Numerical Tools in LTB universes

In this talk we present some useful numerical tools for Astrophysics and Cosmology. They were used to solve null geodesics in Lemaître‐Tolman‐Bondi (LTB) universes. This concerns with the treatment of Cosmic Microwave Background (CMB) anisotropies. One great cosmological inhomogeneity is described as voids or great attractor‐like structures and its effects on CMB. Afterwards, other numerical techniques were also applied with N‐body algorithms. They simulated the structure of a region of the universe and its gravitational effects on CMB. Recently, other numerical algorithms have been developed in our research on Relativistic Positioning Systems. Some relationships among all this numerical work along time are highlighted here.