High order entropy stable discontinuous Galerkin methods (ICCFD 12 plenary talk, July, 2024). Slides available on request.
High order entropy stable schemes for the quasi-1D shallow water and compressible Euler equations (SIAM TX-LA, November 2023). Slides
High order positivity-preserving entropy stable discontinuous Galerkin discretizations (Brown University, October 2023). Slides
Constructing robust high order discontinuous Galerkin methods (November 2022, Ohio State). Slides
Entropy stable reduced order modeling of nonlinear conservation laws (February 2021, online talk, SIAM CSE 2021). Slides
Efficient computation of Jacobian matrices for entropy stable summation-by-parts schemes (October 2020, SIAM TX-LA meeting, online). Slides
Stable high order methods for time-domain wave propagation in complex geometries and heterogeneous media (April 2020, Electromagnetics seminar, University of Houston, Houston, TX). Slides
Applications of geometry and algebra: Barycentric coordinates (Jan 2020, ConocoPhilips Applied Mathematics Program AMP!, Houston, TX). Slides
Energy-based methods for time-dependent acoustic and elastic wave propagation (August 2018, BIRS Workshop on Numerical Analysis of Coupled and Multi-Physics Problems with Dynamic Interface, Oaxaca, Mexico). Video
Weight-adjusted discontinuous Galerkin methods for elastic wave propagation (July 2018, ICOSAHOM, London, United Kingdom). Slides
Efficient explicit solvers for multipatch discontinuous Galerkin isogeometric analysis (June 2018, ECCM-ECFD, Glasgow, United Kingdom). Slides
Bernstein-Bezier discontinuous Galerkin methods (Minisymposium talk, June 2017, 27th Biennial Numerical Analysis Conference). Slides