求渐近逼近的形式化方法

K. Sheiretsky, S. Antonov
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引用次数: 0

摘要

给出了一种方法,通过形式化的程序,我们可以在函数、微分方程和积分方程分解成渐近级数时找到所需的逼近。用这种方法我们只得到我们感兴趣的近似。引入了一个“渐近括号”,定义了它的使用规则,并给出了它的具体应用实例。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Formal Method for Finding Asymptotic Approximations
A method is presented in which, through formal procedures, we can find the desired approximation in the decomposition of functions, differential equations and integral equations into asymptotic series. With this method we get only the approximation we are interested in. An “asymptotic bracket” has been introduced, the rules by which it is used have been defined and specific examples of its application have been given.
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