Publication detail

Numerical Inversion of Two-Dimensional Laplace Transforms Based on Partial Inversions

BRANČÍK, L.

Original Title

Numerical Inversion of Two-Dimensional Laplace Transforms Based on Partial Inversions

English Title

Numerical Inversion of Two-Dimensional Laplace Transforms Based on Partial Inversions

Type

conference paper

Language

en

Original Abstract

The paper deals with a technique for numerical inversion of two-dimensional Laplace transforms based on the FFT & IFFT in conjunction with a quotient-difference algorithm of Rutishauser. In contrast to the existing FFT-based technique the presented one is based on a repeated application of one-dimensional partial Laplace transform inversions. The method promises a generalization towards multidimensional numerical inverse Laplace transforms because it establishes more effective unified algorithmic approach to a computation. The method was programmed using Matlab language and analyzed as for its accuracy.

English abstract

The paper deals with a technique for numerical inversion of two-dimensional Laplace transforms based on the FFT & IFFT in conjunction with a quotient-difference algorithm of Rutishauser. In contrast to the existing FFT-based technique the presented one is based on a repeated application of one-dimensional partial Laplace transform inversions. The method promises a generalization towards multidimensional numerical inverse Laplace transforms because it establishes more effective unified algorithmic approach to a computation. The method was programmed using Matlab language and analyzed as for its accuracy.

Keywords

Numerical inversion, two-dimensional Laplace transform, partial inversion, FFT, quotient-difference algorithm, Matlab language

RIV year

2007

Released

24.04.2007

Publisher

FEKT VUT v Brně

Location

Brno

ISBN

978-1-4244-0821-4

Book

Proceedings of 17th International Conference Radioelektronika 2007

Pages from

451

Pages to

454

Pages count

4

BibTex


@inproceedings{BUT23644,
  author="Lubomír {Brančík}",
  title="Numerical Inversion of Two-Dimensional Laplace Transforms Based on Partial Inversions",
  annote="The paper deals with a technique for numerical inversion of two-dimensional Laplace transforms based on   the FFT & IFFT in conjunction with a quotient-difference algorithm of Rutishauser. In contrast to the existing FFT-based technique the presented one is based on a repeated application of one-dimensional partial Laplace transform inversions. The method promises a generalization towards  multidimensional numerical inverse Laplace transforms because it establishes more effective unified algorithmic approach to a computation. The method was programmed using Matlab language and analyzed as for its accuracy.",
  address="FEKT VUT v Brně",
  booktitle="Proceedings of 17th International Conference Radioelektronika 2007",
  chapter="23644",
  institution="FEKT VUT v Brně",
  year="2007",
  month="april",
  pages="451--454",
  publisher="FEKT VUT v Brně",
  type="conference paper"
}