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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.NA2022★ 1 cited
An Efficient Operator-Splitting Method for the Eigenvalue Problem of the Monge-Ampère Equation
Hao Liu, Shingyu Leung, Jianliang Qian
We develop an efficient operator-splitting method for the eigenvalue problem of the Monge-Ampère operator in the Aleksandrov sense. The backbone of our method relies on a convergen…