Sergiy V. Borodachov

Publication Activity (10 Years)

Years Active: 2007-2023
Publications (10 Years): 5

Top Topics

Spherical Harmonics

Energy Minimization

Top Venues

J. Approx. Theory

Discret. Comput. Geom.

Found. Comput. Math.

Publications

Sergiy V. Borodachov
Absolute minima of potentials of certain regular spherical configurations. J. Approx. Theory 294 (2023)
Sergiy V. Borodachov
Universal minima of potentials of certain spherical designs contained in the fewest parallel hyperplanes. CoRR (2023)
Sergiy V. Borodachov
Pointwise optimal multivariate spline method for recovery of twice differentiable functions on a simplex. CoRR (2022)
Sergiy V. Borodachov
Polarization Problem on a Higher-Dimensional Sphere for a Simplex. Discret. Comput. Geom. 67 (2) (2022)
Sergiy V. Borodachov
Optimal recovery of three times differentiable functions on a convex polytope inscribed in a sphere. J. Approx. Theory 234 (2018)
Sergiy V. Borodachov, Douglas P. Hardin, Edward B. Saff
Low Complexity Methods For Discretizing Manifolds Via Riesz Energy Minimization. Found. Comput. Math. 14 (6) (2014)
Sergiy V. Borodachov, Tatyana Sorokina
Optimal recovery of twice differentiable functions based on symmetric splines. J. Approx. Theory 164 (10) (2012)
Vladislav F. Babenko, Sergiy V. Borodachov, Dmytro S. Skorokhodov
Optimal cubature formulas for tensor products of certain classes of functions. J. Complex. 27 (6) (2011)
Vladislav F. Babenko, Sergiy V. Borodachov, Dmytro S. Skorokhodov
Optimal recovery of isotropic classes of twice-differentiable multivariate functions. J. Complex. 26 (6) (2010)
Sergiy V. Borodachov, Yang Wang
Asymptotic White noise Hypothesis for PCM quantization. CISS (2008)
Vladislav F. Babenko, Sergiy V. Borodachov
On the construction of optimal cubature formulae which use integrals over hyperspheres. J. Complex. 23 (3) (2007)