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Monte Carlo fPINNs: Deep learning method for forward and inverse problems involving high dimensional fractional partial differential equations

Ling Guo, Hao Wu, Xiaochen Yu, Tao Zhou

2022Computer Methods in Applied Mechanics and Engineering104 citationsDOI

Topics & Concepts

Monte Carlo methodApplied mathematicsArtificial neural networkPartial differential equationFractional calculusMathematicsInverse problemMathematical optimizationComputer scienceArtificial intelligenceMathematical analysisStatisticsModel Reduction and Neural NetworksFractional Differential Equations SolutionsProbabilistic and Robust Engineering Design
Monte Carlo fPINNs: Deep learning method for forward and inverse problems involving high dimensional fractional partial differential equations | Litcius