English

On stochastic finite difference schemes

Probability 2013-10-01 v1

Abstract

Finite difference schemes in the spatial variable for degenerate stochastic parabolic PDEs are investigated. Sharp results on the rate of LpL_p and almost sure convergence of the finite difference approximations are presented and results on Richardson extrapolation are established for stochastic parabolic schemes under smoothness assumptions.

Keywords

Cite

@article{arxiv.1309.7610,
  title  = {On stochastic finite difference schemes},
  author = {Istvan Gyongy},
  journal= {arXiv preprint arXiv:1309.7610},
  year   = {2013}
}
R2 v1 2026-06-22T01:36:33.030Z