Numerical accuracy of real inversion formulas for the Laplace transform

DOI10.1016/j.cam.2009.10.033zbMath1183.65172OpenAlexW2106462064MaRDI QIDQ847232

Viktoriya Masol, Jozef L. Teugels

Publication date: 12 February 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.10.033

zbMATH Keywords

Laplace transformnumerical examplesnumerical inversiongamma distributionGaver-Stehfest inversionPost-Widder inversionShohat-Tamarkin formulaWidder inversion

Mathematics Subject Classification ID

Laplace transform (44A10) Numerical methods for integral transforms (65R10) Numerical methods for ill-posed problems for integral equations (65R30)

Related Items (5)

Numerical calculations accuracy comparison of the inverse Laplace transform algorithms for solutions of fractional order differential equations ⋮ On the approximation of functions satisfying defective renewal equations ⋮ Approximate simulation techniques and distribution of an extended gamma process ⋮ Closed-loop time response analysis of irrational fractional-order systems with numerical Laplace transform technique ⋮ Fractional/distributed-order systems and irrational transfer functions with monotonic step responses

Uses Software

• Algorithm 368

Cites Work

• Real inversion formula for the bilateral Laplace transform
• A real inversion formula for a class of bilateral Laplace transforms
• NUMERICAL TRANSFORM INVERSION USING GAUSSIAN QUADRATURE
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