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  • Laplace transforms in two variables can very be useful for solving certain partial differential equations, namely those describing transient behaviour of linear dynamical systems. In practice, it is often either too difficult or even impossible to obtain corresponding originals by analytic methods. In such cases methods that enable getting original numerically have to be applied. The 2D-NILT method based on FFT, recently published and verified in Matlab language, seems to be well usable. Its main advantage lies in high speed of calculation, however, it is necessary to connect it always with proper technique of acceleration of the convergence to achieve required accuracy. It was shown either the epsilon or the quotient-difference algorithms are very suitable for this purpose. In the paper an error analysis, comparison and evaluation of the optimal NILT parameters are newly presented.
  • Laplace transforms in two variables can very be useful for solving certain partial differential equations, namely those describing transient behaviour of linear dynamical systems. In practice, it is often either too difficult or even impossible to obtain corresponding originals by analytic methods. In such cases methods that enable getting original numerically have to be applied. The 2D-NILT method based on FFT, recently published and verified in Matlab language, seems to be well usable. Its main advantage lies in high speed of calculation, however, it is necessary to connect it always with proper technique of acceleration of the convergence to achieve required accuracy. It was shown either the epsilon or the quotient-difference algorithms are very suitable for this purpose. In the paper an error analysis, comparison and evaluation of the optimal NILT parameters are newly presented. (en)
Title
  • Convergence Acceleration and Optimal Parameter Estimation at FFT-based 2D-NILT Method
  • Convergence Acceleration and Optimal Parameter Estimation at FFT-based 2D-NILT Method (en)
skos:prefLabel
  • Convergence Acceleration and Optimal Parameter Estimation at FFT-based 2D-NILT Method
  • Convergence Acceleration and Optimal Parameter Estimation at FFT-based 2D-NILT Method (en)
skos:notation
  • RIV/00216305:26220/04:PU44170!RIV11-MSM-26220___
http://linked.open...avai/riv/aktivita
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  • P(GA102/03/0241), V, Z(MSM 262200011), Z(MSM 262200022)
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  • 558803
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  • RIV/00216305:26220/04:PU44170
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  • Convergence acceleration, Two-dimensional Laplace transform, Numerical inversion, epsilon-algorithm, quotient-difference algorithm (en)
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  • [8BE85F5BDF64]
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  • Proceedings of VI. International Workshop %22Computational Problems of Electrical Engineering%22
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  • Brančík, Lubomír
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  • Neuveden
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  • 83-916444-4-8
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  • 26220
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