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Numerical Methods for Hyperbolic Functional Differential Problems on the Haar Pyramid

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Abstract

The paper deals with the local Cauchy problem for nonlinear functional differential systems. We investigate a general class of difference methods for this problem. We construct interpolating operators on the Haar pyramid and we give an error estimate for approximate solutions. We adopt nonlinear estimates of the Perron type for given functions with respect to the functional variable. The proof of the stability is based on functional difference inequalities.

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Authors and Affiliations

  1. Institute of Mathematics University of Gdańsk Wit Stwosz Str. 57 80-952 Gdańsk Poland e-mail: dana@ksinet.univ.gda.pl zkamont@ksinet.univ.gda.pl, , , , , , PL

    D. Jaruszewska-Walczak & Z. Kamont

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  1. D. Jaruszewska-Walczak
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  2. Z. Kamont
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Received May 31, 1999; revised January 13, 2000

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Jaruszewska-Walczak, D., Kamont, Z. Numerical Methods for Hyperbolic Functional Differential Problems on the Haar Pyramid. Computing 65, 45–72 (2000). https://doi.org/10.1007/PL00021412

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  • DOI: https://doi.org/10.1007/PL00021412

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