167 citations · 623 across the 43 of their papers we have counts for
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math.NA2023
Long-term accuracy of numerical approximations of SPDEs with the stochastic Navier-Stokes equations as a paradigm
Nathan E. Glatt-Holtz, Cecilia F. Mondaini
This work introduces a general framework for establishing the long time accuracy for approximations of Markovian dynamical systems on separable Banach spaces. Our results illuminat…
math.NA2018★ 4 cited
GPU-Accelerated Particle Methods for Evaluation of Sparse Observations for PDE-Constrained Inverse Problems
Jeff Borggaard, Nathan E. Glatt-Holtz, Justin A. Krometis
We consider the inverse problem of estimating parameters of a driven diffusion (e.g., the underlying fluid flow, diffusion coefficient, or source terms) from point measurements of…