Department of Mathematics

Speaker: Xu Yang
Title: Frozen Gaussian Approximation for High Frequency Wave Propagation
Affiliation: Courant Institute of Mathematical Sciences, New York University
Date: Friday, January 20, 2012
Place and Time: Room 101, Love Building, 3:35-4:30 pm
Refreshments: Room 204, Love Building, 3:00 pm

Abstract. We propose the frozen Gaussian approximation for the computation of high frequency wave propagation. This method approximates the solution to the wave equation by an integral representation. It provides a highly efficient computational tool based on the asymptotic analysis on phase plane. Compared to geometric optics, it provides a valid solution around caustics. Compared to the Gaussian beam method, it overcomes the drawback of beam spreading. I will present numerical examples as well as preliminary application in seismology to show the performance of this method.