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Multistage pseudo-spectral method (method of collocations) for the approximate solution of an ordinary differential equation of the first order of Chebyshev polynomials is considered. A new approach to constructing systems of linear algebraic equations

A Banach couple is determined by the collection of its interpolation spaces interpolation spaces, which extends a result by N. Aronszajn and E. Gagliardo. © 1998 American Mathematical

Interpolation of positive operatorsWe study problems of interpolation of positive linear operators in couples of ordered Banach spaces

ИСПРАВЛЕНИЕ ФУНКЦИЙ И ЛАКУНАРНАЯ ИНТЕРПОЛЯЦИЯWe prove that there exists a matrix of interpolation nodes Mγ with the properties: 1) Mγ

Numerical solution of first-order exact differential equations by the integrating factor method are presented as interpolation polynomials depending on a limited number of numerically recoverable expansion

Spline-interpolation solution of the heat equationSpline-interpolation solution of the heat equation

On Minimal Cubature Formulas Exact for Haar Polynomials of Low Degrees in the Two-Dimensional CaseOn Minimal Cubature Formulas Exact for Haar Polynomials of Low Degrees in the Two-Dimensional Case

Generalized discrete Fourier transform on the base of Lagrange and Hermite interpolation formulasGeneralized discrete Fourier transform on the base of Lagrange and Hermite interpolation formulas

Plane Partitions and Their Pedestal Polynomials
consider a generating multivariate polynomial of certain reverse partitions on S, called P-pedestals. We

Craig interpolation property in modal logics with provability interpretationsCraig interpolation property in modal logics with provability interpretations

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