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ORCIDOleg Davydov
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2020 – today
- 2024
[i7]Oleg Davydov, Bruno Degli Esposti:
Meshless quadrature formulas arising from numerical differentiation. CoRR abs/2409.03567 (2024)- [i6]Cesare Bracco, Oleg Davydov, Carlotta Giannelli, Alessandra Sestini:
A positive meshless finite difference scheme for scalar conservation laws with adaptive artificial viscosity driven by fault detection. CoRR abs/2409.15544 (2024) - 2023
- [j32]Oleg Davydov
:
Error bounds for a least squares meshless finite difference method on closed manifolds. Adv. Comput. Math. 49(4): 48 (2023) - [j31]Oleg Davydov, Dang Thi Oanh, Ngo Manh Tuong:
Improved stencil selection for meshless finite difference methods in 3D. J. Comput. Appl. Math. 425: 115031 (2023) - [i5]Oleg Davydov:
Overlap Splines and Meshless Finite Difference Methods. CoRR abs/2306.02391 (2023) - 2022
- [i4]Oleg Davydov, Dang Thi Oanh, Ngo Manh Tuong:
Improved Stencil Selection for Meshless Finite Difference Methods in 3D. CoRR abs/2202.06426 (2022) - 2020
- [j30]Oleg Davydov, Oleksandr Kozynenko, Dmytro S. Skorokhodov:
Optimal approximation order of piecewise constants on convex partitions. J. Complex. 58: 101444 (2020) - [i3]Oleg Davydov:
Approximation with Conditionally Positive Definite Kernels on Deficient Sets. CoRR abs/2006.13543 (2020)
2010 – 2019
- 2019
- [j29]Cesare Bracco, Oleg Davydov, Carlotta Giannelli, Alessandra Sestini:
Fault and gradient fault detection and reconstruction from scattered data. Comput. Aided Geom. Des. 75 (2019) - [j28]Elena E. Berdysheva, Martin D. Buhmann, Oleg Davydov:
Preface. J. Approx. Theory 238: 1-2 (2019) - [j27]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): 253-269 (2019) - [i2]Oleg Davydov:
Selection of Sparse Sets of Influence for Meshless Finite Difference Methods. CoRR abs/1908.01567 (2019) - [i1]Oleg Davydov:
Error Bounds for a Least Squares Meshless Finite Difference Method on Closed Manifolds. CoRR abs/1910.03359 (2019) - 2018
- [j26]Oleg Davydov, Robert Schaback:
Minimal numerical differentiation formulas. Numerische Mathematik 140(3): 555-592 (2018) - 2017
- [j25]Dang Thi Oanh, Oleg Davydov, Hoang Xuan Phu:
Adaptive RBF-FD method for elliptic problems with point singularities in 2D. Appl. Math. Comput. 313: 474-497 (2017) - [j24]Martin D. Buhmann, Oleg Davydov:
Error bounds for multiquadrics without added constants. J. Approx. Theory 219: 1-14 (2017) - 2016
- [j23]Oleg Davydov, Georgy V. Kostin, Abid Saeed:
Polynomial finite element method for domains enclosed by piecewise conics. Comput. Aided Geom. Des. 45: 48-72 (2016) - [j22]Oleg Davydov, Robert Schaback:
Error bounds for kernel-based numerical differentiation. Numerische Mathematik 132(2): 243-269 (2016) - 2014
- [j21]Oleg Davydov, Fabien Rabarison:
Approximation by sums of piecewise linear polynomials. J. Approx. Theory 185: 107-123 (2014) - [j20]Oleg Davydov, Jennifer Prasiswa, Ulrich Reif:
Two-stage approximation methods with extended B-splines. Math. Comput. 83(286): 809-833 (2014) - 2013
- [j19]Oleg Davydov, Wee Ping Yeo:
Refinable C2 piecewise quintic polynomials on Powell-Sabin-12 triangulations. J. Comput. Appl. Math. 240: 62-73 (2013) - [j18]Oleg Davydov, Abid Saeed:
Numerical solution of fully nonlinear elliptic equations by Böhmer's method. J. Comput. Appl. Math. 254: 43-54 (2013) - 2012
