Oleg Davydov

According to our database, Oleg Davydov authored at least 40 papers between 2000 and 2023.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2023

Error bounds for a least squares meshless finite difference method on closed manifolds.

Oleg Davydov

Adv. Comput. Math., August, 2023

Improved stencil selection for meshless finite difference methods in 3D.

Oleg Davydov, Dang Thi Oanh, Ngo Manh Tuong

J. Comput. Appl. Math., June, 2023

Overlap Splines and Meshless Finite Difference Methods.

Oleg Davydov

CoRR, 2023

2020

Optimal approximation order of piecewise constants on convex partitions.

Oleg Davydov, Oleksandr Kozynenko, Dmytro S. Skorokhodov

J. Complex., 2020

Approximation with Conditionally Positive Definite Kernels on Deficient Sets.

Oleg Davydov

CoRR, 2020

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

Preface.

Elena E. Berdysheva, Martin D. Buhmann, Oleg Davydov

J. Approx. Theory, 2019

Selection of Sparse Sets of Influence for Meshless Finite Difference Methods.

Oleg Davydov

CoRR, 2019

Fault and gradient fault detection and reconstruction from scattered data.

Cesare Bracco, Oleg Davydov, Carlotta Giannelli, Alessandra Sestini

Comput. Aided Geom. Des., 2019

2018

Minimal numerical differentiation formulas.

Oleg Davydov, Robert Schaback

Numerische Mathematik, 2018

2017

Error bounds for multiquadrics without added constants.

Martin D. Buhmann, Oleg Davydov

J. Approx. Theory, 2017

Adaptive RBF-FD method for elliptic problems with point singularities in 2D.

Dang Thi Oanh, Oleg Davydov, Hoang Xuan Phu

Appl. Math. Comput., 2017

2016

Error bounds for kernel-based numerical differentiation.

Oleg Davydov, Robert Schaback

Numerische Mathematik, 2016

Polynomial finite element method for domains enclosed by piecewise conics.

Oleg Davydov, Georgy V. Kostin, Abid Saeed

Comput. Aided Geom. Des., 2016

2014

Two-stage approximation methods with extended B-splines.

Oleg Davydov, Jennifer Prasiswa, Ulrich Reif

Math. Comput., 2014

Approximation by sums of piecewise linear polynomials.

Oleg Davydov, Fabien Rabarison

J. Approx. Theory, 2014

2013

Refinable C² piecewise quintic polynomials on Powell-Sabin-12 triangulations.

Oleg Davydov, Wee Ping Yeo

J. Comput. Appl. Math., 2013

Numerical solution of fully nonlinear elliptic equations by Böhmer's method.

Oleg Davydov, Abid Saeed

J. Comput. Appl. Math., 2013

2012

A novel approach for improved tractography and quantitative analysis of probabilistic fibre tracking curves.

Nagulan Ratnarajah, Andrew Simmons, Oleg Davydov, Ali Hojjatoleslami

Medical Image Anal., 2012

Approximation by piecewise constants on convex partitions.

Oleg Davydov

J. Approx. Theory, 2012

Macro-element Hierarchical Riesz Bases.

Oleg Davydov, Wee Ping Yeo

Proceedings of the Mathematical Methods for Curves and Surfaces, 2012

2011

Bernstein-Bézier Finite Elements of Arbitrary Order and Optimal Assembly Procedures.

Mark Ainsworth, Gaelle Andriamaro, Oleg Davydov

SIAM J. Sci. Comput., 2011

Adaptive meshless centres and RBF stencils for Poisson equation.

Oleg Davydov, Dang Thi Oanh

J. Comput. Phys., 2011

Preface.

Oleg Davydov, Tim N. T. Goodman

J. Comput. Appl. Math., 2011

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

2010

A tension approach to controlling the shape of cubic spline surfaces on FVS triangulations.

Oleg Davydov, Carla Manni

J. Comput. Appl. Math., 2010

C² piecewise cubic quasi-interpolants on a 6-direction mesh.

Oleg Davydov, Paul Sablonnière

J. Approx. Theory, 2010

Error bounds for anisotropic RBF interpolation.

Richard K. Beatson, Oleg Davydov, Jeremy Levesley

J. Approx. Theory, 2010

A Novel White Matter Fibre Tracking Algorithm Using Probabilistic Tractography and Average Curves.

Nagulan Ratnarajah, Andrew Simmons, Oleg Davydov, Ali Hojjatoleslami

Proceedings of the Medical Image Computing and Computer-Assisted Intervention, 2010

Stable Splitting of Bivariate Splines Spaces by Bernstein-Bézier Methods.

Oleg Davydov, Abid Saeed

Proceedings of the Curves and Surfaces, 2010

2007

Scattered Data Fitting on Surfaces Using Projected Powell-Sabin Splines.

Oleg Davydov, Larry L. Schumaker

Proceedings of the Mathematics of Surfaces XII, 2007

2006

Local hybrid approximation for scattered data fitting with bivariate splines.

Oleg Davydov, Rossana Morandi, Alessandra Sestini

Comput. Aided Geom. Des., 2006

2004

Scattered Data Fitting by Direct Extension of Local Polynomials to Bivariate Splines.

Oleg Davydov, Frank Zeilfelder

Adv. Comput. Math., 2004

2003

Nonlinear Approximation from Differentiable Piecewise Polynomials.

Oleg Davydov, Pencho Petrushev

SIAM J. Math. Anal., 2003

Cubic Spline Prewavelets on the Four-Directional Mesh.

Martin D. Buhmann, Oleg Davydov, Tim N. T. Goodman

Found. Comput. Math., 2003

2002

Stable Approximation and Interpolation with <i>C</i>¹ Quartic Bivariate Splines.

Oleg Davydov, Larry L. Schumaker

SIAM J. Numer. Anal., 2002

2001

Stable Local Bases for Multivariate Spline Spaces.

Oleg Davydov

J. Approx. Theory, 2001

Box Spline Prewavelets of Small Support.

Martin D. Buhmann, Oleg Davydov, Tim N. T. Goodman

J. Approx. Theory, 2001

Smooth Approximation and Rendering of Large Scattered Data Sets.

Jörg Haber, Frank Zeilfelder, Oleg Davydov, Hans-Peter Seidel

Proceedings of the 12th IEEE Visualization Conference, 2001

2000

Locally linearly independent bases for bivariate polynomial spline spaces.

Oleg Davydov, Larry L. Schumaker

Adv. Comput. Math., 2000