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Explicit error bound for modified numerical iterated integration by means of Sinc methods (1306.6615v3)
Published 27 Jun 2013 in math.NA and cs.NA
Abstract: This paper reinforces numerical iterated integration developed by Muhammad--Mori in the following two points: 1) the approximation formula is modified so that it can achieve a better convergence rate in more general cases, and 2) explicit error bound is given in a computable form for the modified formula. The formula works quite efficiently, especially if the integrand is of a product type. Numerical examples that confirm it are also presented.