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math.DS2022★ 1 cited
A quadratic decoder approach to nonintrusive reduced-order modeling of nonlinear dynamical systems
Peter Benner, Pawan Goyal, Jan Heiland +1
Linear projection schemes like Proper Orthogonal Decomposition can efficiently reduce the dimensions of dynamical systems but are naturally limited, e.g., for convection-dominated…
math.DS2020
Operator Inference and Physics-Informed Learning of Low-Dimensional Models for Incompressible Flows
Peter Benner, Pawan Goyal, Jan Heiland +1
Reduced-order modeling has a long tradition in computational fluid dynamics. The ever-increasing significance of data for the synthesis of low-order models is well reflected in the…