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Numerical stability of a method for transferring boundary conditions

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Abstract

It is proved that a previously proposed method for transferring boundary conditions as applied to a boundary value problem for a linear system of ordinary differential equations gives numerically stable results if this problem is stable with respect to small variations in the input data.

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References

  1. A. A. Abramov, “Transfer of Boundary Conditions for Systems of Linear Ordinary Differential Equations: A Version of the Sweep Method,” Zh. Vychisl. Mat. Mat. Fiz. 1, 542–545 (1961).

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  2. A. A. Abramov, “A Version of the Sweep Method,” Zh. Vychisl. Mat. Mat. Fiz. 1, 349–351 (1961).

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Authors and Affiliations

  1. Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia

    A. A. Abramov

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  1. A. A. Abramov
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Original Russian Text © A.A. Abramov, 2006, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2006, Vol. 46, No. 3, pp. 401–406.

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Abramov, A.A. Numerical stability of a method for transferring boundary conditions. Comput. Math. and Math. Phys. 46, 382–387 (2006). https://doi.org/10.1134/S0965542506030055

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  • DOI: https://doi.org/10.1134/S0965542506030055

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