Publication result detail

Utilization of Quotient-Difference Algorithm in FFT-based Numerical ILT Method.

BRANČÍK, L.

Original Title

Utilization of Quotient-Difference Algorithm in FFT-based Numerical ILT Method.

English Title

Utilization of Quotient-Difference Algorithm in FFT-based Numerical ILT Method.

Type

Paper in proceedings (conference paper)

Original Abstract

In the paper a quotient-difference algorithm of Rutishauser is utilized to improve a FFT-based method for a numerical inverse Laplace transformation (NILT). The algorithm accelerates a convergence of a complex Fourier series replacing it by a continued fraction. Compared to an epsilon algorithm used earlier the q-d algorithm is more numerically stable giving the same results in a practical way.

English abstract

In the paper a quotient-difference algorithm of Rutishauser is utilized to improve a FFT-based method for a numerical inverse Laplace transformation (NILT). The algorithm accelerates a convergence of a complex Fourier series replacing it by a continued fraction. Compared to an epsilon algorithm used earlier the q-d algorithm is more numerically stable giving the same results in a practical way.

Keywords

quotient-difference algorithm, FFT, numerical inversion, Laplace transform

Key words in English

quotient-difference algorithm, FFT, numerical inversion, Laplace transform

Authors

BRANČÍK, L.

Released

10.05.2001

Publisher

The Institute of Radio Electronics, Brno University of Technology

Location

Brno

ISBN

80-214-1861-3

Book

Proceedings of the 11th International Czech-Slovak Scientific Conference Radioelektronika 2001

Pages from

352

Pages count

4

BibTex

@inproceedings{BUT3744,
  author="Lubomír {Brančík}",
  title="Utilization of Quotient-Difference Algorithm in FFT-based Numerical ILT Method.",
  booktitle="Proceedings of the 11th International Czech-Slovak Scientific Conference Radioelektronika 2001",
  year="2001",
  number="1.",
  pages="4",
  publisher="The Institute of Radio Electronics, Brno University of Technology",
  address="Brno",
  isbn="80-214-1861-3"
}