2 papers
physics.comp-ph2022
A Fast Butterfly-compressed Hadamard-Babich Integrator for High-Frequency Helmholtz Equations in Inhomogeneous Media with Arbitrary Sources
Yang Liu, Jian Song, Robert Burridge +1
We present a butterfly-compressed representation of the Hadamard-Babich (HB) ansatz for the Green's function of the high-frequency Helmholtz equation in smooth inhomogeneous media.…
math.NA2020
On the Numerical Solution of Nonlinear Eigenvalue Problems for the Monge-Ampère Operator
Roland Glowinski, Shingyu Leung, Hao Liu +1
In this article, we report the results we obtained when investigating the numerical solution of some nonlinear eigenvalue problems for the Monge-Ampère operator $v\rightarrow \det…