Advances in physics-informed neural networks for solving complex partial differential equations and their engineering applications: A systematic review
Jiangtao Guo, Hao Zhu, Yujie Yang, Chenrui Guo
Topics & Concepts
Computer sciencePartial differential equationNonlinear systemArtificial neural networkDiscretizationCurse of dimensionalityFinite element methodMathematical optimizationPhysical systemArtificial intelligenceMesh generationMultigrid methodTheoretical computer scienceRichardson extrapolationPython (programming language)Convergence (economics)Complex networkNumerical analysisHyperparameterFinite differenceOptimization problemComplex systemSolverLipschitz continuityInferenceUncertainty quantificationBoundary value problemOrdinary differential equationModel Reduction and Neural NetworksNeural Networks and ApplicationsFluid Dynamics and Turbulent Flows