A simplified formula of Laplace inversion based on wavelet theory
Jizeng Wang, Huajian Gao · Communications in Numerical Methods in Engineering · 2005
Abstract A simple formula $f(x)\approx (1/2^{n+1} \pi) \sum olimits_{k=-\infty}^{+ \infty}\tilde{f}(\beta +ik/2^{n})e^{x(\beta + ik/{2^{n}})}$ for Laplace inverse transform is derived based on the wavelet theory. The efficiency and robustness are demonstrated through numerical examples. Copyright © 2005 John Wiley & Sons, Ltd.