A Comparison of Quadrature Rules
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Date
1986-06-??
Authors
楊壬孝
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Publisher
國立臺灣師範大學研究發展處
Office of Research and Development
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.
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.