This video contains:
Material from FVMHP Chap. 4
- Upwind, Lax-Friedrichs
- Lax-Wendroff and Beam-Warming
- Numerical dissipation and dispersion
- Modified equations
FVMHP refers to the book "Finite Volume Methods for Hyperbolic Problems" by RJ LeVeque. Most of these lectures are based on material in that book. See http://www.clawpack.org/fvmhp_materials/ for more about the book.
This is part of a series of lectures recorded in 2023, originally as supplementary material for the graduate level course Applied Math 574 at the University of Washington. For the slide decks and summary of contents, see https://github.com/clawpack/fvmhp_materials/tree/main/slides_pdf/. The latex version of the slides, and possibly additional useful materials, can be found at https://github.com/clawpack/fvmhp_materials/.