Algorithms for Parameter Selection in the Weeks Method for Inverting the Laplace Transform

DOI10.1137/S1064827596312432zbMath0944.65137MaRDI QIDQ4702374

J. A. C. Weideman

Publication date: 24 November 1999

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

algorithmsLaplace transformnumerical examplesnumerical inversionLaguerre expansionoptimal parametersWeeks method

Mathematics Subject Classification ID

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

Related Items

Review of inverse Laplace transform algorithms for Laplace-space numerical approaches, Numerical calculations accuracy comparison of the inverse Laplace transform algorithms for solutions of fractional order differential equations, Unnamed Item, Fully numerical Laplace transform methods, Performance comparison of numerical inversion methods for Laplace and Hankel integral transforms in engineering problems, On moments based Padé approximations of ruin probabilities, Dempster-Shafer evidential theory for the automated selection of parameters for Talbot's method contours and application to matrix exponentiation, Bridging scales analysis of wave propagation in heterogeneous structures with imperfections, Remarks on numerical algorithms for computing the inverse Laplace transform, An algorithm for the inversion of Laplace transforms using Puiseux expansions, Application of Post's formula to optical pulse propagation in dispersive media, An accurate numerical inversionof Laplace transforms based on the location of their poles, An ergodic approach to Laplace transforms on time scales, Numerical solution of the Bagley-Torvik equation using Laguerre polynomials, On the inversion of some integral transforms by the use of the generalized oblate spheroidal wave functions, Algorithm 946

Uses Software

• Algorithm 662
• Algorithm 682