English

Higher order derivative estimates for finite-difference schemes

Numerical Analysis 2008-05-21 v1 Analysis of PDEs

Abstract

We give sufficient conditions under which solutions of finite-difference schemes in the space variable for second order possibly degenerate parabolic and elliptic equations admit estimates of spatial derivatives up to any given order independent of the mesh size.

Keywords

Cite

@article{arxiv.0805.3149,
  title  = {Higher order derivative estimates for finite-difference schemes},
  author = {István Gyöngy and Nicolai Krylov},
  journal= {arXiv preprint arXiv:0805.3149},
  year   = {2008}
}

Comments

29 pages

R2 v1 2026-06-21T10:42:38.144Z