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07/23/2023
Tackling the Curse of Dimensionality with Physics-Informed Neural Networks
The curse-of-dimensionality (CoD) taxes computational resources heavily ...
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07/22/2023
High order entropy stable schemes for the quasi-one-dimensional shallow water and compressible Euler equations
High order schemes are known to be unstable in the presence of shock dis...
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07/18/2023
Characterization of partial wetting by CMAS droplets using multiphase many-body dissipative particle dynamics and data-driven discovery based on PINNs
The molten sand, a mixture of calcia, magnesia, alumina, and silicate, k...
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06/27/2023
CrunchGPT: A chatGPT assisted framework for scientific machine learning
Scientific Machine Learning (SciML) has advanced recently across many di...
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05/18/2023
A Framework Based on Symbolic Regression Coupled with eXtended Physics-Informed Neural Networks for Gray-Box Learning of Equations of Motion from Data
We propose a framework and an algorithm to uncover the unknown parts of ...
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02/07/2023
Learning bias corrections for climate models using deep neural operators
Numerical simulation for climate modeling resolving all important scales...
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02/02/2023
Deep neural operators can serve as accurate surrogates for shape optimization: A case study for airfoils
Deep neural operators, such as DeepONets, have changed the paradigm in h...
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11/22/2022
High-Order Methods for Hypersonic Flows with Strong Shocks and Real Chemistry
We compare high-order methods including spectral difference (SD), flux r...
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05/16/2022
Scalable algorithms for physics-informed neural and graph networks
Physics-informed machine learning (PIML) has emerged as a promising new ...
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04/11/2022
Learning two-phase microstructure evolution using neural operators and autoencoder architectures
Phase-field modeling is an effective mesoscale method for capturing the ...
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04/20/2021
Parallel Physics-Informed Neural Networks via Domain Decomposition
We develop a distributed framework for the physics-informed neural netwo...
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10/31/2020
A high order discontinuous Galerkin method for the symmetric form of the anisotropic viscoelastic wave equation
Wave propagation in real media is affected by various non-trivial physic...
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05/07/2020