Solving High-Dimensional Partial Differential Equations Using Tensor Neural Network and A Posteriori Error Estimators
Yifan Wang, Zhongshuo Lin, Yangfei Liao, Haochen Liu, Hehu Xie
Topics & Concepts
MathematicsEstimatorA priori and a posterioriPartial differential equationApplied mathematicsTensor (intrinsic definition)Artificial neural networkMathematical analysisStatisticsArtificial intelligenceGeometryComputer sciencePhilosophyEpistemologyModel Reduction and Neural NetworksNumerical methods for differential equationsAdvanced Numerical Methods in Computational Mathematics