一种构建高精度求积公式的新策略

A New Tactics of Constructing High-order Accurate Quadrature Formula

以低阶求积公式为基本模块,基于它的余项表达式及代数精度概念,提出了一种改进和构造高精度求积公式的普适性新策略。该方法可实现求积公式的有限次改进。最后,应用于几个常用低阶求积公式,以验证本文方法的有效性。

In this paper, a new general tactics of improving and constructing high-order accurate quadrature formula is presented to use low-order quadrature formula as a elementary building block by applying its expression of remainder term and concepts of algebraic accuracy. Similarly, finite number improving can be carried out. Finally, several examples of common low-order quadrature for- mulae are given to show higher validation of this method.