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Conservative Averaging Method for Solutions of Inverse Problems for Heat Equation

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Progress in Industrial Mathematics at ECMI 2002

Part of the book series: The European Consortium for Mathematics in Industry ((TECMI,volume 5))

Abstract

Inverse problems arise in various fields of science, technology and agriculture where from measurements of state of the system or process it is required to determine a certain typesetting of the causal characteristics. It is known that infrigement of the natural causal relationships can entail incorrectness of the mathematical formulation of inverse problem. Therefore the development of efficient methods for solving such problems allow us to simplify experimental research considerably and to increase the accuracy and reliability of the obtained results due to certain complication of algoritms for processing the experemental data. The problem of the determination of the coefficient of thermal conductivity is among the incorrect inverse problem.

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References

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© 2004 Springer-Verlag Berlin Heidelberg

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Buikis, A., Guseinov, S. (2004). Conservative Averaging Method for Solutions of Inverse Problems for Heat Equation. In: Buikis, A., Čiegis, R., Fitt, A.D. (eds) Progress in Industrial Mathematics at ECMI 2002. The European Consortium for Mathematics in Industry, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-09510-2_30

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  • DOI: https://doi.org/10.1007/978-3-662-09510-2_30

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07262-8

  • Online ISBN: 978-3-662-09510-2

  • eBook Packages: Springer Book Archive

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