A new Gaussian process kernel, derived from a stochastic PDE with boundary conditions, enforces Dirichlet, Neumann, or Robin boundaries on irregular domains with smoothness control and provable approximation error.
Some closed form solutions to the Navier Stokes equations
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abstract
An algorithm for generating a class of closed form solutions to the Navier-Stokes equations is suggested, with examples. Of particular interest are those exact solutions that exhibit intermittency, tertiary Hopf bifurcations, flow reversal, and hysteresis.
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The BdryMat\'ern GP: Reliable incorporation of boundary information on irregular domains for Gaussian process modeling
A new Gaussian process kernel, derived from a stochastic PDE with boundary conditions, enforces Dirichlet, Neumann, or Robin boundaries on irregular domains with smoothness control and provable approximation error.