Detail publikace

Numerical Inversion of 3D Laplace Transforms for Weakly Nonlinear Systems Solution

Originální název

Numerical Inversion of 3D Laplace Transforms for Weakly Nonlinear Systems Solution

Anglický název

Numerical Inversion of 3D Laplace Transforms for Weakly Nonlinear Systems Solution

Jazyk

en

Originální abstrakt

The paper deals with a technique for numerical inversion of three-dimensional Laplace transforms (3D NILT) being based on the FFT & IFFT in conjunction with the quotient-difference algorithm. This method generalizes 2D NILT technique developed formerly to three variables. Especially an error analysis has resulted in a new formula equating a relative error of the method to paths of the integration of triple Bromwich integral. To evaluate triple infinite sums obtained by numerical integration, the partial inversion technique is used. The method was algorithmized in Matlab language environment and applied for solving a response of a weakly nonlinear circuit via Volterra series expansion to demonstrate its practical usefulness.

Anglický abstrakt

The paper deals with a technique for numerical inversion of three-dimensional Laplace transforms (3D NILT) being based on the FFT & IFFT in conjunction with the quotient-difference algorithm. This method generalizes 2D NILT technique developed formerly to three variables. Especially an error analysis has resulted in a new formula equating a relative error of the method to paths of the integration of triple Bromwich integral. To evaluate triple infinite sums obtained by numerical integration, the partial inversion technique is used. The method was algorithmized in Matlab language environment and applied for solving a response of a weakly nonlinear circuit via Volterra series expansion to demonstrate its practical usefulness.

BibTex


@inproceedings{BUT29366,
  author="Lubomír {Brančík}",
  title="Numerical Inversion of 3D Laplace Transforms for Weakly Nonlinear Systems Solution",
  annote="The paper deals with a technique for numerical inversion of three-dimensional Laplace transforms (3D NILT) being based on the FFT & IFFT in conjunction with the quotient-difference algorithm. This method generalizes 2D NILT technique developed formerly to three variables. Especially an error analysis has resulted in a new formula equating a relative error of the method to paths of the integration of triple Bromwich integral. To evaluate triple infinite sums obtained by numerical integration, the partial inversion technique is used. The method was algorithmized in Matlab language environment and applied for solving a response of a weakly nonlinear circuit via Volterra series expansion to demonstrate its practical usefulness.",
  address="Brno University of Technology",
  booktitle="Proceedings of 20th International Conference RADIOELEKTRONIKA 2010",
  chapter="29366",
  howpublished="electronic, physical medium",
  institution="Brno University of Technology",
  year="2010",
  month="april",
  pages="221--224",
  publisher="Brno University of Technology",
  type="conference paper"
}