A Deep Fourier Residual method for solving PDEs using Neural Networks
Jamie M. Taylor, David Pardo, Ignacio Muga
Topics & Concepts
ResidualNorm (philosophy)Method of mean weighted residualsArtificial neural networkApplied mathematicsMathematicsSineAlgorithmFourier transformMathematical optimizationError functionSine and cosine transformsMean squared errorComputer scienceFourier analysisMathematical analysisFinite element methodArtificial intelligenceGeometryFractional Fourier transformGalerkin methodPolitical scienceThermodynamicsPhysicsLawStatisticsModel Reduction and Neural NetworksAdvanced Numerical Methods in Computational MathematicsAdvanced Numerical Analysis Techniques