3 papers
math.PR2024
Nonlinear Dirichlet problem of non-local branching processes
Lucian Beznea, Oana Lupascu-Stamate, Alexandra Teodor
We present a method of solving a nonlinear Dirichlet problem with discontinuous boundary data and we give a probabilistic representation of the solution using the nonlocal branchin…
math.PR2024
Numerical solution to the Neumann problem in a Lipschitz domain, based on random walks
Oana Lupascu-Stamate, Vasile Stanciulescu
We deal with probabilistic numerical solutions for linear elliptic equations with Neumann boundary conditions in a Lipschitz domain, by using a probabilistic numerical scheme intro…
math.PR2022
From Monte Carlo to neural networks approximations of boundary value problems
Lucian Beznea, Iulian Cimpean, Oana Lupascu-Stamate +2
In this paper we study probabilistic and neural network approximations for solutions to Poisson equation subject to Holder data in general bounded domains of . We aim…