Handbook of Computational Methods for Integration

Prem K. Kythe, Michael R. Schäferkotter

598 pages, parution le 13/12/2004

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Résumé

During the past 20 years, there has been enormous productivity in theoretical as well as computational integration. Some attempts have been made to find an optimal or best numerical method and related computer code to put to rest the problem of numerical integration, but the research is continuously ongoing, as this problem is still very much open-ended. The importance of numerical integration in so many areas of science and technology has made a practical, up-to-date reference on this subject long overdue.

The Handbook of Computational Methods for Integration discusses quadrature rules for finite and infinite range integrals and their applications in differential and integral equations, Fourier integrals and transforms, Hartley transforms, fast Fourier and Hartley transforms, Laplace transforms and wavelets. The practical, applied perspective of this book makes it unique among the many theoretical books on numerical integration and quadrature. It will be a welcomed addition to the libraries of applied mathematicians, scientists, and engineers in virtually every discipline.

Presents quadrature rules for integrals over finite and infinite intervals in a format suitable for direct application in computation
Covers a broad range of applications in differential and integral equations, Fourier integrals and transforms, Hartley transforms, fast Fourier and Hartley transforms, Laplace transforms, and wavelets
Offers a presentation rich in applications, examples, algorithms, and computer code in C++, f90, MATLAB and Mathematica

Comes with a CD-ROM that contains computer source codes and quadrature tables in ASCII format, pdf files dealing with algorithms, boundary element method code, and over 5800 integration formulas

Sommaire

Preliminaries
Interpolarity Quadrature
Gaussian Quadrature
Improper Integrals
Singular Integrals
Fourier Integrals and Transforms
Inversion of Laplace Transforms
Wavelets
Integral Equations
A: Quadrature Tables
B: Figures
C: Contents of the CD-R

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Chapman and Hall / CRC
Auteur(s)	Prem K. Kythe, Michael R. Schäferkotter
Parution	13/12/2004
Nb. de pages	598
Format	16 x 24
Couverture	Relié
Poids	1034g
Intérieur	Noir et Blanc
EAN13	9781584884286
ISBN13	978-1-58488-428-6