Oleg Davydov

Orcid: 0000-0001-8813-9485

According to our database1, Oleg Davydov authored at least 42 papers between 2000 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
A positive meshless finite difference scheme for scalar conservation laws with adaptive artificial viscosity driven by fault detection.
CoRR, 2024

Meshless quadrature formulas arising from numerical differentiation.
CoRR, 2024

2023
Error bounds for a least squares meshless finite difference method on closed manifolds.
Adv. Comput. Math., August, 2023

Improved stencil selection for meshless finite difference methods in 3D.
J. Comput. Appl. Math., June, 2023

Overlap Splines and Meshless Finite Difference Methods.
CoRR, 2023

2020
Optimal approximation order of piecewise constants on convex partitions.
J. Complex., 2020

Approximation with Conditionally Positive Definite Kernels on Deficient Sets.
CoRR, 2020

2019
A flux-corrected RBF-FD method for convection dominated problems in domains and on manifolds.
J. Num. Math., 2019

Preface.
J. Approx. Theory, 2019

Selection of Sparse Sets of Influence for Meshless Finite Difference Methods.
CoRR, 2019

Fault and gradient fault detection and reconstruction from scattered data.
Comput. Aided Geom. Des., 2019

2018
Minimal numerical differentiation formulas.
Numerische Mathematik, 2018

2017
Error bounds for multiquadrics without added constants.
J. Approx. Theory, 2017

Adaptive RBF-FD method for elliptic problems with point singularities in 2D.
Appl. Math. Comput., 2017

2016
Error bounds for kernel-based numerical differentiation.
Numerische Mathematik, 2016

Polynomial finite element method for domains enclosed by piecewise conics.
Comput. Aided Geom. Des., 2016

2014
Two-stage approximation methods with extended B-splines.
Math. Comput., 2014

Approximation by sums of piecewise linear polynomials.
J. Approx. Theory, 2014

2013
Refinable C<sup>2</sup> piecewise quintic polynomials on Powell-Sabin-12 triangulations.
J. Comput. Appl. Math., 2013

Numerical solution of fully nonlinear elliptic equations by Böhmer's method.
J. Comput. Appl. Math., 2013

2012
A novel approach for improved tractography and quantitative analysis of probabilistic fibre tracking curves.
Medical Image Anal., 2012

Approximation by piecewise constants on convex partitions.
J. Approx. Theory, 2012

Macro-element Hierarchical Riesz Bases.
Proceedings of the Mathematical Methods for Curves and Surfaces, 2012

2011
Bernstein-Bézier Finite Elements of Arbitrary Order and Optimal Assembly Procedures.
SIAM J. Sci. Comput., 2011

Adaptive meshless centres and RBF stencils for Poisson equation.
J. Comput. Phys., 2011

Preface.
J. Comput. Appl. Math., 2011

On the optimal shape parameter for Gaussian radial basis function finite difference approximation of the Poisson equation.
Comput. Math. Appl., 2011

2010
A tension approach to controlling the shape of cubic spline surfaces on FVS triangulations.
J. Comput. Appl. Math., 2010

C<sup>2</sup> piecewise cubic quasi-interpolants on a 6-direction mesh.
J. Approx. Theory, 2010

Error bounds for anisotropic RBF interpolation.
J. Approx. Theory, 2010

A Novel White Matter Fibre Tracking Algorithm Using Probabilistic Tractography and Average Curves.
Proceedings of the Medical Image Computing and Computer-Assisted Intervention, 2010

Stable Splitting of Bivariate Splines Spaces by Bernstein-Bézier Methods.
Proceedings of the Curves and Surfaces, 2010

2007
Scattered Data Fitting on Surfaces Using Projected Powell-Sabin Splines.
Proceedings of the Mathematics of Surfaces XII, 2007

2006
Local hybrid approximation for scattered data fitting with bivariate splines.
Comput. Aided Geom. Des., 2006

2004
Scattered Data Fitting by Direct Extension of Local Polynomials to Bivariate Splines.
Adv. Comput. Math., 2004

2003
Nonlinear Approximation from Differentiable Piecewise Polynomials.
SIAM J. Math. Anal., 2003

Cubic Spline Prewavelets on the Four-Directional Mesh.
Found. Comput. Math., 2003

2002
Stable Approximation and Interpolation with <i>C</i><sup>1</sup> Quartic Bivariate Splines.
SIAM J. Numer. Anal., 2002

2001
Stable Local Bases for Multivariate Spline Spaces.
J. Approx. Theory, 2001

Box Spline Prewavelets of Small Support.
J. Approx. Theory, 2001

Smooth Approximation and Rendering of Large Scattered Data Sets.
Proceedings of the 12th IEEE Visualization Conference, 2001

2000
Locally linearly independent bases for bivariate polynomial spline spaces.
Adv. Comput. Math., 2000


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