Fast Neural Network based Solving of Partial Differential Equations

Published 18 May 2022 in cs.LG, cs.NA, and math.NA | (2205.08978v2)

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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