Publication detail

Convergence Acceleration Techniques for Proposed Numerical Inverse Laplace Transform Method

AL-ZUBAIDI R-SMITH, N. BRANČÍK, L.

Original Title

Convergence Acceleration Techniques for Proposed Numerical Inverse Laplace Transform Method

Type

conference paper

Language

English

Original Abstract

In this paper, novel convergence accelerating techniques are adapted onto the proposed hyperbolic numerical inverse Laplace transform method (hyperbolic-NILT) and analyzed. This 1D NILT method is based on the approximation of the inverse kernel of the Laplace transform Bromwich integral exp(st). It is shown that with the use of the convergence accelerating algorithms onto the essence of the proposed NILT method, an enhancement on the core of the inversion is achieved, with relatively accurate and stable results, while preserving valuable time and memory. The algorithms are tested and their corresponding results are discussed, mainly regarding the accuracy, stability and computational efficiency. The experimental accuracy analysis tests are implemented in the universal MATLAB language with properly chosen Laplace transforms.

Keywords

Epsilon algorithm, Laplace transforms, MATLAB, numerical accuracy, numerical inversion, quotient-difference algorithm.

Authors

AL-ZUBAIDI R-SMITH, N.; BRANČÍK, L.

Released

22. 11. 2016

Publisher

IEEE

Location

Belgrade, Serbia

ISBN

978-1-5090-4086-5

Book

Proceeding of the 24th Telecommunications Forum TELFOR 2016

Pages from

1

Pages to

4

Pages count

4

URL

http://ieeexplore.ieee.org/document/7818817/

BibTex

@inproceedings{BUT129501,
  author="Nawfal {Al-Zubaidi R-Smith} and Lubomír {Brančík}",
  title="Convergence Acceleration Techniques for Proposed Numerical Inverse Laplace Transform Method",
  booktitle="Proceeding of the 24th Telecommunications Forum TELFOR 2016",
  year="2016",
  pages="1--4",
  publisher="IEEE",
  address="Belgrade, Serbia",
  doi="10.1109/TELFOR.2016.7818817",
  isbn="978-1-5090-4086-5",
  url="http://ieeexplore.ieee.org/document/7818817/"
}