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

English Title

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

Type

journal article

Language

en

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

RIV year

2011

Released

01.03.2011

Publisher

IEICE

Location

Tokio, Japonsko

Pages from

999

Pages to

1001

Pages count

3

URL

BibTex


@article{BUT50870,
  author="Lubomír {Brančík}",
  title="Error Analysis at Numerical Inversion of Multidimensional Laplace Transforms based on Complex Fourier Series Approximation",
  annote="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.",
  address="IEICE",
  chapter="50870",
  institution="IEICE",
  number="3",
  volume="E94-A",
  year="2011",
  month="march",
  pages="999--1001",
  publisher="IEICE",
  type="journal article"
}