First derivatives estimates for finite-difference schemes

István Gyöngy; Nicolai Krylov

doi:10.1090/S0025-5718-09-02229-7

First derivatives estimates for finite-difference schemes

István Gyöngy
, Nicolai Krylov

School of Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

We give suffcient 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 language	English (US)
Pages (from-to)	2019-2046
Number of pages	28
Journal	Mathematics of Computation
Volume	78
Issue number	268
DOIs	https://doi.org/10.1090/S0025-5718-09-02229-7
State	Published - Oct 2009

Keywords

Cauchy problem
Finite differences
First derivatives estimates

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10.1090/S0025-5718-09-02229-7

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title = "First derivatives estimates for finite-difference schemes",

abstract = "We give suffcient 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.",

keywords = "Cauchy problem, Finite differences, First derivatives estimates",

author = "Istv{\'a}n Gy{\"o}ngy and Nicolai Krylov",

year = "2009",

month = oct,

doi = "10.1090/S0025-5718-09-02229-7",

language = "English (US)",

volume = "78",

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journal = "Mathematics of Computation",

issn = "0025-5718",

publisher = "American Mathematical Society",

number = "268",

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TY - JOUR

T1 - First derivatives estimates for finite-difference schemes

AU - Gyöngy, István

AU - Krylov, Nicolai

PY - 2009/10

Y1 - 2009/10

N2 - We give suffcient 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.

AB - We give suffcient 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.

KW - Cauchy problem

KW - Finite differences

KW - First derivatives estimates

UR - https://www.scopus.com/pages/publications/70350000626

UR - https://www.scopus.com/pages/publications/70350000626#tab=citedBy

U2 - 10.1090/S0025-5718-09-02229-7

DO - 10.1090/S0025-5718-09-02229-7

M3 - Article

AN - SCOPUS:70350000626

SN - 0025-5718

VL - 78

SP - 2019

EP - 2046

JO - Mathematics of Computation

JF - Mathematics of Computation

IS - 268

ER -

First derivatives estimates for finite-difference schemes

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Keywords

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