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math.NA2019★ 22 cited
Adaptive Basis Construction and Improved Error Estimation for Parametric Nonlinear Dynamical Systems
Sridhar Chellappa, Lihong Feng, Peter Benner
An adaptive scheme to generate reduced-order models for parametric nonlinear dynamical systems is proposed. It aims to automatize the POD-Greedy algorithm combined with empirical i…
math.NA2019★ 16 cited
An Adaptive Sampling Approach for the Reduced Basis Method
Sridhar Chellappa, Lihong Feng, Peter Benner
The offline time of the reduced basis method can be very long given a large training set of parameter samples. This usually happens when the system has more than two independent pa…