3 papers
math.NA2023
Optimization of Adams-type difference formulas in Hilbert space
Kh. M. Shadimetov, R. S. Karimov
In this paper, we consider the problem of constructing new optimal explicit and implicit Adams-type difference formulas for finding an approximate solution to the Cauchy problem fo…
math.NA2020
Optimal quadrature formulas for non-periodic functions in Sobolev space and its application to CT image reconstruction
Abdullo R. Hayotov, Soomin Jeon, Chang-Ock Lee +1
In the present paper, optimal quadrature formulas in the sense of Sard are constructed for numerical integration of the integral with i…
math.NA2019
Construction of optimal quadrature formulas exact for exponentional-trigonometric functions by Sobolev's method
A. K. Boltaev, A. R. Hayotov, Kh. M. Shadimetov
The paper studies Sard's problem on construction of optimal quadrature formulas in the space by Sobolev's method. This problem consists of two parts: first calculatin…