Geometric Methods for Computing High-Frequency Wave Limit

Hailiang Liu
Iowa State University
Email: hliu@iastate.edu

In this talk I will present a novel level set method for computational high 
frequency wave propagation in dispersive media, with an application to 
linear Schr\"{o}dinger equations subject  to  highly oscillating initial data.

In this context I will also discuss the new development on computing 
multi-valued position density and other physical observables  from high 
frequency wave fields governed by  a class of  dispersive  and  hyperbolic 
wave equations.