Construction method for quadrature formulas of highest degree of precision for the Laplace transform numerical inversion by using PC is proposed. Quadrature formulas with different numbers of nodes for approximate inverse transform are used. Applying their linear combination we can find the jumps of inverse transform and its derivatives in discontinuity points of the first kind.

Translated title of the contributionOn properties of some quadrature formulas for the Laplace transform numerical inversion
Original languageRussian
Pages (from-to)16-23
Number of pages8
JournalВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. СЕРИЯ 1: МАТЕМАТИКА, МЕХАНИКА, АСТРОНОМИЯ
Issue number1
StatePublished - 2002

    Scopus subject areas

  • Mathematics(all)
  • Physics and Astronomy(all)

ID: 5140529