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Title: A Comparison of Quadrature Rules
Other Titles: 積分法則之一比較
Authors: 楊壬孝
Issue Date: Jun-1986
Publisher: 國立臺灣師範大學研究發展處
Office of Research and Development
Abstract: 積分計算是數學上古老問題之一,至今已有許多數值方法來求值,其錯誤估計也隨之發展。但由於方法及估計方式不盡相同,更由於應用到電腦方面的機器限制(如四捨五入等之錯誤),所得之結果也不完全如預期。在本文中,將以電腦程式來比較不同方法對各類積分函數之有效性,並由於其其所需運算比較其所需的時間,進而發展出一決定樹。
In this paper, we shall develop different numerical methods to evaluate a finite integral and then write computer programs to compare the efficiency of these methods. By the comparisons and analyses of these results, we can construct a decision tree for deciding which rule to use for a particular integrand.
Other Identifiers: D8E9C66D-5926-98E6-584A-135140206118
Appears in Collections:師大學報

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