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Explore the mathematical foundations of Numerical Relativity in this comprehensive lecture by Thomas Baumgarte from Bowdoin College. Delve into the fifth installment of a graduate-level mini-course that forms part of the Summer School on Gravitational-Wave Astronomy organized by the International Centre for Theoretical Sciences. Gain insights into the complex field equations of General Relativity and their application in modeling high-energy astrophysical phenomena such as black hole mergers, neutron star collisions, and massive star collapses. Understand the crucial role of numerical simulations in interpreting gravitational-wave signals and advancing multi-messenger astronomy. Suitable for graduate students and postdocs with a strong background in General Relativity, numerical methods, and coding, this 1 hour 35 minute lecture contributes to a broader program aimed at preparing researchers for the challenges of modern gravitational-wave astronomy and computational relativity.
