DAS-PINNs: A deep adaptive sampling method for solving high-dimensional partial differential equations
Kejun Tang, Xiaoliang Wan, Chao Yang
Topics & Concepts
ResidualCollocation (remote sensing)Partial differential equationAdaptive samplingArtificial neural networkApplied mathematicsAlgorithmMathematical optimizationComputer scienceMethod of mean weighted residualsMathematicsSampling (signal processing)Function (biology)Set (abstract data type)Finite element methodArtificial intelligenceMathematical analysisMachine learningMonte Carlo methodStatisticsProgramming languageFilter (signal processing)BiologyThermodynamicsComputer visionEvolutionary biologyPhysicsGalerkin methodModel Reduction and Neural NetworksProbabilistic and Robust Engineering DesignNumerical methods in engineering