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Reduced piecewise bivariate Hermite interpolations

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The paper presents two methods for a piecewise Hermite interpolation of a sufficiently smooth function. The interpolation function is on each elementary rectangle, into which the given region is divided, determined by all the derivatives of the function under consideration up to a certain predetermined order. The results obtained are utilized in the solution of a general quasi-linear equation and in the solution of a non-linear integral equation.

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  1. Research and Development Institute for Rotating Electrical Machines, Mostecká 26, Brno, Czechoslovakia

    František Melkes

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  1. František Melkes
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Melkes, F. Reduced piecewise bivariate Hermite interpolations. Numer. Math. 19, 326–340 (1972). https://doi.org/10.1007/BF01404879

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  • DOI: https://doi.org/10.1007/BF01404879

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