Add to ORKGWe use rigorous techniques from numerical analysis of hyperbolic equations in bounded domains to construct stable finite-difference schemes for Numerical Relativity, in particular for their use in black hole excision. As an application, we present 3D simulations of a scalar field propagating in a Schwarzschild black hole background
In the harmonic description of general relativity, the principle part of Einstein's equations reduce...
Centered finite volume methods are considered in the context of Numerical Relativity. A specific for...
We describe an explicit in time, finite-difference code designed to simulate black holes by using th...
We use rigorous techniques from numerical analysis of hyperbolic equations in bounded domains to con...
We use rigorous techniques from numerical analysis of hyperbolic equations in bounded domains to con...
This thesis is concerned with the development of better techniques for the 3 + 1 numerical relativit...
This thesis is concerned with the development of better techniques for the 3 + 1 numerical relativit...
We describe a simple implementation of black hole excision in 3 + 1 numerical relativity. We apply t...
A new numerical scheme to solve the Einstein field equations based upon the generalized harmonic dec...
We analyze the excision strategy for simulating black holes. The problem is modeled by the propagati...
We analyze the excision strategy for simulating black holes. The problem is modeled by the propagati...
We describe a numerical code that solves Einstein’s equations for a Schwarzschild black hole in sphe...
We describe a numerical code that solves Einstein’s equations for a Schwarzschild black hole in sphe...
In the harmonic description of general relativity, the principle part of Einstein's equations reduce...
In the harmonic description of general relativity, the principle part of Einstein's equations reduce...
In the harmonic description of general relativity, the principle part of Einstein's equations reduce...
Centered finite volume methods are considered in the context of Numerical Relativity. A specific for...
We describe an explicit in time, finite-difference code designed to simulate black holes by using th...
We use rigorous techniques from numerical analysis of hyperbolic equations in bounded domains to con...
We use rigorous techniques from numerical analysis of hyperbolic equations in bounded domains to con...
This thesis is concerned with the development of better techniques for the 3 + 1 numerical relativit...
This thesis is concerned with the development of better techniques for the 3 + 1 numerical relativit...
We describe a simple implementation of black hole excision in 3 + 1 numerical relativity. We apply t...
A new numerical scheme to solve the Einstein field equations based upon the generalized harmonic dec...
We analyze the excision strategy for simulating black holes. The problem is modeled by the propagati...
We analyze the excision strategy for simulating black holes. The problem is modeled by the propagati...
We describe a numerical code that solves Einstein’s equations for a Schwarzschild black hole in sphe...
We describe a numerical code that solves Einstein’s equations for a Schwarzschild black hole in sphe...
In the harmonic description of general relativity, the principle part of Einstein's equations reduce...
In the harmonic description of general relativity, the principle part of Einstein's equations reduce...
In the harmonic description of general relativity, the principle part of Einstein's equations reduce...
Centered finite volume methods are considered in the context of Numerical Relativity. A specific for...
We describe an explicit in time, finite-difference code designed to simulate black holes by using th...