seminar

In this talk, I will discuss my prior work on high-order conservative semi-Lagrangian finite volume schemes for transport equations. The two most well-known benefits of semi-Lagrangian finite volume schemes are the allowance for large time step settings and their mass conservation properties. I will introduce two distinct types of semi-Lagrangian schemes: splitting-based and non-splitting schemes. Each possesses its own advantages and corresponding drawbacks. I will cover the fundamental concepts and showcase various numerical tests to both verify their effectiveness and highlight the differences between them.