Inverse Laplace Transform and Post Inversion Formula

Authors

Qinmao Zhang, Rose-Hulman Institute of TechnologyFollow

Document Type

Article

Publication Date

9-30-2016

First Advisor

Vincenzo Isaia

Abstract

This paper is dedicated to a general numerical approach to inverse Laplace transforms based on the Post Inversion Formula, which is a theoretical equivalent to the inverse Laplace transform. Though most approaches are too computationally intensive to be of practical use, we introduce an efficient algorithm to compute it based on the Parker-Sochacki method (PSM). This paper also contains some example MATLAB code and algorithm analysis.

Comments

MSTR 16-06

Recommended Citation

Zhang, Qinmao, "Inverse Laplace Transform and Post Inversion Formula" (2016). Mathematical Sciences Technical Reports (MSTR). 162.
https://scholar.rose-hulman.edu/math_mstr/162