Department of Mathematics and Statistics
University of New Mexico
Albuquerque, New Mexico
Hermite methods are arbitrary order polynomial based methods with exceptional resolving power (less than 2 points per wavelength! How can this be?) and high computation to communication ratio. The first part of this talk will discuss the basic elements of Hermite methods for time-dependent PDEs. The second part will cover h and p-adaptivity, propagation of discontinuities, hybridization with discontinuous Galerkin methods and applications to fluid flow and electromagnetics.