Modeling Advection on Directed Graphs using Mat\'ern Gaussian Processes for Traffic Flow. (arXiv:2201.00001v1 [math.NA])

The transport of traffic flow can be modeled by the advection equation.
Finite difference and finite volumes methods have been used to numerically
solve this hyperbolic equation on a mesh. Advection has also been modeled
discretely on directed graphs using the graph advection operator [4, 18]. In
this paper, we first show that we can reformulate this graph advection operator
as a finite difference scheme. We then propose the Directed Graph Advection
Mat\'ern Gaussian Process (DGAMGP) model that incorporates the …

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