Explore advanced time-integration methods for atmospheric modeling in this webinar presented by Francis X. Giraldo, Naval Postgraduate School Distinguished Professor. Delve into the challenges of weather and climate modeling, focusing on specialized time-integration techniques for advancing governing equations. Learn about element-based Galerkin (EBG) methods and discover how the contravariant form of discretization simplifies the application of horizontally explicit vertically implicit (HEVI) time-integrators in both regional and global models. Gain insights from extensive research in operational weather prediction models and advancements in climate, space weather, and ocean dynamics. The presentation covers an introduction, the main webinar content, and concludes with a Q&A session, offering a comprehensive look at cutting-edge approaches in atmospheric science and environmental modeling.