Abstract
In this paper quadrature rules introduced by Jagerman [1] and Stetter [2] are considered and asymptotic expansions for the error given. This allows to make use of the Romberg extrapolation process. Such rules can be viewed as generalizations of the well-known mid-point rule. Thus, numerical examples comparing these rules are finally presented.
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References
D. Jagerman, Investigation of a modified mid-point quadrature formula, Math. Comp. 20 (1966) 79–89.
F. Stetter, On a generalization of the mid-point rule, Math. Comp. 22 (1968) 661–663.
J.F. Steffensen,Interpolation, 2nd ed. (Chelsea Pub. Comp., New York, 1950).
P.J. Davis and P. Rabinowitz,Methods of Numerical Integration (Academic Press, 1975).
T. Havie, On the practical application of the modified Romberg algorithm, BIT 7 (1967) 103–113.
J.C. Santos, P. González-Vera and S. González-Pinto, A note on certain generalizations of the mid-point rule, Preprint (1991).
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González-Pinto, S., González-Vera, P. & Santos, J.C. On extrapolation of Jagerman and Stetter rules. Numer Algor 3, 211–222 (1992). https://doi.org/10.1007/BF02141930
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DOI: https://doi.org/10.1007/BF02141930