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Approximate Solution of the Dirichlet Problem for Elliptic PDE and Its Error Estimate

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Computer Algebra in Scientific Computing (CASC 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3718))

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Abstract

The proposed in [7] uniform error estimate allows to control the accuracy of the symbolic approximate solution of the Dirichlet problem for elliptic PDE in the whole domain of the problem considered. The present paper demonstrates the techniques of finding such an approximate solution with Mathematica and the use of the uniform error estimate for a concrete example.

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© 2005 Springer-Verlag Berlin Heidelberg

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Zemskov, S. (2005). Approximate Solution of the Dirichlet Problem for Elliptic PDE and Its Error Estimate. In: Ganzha, V.G., Mayr, E.W., Vorozhtsov, E.V. (eds) Computer Algebra in Scientific Computing. CASC 2005. Lecture Notes in Computer Science, vol 3718. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11555964_41

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  • DOI: https://doi.org/10.1007/11555964_41

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-28966-1

  • Online ISBN: 978-3-540-32070-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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