Entropy stable boundary conditions are critical for ensuring that the corresponding numerical scheme satisfies the discrete entropy inequality, thus, mimicking the second law of thermodynamics for the compressible Navier-Stokes equations. Provably …
Entropy stable boundary conditions are critical for ensuring that the corresponding numerical scheme satisfies the discrete entropy inequality, thus, mimicking the second law of thermodynamics for the compressible Navier-Stokes equations. Provably …
Presentation on Lyapunov consistent discretizations for reaction-diffusion equations.
Introduction to summation-by-parts operators for non-linearly stable numerical schemes.
Taught during the Summer of 2023 at Ruhr University Bochum. Full-course, Preparing content, preparing homework, office hours, grading homework
Presentation on time integration methods for summation-by-parts schemes.