Gaussian Beam Superposition Methods for High Frequency Wave Propagation

Participants

Project information:

  • Funding: American Institute of Mathematics
  • Period: 2011-2013
  • SQuaREs web page:  The purpose of a SQuaRE is to allow a dedicated group of four to six mathematicians to spend a week at the AIM headquarters in Palo Alto, California, with the possibility of returning in subsequent years. AIM will provide both the research facilities and the financial support for each SQuaRE group.
  • Meeting weeks:  May 9-13, 2011;  August 13-17, 2012;  TBA 2013.

Summary of the project:

This research program  is on Gaussian beam superposition methods for the computation of high frequency wave fields governed by a variety of partial differential equations, including hyperbolic equations such as the acoustic wave equation, dispersive equations such as the Schroedinger equation, and the time independent Helmholtz equation. The ultimate goal of this AIM SQuaRE group is to develop novel analytical and numerical methods based on Gaussian beam superposition of high frequency waves with a wide range of applications.

We meet at AIM  one week per year for three years from 2011-2013. 
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