Publication 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

Type

journal article - other

Language

English

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.

Keywords

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

Authors

BRANČÍK, L.

RIV year

2011

Released

1. 3. 2011

Publisher

IEICE

Location

Tokio, Japonsko

ISBN

0916-8508

Periodical

IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES

Year of study

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

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"
}