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Utilizing symmetry-enhanced physics-informed neural network to obtain the solution beyond sampling domain for partial differential equations

Jie-Ying Li, Hui Zhang, Ye Liu, Leilei Guo, Lisheng Zhang, Zhi‐Yong Zhang

2023Nonlinear Dynamics13 citationsDOI

Topics & Concepts

ExtrapolationPartial differential equationArtificial neural networkSymmetry (geometry)Leverage (statistics)Sampling (signal processing)Domain (mathematical analysis)MathematicsPartial derivativeApplied mathematicsComputer scienceMathematical analysisArtificial intelligenceGeometryFilter (signal processing)Computer visionModel Reduction and Neural NetworksMagnetic Properties and ApplicationsFluid Dynamics and Turbulent Flows
Utilizing symmetry-enhanced physics-informed neural network to obtain the solution beyond sampling domain for partial differential equations | Litcius