Laplace变换数值反演的参数选择

Parameters determination in numerical inversion of Laplace transforms

针对Laplace变换数值反演的参数选择需要先验知识,推导了Laplace变换数值反演方法的误差表达式,使用规定的相对误差选择衰减指数;基于最大模原理选择截断项数,使得计算结果满足规定的相对误差:最后,通过一个算例验证了本文参数选择的有效性.

The numerical inversion of Laplace transforms needs prior information to determine the correlative parameters. The error expression is presented, and attenuation exponent is selected with the set relation accuracy. The maximum modulus principle is used to determine truncation term number with the approximate result meeting the set relation accuracy. Thus the method presented in this paper is demonstrated to be effective.