Explore the intricacies of core-collapse supernovae in this 54-minute conference talk by Kei Kotake from Fukuoka University. Delve into the formation processes of neutron stars and black holes through three-dimensional, neutrino-radiation magnetohydrodynamics modeling. Discover the potential insights into the long-standing mystery of the explosion mechanism by analyzing gravitational-wave and neutrino signals. Gain a deeper understanding of computational challenges in multi-messenger astrophysics as presented at IPAM's Workshop I at UCLA on October 4, 2021.