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08/18/2023
Hadamard integrator for time-dependent wave equations: Lagrangian formulation via ray tracing
We propose a novel Hadamard integrator for the self-adjoint time-depende...
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07/31/2023
Operator Splitting/Finite Element Methods for the Minkowski Problem
The classical Minkowski problem for convex bodies has deeply influenced ...
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05/12/2022
An Efficient Operator-Splitting Method for the Eigenvalue Problem of the Monge-Ampère Equation
We develop an efficient operator-splitting method for the eigenvalue pro...
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06/19/2021
Learning Rays via Deep Neural Network in a Ray-based IPDG Method for High-Frequency Helmholtz Equations in Inhomogeneous Media
We develop a deep learning approach to extract ray directions at discret...
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08/18/2020