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A New Class of Analysis-Based Fast Transforms: With applications to classical integral transforms and special function expansions - Couverture souple

O'Neil, Michael

 
9783838309279: A New Class of Analysis-Based Fast Transforms: With applications to classical integral transforms and special function expansions
Couverture souple
ISBN 10 : 3838309278 ISBN 13 : 9783838309279
Editeur : LAP Lambert Academic Publishing, 2009

Synopsis

This book introduces a new approach to the rapid numerical application of certain types of linear operators to arbitrary vectors. The scheme is applicable to many classical integral transforms, and to the expansions associated with most families of classical special functions, including, among others, Bessel functions, Legendre, Hermite, and Laguerre polynomials, Spherical Harmonics, and Prolate Spheroidal Wave functions. Calculations of this type are encountered in geophysical modeling, submarine warfare, quantum mechanical calculations, and simulation of radar phenomena. The performance of the algorithm is illustrated via a number of numerical examples. The material presented in this book assumes a working knowledge of linear algebra and calculus. Graduate level students and practitioners in the fields of scientific computing, numerical linear algebra, and mathematical physics will find this book useful.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

This book introduces a new approach to the rapid numerical application of certain types of linear operators to arbitrary vectors. The scheme is applicable to many classical integral transforms, and to the expansions associated with most families of classical special functions, including, among others, Bessel functions, Legendre, Hermite, and Laguerre polynomials, Spherical Harmonics, and Prolate Spheroidal Wave functions. Calculations of this type are encountered in geophysical modeling, submarine warfare, quantum mechanical calculations, and simulation of radar phenomena. The performance of the algorithm is illustrated via a number of numerical examples. The material presented in this book assumes a working knowledge of linear algebra and calculus. Graduate level students and practitioners in the fields of scientific computing, numerical linear algebra, and mathematical physics will find this book useful.

Biographie de l'auteur

Michael O'Neil received his B.A. in Mathematics from Cornell University in 2003, and his Ph.D. in Applied Mathematics from Yale University in 2007. His research interests include scientific computing, numerical solutions to integral equations, and numerical linear algebra.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP Lambert Academic Publishing
Date d'édition
2009
Langue
anglais
ISBN 10 
3838309278
ISBN 13 
9783838309279
Reliure
Broché
Nombre de pages
100
Coordonnées du fabricant
non disponible
Personne responsable
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