Results 41 to 50 of about 1,893 (155)
Numerical Approaches to Spacetime Singularities
Living Reviews in Relativity, 2002 This Living Review updates a previous version which is itself an update of a review article. Numerical exploration of the properties of singularities could, in principle, yield detailed understanding of their nature in physically realistic cases ...
Berger Beverly K.
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A Novel Logarithmic Approach to General Relativistic Hydrodynamics in Dynamical Spacetimes
UniverseWe introduce a novel logarithmic approach within the Baumgarte–Shapiro–Shibata–Nakamura (BSSN) formalism for self-consistently solving the equations of general relativistic hydrodynamics (GRHD) in evolving curved spacetimes. This method employs a “3 + 1”
Mario Imbrogno +3 more
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Finding apparent horizons in numerical relativity [PDF]
Physical Review D, 1996 This paper presents a detailed discussion of the ``Newton's method'' algorithm for finding apparent horizons in 3+1 numerical relativity. We describe a method for computing the Jacobian matrix of the finite differenced $H(h)$ function by symbolically differentiating the finite difference equations, giving the Jacobian elements directly in terms of the ...
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Characteristic Evolution and Matching
Living Reviews in Relativity, 2005 I review the development of numerical evolution codes for general relativity based upon the characteristic initial value problem. Progress is traced from the early stage of 1D feasibility studies to 2D axisymmetric codes that accurately simulate the ...
Winicour Jeffrey
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Computational Cosmology: from the Early Universe to the Large Scale Structure
Living Reviews in Relativity, 2001 In order to account for the observable Universe, any comprehensive theory or model of cosmology must draw from many disciplines of physics, including gauge theories of strong and weak interactions, the hydrodynamics and microphysics of baryonic matter ...
Anninos Peter
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Particles, 2019 The gravitational wave and electromagnetic signatures connected to the merger of two neutron stars allow us to test the nature of matter at supranuclear densities.
Henrique Gieg +2 more
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Critical Phenomena in Gravitational Collapse
Living Reviews in Relativity, 1999 As first discovered by Choptuik, the black hole threshold in the space of initial data for general relativity shows both surprising structure and surprising simplicity.
Gundlach Carsten
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Performance-portable Numerical Relativity with AthenaK
The Astrophysical Journal Supplement SeriesWe present the numerical relativity module within AthenaK , an open-source performance-portable astrophysics code designed for exascale computing applications. This module employs the Z4c formulation to solve the Einstein equations.
Hengrui Zhu +8 more
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Numerical Hydrodynamics in Special Relativity
Living Reviews in Relativity, 2003 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 José Maria, Müller Ewald
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Approximate black holes for numerical relativity [PDF]
Physical Review D, 1996 Postscript, 2 ...
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