Oleg Davydov

Publication Activity (10 Years)

Years Active: 2000-2023
Publications (10 Years): 16

Top Topics

Unsatisfiable Cores

Finite Difference

Tree Decompositions

Top Venues

J. Approx. Theory

J. Comput. Appl. Math.

Numerische Mathematik

Publications

Oleg Davydov
Overlap Splines and Meshless Finite Difference Methods. CoRR (2023)
Oleg Davydov, Dang Thi Oanh, Ngo Manh Tuong
Improved stencil selection for meshless finite difference methods in 3D. J. Comput. Appl. Math. 425 (2023)
Oleg Davydov
Error bounds for a least squares meshless finite difference method on closed manifolds. Adv. Comput. Math. 49 (4) (2023)
Oleg Davydov, Dang Thi Oanh, Ngo Manh Tuong
Improved Stencil Selection for Meshless Finite Difference Methods in 3D. CoRR (2022)
Oleg Davydov
Approximation with Conditionally Positive Definite Kernels on Deficient Sets. CoRR (2020)
Oleg Davydov, Oleksandr Kozynenko, Dmytro S. Skorokhodov
Optimal approximation order of piecewise constants on convex partitions. J. Complex. 58 (2020)
Cesare Bracco, Oleg Davydov, Carlotta Giannelli, Alessandra Sestini
Fault and gradient fault detection and reconstruction from scattered data. Comput. Aided Geom. Des. 75 (2019)
Oleg Davydov
Selection of Sparse Sets of Influence for Meshless Finite Difference Methods. CoRR (2019)
Oleg Davydov
Error Bounds for a Least Squares Meshless Finite Difference Method on Closed Manifolds. CoRR (2019)
Elena E. Berdysheva, Martin D. Buhmann, Oleg Davydov
Preface. J. Approx. Theory 238 (2019)
Andriy Sokolov, Oleg Davydov, Dmitri Kuzmin, Alexander Westermann, Stefan Turek
A flux-corrected RBF-FD method for convection dominated problems in domains and on manifolds. J. Num. Math. 27 (4) (2019)
Oleg Davydov, Robert Schaback
Minimal numerical differentiation formulas. Numerische Mathematik 140 (3) (2018)
Dang Thi Oanh, Oleg Davydov, Hoang Xuan Phu
Adaptive RBF-FD method for elliptic problems with point singularities in 2D. Appl. Math. Comput. 313 (2017)
Martin D. Buhmann, Oleg Davydov
Error bounds for multiquadrics without added constants. J. Approx. Theory 219 (2017)
Oleg Davydov, Georgy V. Kostin, Abid Saeed
Polynomial finite element method for domains enclosed by piecewise conics. Comput. Aided Geom. Des. 45 (2016)
Oleg Davydov, Robert Schaback
Error bounds for kernel-based numerical differentiation. Numerische Mathematik 132 (2) (2016)
Oleg Davydov, Jennifer Prasiswa, Ulrich Reif
Two-stage approximation methods with extended B-splines. Math. Comput. 83 (286) (2014)
Oleg Davydov, Fabien Rabarison
Approximation by sums of piecewise linear polynomials. J. Approx. Theory 185 (2014)
Oleg Davydov, Wee Ping Yeo
piecewise quintic polynomials on Powell-Sabin-12 triangulations. J. Comput. Appl. Math. 240 (2013)
Oleg Davydov, Abid Saeed
Numerical solution of fully nonlinear elliptic equations by Böhmer's method. J. Comput. Appl. Math. 254 (2013)
Oleg Davydov
Approximation by piecewise constants on convex partitions. J. Approx. Theory 164 (2) (2012)
Nagulan Ratnarajah, Andrew Simmons, Oleg Davydov, Ali Hojjatoleslami
A novel approach for improved tractography and quantitative analysis of probabilistic fibre tracking curves. Medical Image Anal. 16 (1) (2012)
Oleg Davydov, Wee Ping Yeo
Macro-element Hierarchical Riesz Bases. MMCS (2012)
Oleg Davydov, Dang Thi Oanh
On the optimal shape parameter for Gaussian radial basis function finite difference approximation of the Poisson equation. Comput. Math. Appl. 62 (5) (2011)
Mark Ainsworth, Gaelle Andriamaro, Oleg Davydov
Bernstein-Bézier Finite Elements of Arbitrary Order and Optimal Assembly Procedures. SIAM J. Sci. Comput. 33 (6) (2011)
Oleg Davydov, Tim N. T. Goodman
Preface. J. Comput. Appl. Math. 236 (4) (2011)
Oleg Davydov, Dang Thi Oanh
Adaptive meshless centres and RBF stencils for Poisson equation. J. Comput. Phys. 230 (2) (2011)
Oleg Davydov, Abid Saeed
Stable Splitting of Bivariate Splines Spaces by Bernstein-Bézier Methods. Curves and Surfaces (2010)
Oleg Davydov, Paul Sablonnière
piecewise cubic quasi-interpolants on a 6-direction mesh. J. Approx. Theory 162 (3) (2010)
Nagulan Ratnarajah, Andrew Simmons, Oleg Davydov, Ali Hojjatoleslami
A Novel White Matter Fibre Tracking Algorithm Using Probabilistic Tractography and Average Curves. MICCAI (1) (2010)
Oleg Davydov, Carla Manni
A tension approach to controlling the shape of cubic spline surfaces on FVS triangulations. J. Comput. Appl. Math. 233 (7) (2010)
Richard K. Beatson, Oleg Davydov, Jeremy Levesley
Error bounds for anisotropic RBF interpolation. J. Approx. Theory 162 (3) (2010)
Oleg Davydov, Larry L. Schumaker
Scattered Data Fitting on Surfaces Using Projected Powell-Sabin Splines. IMA Conference on the Mathematics of Surfaces (2007)
Oleg Davydov, Rossana Morandi, Alessandra Sestini
Local hybrid approximation for scattered data fitting with bivariate splines. Comput. Aided Geom. Des. 23 (9) (2006)
Oleg Davydov, Frank Zeilfelder
Scattered Data Fitting by Direct Extension of Local Polynomials to Bivariate Splines. Adv. Comput. Math. 21 (3-4) (2004)
Oleg Davydov, Pencho Petrushev
Nonlinear Approximation from Differentiable Piecewise Polynomials. SIAM J. Math. Anal. 35 (3) (2003)
Martin D. Buhmann, Oleg Davydov, Tim N. T. Goodman
Cubic Spline Prewavelets on the Four-Directional Mesh. Found. Comput. Math. 3 (2) (2003)
Oleg Davydov, Larry L. Schumaker
Quartic Bivariate Splines. SIAM J. Numer. Anal. 39 (5) (2002)
Martin D. Buhmann, Oleg Davydov, Tim N. T. Goodman
Box Spline Prewavelets of Small Support. J. Approx. Theory 112 (1) (2001)
Oleg Davydov
Stable Local Bases for Multivariate Spline Spaces. J. Approx. Theory 111 (2) (2001)
Jörg Haber, Frank Zeilfelder, Oleg Davydov, Hans-Peter Seidel
Smooth Approximation and Rendering of Large Scattered Data Sets. IEEE Visualization (2001)
Oleg Davydov, Larry L. Schumaker
Locally linearly independent bases for bivariate polynomial spline spaces. Adv. Comput. Math. 13 (4) (2000)