Search Results - "Lovetskiy, Konstantin P."
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1
Numerical Integration of Highly Oscillatory Functions with and without Stationary Points
Published in Mathematics (Basel) (01-01-2024)“…This paper proposes an original approach to calculating integrals of rapidly oscillating functions, based on Levin’s algorithm, which reduces the search for an…”
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2
Seismic stability of oscillating building on kinematic supports
Published in Discrete and continuous models and applied computational science (15-12-2019)“…The design of kinematic supports is considered, which allows to damp the oscillation energy of seismic waves during earthquakes. The building rests on supports…”
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3
Finite-difference methods for solving 1D Poisson problem
Published in Discrete and continuous models and applied computational science (01-04-2022)“…The paper discusses the formulation and analysis of methods for solving the one-dimensional Poisson equation based on finite-difference approximations - an…”
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4
Multistage pseudo-spectral method (method of collocations) for the approximate solution of an ordinary differential equation of the first order
Published in Discrete and continuous models and applied computational science (03-05-2022)“…The classical pseudospectral collocation method based on the expansion of the solution in a basis of Chebyshev polynomials is considered. A new approach to…”
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5
Profile thickness synthesis of thin-film waveguide Luneburg lens
Published in Discrete and continuous models and applied computational science (26-12-2022)“…In the work the link between the focusing inhomogeneity of the effective refractive index of waveguide Luneburg lens and the irregularity of the waveguide…”
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6
Chebyshev collocation method for solving second order ODEs using integration matrices
Published in Discrete and continuous models and applied computational science (01-12-2023)“…The spectral collocation method for solving two-point boundary value problems for second order differential equations is implemented, based on representing the…”
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7
Numerical simulation of cold emission in coaxial diode with magnetic isolation
Published in Discrete and continuous models and applied computational science (05-10-2022)“…Due to the emergence and active development of new areas of application of powerful and super-powerful microwave vacuum devices, interest in studying the…”
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8
Numerical modeling of stationary pseudospin waves on a graphene monoatomic films
Published in Discrete and continuous models and applied computational science (15-12-2019)“…For the first time, the theoretical model of the spin-electron structure of a singlelayer graphene film was proposed by Wallace. The literature also describes…”
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9
Leaky waves in planar dielectric waveguide
Published in Discrete and continuous models and applied computational science (15-12-2019)“…A new analytical and numerical solution of the electrodynamic waveguide problem for leaky modes of a planar dielectric symmetric waveguide is proposed. The…”
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10
Multistage collocation pseudo-spectral method for the solution of the first order linear ODE
Published in 2022 VIII International Conference on Information Technology and Nanotechnology (ITNT) (23-05-2022)“…The two-stage method for solving ODEs is based on the interpolation of the coefficients of the derivative of the solution. Transforms with a spectral…”
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Conference Proceeding -
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Clenshaw algorithm in the interpolation problem by the Chebyshev collocation method
Published in Discrete and continuous models and applied computational science (01-10-2024)“…The article describes a method for calculating interpolation coefficients of expansion using Chebyshev polynomials. The method is valid when the desired…”
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12
On cyclotron damping of longitudinal wave
Published in Discrete and continuous models and applied computational science (01-06-2024)“…Average equations of motion of relativistic charged particles in the field of HF (high frequency) wave packets are obtained in the range of cyclotron resonance…”
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13
Application of the Chebyshev collocation method to solve boundary value problems of heat conduction
Published in Discrete and continuous models and applied computational science (01-06-2024)“…For one-dimensional inhomogeneous (with respect to the spatial variable) linear parabolic equations, a combined approach is used, dividing the original problem…”
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14
A new approach to the formation of systems of linear algebraic equations for solving ordinary differential equations by the collocation method
Published in Izvestiâ Saratovskogo universiteta. Novaâ seriâ. Seriâ Matematika. Mehanika. Informatika (Online) (01-03-2023)“…A new algorithm for the numerical solution of one-dimensional Cauchy problems and Poisson equations is implemented. The algorithm is based on the collocation…”
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15
Numerical integrating of highly oscillating functions: effective stable algorithms in case of linear phase
Published 08-04-2021“…A practical and simple stable method for calculating Fourier integrals is proposed, effective both at low and at high frequencies. An approach based on the…”
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