๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

The numerical evaluation of two integral transforms

โœ Scribed by Giovanni Monegato; Antonio Strozzi

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
141 KB
Volume
211
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.

โœฆ Synopsis

We derive recurrence relationships for the evaluation of two integral transforms which are of interest for the numerical solution of some integral equations and for the construction of certain quadrature rules.

๐Ÿ“œ SIMILAR VOLUMES

Efficient and Rapid Numerical Evaluation
Efficient and Rapid Numerical Evaluation of the Two-Electron, Four-Center Coulomb Integrals Using Nonlinear Transformations and Useful Properties of Sine and Bessel Functions
โœ Hassan Safouhi ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 134 KB

Two-electron, four-center Coulomb integrals are undoubtedly the most difficult type involved in ab initio and density functional theory molecular structure calculations. Millions of such integrals are required for molecules of interest; therefore rapidity is the primordial criterion when the precisi

Numerical inversion of integral transfor
Numerical inversion of integral transforms
โœ N Mullineux; J.R Reed ๐Ÿ“‚ Article ๐Ÿ“… 1977 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 478 KB

The difficulties associated with the numerical inversion of Fourier and Laplace transforms are identified and a method, based on the modified Fourier transform, developed to overcome them. The method WC1 deal with problems which are non-linear in the sense that the parameters are frequency dependent

Asymptotic expansions for efficient and
Asymptotic expansions for efficient and accurate numerical evaluation of integral transforms
โœ Fry, G. T. ;Robinson, A. R. ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 239 KB

Analyses of practical engineering problems often require the repeated evaluation of semi-inยฎnite integral transforms whereby a single variable is changed incrementally through a large range of values. Common examples include timeยฑhistory analyses of dynamical systems, and fatigue analyses of solid b