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Compound Cubature Formulas on a Lattice

Kh. M. ShadimetovRomanovskiy Institute of Mathematics, Academy of Sciences of the Republic of Uzbekistan, 100174, Tashkent, Republic of UzbekistanN. Kh. MamatovaBukhara State University, 200118, Bukhara, Republic of Uzbekistan
Russian Mathematicsjournal2023en
ABI

Abstract

In the present paper the lattice optimal cubature formulas are constructed by the variational method in the Sobolev space. In addition, the square of the norm of the error functional of the constructed lattice optimal cubature formulas in the conjugate Sobolev space is explicitly calculated.

Topics

Advanced Numerical Analysis TechniquesPolynomial and algebraic computationComputational Geometry and Mesh Generation

Identifiers

DOI
10.3103/s1066369x23110087

Citations and references

Cited by 39 references
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