2 papers
math.NA2026
On the error bounds of the Gauss-type quadrature formulae associated with spaces of parabolic and cubic spline functions with double equidistant knots
Geno Nikolov, Petar B. Nikolov
In two papers from 1995 P. Köhler and G. Nikolov showed that Gauss--type quadrature formulae associated with spaces of spline functions with equidistant knots are asymptotically o…
math.NA2024
Modified Trapezoidal Product Cubature Rules. Definiteness, Monotonicity and a Posteriori Error Estimates
Geno Nikolov, Petar Nikolov
We study two modifications of the trapezoidal product cubature formulae, approximating double integrals over the square domain . Our modified cubature fo…