91 citations · 246 across the 6 of their papers we have counts for
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math.NA2020★ 1 cited
Thermodynamically consistent physics-informed neural networks for hyperbolic systems
Ravi G. Patel, Indu Manickam, Nathaniel A. Trask +4
Physics-informed neural network architectures have emerged as a powerful tool for developing flexible PDE solvers which easily assimilate data, but face challenges related to the P…
math.NA2020★ 41 cited
Second-order invariant domain preserving approximation of the compressible Navier--Stokes equations
Jean-Luc Guermond, Matthias Maier, Bojan Popov +1
We present a fully discrete approximation technique for the compressible Navier-Stokes equations that is second-order accurate in time and space, semi-implicit, and guaranteed to b…