pith. sign in

arxiv: 1406.7029 · v2 · pith:ZMTKQBCAnew · submitted 2014-06-26 · 🌀 gr-qc

Spectral Characteristic Evolution: A New Algorithm for Gravitational Wave Propagation

Casey J. Handmer , B\'ela Szil\'agyi This is my paper
classification 🌀 gr-qc
keywords spectralalgorithmcharacteristicevolutiondemonstrateeinsteinexistinggravitational
0
0 comments X
read the original abstract

We present a spectral algorithm for solving the full nonlinear vacuum Einstein field equations in the Bondi framework. Developed within the Spectral Einstein Code (SpEC), we demonstrate spectral characteristic evolution as a technical precursor to Cauchy Characteristic Extraction (CCE), a rigorous method for obtaining gauge-invariant gravitational waveforms from existing and future astrophysical simulations. We demonstrate the new algorithm's stability, convergence, and agreement with existing evolution methods. We explain how an innovative spectral approach enables a two orders of magnitude improvement in computational efficiency.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Toward claiming a detection of gravitational memory

    gr-qc 2026-01 unverdicted novelty 6.0

    A framework using scale separation in the Isaacson description defines observable gravitational memory rise for compact binary coalescences, providing a basis for hypothesis testing in LISA data.

  2. Constraining Gravitational Wave Memory with Hierarchical Inference

    gr-qc 2026-05 unverdicted novelty 5.0

    Hierarchical Bayesian inference on GWTC-5.0 constrains the memory enhancement factor to 0.26 with large uncertainties consistent with the GR value of 1 and forecasts that 2000 detections are needed for a 1σ constraint...