68 citations · 231 across the 47 of their papers we have counts for
3 papers · 2 filters
Numerical solution of the incompressible Navier-Stokes equation by a deep branching algorithm
Jiang Yu Nguwi, Guillaume Penent, Nicolas Privault
We present an algorithm for the numerical solution of systems of fully nonlinear PDEs using stochastic coded branching trees. This approach covers functional nonlinearities involvi…
A deep branching solver for fully nonlinear partial differential equations
Jiang Yu Nguwi, Guillaume Penent, Nicolas Privault
We present a multidimensional deep learning implementation of a stochastic branching algorithm for the numerical solution of fully nonlinear PDEs. This approach is designed to tack…
Numerical evaluation of ODE solutions by Monte Carlo enumeration of Butcher series
Guillaume Penent, Nicolas Privault
We present an algorithm for the numerical solution of ordinary differential equations by random enumeration of the Butcher trees used in the implementation of the Runge-Kutta metho…