Approximation rates of DeepONets for learning operators arising from advection–diffusion equations
Beichuan Deng, Yeonjong Shin, Lu Lu, Zhongqiang Zhang, George Em Karniadakis
Topics & Concepts
SmoothnessOperator (biology)AdvectionMathematicsNonlinear systemOperator theoryChenApplied mathematicsLinear operatorsLinear approximationWork (physics)DiffusionMathematical analysisComputer sciencePhysicsBounded functionPaleontologyQuantum mechanicsRepressorThermodynamicsBiologyTranscription factorGeneChemistryBiochemistryModel Reduction and Neural NetworksNeural Networks and ApplicationsAdvanced Mathematical Modeling in Engineering