Numerical inversion of Laplace transform using Haar wavelet operational matrices
Numerical inversion of Laplace transform using Haar wavelet operational matrices
复制标题
使用 Haar 小波运算矩阵进行拉普拉斯变换的数值反演
DOI：
10.1109/81.903196
复制
发表时间：
2001
期刊：
影响因子：
--
通讯作者：
Chih
中科院分区：
文献类型：
--
作者：
Jiunn;Chin;Chih
本文首先给出了包括哈尔小波在内的各种正交函数运算矩阵的统一推导。基于导出的运算矩阵，本文提出了一种新的拉普拉斯变换数值逆的方法。该方法只涉及矩阵乘法和一般的代数运算。与字典型方法和轮廓积分法相比，该方法简单得多。
In this paper, a unified derivation of the operational matrices of various orthogonal functions including the Haar wavelet is first given. Based on the derived operational matrix, this paper presents a new method for performing numerical inversion of the Laplace transform. Only matrix multiplications and ordinary algebraic operations are involved in the method. The proposed method is much simpler as compared with the dictionary-type method and the contour-integration method.