First derivatives estimates for finite-difference schemes
Numerical Analysis
2015-05-13 v1 Analysis of PDEs
Abstract
We give sufficient conditions under which solutions of discretized in space second-order parabolic and elliptic equations, perhaps degenerate, admit estimates of the first derivatives in the space variables independent of the mesh size.
Cite
@article{arxiv.0802.1180,
title = {First derivatives estimates for finite-difference schemes},
author = {I. Gyongy and N. Krylov},
journal= {arXiv preprint arXiv:0802.1180},
year = {2015}
}
Comments
34 pages