Geodesic
Justification of some approach to implementation of orthogonal expansions for approximate integration of canonical systems of second order
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2018), pp. 29-33 
O. B. Arushanyan; S. F. Zaletkin. Justification of some approach to implementation of orthogonal expansions for approximate integration of canonical systems of second order. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2018), pp. 29-33. http://geodesic.mathdoc.fr/item/VMUMM_2018_3_a4/
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     title = {Justification of some approach to implementation of orthogonal expansions for approximate integration of canonical systems of second order},
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     url = {http://geodesic.mathdoc.fr/item/VMUMM_2018_3_a4/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

A solvability theorem for a nonlinear system of equations with respect to approximate values of Fourier–Chebyshev coefficients is proved. This theorem is a theoretical substantiation for the numerical solution of second order ordinary differential equations using Chebyshev series and Markov quadrature formulas.

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