计算物理 ›› 1991, Vol. 8 ›› Issue (4): 437-441.

• 论文 • 上一篇    

一个新的高精度二重数值积分公式

吴新元1, 吴宏伟2   

  1. 1. 南京大学数学系, 210008;
    2. 东南大学, 南京 210018
  • 收稿日期:1991-01-08 修回日期:1991-07-07 出版日期:1991-12-25 发布日期:1991-12-25

A NEW HIGHER ORDER ACCURACY NUMERICAL FORMULA FOR DOUBLE INTEGRAL

Wu xinyuan1, Wu Hongwei2   

  1. 1. Nanjing University;
    2. Southeast University
  • Received:1991-01-08 Revised:1991-07-07 Online:1991-12-25 Published:1991-12-25

摘要: 本文将文献[1]的结果推广到二维情形,得到了相应的计算二重积分的高精度求积公式及其复合型公式。它具有辛普生公式的优点,但代数精确度比辛苦生公式提高2阶。 本文数值试验表明,这个新的高精度数值积分公式是十分有效的。

关键词: 数值积分, 数值逼近, 误差估计

Abstract: An extension of result in [1] to two dimension is derived in this paper. The new numerical formula for double integral possesses the all advantage of Simpson's formula but the degree of accuracy is increased by two order than that of Simpson's formula.The numerical tests show that the new numerical formula of this paper is more efficient.

Key words: numerical integration, numerical approximation, error estimate