Explicit Error Bound for Modified Numerical Iterated Integration by Means of Sinc Methods

نویسنده

  • Tomoaki Okayama
چکیده

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.

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تاریخ انتشار 2015