Publication result detail

Error Analysis at Numerical Inversion of Multidimensional Laplace Transforms based on Complex Fourier Series Approximation

BRANČÍK, L.

Original Title

Error Analysis at Numerical Inversion of Multidimensional Laplace Transforms based on Complex Fourier Series Approximation

English Title

Error Analysis at Numerical Inversion of Multidimensional Laplace Transforms based on Complex Fourier Series Approximation

Type

Peer-reviewed article not indexed in WoS or Scopus

Original Abstract

In the paper, a technique of the numerical inversion of multidimensional Laplace transforms (nD NILT), based on a complex Fourier series approximation is elaborated in light of a possible ralative error achievable. The detailed error analysis shows a relationship between the numerical integration of a multifold Bromwich integral and a complex Fourier series approximation, and leads to a novel formula relating the limiting relative error to the nD NILT technique parameters.

English abstract

In the paper, a technique of the numerical inversion of multidimensional Laplace transforms (nD NILT), based on a complex Fourier series approximation is elaborated in light of a possible ralative error achievable. The detailed error analysis shows a relationship between the numerical integration of a multifold Bromwich integral and a complex Fourier series approximation, and leads to a novel formula relating the limiting relative error to the nD NILT technique parameters.

Keywords

numerical inversion, multidimensional Laplace transform, complex Fourier series, error analysis

Key words in English

numerical inversion, multidimensional Laplace transform, complex Fourier series, error analysis

Authors

BRANČÍK, L.

RIV year

2012

Released

01.03.2011

Publisher

IEICE

Location

Tokio, Japonsko

ISBN

0916-8508

Periodical

IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES

Volume

E94-A

Number

3

State

Japan

Pages from

999

Pages to

1001

Pages count

3

URL

http://search.ieice.org/bin/summary.php?id=e94-a_3_999&category=A&year=2011

Full text in the Digital Library

http://hdl.handle.net/

BibTex

@article{BUT50870,
  author="Lubomír {Brančík}",
  title="Error Analysis at Numerical Inversion of Multidimensional Laplace Transforms based on Complex Fourier Series Approximation",
  journal="IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES",
  year="2011",
  volume="E94-A",
  number="3",
  pages="999--1001",
  issn="0916-8508",
  url="http://search.ieice.org/bin/summary.php?id=e94-a_3_999&category=A&year=2011"
}