Computing rational Gauss–Chebyshev quadrature formulas with complex poles: The algorithm
نویسندگان
چکیده
منابع مشابه
Computing rational Gauss-Chebyshev quadrature formulas with complex poles
We provide a fast algorithm to compute arbitrarily many nodes and weights for rational Gauss-Chebyshev quadrature formulas integrating exactly in spaces of rational functions with arbitrary complex poles outside [−1, 1]. This algorithm is based on the derivation of explicit expressions for the Chebyshev (para-)orthogonal rational functions.
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We provide an algorithm to compute arbitrarily many nodes and weights for rational Gauss-Chebyshev quadrature formulas integrating exactly in spaces of rational functions with complex poles outside [−1, 1]. Contrary to existing rational quadrature formulas, the computational effort is very low, even for extremely high degrees, and under certain conditions on the poles it can be shown that the c...
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ژورنال
عنوان ژورنال: Advances in Engineering Software
سال: 2009
ISSN: 0965-9978
DOI: 10.1016/j.advengsoft.2008.11.011