323 citations · 565 across the 31 of their papers we have counts for
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math.NA2021★ 4 cited
Nonlinear Reduced DNN Models for State Estimation
Wolfgang Dahmen, Min Wang, Zhu Wang
We propose in this paper a data driven state estimation scheme for generating nonlinear reduced models for parametric families of PDEs, directly providing data-to-state maps, repre…
math.NA2021★ 6 cited
Accuracy controlled data assimilation for parabolic problems
Wolfgang Dahmen, Rob Stevenson, Jan Westerdiep
This paper is concerned with the recovery of (approximate) solutions to parabolic problems from incomplete and possibly inconsistent observational data, given on a time-space cylin…