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Improved training of physics-informed neural networks for parabolic differential equations with sharply perturbed initial conditions

Yifei Zong, Qizhi He, Alexandre M. Tartakovsky

2023Computer Methods in Applied Mechanics and Engineering29 citationsDOIOpen Access PDF

Topics & Concepts

ResidualNormalization (sociology)MathematicsParabolic partial differential equationGaussianArtificial neural networkDegenerate energy levelsGradient descentError functionApplied mathematicsMathematical analysisDifferential equationPhysicsAlgorithmComputer scienceQuantum mechanicsMachine learningAnthropologySociologyModel Reduction and Neural NetworksNuclear reactor physics and engineeringFluid Dynamics and Turbulent Flows
Improved training of physics-informed neural networks for parabolic differential equations with sharply perturbed initial conditions | Litcius