Some aspects of Gaussian quadrature formulae for the numerical inversion of the Laplace transform
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This article is published in The Computer Journal.The article was published on 1971-01-01 and is currently open access. It has received 22 citations till now. The article focuses on the topics: Laplace transform applied to differential equations & Gauss–Kronrod quadrature formula.read more
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Book ChapterDOI
A Survey of Gauss-Christoffel Quadrature Formulae
TL;DR: A survey of Gauss-Christoffel quadrature formulae can be found in this paper, with a discussion of the error and convergence theory of the quadratures.
Journal ArticleDOI
Numerical Transform Inversion Using Gaussian Quadrature
TL;DR: In this paper, a simple Laplace transform inversion algorithm was proposed that can compute the desired function values for a much larger class of Laplace transforms than the ones that can be inverted with the known methods in the literature.
Journal ArticleDOI
Numerical inversion of the Laplace transform using generalised Laguerre polynomials
Robert Piessens,Maria Branders +1 more
TL;DR: In this article, the authors present two methods for numerical inversion of a Laplace transform, a very economical method, suitable only for a limited class of Laplace transforms, and a general method, which is compared with other general methods.
Journal ArticleDOI
Algorithm 454: the complex method for constrained optimization [E4]
Joel A. Richardson,J. L. Kuester +1 more
TL;DR: An efficient solut ion has been found to depend on a number of ad hoc strategies, which are descr ibed in detail in the paper .
Journal ArticleDOI
Evaluation of stress gradients ??ij(z) from their discrete laplace transforms ??ij(τk) obtained by x-ray diffraction performed in the scattered vector mode
TL;DR: In this article, the inverse Laplace transform is applied to the analysis of residual stress gradients in X-ray diffraction to obtain the Laplace profiles of the stresses and the penetration depth of the X-rays.
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On integration contour deformation in a Laplace transform inversion formula
A. V. Lebedeva,V. M. Ryabov +1 more