摘要
本文首先介绍了在科技工作中常遇到的各类特殊函数,以计算Bessel函数和椭圆积分为例,讨论了在计算大多数特殊函数中所遇到的有关算法的一些共性问题。如采用小宗量级数展开式,大宗量渐近式,多项式近似,递推法,迭代法计算等。最后还讨论了计算某些特殊函数的零点及其它有关数值计算问题。
In the paper, special functions frequently encountered in science and engineering are introduced. The computation of the values of Bessel function and elliptic integrals are taken to be the examples, and some common algorithms for computing most special functions, such as series expansion for small argument, asymptotic approximations for large argument, polynomial approximations, recurrence formulas and iteration method, are discussed. In addition, the determination of zeros of some special functions, and the other questions related to numerical computation are also discussed.
出处
《计算物理》
CSCD
北大核心
1992年第4期431-436,共6页
Chinese Journal of Computational Physics
关键词
特殊函数
数值计算
算法
special function, series expansion, asymptotic approximation, recurrence formula.
