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Physics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation

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From the conversation here https://github.com/SciML/NeuralPDE.jl/issues/390#issuecomment-921892269 We should ammortize the integral cost. I.e., if we integrate from (0,x), then the next point is at (0,y), we really only need to solve...

new_algorithm

https://arxiv.org/pdf/2104.10013.pdf - [ ] GPU - [ ] multi-GPU - [ ] MPI

new_algorithm

https://arxiv.org/abs/1906.01170

new_algorithm

https://arxiv.org/abs/2009.03892

new_algorithm

https://arxiv.org/abs/2102.11830

new_algorithm

I had a generally positive experience working with higher dimensional PDEs, but I struggled to figure out how to analyze the results of these 3D+ PDEs effectively. I think it...

documentation

https://proceedings.neurips.cc/paper/2021/file/df438e5206f31600e6ae4af72f2725f1-Paper.pdf

new_algorithm

It's never a good idea, so it's bad form. We shouldn't show people bad form and then tell them to not do it in issues.

documentation

Implementing the Neural Tangent Kernel adaptive loss method proposed in the "When and Why PINNs Fail to Train: A Neural Tangent Kernel Perspective" [paper](https://arxiv.org/pdf/2007.14527.pdf) by Sifan Wang, Xinling Yu, Paris...

new_algorithm

Implementing the Inverse Dirichlet adaptive loss method proposed in this paper "Inverse Dirichlet weighting enables reliable training of physics informed neural networks" [paper](https://iopscience.iop.org/article/10.1088/2632-2153/ac3712/pdf) by Suryanarayana Maddu, Dominik Sturm, Christian L...

new_algorithm