Detail publikace

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

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

Jazyk

en

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.

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 - other"
}