Methods for Laplace transform inversion

DOI10.3103/S1063454111030071zbMath1255.65230MaRDI QIDQ1759529

V. M. Ryabov, N. I. Poroshina

Publication date: 21 November 2012

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

zbMATH Keywords

Laplace transform inversionRiemann-Mellin integralLaguerre setsquadrature inversion formulaWidder method

Mathematics Subject Classification ID

Laplace transform (44A10) Numerical methods for integral transforms (65R10)

Related Items (4)

Моделирование одномерных механодиффузионных процессов в ортотропном сплошном цилиндре, находящемся под действием нестационарных объемных возмущений ⋮ Temperature dynamics in a well during local induction heating of the well casing ⋮ On the construction of quadrature rules for Laplace transform inversion ⋮ On integration contour deformation in a Laplace transform inversion formula

Cites Work

• On the summation of the Laguerre series by the Euler-Knopp method in the problem of inverting the Laplace transform
• Geometric interpretation of the Euler-Knopp summation method in the problem of inverting the Laplace transform
• Evaluation of the Riemann-Mellin integral
• On analytic continuation of a hypergeometric series using the Euler-Knopp transformation
• Inversion of the Laplace transform for some special functions
• Parabolic and hyperbolic contours for computing the Bromwich integral
• Saturation and Inverse Theorems for Combinations of a Class of Exponential-Type Operators
• The Accurate Numerical Inversion of Laplace Transforms
• What is the Laplace Transform?
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