Fast Neural Network based Solving of Partial Differential Equations

05/18/2022

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by   Jaroslaw Rzepecki, et al.

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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.