Higher Order Derivative Estimates for Finite-difference Schemes for Linear Elliptic and Parabolic Equations
István Gyöngy and Nicolai Krylov
Source: Methods Appl. Anal. Volume 16, Number 2 (2009), 187-216.
Abstract
We give sufficient conditions under which solutions of finite-difference schemes in the space variable for second order possibly degenerate linear parabolic and elliptic equations admit estimates of spatial derivatives up to any given order independent of the mesh size.
Primary Subjects: 65M15, 35J70, 35K65
Keywords: Finite-difference approximations; linear elliptic; parabolic equations
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.maa/1257170935
Methods and Applications of Analysis
