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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