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On numerical solution of ordinary differential equations by V. K. Dzyadyk scheme

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Literature cited

  1. V. K. Dzyadyk, “On the use of linear methods in approximating solutions of ordinary differential equations and Hammershtein integral equations by polynomials,” Izv. Akad. Nauk SSSR, Ser. Matem.,34, No. 4 (1970).

  2. P. N. Denisenko, Solution of Cauchy Problem for Ordinary Differential Equations by the Method of V. K. Dzyadyk, Linear and Nonlinear Equations of Mathematical Physics [in Russian], Izd. Instituta Matematiki AN UkrSSR, Kiev (1973).

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  3. I. P. Natanson, Constructive Theory of Functions [in Russian], Gostekhizdat, Moscow-Leningrad (1949).

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  4. V. V. Korchuk, On Polynomial Approximation of Solutions of Ordinary Differential Equations, Proceedings of the Seminar on Differential and Integral Equations [in Russian], Izd. Instituta Matematiki AN UkrSSR, Kiev (1969).

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  5. M. A. Krasnosel'skii et al., Approximate Solutions of Operator Equations [in Russian], Nauka, Moscow (1969).

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  6. K. Lantsosh, Practical Methods of Applied Analysis [Russian translation], Fizmatgiz, Moscow (1961).

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  7. A. Sigmund, Trigonometric Series [Russian translation], Vol. 2, Mir, Moscow (1965).

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  8. S. M. Nikol'skii, “Approximation of periodic functions by trigonometric polynomials,” Tr. Matem. Inst. im. V. A. Steklova AN SSSR,15 (1945).

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Authors and Affiliations

  1. Institute of Mathematics, Academy of Sciences of the Ukrainian SSR, USSR

    P. N. Denisenko

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  1. P. N. Denisenko
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 26, No. 3, pp. 362–367, May–June, 1974.

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Denisenko, P.N. On numerical solution of ordinary differential equations by V. K. Dzyadyk scheme. Ukr Math J 26, 297–302 (1974). https://doi.org/10.1007/BF01086221

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  • DOI: https://doi.org/10.1007/BF01086221

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