一个新的高精度二重数值积分公式

A NEW HIGHER ORDER ACCURACY NUMERICAL FORMULA FOR DOUBLE INTEGRAL

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。

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.