Dave Shirokoff, New Jersey Institute of Technology, Implicit-Explicit (IMEX) Stability and Applications to the Dispersive Shallow Water Equations
ZoomIn this talk we will introduce a new stability theory for implicit-explicit (IMEX) time integration schemes—which treat some terms in a differential equation implicitly (for stability) and others explicitly (for efficiency). Our focus will be on devising new efficient stable schemes for several fluid equations ranging from the incompressible Navier-Stokes equations, nonlinear diffusion equations, and…