Acceleration of the convergence of the laguerre series in the problem of inverting the laplace transform

M. M. Kabardov, V. M. Ryabov

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

When the Laplace transform is inverted numerically, the original function is sought in the form of a series in the Laguerre polynomials. To accelerate the convergence of this series, the Euler-Knopp method is used. The techniques for selecting the optimal value of the parameter of the transform on the real axis and in the complex plane are proposed.

Original languageEnglish
Pages (from-to)579-588
Number of pages10
JournalComputational Mathematics and Mathematical Physics
Volume49
Issue number4
DOIs
StatePublished - 1 Apr 2009

Scopus subject areas

  • Computational Mathematics

Keywords

  • Acceleration of convergence
  • Euler-Knopp method
  • Inversion of the Laplace transform
  • Laguerre series
  • Laplace transform

Fingerprint

Dive into the research topics of 'Acceleration of the convergence of the laguerre series in the problem of inverting the laplace transform'. Together they form a unique fingerprint.

Cite this