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Generalized Collocation Method for Integro-Differential Equations in an Exceptional Case suggest and substantiate a generalized collocation method based on special interpolation polynomials.

Finite element method for solving the collective nuclear model with tetrahedral symmetry functions constructed with interpolation Lagrange polynomials on a triangle finite element grid and compare

A new approach to the formation of systems of linear algebraic equations for solving ordinary differential equations by the collocation method; [Новый подход к формированию систем линейных алгебраических уравнений для решения обыкновенных дифференциальных уравнений методом коллокаций] as an expansion in Chebyshev polynomials. It is proposed instead of the usual approach, which consists

Special version of the collocation method for integral equations of the second kind with singularities in the kernel suggest and justify a new version of the collocation method based on the use of special interpolation

Multidimensional Free Interpolation Framework for High-precision Modeling of Slant Total Electron Contents in Mid-latitude and Equatorial Regions content units). On the basis of the free interpolation framework we propose a new simple model

Combinatorial extensions of Popoviciu’s inequality via Abel-Gontscharoff polynomial with applications in information theory [Kombinatorna proširenja Popoviciuove nejednakosti preko Abel-Gontscharoffovih polinoma s primjenama u teoriji informacija] using Abel-Gontscharoff interpolating polynomial along with the aid of new Green functions. We construct

Functions of minimal norm with the given set of Fourier coefficientsFourier polynomial

ОЦЕНКА НОРМЫ ИНТЕРПОЛЯЦИОННОГО ОПЕРАТОРА ЭРМИТА-ФЕЙЕРА В ПРОСТРАНСТВАХ СОБОЛЕВАWe obtain an estimate of the norm of the Hermite-Fejer interpolation operator in one

Polynomial-time presentations of algebraic number fields
of the notion of polynomial time presentable structure we show that some natural presentations of the ordered

Special version of the collocation method for integral equations of the second kind with singularities in the kernel suggest and justify a new version of the collocation method based on the use of special interpolation

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