The equations of general relativity -- Einstein’s field equations -- are among the most complicated partial differential equations in mathematical physics. These equations predict the existence of gravitational waves, first directly observed in 2016. In a talk, Scott Field shows that the discovery of gravitational waves, and indeed the very accomplishment of solving Einstein’s equations, was enabled by advances in algorithms, numerical methods and access to large computing resources. Light refreshments will be served at 6 p.m. ICERM Lecture Hall, 11th Floor, 121 South Main Street.