A reduced order method for nonlinear parameterized partial differential equations using dynamic mode decomposition coupled with k-nearest-neighbors regression
Zhen Gao, Yifan Lin, Xiang Sun, Xueying Zeng
Topics & Concepts
Parameterized complexityNonlinear systemMathematicsApplied mathematicsPartial differential equationNonlinear regressionDecompositionMode (computer interface)Order (exchange)Dynamic mode decompositionRegressionMathematical analysisRegression analysisPhysicsStatisticsAlgorithmComputer scienceMechanicsChemistryOrganic chemistryFinanceQuantum mechanicsOperating systemEconomicsModel Reduction and Neural NetworksFluid Dynamics and Vibration AnalysisHeat Transfer Mechanisms