7 citations · 8 across the 3 of their papers we have counts for
3 papers
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…
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…
Error Estimates for Gaussian Beam Superpositions
Hailiang Liu, Olof Runborg, Nicolay M. Tanushev
Gaussian beams are asymptotically valid high frequency solutions to hyperbolic partial differential equations, concentrated on a single curve through the physical domain. They can…