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

O'Neil, Michael

Softcover

ISBN 10: 3838309278 ISBN 13: 9783838309279

Verlag: LAP Lambert Academic Publishing, 2009

Inhaltsangabe

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.

Über diesen Titel

Über die Autorin bzw. den Autor

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.

Details zur Ausgabe

• Verlag: LAP Lambert Academic Publishing
• Erscheinungsdatum: 2009
• Sprache: Englisch
• ISBN 10: 3838309278
• ISBN 13: 9783838309279
• Einband: Taschenbuch
• Anzahl der Seiten: 100
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: KreGa Onlinehandel GmbH; 4950000000000; info@krega-onlinehandel.de; ; Birkenweg 31; Brakel; 33034; Deutschland