A semigroup method for high dimensional elliptic PDEs and eigenvalue problems based on neural networks
Haoya Li, Lexing Ying
Topics & Concepts
MathematicsEigenvalues and eigenvectorsSemigroupApplied mathematicsPartial differential equationBoundary value problemDifferential operatorElliptic operatorOperator (biology)Artificial neural networkLaplace operatorMathematical analysisComputer scienceRepressorBiochemistryChemistryQuantum mechanicsPhysicsMachine learningGeneTranscription factorModel Reduction and Neural NetworksNumerical methods in engineeringNumerical methods in inverse problems