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Clenshaw algorithm in the interpolation problem by the Chebyshev collocation method
Lovetskiy K.P., Tiutiunnik A.A., Do Nascimento F.J.V., Boa Morte C.T.
Chebyshev polynomials. The method is valid when the desired function is bounded and has a finite number
Application of the Chebyshev collocation method to solve boundary value problems of heat conduction
Lovetskiy K.P., Sergeev S.V., Kulyabov D.S., Sevastianov L.A.
solution of which is based on the Chebyshev collocation method. The method was developed based
Numerical Integration of Highly Oscillatory Functions with and without Stationary Points
Lovetskiy K.P., Sevastianov L.A., Hnatič M., Kulyabov D.S.
interpolation when using the collocation method on Gauss–Lobatto grids, it is possible to achieve high speed
An effective stable numerical method for integrating highly oscillating functions with a linear phase
Sevastianov L.A., Lovetskiy K.P., Kulyabov D.S.
of the collocation method to approximate the slowly oscillating part of the antiderivative of the desired integral
Numerical solution of first-order exact differential equations by the integrating factor method; [Численное решение дифференциальных уравнений первого порядка в полных дифференциалах методом интегрирующего множителя]
Sevastianov L.A., Lovetskiy K.P., Kulyabov D.S., Sergeev S.V.
on the efficient calculation of integrating factors and on a "new" numerical method for integrating functions
Application of the Collocation Method for Solving the Problem of Diffraction of an Electromagnetic Wave by a Rectangular Metal Plate
Markina A., Tumakov D., Giniyatova D.
. The collocation method is applied to the equation with the representation of the sought functions in the form of a
Numerical solution of first-order exact differential equations by the integrating factor method
Sevastianov L.A., Lovetskiy K.P., Kulyabov D.S., Sergeev S.V.
on the efficient calculation of integrating factors and on a ''new'' numerical method for integrating functions
Multistage pseudo-spectral method (method of collocations) for the approximate solution of an ordinary differential equation of the first order
Lovetskiy K.P., Kulyabov D.S., Hissein A.W.
and computationally simple method of interpolation (collocation) of the derivative of the future solution
Stable Algorithm of Integrating Rapidly Oscillating Functions
Kulyabov D.S., Lovetskiy K.P., Nikolaev N.E., Sevastianov L.A.
on the Levin collocation method and describes the stable method of integration of rapidly oscillating functions
Regularized computation of oscillatory integrals with stationary points
Lovetskiy K.P., Sevastianov L.A., Kulyabov D.S., Nikolaev N.E.
of the system of ordinary differential equations. Using the Levin's collocation method, we reduce the problem

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