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New Stable Closed Newton-Cotes Trigonometrically Fitted Formulae for Long-Time Integration

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  • T. E. Simos

Abstract

The closed Newton-Cotes differential methods of high algebraic order for small number of function evaluations are unstable. In this work, we propose a new closed Newton-Cotes trigonometrically fitted differential method of high algebraic order which gives much more efficient results than the well-know ones.

Suggested Citation

  • T. E. Simos, 2012. "New Stable Closed Newton-Cotes Trigonometrically Fitted Formulae for Long-Time Integration," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-15, May.
    • Handle: RePEc:hin:jnlaaa:182536
    DOI: 10.1155/2012/182536
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    Cited by:

    1. Tsitouras, Ch. & Famelis, I.Th., 2018. "Bounds for variable degree rational L∞ approximations to the matrix exponential," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 376-386.
    2. Tsitouras, Ch., 2019. "Explicit Runge–Kutta methods for starting integration of Lane–Emden problem," Applied Mathematics and Computation, Elsevier, vol. 354(C), pages 353-364.

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