On Numerical Accuracy of Gauss-Chebyshev Integration Rules Using the Stochastic Arithmetic
نویسنده
چکیده
In this paper, the evaluation of I = ∫ 1 −1 f(x) √ 1−x2 dx is proposed by using the opened and closed Gauss Chebyshev integration rules in the stochastic arithmetic. For this purpose, a theorem is proved to show the accuracy of the Gauss-Chebyshev rules. Then, the CESTAC 1 method and the stochastic arithmetic are used to validate the results and implement the numerical example.
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تاریخ انتشار 2008