Results 1 to 10 of about 97 (91)

Construction of optimal interpolation formula exact for trigonometric functions by Sobolev’s method

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2022
The paper is devoted to derivation of the optimal interpolation formula in W2(0,2)(0,1) Hilbert space by Sobolev’s method. Here the interpolation formula consists of a linear combination   ΣNβ=0Cβφ(xβ) of the given values of a function φ from the space ...
Shadimetov, Kh.M., Boltaev, A.K., Parovik, R.I.   +2 more
doaj   +1 more source

IDENTIFICATION OF THE RIGHT HAND SIDE OF A QUASILINEAR PSEUDOPARABOLIC EQUATION WITH MEMORY TERM

Вестник КазНУ. Серия математика, механика, информатика, 2021
The study of equations of mathematical physics, including inverse problems, is relevant today. This work is devoted to the fundamental problem of studying the solvability and qualitative properties of the solution of the inverse problem for a ...
S. E. Aitzhanov, G. R. Ashurova, K. A. Zhalgassova   +2 more
doaj   +1 more source

Optimal quadrature formulas for oscillatory integrals in the Sobolev space

Journal of Inequalities and Applications, 2022
This work studies the problem of construction of optimal quadrature formulas in the sense of Sard in the space L 2 ( m ) ( 0 , 1 ) $L_{2}^{(m)}(0,1)$ for numerical calculation of Fourier coefficients. Using Sobolev’s method, we obtain new sine and cosine
Kholmat Shadimetov, Abdullo Hayotov, Bakhromjon Bozarov   +2 more
doaj   +1 more source

An exponential-trigonometric spline minimizing a seminorm in a Hilbert space

Advances in Difference Equations, 2020
In the present paper, using the discrete analogue of the operator d 6 / d x 6 − 1 $\mathrm{d} ^{6}/\mathrm{d} x^{6}-1$ , we construct an interpolation spline that minimizes the quantity ∫ 0 1 ( φ ‴ ( x ) + φ ( x ) ) 2 d x $\int _{0}^{1}(\varphi {'''}(x)+\
Kholmat M. Shadimetov, Aziz K. Boltaev
doaj   +1 more source

Calculation of Coefficients of the Optimal Quadrature Formulas in ${\mathit{W}}_2^{(7,0)}$ Space

Axioms
In this paper, we construct an optimal quadrature formula in the sense of Sard by Sobolev’s method in the W2(7,0) space. We give explicit expressions for the corresponding optimal coefficients.
Ying Yang, Xuehua Li
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On a Method for Constructing Optimal Difference Formulas Using Discrete Operators with Variable Coefficients

Algorithms
This paper deals with the problem of constructing optimal difference formulas in the Hilbert space H2m0,1 through Sobolev’s method. Firstly, Sobolev’s method of construction of optimal difference formulas in the Hilbert space H2m0,1, which is based on ...
Kholmat Shadimetov, Shermamat Esanov
doaj   +1 more source

On solution of a nonlocal problem with dynamic boundary conditions for a loaded linear parabolic equation by straight-line methods

Bulletin of Computational Applied Mathematics, 2017
We consider a nonlocal problem with dynamic boundary conditions for a loaded linear parabolic equation. For this problem we prove the unique solvability in Sobolev's spaces and the maximum principle under some natural conditions.
Zakir Khankishiyev
doaj  

Sobolev’s Method for Hammerstein Integral Equations [PDF]

, 2006
Alaa A. El‐Bary
openalex   +1 more source

Uniqueness of Solutions to Nonlinear Schrödinger Equations from their Zeros. [PDF]

Ann PDE, 2022
Kehle C, Ramos JPG.
europepmc   +1 more source

An improved method using adaptive smoothing for GNSS tomographic imaging of ionosphere. [PDF]

PLoS One, 2021
Jia R, Yu X, Xing J, Ning Y, Sun H.
europepmc   +1 more source