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  • Articles  (2)
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  • Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
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  • Articles  (2)
  • Other Sources
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  • Springer  (2)
  • Institute of Physics
  • Oxford University Press
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  • 2020-2022
  • 1995-1999
  • 1980-1984
  • 1970-1974  (1)
  • 1965-1969  (1)
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  • Mathematics  (2)
  • Technology
  • Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
  • 1
    Electronic Resource
    Electronic Resource
    Some algorithms for numerical quadrature using the derivatives of the integrand in the integration interval (1970)
    Springer
    BIT 10 (1970), S. 277-294 
    Details
    ISSN: 1572-9125
    Keywords: Numerical ; integration ; derivative ; extrapolation ; error term
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Some quadrature formulae using the derivatives of the integrand are discussed. As special cases are obtained generalizations of both the ordinary and the modified Romberg algorithms. In all cases the error terms are expressed in terms of Bernoulli polynomials and functions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01934198
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    On the practical application of the modified romberg algorithm (1967)
    Springer
    BIT 7 (1967), S. 103-113 
    Details
    ISSN: 1572-9125
    Keywords: Numerical ; integration ; extrapolation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Experience gained in the use of the modified Romberg algorithm is reported. An alternative form of the algorithm based on a cosine transformation of Euler-MacLaurin's and Euler's second formula is discussed. Some examples where the error estimate incorporated in the algorithm partly fails are given. Finally an ALGOL procedure combining the algorithm discussed in a previous paper of the author [1] and the modification discussed in this paper is described.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01934273
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    Paper (German National Licenses)
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