id author title date pages extension mime words sentence flesch summary cache txt pc289g58f72 Ziqing Hu Graph Related Data Analysis and Neural Network Based Partial Differential Equations Solver 2022 .txt text/plain 209 8 32 By using neural networks as tools for spatial discretization, we introduce a structure-preserving Eulerian algorithm to solve L2-gradient flows and a structure-preserving Lagrangian algorithm to solve generalized diffusions. For graph neural network, we modified the traditional training process of graph neural network by re-sampling the graph structure. cache/pc289g58f72.txt txt/pc289g58f72.txt