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Adaptive Scheme of Inversion of the Laplace Transformation with the Use of Orthogonal Series

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Abstract

By using the representation of an original by an orthogonal series in the basis of classical orthogonal polynomials, we propose a scheme, adaptive with respect to accuracy, for the restoration of differentiable originals and originals having discontinuities of the first kind. The order of a partial sum of the orthogonal series that approximates the required original serves as a regulating parameter.

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Authors and Affiliations

  1. Pidstryhach Institute of Applied Problems of Mechanics and Mathematics, Ukrainian Academy of Sciences, Lviv

    Ya. D. P'yanylo

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  1. Ya. D. P'yanylo
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P'yanylo, Y.D. Adaptive Scheme of Inversion of the Laplace Transformation with the Use of Orthogonal Series. Journal of Mathematical Sciences 109, 1197–1202 (2002). https://doi.org/10.1023/A:1013736425755

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  • DOI: https://doi.org/10.1023/A:1013736425755

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