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Repeated quadrature using derivatives of the integrand

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Zusammenfassung

Es werden neue Formeln mitgeteilt für die Auswertung wiederholter Integrale der Form\(\smallint \underbrace {\smallint \cdots \smallint }_nf(x) (dx)^n \), wof(x) entweder analytisch oder als Werttabelle gegeben ist. Die Genauigkeit dieser Formeln wird mit derjenigen von bereits vorhandenen Methoden verglichen.

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References

  1. J. D. Lambert andA. R. Mitchell, Z. angew. Math. Phys.13, 223 (1962).

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  2. J. D. Lambert andA. R. Mitchell, The Computer J.5, 322 (1963).

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  3. H. E. Salzer, Phil. Mag.38, 331 (1947).

    Google Scholar 

  4. H. E. Salzer, J. Math. and Phys.28 (1949).

  5. Interpolation and Allied Tables, Her Majesty's Stationery Office, London (1956).

  6. H. C. Thacher, The Computer J.5, 228 (1962).

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Authors and Affiliations

  1. Department of Applied Mathematics, St. Andrews University, St. Andrews, Scotland

    John D. Lambert & Andrew R. Mitchell

Authors
  1. John D. Lambert
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  2. Andrew R. Mitchell
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Lambert, J.D., Mitchell, A.R. Repeated quadrature using derivatives of the integrand. Journal of Applied Mathematics and Physics (ZAMP) 15, 84–90 (1964). https://doi.org/10.1007/BF01679533

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  • DOI: https://doi.org/10.1007/BF01679533

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