[PDF] Top 20 Spectrally accurate initial data in numerical relativity

... for numerical relativity is finding accurate initial data to begin the ...the initial data consists of initial positions and velocities, in GR we need to initially ... See full document

... His solution included black holes, objects with singularities and event horizons, which have been controversially discussed at that time. Almost exactly one hun- dred years after Einsteins presentation of his nal eld ... See full document

... In: Classical and Quantum Gravity 36.5 (Feb. 2019), p. 054001. doi: 10. 1088/1361-6382/aafcdf. Abstract We present a scheme for generating first-order metric perturbation initial data for an arbitrary ... See full document

... 3 Numerical method C60 3 Numerical method ...an initial guess to the solution of an equation and deforming it onto the solution to the full nonlinear ... See full document

... an accurate description of their relativistic gravitational field, without any assumption on the symmetry or with the presence of matter fields for ...of numerical relativity, several ... See full document

... We perform an eccentricity reduction procedure as de- scribed in Ref. [41] to obtain residual eccentricity of about ≤ 10 −3 for all our initial data. The BHNS simulations are performed with the SACRA code. ... See full document

... in numerical relativity performed by solving the GR Cauchy initial data problem, either within the framework of foun- dational studies about spacetime dynamics (for example, the genericity ... See full document

... the numerical solution of the electromagnetic inverse problem are ...presented. Numerical experiments for the shape detection of multiple obstacles using incomplete radiation pattern data from back ... See full document

... on accurate numerical relativity simulations of their dynamics, evolving both spacetime and matter ...such numerical relativity simulations of black hole–torus ...as initial ... See full document

... in numerical relativity, showing potential advantages of the methods in dealing with hydrodynamical shocks and other ...in numerical relativity. We present a novel hp-adaptive numerical ... See full document

... I am pleased to be a part of his numerical relativity group and the TPI community in Jena. Any amount of appreciation will fall short in expressing my gratitude for Dr. Tim Dietrich, who from the very ... See full document

... 4 Conclusions We designed and debugged a software for numerical simulations in gravity with scalar fields. The main di ff erence from previous works is the special ansatz for the metric and hence slightly di ff erent ... See full document

... general relativity occurred in September 2015, a century after the fundamental predictions of Einstein and Schwarzschild, when the first direct detection of gravitational waves ...general relativity for the ... See full document

... Fourier modes. ........................................................................................................ 52 Figure 17: Structure of the coefficient matrix for the over-determined formulation with , and . ... See full document

... McLachlan is a complete implementation of the BSSNOK general relativity spacetime evolution equations including all the standard tricks that ensures stability.. McLachlan uses up-winding[r] ... See full document

... Multi-thread performances (left panel) and speedup (right panel) for block size n = 128 as a function of the number of threads, in the case of the wave equations with stencil size S = 2.[r] ... See full document

... special relativity allows a symmetric argument in both frames (that is, if each observer thinks that he is at rest), the two systems must behave as counter-part in order to keep the speed of light constant (by the ... See full document

... An Accurate Quadrature for the Numerical Integration of Polynomial ...The numerical integration of polynomial functions is one of the most interesting processes for numerical calculus and ... See full document

... be accurate and efficient for solving partial dif- ferential equations [60, 147], the development of mathematical theory on stability and convergence order estimates, however, is still far from ... See full document

... λ) data cubes — with θ the 2D angular position and λ the wavelength — with several hundreds of wavelength ...astronomical data enters the hyper-spectral ...the data gathered by these ... See full document