Journal ArticleDOI
Extrapolation Methods for Oscillatory Infinite Integrals
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This article is published in Ima Journal of Applied Mathematics.The article was published on 1980-08-01. It has received 77 citations till now. The article focuses on the topics: Extrapolation.read more
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Journal ArticleDOI
Two New Classes of Nonlinear Transformations for Accelerating the Convergence of Infinite Integrals and Series
David Levin,Avram Sidi +1 more
TL;DR: In this paper, two nonlinear transformations, the D-transformation to accelerate the convergence of infinite integrals and the d -transformation for infinite series, are presented, and the computational aspects of these transformations are described in detail.
Journal ArticleDOI
Evaluation of Tweedie exponential dispersion model densities by Fourier inversion
Peter K. Dunn,Gordon K. Smyth +1 more
TL;DR: The Fourier inversion method is compared to a series evaluation method and the two methods are found to be complementary in that they perform well in different regions of the parameter space.
BookDOI
Modelling operational risk using Bayesian inference
TL;DR: In this paper, the authors propose a Bayesian approach for LDA, addressing the data truncation problem and modelling large losses and dependence on the distribution of the losses in the model.
Journal ArticleDOI
The numerical evaluation of very oscillatory infinite integrals by extrapolation
TL;DR: In this paper, a nonlinear extrapolation method was extended to cover the case of very oscillatory infinite integrals whose integrands have a complicated and increasingly rapid oscillatory behavior at infinity.
Journal ArticleDOI
A user-friendly extrapolation method for oscillatory infinite integrals
TL;DR: Developpement d'une methode d'extrapolation flexible for les integrales infinies oscillatoires as discussed by the authors, a methode flexible for the integralisation of oscillatoire.
References
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Book
Introduction to approximation theory
TL;DR: In this paper, Tchebycheff polynomials and other linear families have been used for approximating least-squares approximations to systems of equations with one unknown solution.
Journal ArticleDOI
Two New Classes of Nonlinear Transformations for Accelerating the Convergence of Infinite Integrals and Series
David Levin,Avram Sidi +1 more
TL;DR: In this paper, two nonlinear transformations, the D-transformation to accelerate the convergence of infinite integrals and the d -transformation for infinite series, are presented, and the computational aspects of these transformations are described in detail.
Journal ArticleDOI
Analysis of convergence of the $T$-transformation for power series
TL;DR: In this article, the convergence theorems of general nature for Levin's nonlinear sequence transformations are extended and sharpened to cover the case of power series, both inside and on their circle of convergence.
Journal ArticleDOI
Numerical inversion of the Laplace transform by accelerating the convergence of Bromwick's integral☆
TL;DR: In this article, a direct generalization of a convergence acceleration algorithm due to the author to infinite integrals is presented, and used to obtain an efficient method for numerical inversion of the Laplace transform.
Related Papers (5)
Two New Classes of Nonlinear Transformations for Accelerating the Convergence of Infinite Integrals and Series
David Levin,Avram Sidi +1 more