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Numerical algorithm without saturation for solving nonstationary problems

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Journal of Engineering Physics and Thermophysics Aims and scope

Time discretization without saturation, i.e., the discretization automatically accounting for the smoothness of the solution of the problem studied, is considered. As an example, a heat conduction equation is used, but the method is applicable to any nonstationary problem, such as where the discrete operator operating on spatial variables has a full system of eigenvectors and the eigenvalues are real.

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Authors and Affiliations

  1. Institute of Problems of Mechanics, Russian Academy of Sciences, 101-1 Vernadskii Ave., Moscow, 119526, Russia

    S. D. Algazin

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  1. S. D. Algazin
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Correspondence to S. D. Algazin.

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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 82, No. 5, pp. 950–960, September–October, 2009.

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Algazin, S.D. Numerical algorithm without saturation for solving nonstationary problems. J Eng Phys Thermophy 82, 956–966 (2009). https://doi.org/10.1007/s10891-009-0274-x

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  • DOI: https://doi.org/10.1007/s10891-009-0274-x

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