Explore the complexities of tsunami modeling and simulation in this 46-minute lecture by Marsha Berger. Dive into the shallow water equations (SWE) and their application in predicting tsunami impacts from earthquake sources. Learn about adaptive mesh refinement (AMR) techniques used in the open-source Geoclaw simulation code, allowing for variable resolution from kilometer scale in deep oceans to meter scales near shorelines. Discover the importance of dispersive Boussinesq corrections for modeling shorter waves caused by landslides or asteroid impacts. Examine simulations using both SWE and Boussinesq models, along with analytical explorations of 1D models. Gain insights into tsunami modeling strategies, including the Asteroid Threat Assessment Project (ATAP) and air-burst generated tsunamis. Understand the challenges of implementing adaptive mesh refinement in dispersive models and explore potential solutions through case studies such as the Grays Harbor simulation.