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Numerical Methods Based on Sinc and Analytic Functions

  • Book
  • © 1993

Overview

Part of the book series: Springer Series in Computational Mathematics (SSCM, volume 20)

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About this book

Many mathematicians, scientists, and engineers are familiar with the Fast Fourier Transform, a method based upon the Discrete Fourier Transform. Perhaps not so many mathematicians, scientists, and engineers recognize that the Discrete Fourier Transform is one of a family of symbolic formulae called Sinc methods. Sinc methods are based upon the Sinc function, a wavelet-like function replete with identities which yield approximations to all classes of computational problems. Such problems include problems over finite, semi-infinite, or infinite domains, problems with singularities, and boundary layer problems. Written by the principle authority on the subject, this book introduces Sinc methods to the world of computation. It serves as an excellent research sourcebook as well as a textbook which uses analytic functions to derive Sinc methods for the advanced numerical analysis and applied approximation theory classrooms. Problem sections and historical notes are included.

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Table of contents (7 chapters)

Authors and Affiliations

  • Department of Computer Science, The University of Utah, Salt Lake City, USA

    Frank Stenger

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Bibliographic Information

  • Book Title: Numerical Methods Based on Sinc and Analytic Functions

  • Authors: Frank Stenger

  • Series Title: Springer Series in Computational Mathematics

  • DOI: https://doi.org/10.1007/978-1-4612-2706-9

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York, Inc. 1993

  • Softcover ISBN: 978-1-4612-7637-1Published: 17 September 2011

  • eBook ISBN: 978-1-4612-2706-9Published: 06 December 2012

  • Series ISSN: 0179-3632

  • Series E-ISSN: 2198-3712

  • Edition Number: 1

  • Number of Pages: XV, 565

  • Topics: Numerical Analysis

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