Приближенное интегрирование обыкновенных дифференциальных уравнений методом рядов Чебышeва с контролем точности

DOI10.20948/MM-2022-06-04OpenAlexW4281723608MaRDI QIDQ5089847

S. F. Zaletkin

Publication date: 15 July 2022

Published in: Математическое моделирование (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/mm4383

zbMATH Keywords

numerical methodsordinary differential equationserror estimateorthogonal expansionsMarkov quadrature formulasprecision controlshifted Chebyshev seriesapproximate analytical methodsautomatic step size controlpolynominal approximation

Mathematics Subject Classification ID

Numerical analysis (65-XX) Ordinary differential equations (34-XX)

Cites Work

• Calculation of expansion coefficients of series in Chebyshev polynomials for a solution to a Cauchy problem
• Application of Markov's quadrature in orthogonal expansions
• Application of orthogonal expansions for approximate integration of ordinary differential equations
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