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Numerical Methods Based on Sinc and Analytic Functions

  • Frank Stenger

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

Table of contents

  1. Front Matter
    Pages i-xv
  2. Frank Stenger
    Pages 1-103
  3. Frank Stenger
    Pages 105-130
  4. Frank Stenger
    Pages 131-178
  5. Frank Stenger
    Pages 179-242
  6. Frank Stenger
    Pages 243-310
  7. Frank Stenger
    Pages 311-440
  8. Frank Stenger
    Pages 441-531
  9. Back Matter
    Pages 533-565

About this book

Introduction

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.

Keywords

Approximation approximation theory numerical analysis

Authors and affiliations

  • Frank Stenger
    • 1
  1. 1.Department of Computer ScienceThe University of UtahSalt Lake CityUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-2706-9
  • Copyright Information Springer-Verlag New York 1993
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-7637-1
  • Online ISBN 978-1-4612-2706-9
  • Series Print ISSN 0179-3632
  • Buy this book on publisher's site
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