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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Chebyshev–Gauss quadrature ： ウィキペディア英語版 Chebyshev–Gauss quadrature In numerical analysis Chebyshev–Gauss quadrature is an extension of Gaussian quadrature method for approximating the value of integrals of the following kind: :$\backslash int\_^\; \backslash frac\; \backslash ,dx$ and :$\backslash int\_^\; \backslash sqrt\; g(x)\backslash ,dx.$ In the first case :$\backslash int\_^\; \backslash frac\; \backslash ,dx\; \backslash approx\; \backslash sum\_^n\; w\_i\; f(x\_i)$ where :$x\_i\; =\; \backslash cos\; \backslash left(\; \backslash frac\; \backslash pi\; \backslash right)$ and the weight :$w\_i\; =\; \backslash frac\; .$〔Abramowitz, M & Stegun, I A, ''Handbook of Mathematical Functions'', 10th printing with corrections (1972), Dover, ISBN 978-0-486-61272-0. Equation 25.4.38.〕 In the second case :$\backslash int\_^\; \backslash sqrt\; g(x)\backslash ,dx\; \backslash approx\; \backslash sum\_^n\; w\_i\; g(x\_i)$ where :$x\_i\; =\; \backslash cos\; \backslash left(\; \backslash frac\; \backslash pi\; \backslash right)$ and the weight :$w\_i\; =\; \backslash frac\; \backslash sin^2\; \backslash left(\; \backslash frac\; \backslash pi\; \backslash right).\; \backslash ,$〔Abramowitz, M & Stegun, I A, ''Handbook of Mathematical Functions'', 10th printing with corrections (1972), Dover, ISBN 978-0-486-61272-0. Equation 25.4.40.〕 ==See also== *Chebyshev nodes 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Chebyshev–Gauss quadrature」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.