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‎README.md‎

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A Package that provides Layers for the learning of (nonlinear) operators in order to solve parametric PDEs.
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For now, this package contains the Fourier Neural Operator originally proposed by Li et al.
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For now, this package contains the Fourier Neural Operator originally proposed by Li et al [1] as well as the DeepONet conceived by Lu et al [2].
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I decided to implement this method in Julia because coding up a layer using PyTorch in Python is rather cumbersome in comparison and Julia as a whole simply runs at comparable or faster speed than Python. Please do check out the [original work](https://github.com/zongyi-li/fourier_neural_operator) at GitHub as well.
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## References
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- Li et al., 2020 [arXiv:2010.08895](https://arxiv.org/abs/2010.08895)
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[1] Z. Li et al., „Fourier Neural Operator for Parametric Partial Differential Equations“, [arXiv:2010.08895](https://arxiv.org/abs/2010.08895) [cs, math], May 2021
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[2] L. Lu, P. Jin, and G. E. Karniadakis, „DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators“, [arXiv:1910.03193](http://arxiv.org/abs/1910.03193) [cs, stat], Apr. 2020

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