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07/18/2023
DiTTO: Diffusion-inspired Temporal Transformer Operator
Solving partial differential equations (PDEs) using a data-driven approa...
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06/29/2023
Fourth order accurate compact scheme for first-order maxwell's equations
We construct a compact fourth-order scheme, in space and time, for the t...
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03/15/2023
ViTO: Vision Transformer-Operator
We combine vision transformers with operator learning to solve diverse i...
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08/28/2022
A Hybrid Iterative Numerical Transferable Solver (HINTS) for PDEs Based on Deep Operator Network and Relaxation Methods
Iterative solvers of linear systems are a key component for the numerica...
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08/07/2022
A physically-informed Deep-Learning approach for locating sources in a waveguide
Inverse source problems are central to many applications in acoustics, g...
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05/22/2022
A Convolutional Dispersion Relation Preserving Scheme for the Acoustic Wave Equation
We propose an accurate numerical scheme for approximating the solution o...
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03/22/2021