摘要
重积分是高等数学的主要内容之一。柯特斯公式是定积分数值算法的一种重要方法,其具有误差精度高的优点,误差精度可达到6阶,将结合定积分柯特斯公式与二重积分的特点,将柯特斯公式推广到二重积分的情形。首先,给出了柯特斯公式的表达式及其误差公式;然后,将定积分的柯特斯公式推广到二重积分的情形,并结合积分中值定理推出其误差表达式。误差结果表明,推广到二重积分后的柯特斯公式仍具有6阶精度。
Re-integration is one of the main elements of higher mathematics. Cotes integration formula is an important method of numerical algorithm, which has sixth-order precision. In this paper, the Cotes formula will be extended to the double integral case. Firstly, the Cotes formula and its error formula are given. Secondly, the new Cotes formula of double integral is given, and the error is expressed by value theorem of integral. The error results showed that the new Cotes formula of double integral still has the sixth-order precision.
出处
《保山学院学报》
2012年第2期60-63,共4页
JOURNAL OF BAOSHAN UNIVERSITY
