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Application of half-derivatives in numerical analysis

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Abstract

Generalized concepts of the Lipschitz constant and the divided difference are used to develop a technique for analyzing numerical methods. Based on the technique, new results are obtained concerning error estimation for a nonlinear equation in a Banach space.

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Authors and Affiliations

  1. St. Petersburg State University, Universitetskii pr. 35, St. Petersburg, 198504, Russia

    S. E. Mikheev

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  1. S. E. Mikheev
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Correspondence to S. E. Mikheev.

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Original Russian Text © S.E. Mikheev, 2008, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2008, Vol. 48, No. 1, pp. 3–17.

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Mikheev, S.E. Application of half-derivatives in numerical analysis. Comput. Math. and Math. Phys. 48, 1–15 (2008). https://doi.org/10.1134/S0965542508010016

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  • DOI: https://doi.org/10.1134/S0965542508010016

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