Fast Neural Network based Solving of Partial Differential Equations

• URL: http://arxiv.org/abs/2205.08978v1
• Date: Wed, 18 May 2022 15:02:01 GMT
• Title: Fast Neural Network based Solving of Partial Differential Equations
• Authors: Jaroslaw Rzepecki, Chris Doran
• Abstract summary: 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.
• Score: 0.8460698440162889
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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