and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-03 with Science categories.


This book focuses on the equation of state (EoS) of compact stars, particularly the intriguing possibility of the “quark star model.” The EoS of compact stars is the subject of ongoing debates among astrophysicists and particle physicists, due to the non-perturbative property of strong interaction at low energy scales. The book investigates the tidal deformability and maximum mass of rotating quark stars and triaxially rotating quark stars, and compares them with those of neutron stars to reveal significant differences. Lastly, by combining the latest observations of GW170817, the book suggests potential ways to distinguish between the neutron star and quark star models.



Numerical Methods For Hyperbolic Equations


Numerical Methods For Hyperbolic Equations
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Author : Elena Vázquez-Cendón
language : en
Publisher: CRC Press
Release Date : 2012-11-05

Numerical Methods For Hyperbolic Equations written by Elena Vázquez-Cendón and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-05 with Mathematics categories.


Numerical Methods for Hyperbolic Equations is a collection of 49 articles presented at the International Conference on Numerical Methods for Hyperbolic Equations: Theory and Applications (Santiago de Compostela, Spain, 4-8 July 2011). The conference was organized to honour Professor Eleuterio Toro in the month of his 65th birthday. The topics cover