144 citations · 635 across the 40 of their papers we have counts for
3 papers · 1 filter
GINNs: Graph-Informed Neural Networks for Multiscale Physics
Eric J. Hall, Søren Taverniers, Markos A. Katsoulakis +1
We introduce the concept of a Graph-Informed Neural Network (GINN), a hybrid approach combining deep learning with probabilistic graphical models (PGMs) that acts as a surrogate fo…
Tensor methods for the Boltzmann-BGK equation
Arnout Boelens, Daniele Venturi, Daniel Tartakovsky
We present a tensor-decomposition method to solve the Boltzmann transport equation (BTE) in the Bhatnagar-Gross-Krook approximation. The method represents the six-dimensional BTE a…
Method of Distributions for Systems with Stochastic Forcing
Rik J. L. Rutjens, Gustaaf B. Jacobs, Daniel M. Tartakovsky
The method of distributions is developed for systems that are governed by hyperbolic conservation laws with stochastic forcing. The method yields a deterministic equation for the c…