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Boundary value problems for the laplacian in the Euclidean space solved by symbolic computation

  • Applications And Systems
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Book cover Eurocal '87 (EUROCAL 1987)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 378))

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Abstract

By means of the symbolic manipulation language REDUCE, a complete set of harmonic polynomials in Euclidean space is constructed. The method relies on the theory of monogenic functions defined in ℝn+1 and taking values in a Clifford algebra An. An approximate solution for the Dirichlet and Neumann problems in the form of a harmonic polynomial may be obtained. The method is applied to solying a Dirichlet problem in a cube.

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References

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Authors and Affiliations

  1. Seminar of Mathematical Analysis, State University of Ghent, Sint-Pietersnieuwstraat 39, B-9000, Gent, Belgium

    F. Brackx & H. Serras

Authors
  1. F. Brackx
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  2. H. Serras
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James H. Davenport

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© 1989 Springer-Verlag Berlin Heidelberg

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Brackx, F., Serras, H. (1989). Boundary value problems for the laplacian in the Euclidean space solved by symbolic computation. In: Davenport, J.H. (eds) Eurocal '87. EUROCAL 1987. Lecture Notes in Computer Science, vol 378. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-51517-8_117

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  • DOI: https://doi.org/10.1007/3-540-51517-8_117

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51517-3

  • Online ISBN: 978-3-540-48207-9

  • eBook Packages: Springer Book Archive

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