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arXiv · 2205.08978

Fast Neural Network based Solving of Partial Differential Equations

Jaroslaw Rzepecki·Daniel Bates·Chris Doran
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Abstract

We present a novel method for using Neural Networks (NNs) for finding solutions to a class of Partial Differential Equations (PDEs). Our method builds on recent advances in Neural Radiance Field research (NeRFs) and allows for a NN to converge to a PDE solution much faster than classic Physically Informed Neural Network (PINNs) approaches.

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Jaroslaw Rzepecki, Daniel Bates, Chris Doran. 2022-05-18. Fast Neural Network based Solving of Partial Differential Equations. https://arxiv.org/abs/2205.08978

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