加速广义Laguerre多项式级数的Laplace变换的数值反演方法

The Method for Numerical Inversion of the Laplace Transform by Accelerating the Series of Generalized Laguerre Polynomials

本文利用Levint变换迭代法,对加速广义Laguerre多项式级数,提出了一种新的Laplace变换的数值反演方法,这种方法在精度上和数值稳定性上的效果都较好。

The rate of convergence of the series of generalized Laguerre polynomials is accelerated by the iterations of Levin t-transformation. A new method of numerical inversion of Laplace transforms is presented. The method is more effective not only in accuracy but also in numerical stability.