84 citations · 1.2k across the 128 of their papers we have counts for
Showing math.NAShow all
3 papers · 1 filter
math.NA2018
Numerical methods for the construction of linear waves structures on discrete orthogonal grids
Sergey Dvornikov, Maxim Dvornikov
We study the possibility for the implementation of linear wave structures on discrete grids with various dimensions. The systems of the first order differential equations for the s…
math.NA2004★ 6 cited
Spectral Properties of Numerical Differentiation
Maxim Dvornikov
We study the numerical differentiation formulae for functions given in grids with arbitrary number of nodes. We investigate the case of the infinite number of points in the formula…
math.NA2003★ 22 cited
Formulae of numerical differentiation
Maxim Dvornikov
We derived the formulae of central differentiation for the finding of the first and second derivatives of functions given in discrete points, with the number of points being arbitr…