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.
翻译:我们提出了一个使用神经网络的新颖方法,用于寻找某种局部差异等同的解决方案。 我们的方法建立在神经辐射现场研究的最新进展之上,让NN能够比经典的“物质信息神经网络”方法更快地走向PDE解决方案。