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A recurrence for Dirichlet problems

Eine Rekursion für Dirichlet-Probleme

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Abstract

The formal integration of the differential eq. to an integral equation allows the iterative construction of a class of “basic” functions which, characterized by the kernel, are suitable for developing the solution to the boundary value problem.

Zusammenfassung

Die formale Integration der Differential-Gl. zu einer Integral-Gl. ermöglicht die iterative Berechnung einer Klasse von kernspezifischen „Grund”-Funktionen, aus denen sich die Lösung des Randwertproblems linear aufbauen läßt.

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References

  1. Courant, R., Hilbert, D.: Methods of mathematical physics. New York: Interscience 1962.

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  2. Collatz, L.: The numerical treatment of differential equations. Berlin-Göttingen-Heidelberg: Springer 1960.

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  3. Smirnow, W. I.: Lehrgang der höheren Mathematik, Teil III, 2, pp. 296 ff. Berlin: VEB Verlag der Wissenschaften 1955.

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Authors and Affiliations

  1. European Communities, JRC Ispra, I-21020, Ispra, Italy

    K. H. Müller

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  1. K. H. Müller
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Müller, K.H. A recurrence for Dirichlet problems. Computing 28, 65–68 (1982). https://doi.org/10.1007/BF02237996

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  • DOI: https://doi.org/10.1007/BF02237996

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