Computation of time domain response by numerical inversion of the Laplace transform

DOI10.1016/0016-0032(75)90133-7zbMath0313.65051OpenAlexW2068329386MaRDI QIDQ1220360

Kishore Singhal, Jiri Vlach

Publication date: 1975

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0016-0032(75)90133-7

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Numerical methods for integral equations (65R20) Laplace transform (44A10)

Related Items

Corridor options and arc-sine law. ⋮ Inversion of the multi-dimensional Laplace transform-expansion by Laguerre series ⋮ Least squares coefficients for a quadrature formula for Laplace transform inversion ⋮ Method for computing time response of systems described by transfer functions ⋮ Approximate formulae for numerical inversion of Laplace transforms ⋮ The numerical solution of linear time-dependent partial differential equations by the Laplace and fast Fourier transforms ⋮ Applications of numerical double Laplace transform algorithms to the solution of linear partial differential equations ⋮ Numerical inversion of the Laplace transform: a survey and comparison of methods ⋮ Complex Variable and Regularization Methods of Inversion of the Laplace Transform

Cites Work

• An efficient method of numerical inversion of Laplace transforms
• On a numerical method for the calculation of transient responses
• Gaussian quadrature formulas for the numerica l integration of Bromwich's integral and the inversion of the Laplace transform
• A new method of inversion of the Laplace transform
• Tables for the Numerical Calculation of Inverse Laplace Transforms
• Numerical Inversion of Laplace Transforms by Relating Them to the Finite Fourier Cosine Transform
• New quadrature formulas for the numerical inversion of the Laplace transform
• The fast Fourier transform algorithm: Programming considerations in the calculation of sine, cosine and Laplace transforms
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