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Spectral Methods for Numerical Relativity [PDF]
Living 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
Philippe Grandclément, Jerome Novak
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Exploring New Physics Frontiers Through Numerical Relativity [PDF]
Living 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 +2 more
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Event and Apparent Horizon Finders for 3 + 1 Numerical Relativity [PDF]
Living Reviews in Relativity, 2007 Event and apparent horizons are key diagnostics for the presence and properties of black holes. In this article I review numerical algorithms and codes for finding event and apparent horizons in numerically-computed spacetimes, focusing on calculations ...
Thornburg J.
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Effective-One-Body Numerical-Relativity waveform model for Eccentric spin-precessing binary black hole coalescence [PDF]
Classical and quantum gravity, 2023 Waveform models are important to gravitational wave data analysis. People recently pay much attention to the waveform model construction for eccentric binary black hole (BBH) coalescence.
Xiaolin Liu +2 more
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Numerical Relativity as a New Tool for Fundamental Cosmology [PDF]
Physics, 2022 Advances in our understanding of the origin, evolution, and structure of the universe have long been driven by cosmological perturbation theory, model building, and effective field theory.
Anna Ijjas
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Initial Data for Numerical Relativity [PDF]
Living Reviews in Relativity, 2000 Initial data are the starting point for any numerical simulation. In the case of numerical relativity, Einstein's equations constrain our choices of these initial data.
Cook, Gregory B.
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Introduction to Numerical Relativity [PDF]
Frontiers in Astronomy and Space Sciences, 2020 Numerical Relativity is a multidisciplinary field including relativity, magneto-hydrodynamics, astrophysics and computational methods, among others, with the aim of solving numerically highly-dynamical, strong-gravity scenarios where no other ...
Carlos Palenzuela
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Cosmology using numerical relativity
Living Reviews in RelativityThis 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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Optimization of Finite-Differencing Kernels for Numerical Relativity Applications [PDF]
Journal of Low Power Electronics and Applications, 2018 A simple optimization strategy for the computation of 3D finite-differencing kernels on many-cores architectures is proposed. The 3D finite-differencing computation is split direction-by-direction and exploits two level of parallelism: in-core ...
Roberto Alfieri +3 more
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Some mathematical problems in numerical relativity [PDF]
, 2004 The main goal of numerical relativity is the long time simulation of highly nonlinear spacetimes that cannot be treated by perturbation theory. This involves analytic, computational and physical issues.
Babiuc, Maria +2 more
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