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Spectral Methods for Numerical Relativity [PDF]
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
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Extraction of gravitational waves in numerical relativity. [PDF]
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.
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Exploring New Physics Frontiers Through Numerical Relativity [PDF]
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
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Numerical Hydrodynamics in Special Relativity [PDF]
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
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Numerical Hydrodynamics in General Relativity [PDF]
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.
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Cosmology using numerical 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
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Isolated and Dynamical Horizons and Their Applications [PDF]
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
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Initial Data for Numerical Relativity [PDF]
50 pages, LaTeX(livrev.cls), Review article for "Living Reviews in Relativity" (http://www.livingreviews.org/), July ...
Cook Greg
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Vistas in numerical relativity [PDF]
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.
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Numerical Relativity: A review [PDF]
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 ...
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