2 citations · 3 across the 4 of their papers we have counts for
5 papers
Multi-Index Recovery for Total-Degree Multivariate Vandermonde Matrices
Samuel Santos-Pérez
For multivariate polynomial bases of total degree at most n, a column of the Vandermonde matrix is identified by a multi-index of exponents. In this work, we give a direct, recursi…
Constraint-satisfying binary boson star initial data via XCFC
Gabriele Palloni, Nicolas Sanchis-Gual, José A. Font +4
Numerical-relativity simulations with non-trivial matter configurations require initial data that satisfy the Hamiltonian and momentum constraints of the Einstein equations. We con…
Reformulation of Einstein equations in the Fully Constrained Formulation: local-uniqueness, post-Newtonian expansion and initial data
Samuel Santos-Pérez, Isabel Cordero-Carrión, Pablo Cerdá-Durán
Einstein equations can be written in the so-called Fully Constrained Formulation (FCF). This formulation has two different sectors: the elliptic sector, formed by the Hamiltonian a…
Numerical evolution of the resistive relativistic magnetohydrodynamic equations: a minimally implicit Runge-Kutta scheme
Isabel Cordero-Carrión, Samuel Santos-Pérez, Clara Martínez-Vidallach
We present the Minimally-Implicit Runge-Kutta (MIRK) methods for the numerical evolution of the resistive relativistic magnetohydrodynamic (RRMHD) equations, following the approach…
Time integration for neutrino radiation transport using minimally implicit Runge-Kutta methods
Samuel Santos-Pérez, Martin Obergaulinger, Isabel Cordero-Carrión
The evolution of many astrophysical systems is dominated by the interaction between matter and radiation such as photons or neutrinos. The dynamics can be described by the evolutio…