3 papers
gr-qc2021
Aliasing Instabilities in the Numerical Evolution of the Einstein Field Equations
Claudio Meringolo, Sergio Servidio
The Einstein field equations of gravitation are characterized by cross-scale, high-order nonlinear terms, representing a challenge for numerical modeling. In an exact spectral deco…
gr-qc2020
A spectral method algorithm for numerical simulations of gravitational fields
Claudio Meringolo, Sergio Servidio, Pierluigi Veltri
A numerical study of the Einstein field equations, based on the 3+1 foliation of the spacetime, is presented. A pseudo-spectral technique has been employed for simulations in vacuu…
gr-qc2019
A spectral approach to numerical simulations of the ADM equations
C. Meringolo, S. Servidio, P. Veltri
We present a numerical study of the Einstein equations, according to the Arnowitt-Deser-Misner (ADM) formalism, in order to simulate the dynamics of gravitational fields. We took i…