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

نویسنده

  • Lubomír Brancík
چکیده

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. key words: numerical inversion, multidimensional Laplace transform, complex Fourier series, error analysis

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عنوان ژورنال:
  • IEICE Transactions

دوره 94-A  شماره 

صفحات  -

تاریخ انتشار 2011