21 citations · 53 across the 11 of their papers we have counts for
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math.NA2019★ 10 cited
Error Bounds for a Least Squares Meshless Finite Difference Method on Closed Manifolds
Oleg Davydov
We present an error bound for a least squares version of the kernel based meshless finite difference method for elliptic differential equations on smooth compact manifolds of arbit…
math.NA2019★ 4 cited
Selection of Sparse Sets of Influence for Meshless Finite Difference Methods
Oleg Davydov
We suggest an efficient algorithm for the selection of sparse subsets of a set of influence for the numerical discretization of differential operators on irregular nodes with polyn…
math.FA2019★ 1 cited
Optimal approximation order of piecewise constants on convex partitions
Oleg Davydov, Oleksandr Kozynenko, Dmytro Skorokhodov
We prove that the error of the best nonlinear -approximation by piecewise constants on convex partitions is , where the number of…