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https://www.quantamagazine.org/new-neural-networks-solve-hardest-equations-faster-than-ever-20210419

...researchers have built new kinds of artificial neural networks that can approximate solutions to partial differential equations orders of magnitude faster than traditional PDE solvers. And once trained, the new neural nets can solve not just a single PDE but an entire family of them without retraining.

The article describes two different approaches to using neural nets to solve very complicated mathematical equations much faster than was previously thought possible.