1 citations
2 papers
math.NA2015★ 1 cited
Sobolev and Max Norm Error Estimates for Gaussian Beam Superpositions
Hailiang Liu, Olof Runborg, Nicolay M. Tanushev
This work is concerned with the accuracy of Gaussian beam superpositions, which are asymptotically valid high frequency solutions to linear hyperbolic partial differential equation…
math.NA2013
Gaussian Beam Methods for the Helmholtz Equation
Hailiang Liu, James Ralston, Olof Runborg +1
In this work we construct Gaussian beam approximations to solutions of the high frequency Helmholtz equation with a localized source. Under the assumption of non-trapping rays we s…