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math.NA2019
Adaptive greedy algorithms based on parameter-domain decomposition and reconstruction for the reduced basis method
Jiahua Jiang, Yanlai Chen
The reduced basis method (RBM) empowers repeated and rapid evaluation of parametrized partial differential equations through an offline-online decomposition, a.k.a. a learning-exec…
math.NA2019
L1-ROC and R2-ROC: L1- and R2-based Reduced Over-Collocation methods for parametrized nonlinear partial differential equations
Yanlai Chen, Sigal Gottlieb, Lijie Ji +2
The onerous task of repeatedly resolving certain parametrized partial differential equations (pPDEs) in, e.g. the optimization context, makes it imperative to design vastly more ef…