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Comprehensive interpretation of a three-point gauss quadrature with variable sampling points and its application to integration for discrete data
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نویسنده
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kwon y.-d. ,kwon s.-b. ,shim b.-k. ,kwon h.-w.
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منبع
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journal of applied mathematics - 2013 - دوره : 2013 - شماره : 0
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چکیده
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This study examined the characteristics of a variable three-point gauss quadrature using a variable set of weighting factors and corresponding optimal sampling points. the major findings were as follows. the one-point,two-point,and three-point gauss quadratures that adopt the legendre sampling points and the well-known simpson's 1/3 rule were found to be special cases of the variable three-point gauss quadrature. in addition,the three-point gauss quadrature may have out-of-domain sampling points beyond the domain end points. by applying the quadratically extrapolated integrals and nonlinearity index,the accuracy of the integration could be increased significantly for evenly acquired data,which is popular with modern sophisticated digital data acquisition systems,without using higher-order extrapolation polynomials. © 2013 young-doo kwon et al.
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آدرس
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school of mechanical engineering,iedt,kyungpook national university, South Korea, school of mechanical engineering,iedt,kyungpook national university, South Korea, department of mechanical engineering,pohang college, South Korea, system solution research department,research institute of industrial science and technology, South Korea
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Authors
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