- [j17]Oleg Davydov:
Approximation by piecewise constants on convex partitions. J. Approx. Theory 164(2): 346-352 (2012) - [j16]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): 227-238 (2012) - [c5]Oleg Davydov, Wee Ping Yeo:
Macro-element Hierarchical Riesz Bases. MMCS 2012: 112-134 - 2011
- [j15]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): 2143-2161 (2011) - [j14]Oleg Davydov, Tim N. T. Goodman:
Preface. J. Comput. Appl. Math. 236(4): 423 (2011) - [j13]Oleg Davydov, Dang Thi Oanh:
Adaptive meshless centres and RBF stencils for Poisson equation. J. Comput. Phys. 230(2): 287-304 (2011) - [j12]Mark Ainsworth, Gaelle Andriamaro, Oleg Davydov:
Bernstein-Bézier Finite Elements of Arbitrary Order and Optimal Assembly Procedures. SIAM J. Sci. Comput. 33(6): 3087-3109 (2011) - 2010
- [j11]Richard K. Beatson, Oleg Davydov, Jeremy Levesley:
Error bounds for anisotropic RBF interpolation. J. Approx. Theory 162(3): 512-527 (2010) - [j10]Oleg Davydov, Paul Sablonnière:
C2 piecewise cubic quasi-interpolants on a 6-direction mesh. J. Approx. Theory 162(3): 528-544 (2010) - [j9]Oleg Davydov, Carla Manni:
A tension approach to controlling the shape of cubic spline surfaces on FVS triangulations. J. Comput. Appl. Math. 233(7): 1674-1684 (2010) - [c4]Oleg Davydov, Abid Saeed:
Stable Splitting of Bivariate Splines Spaces by Bernstein-Bézier Methods. Curves and Surfaces 2010: 220-235 - [c3]Nagulan Ratnarajah, Andrew Simmons, Oleg Davydov, Ali Hojjatoleslami:
A Novel White Matter Fibre Tracking Algorithm Using Probabilistic Tractography and Average Curves. MICCAI (1) 2010: 666-673
2000 – 2009
- 2007
- [c2]Oleg Davydov, Larry L. Schumaker:
Scattered Data Fitting on Surfaces Using Projected Powell-Sabin Splines. IMA Conference on the Mathematics of Surfaces 2007: 138-153 - 2006
- [j8]Oleg Davydov, Rossana Morandi, Alessandra Sestini:
Local hybrid approximation for scattered data fitting with bivariate splines. Comput. Aided Geom. Des. 23(9): 703-721 (2006) - 2004
- [j7]Oleg Davydov, Frank Zeilfelder:
Scattered Data Fitting by Direct Extension of Local Polynomials to Bivariate Splines. Adv. Comput. Math. 21(3-4): 223-271 (2004) - 2003
- [j6]Martin D. Buhmann, Oleg Davydov, Tim N. T. Goodman:
Cubic Spline Prewavelets on the Four-Directional Mesh. Found. Comput. Math. 3(2): 113-133 (2003) - [j5]Oleg Davydov, Pencho Petrushev:
Nonlinear Approximation from Differentiable Piecewise Polynomials. SIAM J. Math. Anal. 35(3): 708-758 (2003) - 2002
- [j4]Oleg Davydov, Larry L. Schumaker:
Stable Approximation and Interpolation with C1 Quartic Bivariate Splines. SIAM J. Numer. Anal. 39(5): 1732-1748 (2002) - 2001
- [j3]Oleg Davydov:
Stable Local Bases for Multivariate Spline Spaces. J. Approx. Theory 111(2): 267-297 (2001) - [j2]Martin D. Buhmann, Oleg Davydov, Tim N. T. Goodman:
Box Spline Prewavelets of Small Support. J. Approx. Theory 112(1): 16-27 (2001) - [c1]Jörg Haber, Frank Zeilfelder, Oleg Davydov, Hans-Peter Seidel:
Smooth Approximation and Rendering of Large Scattered Data Sets. IEEE Visualization 2001: 341-348 - 2000
- [j1]Oleg Davydov, Larry L. Schumaker:
Locally linearly independent bases for bivariate polynomial spline spaces. Adv. Comput. Math. 13(4): 355-373 (2000)
Coauthor Index
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