102 citations · 246 across the 25 of their papers we have counts for
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math.NA2020★ 39 cited
Linking Machine Learning with Multiscale Numerics: Data-Driven Discovery of Homogenized Equations
Hassan Arbabi, Judith E. Bunder, Giovanni Samaey +2
The data-driven discovery of partial differential equations (PDEs) consistent with spatiotemporal data is experiencing a rebirth in machine learning research. Training deep neural…
math.NA2020★ 2 cited
A multiscale scheme accurately simulates macroscale shocks in an equation-free framework
John Maclean, J. E. Bunder, A. J. Roberts +1
Scientists and engineers often create accurate, trustworthy, computational simulation schemes - but all too often these are too computationally expensive to execute over the time o…