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Explicit error bound for modified numerical iterated integration by means of Sinc methods

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 نشر من قبل Tomoaki Okayama
 تاريخ النشر 2013
  مجال البحث الهندسة المعلوماتية
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 تأليف Tomoaki Okayama




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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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