Practical error estimation in numerical integration

An Error Analysis for Numerical Multiple Integration

Error estimation of ‎f‎uzzy Newton-Cotes method for Integration of fuzzy functions‎

Fuzzy Newton-Cotes method for integration of fuzzy functions that was proposed by Ahmady in [1]. In this paper we construct error estimate of fuzzy Newton-Cotes method such as fuzzy Trapezoidal rule and fuzzy Simpson rule by using Taylor's series. The corresponding error terms are proven by two theorems. We prove that the fuzzy Trapezoidal rule is accurate for fuzzy polynomial of degree one and...

An Error Analysis for Numerical Multiple Integration . II

An Error Analysis for Numerical Multiple Integration . Ill

Asymptotic results of two types are given for minimum norm cubatures, defined on a certain Hubert space of analytic functions. Cubatures with a high degree of precision are realized as the limits of minimum norm cubatures, and an algebraic approach for the determination of efficient rules is derived. Numerical methods and examples are also included.

Error Analysis of Adaptively Weighted Numerical 1 Integration

With Adaptively Weighted (AW) numerical integration, for a given set of quadrature 4 nodes, order and domain of integration, the quadrature weights are obtained by solving a system of 5 suitable moment fitting equations in least square sense. The moments in the moment equations 6 are approximated over a simplified domain that is homeomorphic to the original domain, and then 7 are corrected for ...