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New Collocation Integrator for Solving Dynamic Problems. I. Theoretical Background

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A new collocation integrator with Lobatto spacings is proposed for numerical solving mixed systems of firstand second-order differential equations for dynamic problems. The general theory of collocation integrators is outlined from which the basic formulas of the new integrator are derived.

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Authors and Affiliations

  1. National Research Tomsk State University, Tomsk, Russia

    V. A. Avdyushev

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  1. V. A. Avdyushev
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Correspondence to V. A. Avdyushev.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 131–140, November, 2020.

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Avdyushev, V.A. New Collocation Integrator for Solving Dynamic Problems. I. Theoretical Background. Russ Phys J 63, 1977–1988 (2021). https://doi.org/10.1007/s11182-021-02260-2

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  • DOI: https://doi.org/10.1007/s11182-021-02260-2

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