Ausgewählte Puplikationen
- Davydov O. (2023) Error bounds for a least squares meshless finite difference method on closed manifolds. Adv Comput Math 49: 48.
- Davydov O, Oanh DT, Tuong NM. (2023) Improved stencil selection for meshless finite difference methods in 3D. J Comput Appl Math 425: 115031.
- Suchde P, and Jacquemin T, Davydov O. (2022) Point cloud generation for meshfree methods: An overview. Arch Comput Method E
- Davydov O, Kozynenko O, Skorokhodov D. (2020) Optimal approximation order of piecewise constants on convex partitions. J Complexity, 58: 101444.
- Sokolov A, Davydov O, Kuzmin D, Westermann A, Turek S. (2019) A flux-corrected RBF-FD method for convection dominated problems in domains and on manifolds. J Numer Math 27: 253-269.
- Oanh DT, Davydov O, Phu HX. (2017) Adaptive RBF-FD method for elliptic problems with point singularities in 2D. Appl Math Comput 313: 474-497.
- Davydov O, Schaback R. (2016) Error bounds for kernel-based numerical differentiation. Numer Math 132: 243-269.
- Ainsworth M, Davydov O, Schumaker LL. (2016) Bernstein-Bézier finite elements on tetrahedral–hexahedral–pyramidal partitions. Comput Method Appl M 304: 140-170.
- Ainsworth M, Andriamaro G, Davydov O. (2015) A Bernstein–Bézier basis for arbitrary order Raviart–Thomas finite elements. Constr Approx 41: 1-22.