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Mehrdimensionale Hermite-Interpolation und numerische Integration

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Literatur

  1. Barnhill, R.E., Mansfield, L.: Error bounds for smooth interpolation in triangles. J. Approximation Theory11, 306–318 (1974)

    Google Scholar 

  2. Ciarlet, P.G., Raviart, P.A.: General Lagrange and Hermite interpolation in 117-1 with applications to finite element methods. Arch. rat. Mech. Analysis46, 177–199 (1972)

    Google Scholar 

  3. Davis, P.J.: Interpolation and approximation, New York: Blaisdell 1965

    Google Scholar 

  4. Ehlich, H., Haußmann, W.: Konvergenz mehrdimensionaler Interpolation. Numerische Math.15, 165–174 (1970).

    Google Scholar 

  5. Franke, R.H.: Orthogonal polynomials and approximate multiple integration. SIAM J. numer. Analysis8, 757–766 (1971)

    Google Scholar 

  6. Gröbner, W.: Algebraische Geometrie I und II, BI-Hochschultaschenbücher Bd. 273 und Bd. 737. Mannheim: Bibliographisches Institut 1970

    Google Scholar 

  7. Haußmann, W.: Tensorproduktmethoden bei mehrdimensionaler Interpolation. Math. Z.124, 191–198 (1972)

    Google Scholar 

  8. Haußmann, W., Knoop, B.: Divergenz und Konvergenz zweidimensionaler Lagrange-Interpolation. Z. angew. Math. Mech.51, T22-T23 (1971)

    Google Scholar 

  9. Kaper, H.G., Leaf, G.K.:L ∞ error bounds for multivariate Lagrange approximation. SIAM J. numer. Analysis11, 363–381 (1974)

    Google Scholar 

  10. Möller, H.M.: Polynomideale und Kubaturformeln. Dissertation. Dortmund 1973

  11. Mysovskih, I.P.: Zur Interpolation durch Polynome in zwei Veränderlichen (Russisch). In: Metody Vyčisleniî, Leningrad, Nr. 8, pp. 3–14. Leningrad: Verlag der Universität 1973

    Google Scholar 

  12. Sard, A.: Linear approximation. Providence R.I.: American Mathematical Society 1963

    Google Scholar 

  13. Schultz, M.H.: Error bounds for a bivariate interpolation scheme. J. Approximation Theory8, 189–194 (1973)

    Google Scholar 

  14. Ženiŝek, A.: Polynomial approximation on tetrahedrons in the finite element method. J. Approximation Theory7, 334–351 (1973)

    Google Scholar 

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  1. Abteilung Mathematik, Universität Dortmund, Postfach 50 05 00, D-4600, Dortmund 50, Bundesrepublik Deutschland

    H. Michael Möller

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  1. H. Michael Möller
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Möller, H.M. Mehrdimensionale Hermite-Interpolation und numerische Integration. Math Z 148, 107–118 (1976). https://doi.org/10.1007/BF01214700

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