Numerical Relativity: Mathematical Formulation - Lecture 1

Explore the mathematical foundations of Numerical Relativity in this comprehensive lecture by Thomas Baumgarte from Bowdoin College. Delve into the essential concepts and formulations used to solve Einstein's field equations numerically, a crucial technique for modeling complex astrophysical phenomena such as black hole mergers, neutron star collisions, and gravitational wave generation. Gain insights into the mathematical framework that underpins modern gravitational wave astronomy and high-energy astrophysics simulations. Part of the Summer School on Gravitational-Wave Astronomy organized by the International Centre for Theoretical Sciences, this lecture serves as a cornerstone for understanding the computational approaches used in studying extreme cosmic events.