Locally linearly independent bases for bivariate polynomial spline spaces. - Oleg Davydov; Larry L. Schumaker (Adv. Comput. Math., 2000)

Smooth Approximation and Rendering of Large Scattered Data Sets. - Jörg Haber; Frank Zeilfelder; Oleg Davydov; Hans-Peter Seidel (IEEE Visualization, 2001)

Box Spline Prewavelets of Small Support. - Martin D. Buhmann; Oleg Davydov; Tim N. T. Goodman (J. Approx. Theory, 2001)

Stable Local Bases for Multivariate Spline Spaces. - Oleg Davydov (J. Approx. Theory, 2001)

Stable Approximation and Interpolation with C1 Quartic Bivariate Splines. - Oleg Davydov; Larry L. Schumaker (SIAM J. Numer. Anal., 2002)

Cubic Spline Prewavelets on the Four-Directional Mesh. - Martin D. Buhmann; Oleg Davydov; Tim N. T. Goodman (Found. Comput. Math., 2003)

Nonlinear Approximation from Differentiable Piecewise Polynomials. - Oleg Davydov; Pencho Petrushev (SIAM J. Math. Anal., 2003)

Scattered Data Fitting by Direct Extension of Local Polynomials to Bivariate Splines. - Oleg Davydov; Frank Zeilfelder (Adv. Comput. Math., 2004)

Local hybrid approximation for scattered data fitting with bivariate splines. - Oleg Davydov; Rossana Morandi; Alessandra Sestini (Comput. Aided Geom. Des., 2006)

Scattered Data Fitting on Surfaces Using Projected Powell-Sabin Splines. - Oleg Davydov; Larry L. Schumaker (IMA Conference on the Mathematics of Surfaces, 2007)

Stable Splitting of Bivariate Splines Spaces by Bernstein-Bézier Methods. - Oleg Davydov; Abid Saeed (Curves and Surfaces, 2010)

A Novel White Matter Fibre Tracking Algorithm Using Probabilistic Tractography and Average Curves. - Nagulan Ratnarajah; Andrew Simmons 001; Oleg Davydov; Ali Hojjatoleslami (MICCAI (1), 2010)

Error bounds for anisotropic RBF interpolation. - Richard K. Beatson; Oleg Davydov; Jeremy Levesley (J. Approx. Theory, 2010)

C2 piecewise cubic quasi-interpolants on a 6-direction mesh. - Oleg Davydov; Paul Sablonnière (J. Approx. Theory, 2010)

A tension approach to controlling the shape of cubic spline surfaces on FVS triangulations. - Oleg Davydov; Carla Manni (J. Comput. Appl. Math., 2010)

On the optimal shape parameter for Gaussian radial basis function finite difference approximation of the Poisson equation. - Oleg Davydov; Dang Thi Oanh (Comput. Math. Appl., 2011)

Preface. - Oleg Davydov; Tim N. T. Goodman (J. Comput. Appl. Math., 2011)

Adaptive meshless centres and RBF stencils for Poisson equation. - Oleg Davydov; Dang Thi Oanh (J. Comput. Phys., 2011)

Bernstein-Bézier Finite Elements of Arbitrary Order and Optimal Assembly Procedures. - Mark Ainsworth; Gaelle Andriamaro; Oleg Davydov (SIAM J. Sci. Comput., 2011)

Macro-element Hierarchical Riesz Bases. - Oleg Davydov; Wee Ping Yeo (MMCS, 2012)

Approximation by piecewise constants on convex partitions. - Oleg Davydov (J. Approx. Theory, 2012)

A novel approach for improved tractography and quantitative analysis of probabilistic fibre tracking curves. - Nagulan Ratnarajah; Andrew Simmons 001; Oleg Davydov; Ali Hojjatoleslami (Medical Image Anal., 2012)

Numerical solution of fully nonlinear elliptic equations by Böhmer's method. - Oleg Davydov; Abid Saeed (J. Comput. Appl. Math., 2013)

Refinable C2 piecewise quintic polynomials on Powell-Sabin-12 triangulations. - Oleg Davydov; Wee Ping Yeo (J. Comput. Appl. Math., 2013)

Approximation by sums of piecewise linear polynomials. - Oleg Davydov; Fabien Rabarison (J. Approx. Theory, 2014)

Two-stage approximation methods with extended B-splines. - Oleg Davydov; Jennifer Prasiswa; Ulrich Reif (Math. Comput., 2014)

Polynomial finite element method for domains enclosed by piecewise conics. - Oleg Davydov; Georgy V. Kostin; Abid Saeed (Comput. Aided Geom. Des., 2016)

Error bounds for kernel-based numerical differentiation. - Oleg Davydov; Robert Schaback (Numerische Mathematik, 2016)

Adaptive RBF-FD method for elliptic problems with point singularities in 2D. - Dang Thi Oanh; Oleg Davydov; Hoang Xuan Phu (Appl. Math. Comput., 2017)

Error bounds for multiquadrics without added constants. - Martin D. Buhmann; Oleg Davydov (J. Approx. Theory, 2017)

Minimal numerical differentiation formulas. - Oleg Davydov; Robert Schaback (Numerische Mathematik, 2018)

Fault and gradient fault detection and reconstruction from scattered data. - Cesare Bracco; Oleg Davydov; Carlotta Giannelli; Alessandra Sestini (Comput. Aided Geom. Des., 2019)

Selection of Sparse Sets of Influence for Meshless Finite Difference Methods. - Oleg Davydov (CoRR, 2019)

Preface. - Elena E. Berdysheva; Martin D. Buhmann; Oleg Davydov (J. Approx. Theory, 2019)

A flux-corrected RBF-FD method for convection dominated problems in domains and on manifolds. - Andriy Sokolov; Oleg Davydov; Dmitri Kuzmin; Alexander Westermann; Stefan Turek (J. Num. Math., 2019)

Approximation with Conditionally Positive Definite Kernels on Deficient Sets. - Oleg Davydov (CoRR, 2020)

Optimal approximation order of piecewise constants on convex partitions. - Oleg Davydov; Oleksandr Kozynenko; Dmytro S. Skorokhodov (J. Complex., 2020)

Overlap Splines and Meshless Finite Difference Methods. - Oleg Davydov (CoRR, 2023)

Improved stencil selection for meshless finite difference methods in 3D. - Oleg Davydov; Dang Thi Oanh; Ngo Manh Tuong (J. Comput. Appl. Math., 2023)

Error bounds for a least squares meshless finite difference method on closed manifolds. - Oleg Davydov (Adv. Comput. Math., 2023)

Meshless quadrature formulas arising from numerical differentiation. - Oleg Davydov; Bruno Degli Esposti (CoRR, 2024)

A positive meshless finite difference scheme for scalar conservation laws with adaptive artificial viscosity driven by fault detection. - Cesare Bracco; Oleg Davydov; Carlotta Giannelli; Alessandra Sestini (Comput. Math. Appl., 2025)

On optimal recovery of unbounded operators from inaccurate data. - Oleg Davydov; Sergei G. Solodky (CoRR, 2025)