First derivatives estimates for finite-difference schemes

Istvan Gyongy, Nicolai Krylov

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)2019-2046
Number of pages28
JournalMathematics of computation
Issue number268
Publication statusPublished - Oct 2009


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