Higher order derivative estimates for finite-difference schemes

2008/05/20 by Gyöngy, István, Krylov, Nicolai
#35J60 #65M15 #93E20 #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.0805.3149

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.

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