PASDOS : Physics-Aware Statistics for Data On Surfaces


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Fig. 4.1: Simulation of the spatio-temporal advection-diffusion SPDE on a cortical surface, represented from three different viewpoints on the surface (t represents the time step, std-dev the standard deviation of the field values across the surface).
Advection potential on a cortical surface

(A) Advection potential function $\phi$.


(B) Numerical solution of the SPDE, without stabilization.


(C) Numerical solution of the SPDE, with stabilization.