Detail publikačního výsledku

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

BRANČÍK, L.

Originální název

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

Anglický název

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

Druh

Článek recenzovaný mimo WoS a Scopus

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

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

Klíčová slova v angličtině

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

Autoři

BRANČÍK, L.

Rok RIV

2012

Vydáno

01.03.2011

Nakladatel

IEICE

Místo

Tokio, Japonsko

ISSN

0916-8508

Periodikum

IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES

Svazek

E94-A

Číslo

3

Stát

Japonsko

Strany od

999

Strany do

1001

Strany počet

3

URL

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

Plný text v Digitální knihovně

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"
}