English

Numerical solution to the Neumann problem in a Lipschitz domain, based on random walks

Probability 2024-07-08 v1

Abstract

We deal with probabilistic numerical solutions for linear elliptic equations with Neumann boundary conditions in a Lipschitz domain, by using a probabilistic numerical scheme introduced by Milstein and Tretyakov based on new numerical layer methods.

Keywords

Cite

@article{arxiv.2407.03346,
  title  = {Numerical solution to the Neumann problem in a Lipschitz domain, based on random walks},
  author = {Oana Lupascu-Stamate and Vasile Stanciulescu},
  journal= {arXiv preprint arXiv:2407.03346},
  year   = {2024}
}
R2 v1 2026-06-28T17:28:19.107Z