The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
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The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
No artigo, uma técnica de inversão numérica de transformadas multidimensionais de Laplace (nD NILT), baseado em uma aproximação complexa de séries de Fourier, é elaborado à luz de um possível erro ralativo alcançável. A análise detalhada do erro mostra uma relação entre a integração numérica de uma integral multifacetada de Bromwich e uma aproximação complexa da série de Fourier, e leva a uma nova fórmula relacionando o erro relativo limitante ao nParâmetros da técnica D NILT.
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Lubomír BRANÍK, "Error Analysis at Numerical Inversion of Multidimensional Laplace Transforms Based on Complex Fourier Series Approximation" in IEICE TRANSACTIONS on Fundamentals,
vol. E94-A, no. 3, pp. 999-1001, March 2011, doi: 10.1587/transfun.E94.A.999.
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.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E94.A.999/_p
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@ARTICLE{e94-a_3_999,
author={Lubomír BRANÍK, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Error Analysis at Numerical Inversion of Multidimensional Laplace Transforms Based on Complex Fourier Series Approximation},
year={2011},
volume={E94-A},
number={3},
pages={999-1001},
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={},
doi={10.1587/transfun.E94.A.999},
ISSN={1745-1337},
month={March},}
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TY - JOUR
TI - Error Analysis at Numerical Inversion of Multidimensional Laplace Transforms Based on Complex Fourier Series Approximation
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 999
EP - 1001
AU - Lubomír BRANÍK
PY - 2011
DO - 10.1587/transfun.E94.A.999
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E94-A
IS - 3
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - March 2011
AB - 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.
ER -