多重复化高斯—勒让德积分公式及其应用

Multiple-Complex-Gauss-Legendre Integral Formulae and Application

根据物理学研究的实际需要提出了多重复化高斯 -勒让德 (Gauss- L egendre)积分方法 ,并给出了与之相关的一组积分计算公式 .经检验 ,其实际使用效果是令人满意的 ,完全可以达到工程计算所要求的精度 .

A method named the Multiple- Complex- Gauss- Legendre integral is introduced to solve the difficulties of the numerical calculation in the field's multiple integral to meet the needs of the physics research,and a group of calculation formulae are also deduced.The new method has been proved efficient in practical use by strict testand itcan meet the preci- sion of the engineering calculation.