Two adaptive Gauss-Legendre type algorithms for the verified computation of definite integrals
نویسندگان
چکیده
We propose a two algorithms for computation of (sharp) enclosures of definite interevals: a lor.rd adaptive dgorid~a (LAA) and a g/oba/ a&,pth~ cdgor92~n (GAA). Both algorithms are based (m Gauss-Legendre ~ladrature. Error terms are bounded using automatic differentiation in combination with interval evah:adons. Several nmnerical examples are presented; these examples include comparis~m with an adaptive interval Ro,nherg scheme.
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ورودعنوان ژورنال:
- Reliable Computing
دوره 2 شماره
صفحات -
تاریخ انتشار 1996