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Spectral Methods for Numerical Relativity [PDF]

open access: yesLiving Reviews in Relativity, 2009
Equations arising in general relativity are usually too complicated to be solved analytically and one must rely on numerical methods to solve sets of coupled partial differential equations. Among the possible choices, this paper focuses on a class called
Grandclément Philippe, Novak Jérôme
doaj   +8 more sources

Extraction of gravitational waves in numerical relativity. [PDF]

open access: yesLiving Rev Relativ, 2016
A numerical-relativity calculation yields in general a solution of the Einstein equations including also a radiative part, which is in practice computed in a region of finite extent. Since gravitational radiation is properly defined only at null infinity
Bishop NT, Rezzolla L.
europepmc   +5 more sources

Exploring New Physics Frontiers Through Numerical Relativity [PDF]

open access: yesLiving Reviews in Relativity, 2015
The demand to obtain answers to highly complex problems within strong-field gravity has been met with significant progress in the numerical solution of Einstein’s equations – along with some spectacular results – in various setups.
Vitor Cardoso   +3 more
doaj   +4 more sources

Numerical Hydrodynamics in Special Relativity [PDF]

open access: yesLiving Reviews in Relativity, 1999
This review is concerned with a discussion of numerical methods for the solution of the equations of special relativistic hydrodynamics (SRHD). Particular emphasis is put on a comprehensive review of the application of high-resolution shock-capturing ...
Martí Jose Maria, Müller Ewald
doaj   +12 more sources

Numerical Hydrodynamics in General Relativity [PDF]

open access: yesLiving Reviews in Relativity, 2000
The current status of numerical solutions for the equations of ideal general relativistic hydrodynamics is reviewed. Different formulations of the equations are presented, with special mention of conservative and hyperbolic formulations well-adapted to ...
Font José A.
doaj   +9 more sources

Cosmology using numerical relativity

open access: yesLiving Reviews in Relativity
This review is an up-to-date account of the use of numerical relativity to study dynamical, strong-gravity environments in a cosmological context. First, we provide a gentle introduction into the use of numerical relativity in solving cosmological ...
Josu C. Aurrekoetxea   +2 more
doaj   +6 more sources

Isolated and Dynamical Horizons and Their Applications [PDF]

open access: yesLiving Reviews in Relativity, 2004
Over the past three decades, black holes have played an important role in quantum gravity, mathematical physics, numerical relativity and gravitational wave phenomenology.
Ashtekar Abhay, Krishnan Badri
doaj   +4 more sources

Initial Data for Numerical Relativity [PDF]

open access: yesLiving Reviews in Relativity, 2000
50 pages, LaTeX(livrev.cls), Review article for "Living Reviews in Relativity" (http://www.livingreviews.org/), July ...
Cook Greg
doaj   +7 more sources

Vistas in numerical relativity [PDF]

open access: yesBlack Hole Astrophysics 2002, 2002
Upcoming gravitational wave-experiments promise a window for discovering new physics in astronomy. Detection sensitivity of the broadband laser interferometric detectors LIGO/VIRGO may be enhanced by matched filtering with accurate wave-form templates ...
van Putten, Maurice H. P. M.
core   +4 more sources

Numerical Relativity: A review [PDF]

open access: yesClassical and Quantum Gravity, 2001
Computer simulations are enabling researchers to investigate systems which are extremely difficult to handle analytically. In the particular case of General Relativity, numerical models have proved extremely valuable for investigations of strong field ...
  +166 more
core   +5 more sources

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