arXiv subjects

N. Krylov

Publications and source records attributed to N. Krylov.

2 recordsLinked to original sources

arXiv2009

Accelerated finite difference schemes for second order degenerate elliptic and parabolic problems in the whole space

We give sufficient conditions under which the convergence of finite difference approximations in the space variable of possibly degenerate second order parabolic and elliptic equations can be accelerated to any given order of convergence by Richardson's method.

math.AP↗

arXiv2008

First derivatives estimates for finite-difference schemes

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.

math.NA↗