Abstract
We consider a generalization of Wronskian methodsfor the case of one and several variables. The integral representation is based on the construction of a system of differential operators associated with the basis interpolant functions and en the Neumann’s kernel. Examples are given.
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References
ARCANGELI R, J.L. GOUT: Rairo-Analyse numérique 10 (1976), 5–27
BERGMAN, SCHIFFER: Kernel functions and differential equations (Academic Press (1953).
CHENIN P.: Thèse 3ème cycle Grenoble 1974
CHENIN P.: Rapport-de recherche n° 71 Laboratoire IMAG Grenoble (1977)
CHENIN P.: To be published in Numerische Mathematik
CIARLET P.G., RAVIART P.A: Arch. Rational Mech. Anal. 46 (1972) 177–199
DAVIS: Interpolation and Approximation (1965)
GORDON W.J: Blending function Methods of Bivariate and Multivariate Interpolation and Approximation SIAM J. Num. Anal. Vol 8 n° 1 (1971)158–177
MEINGUET J.; Rairo-Analyse numérique 11 (1977) 355–368
TITCHMARCH: Eigenfunction expansions (Part II) Oxford University Press (1958)
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Chenin, P. (1979). Integral Representation of Interpolation Error. In: Schempp, W., Zeller, K. (eds) Multivariate Approximation Theory. ISNM International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’Analyse Numérique, vol 51. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6289-9_4
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DOI: https://doi.org/10.1007/978-3-0348-6289-9_4
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-7643-1102-5
Online ISBN: 978-3-0348-6289-9
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