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[HTML][HTML] Multistage pseudo-spectral method (method of collocations) for the approximate solution of an ordinary differential equation of the first order
HA Weddeye - Discrete and continuous models and applied …, 2022 - cyberleninka.ru
The classical pseudospectral collocation method based on the expansion of the solution in a
basis of Chebyshev polynomials is considered. A new approach to constructing systems of …
basis of Chebyshev polynomials is considered. A new approach to constructing systems of …
Multistage collocation pseudo-spectral method for the solution of the first order linear ODE
LA Sevastianov, KP Lovetskiy… - 2022 VIII International …, 2022 - ieeexplore.ieee.org
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 integration matrix gives a part of the …
the derivative of the solution. Transforms with a spectral integration matrix gives a part of the …
Numerical Integration of Highly Oscillatory Functions with and without Stationary Points
This paper proposes an original approach to calculating integrals of rapidly oscillating
functions, based on Levin's algorithm, which reduces the search for an anti-derivative …
functions, based on Levin's algorithm, which reduces the search for an anti-derivative …
High-order non-uniform grid scheme for numerical analysis of queueing system with a small parameter
SA Vasilyev, MA Bouatta, GO Tsareva - Proceedings of the Computational …, 2022 - Springer
Now many researchers are paying great attention to the study of large-scale queueing
systems (LSQS) with a lager number of servers because of the development of 5G/6G …
systems (LSQS) with a lager number of servers because of the development of 5G/6G …
Improving the accuracy of exponentially converging quadratures
AA Belov, VS Khokhlachev - Computational Mathematics and …, 2024 - Springer
Abstract Evaluation of one-dimensional integrals arises in many problems in physics and
technology. This is most often done using simple quadratures of midpoints, trapezoids and …
technology. This is most often done using simple quadratures of midpoints, trapezoids and …
Computational advantage in evaluating oscillatory integral using quadratic spline
MP Ramachandran… - International Journal of …, 2024 - inderscienceonline.com
The quadratic spline is used in the conventional Levin's method to evaluate the oscillatory
integral. Generally, the Levin method requires O (n 3) computations and can be unstable …
integral. Generally, the Levin method requires O (n 3) computations and can be unstable …
DISCRETE AND CONTINUOUS MODELS AND APPLIED COMPUTATIONAL SCIENCE
KP LOVETSKIY, DS KULYABOV… - … MODELS AND APPLIED …, 2022 - elibrary.ru
The classical pseudospectral collocation method based on the expansion of the solution in a
basis of Chebyshev polynomials is considered. A new approach to constructing systems of …
basis of Chebyshev polynomials is considered. A new approach to constructing systems of …