The details are presented of a new evolution algorithm for the characteristic initial-boundary value problem based upon an affine parameter rather than the areal radial coordinate used in the Bondi-Sachs formulation. The advantages over the Bondi-Sachs version are discussed, with particular emphasis on the application to the characteristic extraction of the gravitational waveform from Cauchy simulations of general relativistic astrophysical systems
I review the development of numerical evolution codes for general relativity based upon the characte...
We review recent efforts to re-formulate the Einstein equations for fully relativistic numerical sim...
We present a high-order scheme for solving the full non-linear Einstein equations on characteristic ...
The details are presented of a new evolution algorithm for the characteristic initial-boundary value...
A new evolution algorithm for the characteristic initial value problem based upon an affine paramete...
The Bondi-Sachs formalism of General Relativity is a metric-based treatment of the Einstein equation...
The correct modeling of gravitational radiation is a key requirement for a meaningful detection and ...
The work in this thesis concerns numerical evolution of the equations of General Relativity. The mo...
A recent mathematical technique for nonlinear hyperbolic systems, maximally dissipative boundary con...
The observational approach to cosmology is the endeavour to reconstruct the geometry of the Universe...
The principle part of Einstein equations in the harmonic gauge consists of a constrained system of 1...
The structure of the full Einstein equations in a coordinate gauge based on expanding null hypersurf...
We consider an approach to the hyperboloidal evolution problem based on the Einstein equations writt...
International audienceThe definition of well-behaved coordinate charts for black hole spacetimes can...
The definition of well-behaved coordinate charts for black hole spacetimes can be tricky, as they ca...
I review the development of numerical evolution codes for general relativity based upon the characte...
We review recent efforts to re-formulate the Einstein equations for fully relativistic numerical sim...
We present a high-order scheme for solving the full non-linear Einstein equations on characteristic ...
The details are presented of a new evolution algorithm for the characteristic initial-boundary value...
A new evolution algorithm for the characteristic initial value problem based upon an affine paramete...
The Bondi-Sachs formalism of General Relativity is a metric-based treatment of the Einstein equation...
The correct modeling of gravitational radiation is a key requirement for a meaningful detection and ...
The work in this thesis concerns numerical evolution of the equations of General Relativity. The mo...
A recent mathematical technique for nonlinear hyperbolic systems, maximally dissipative boundary con...
The observational approach to cosmology is the endeavour to reconstruct the geometry of the Universe...
The principle part of Einstein equations in the harmonic gauge consists of a constrained system of 1...
The structure of the full Einstein equations in a coordinate gauge based on expanding null hypersurf...
We consider an approach to the hyperboloidal evolution problem based on the Einstein equations writt...
International audienceThe definition of well-behaved coordinate charts for black hole spacetimes can...
The definition of well-behaved coordinate charts for black hole spacetimes can be tricky, as they ca...
I review the development of numerical evolution codes for general relativity based upon the characte...
We review recent efforts to re-formulate the Einstein equations for fully relativistic numerical sim...
We present a high-order scheme for solving the full non-linear Einstein equations on characteristic ...
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