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Exponential Fitting

  • Liviu Gr. Ixaru
  • Guido Vanden Berghe

Part of the Mathematics and Its Applications book series (MAIA, volume 568)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Liviu Gr. Ixaru, Guido Vanden Berghe
    Pages 1-10
  3. Liviu Gr. Ixaru, Guido Vanden Berghe
    Pages 11-52
  4. Liviu Gr. Ixaru, Guido Vanden Berghe
    Pages 77-144
  5. Liviu Gr. Ixaru, Guido Vanden Berghe
    Pages 145-222
  6. Liviu Gr. Ixaru, Guido Vanden Berghe
    Pages 223-304
  7. Back Matter
    Pages 305-308

About this book

Introduction

Exponential Fitting is a procedure for an efficient numerical approach of functions consisting of weighted sums of exponential, trigonometric or hyperbolic functions with slowly varying weight functions. This book is the first one devoted to this subject. Operations on the functions described above like numerical differentiation, quadrature, interpolation or solving ordinary differential equations whose solution is of this type, are of real interest nowadays in many phenomena as oscillations, vibrations, rotations, or wave propagation.
The authors studied the field for many years and contributed to it. Since the total number of papers accumulated so far in this field exceeds 200 and the fact that these papers are spread over journals with various profiles (such as applied mathematics, computer science, computational physics and chemistry) it was time to compact and to systematically present this vast material.
In this book, a series of aspects is covered, ranging from the theory of the procedure up to direct applications and sometimes including ready to use programs. The book can also be used as a textbook for graduate students.

Keywords

Interpolation Mathematica computer computer science differential equation

Authors and affiliations

  • Liviu Gr. Ixaru
    • 1
  • Guido Vanden Berghe
    • 2
  1. 1.“Horia Hulubei”, Department of Theoretical PhysicsNational Institute for Research and Development for Physics and Nuclear EngineeringBucharestRomania
  2. 2.Department of Applied Mathematics and Computer ScienceUniversity of GentGentBelgium

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4020-2100-8
  • Copyright Information Springer Science+Business Media B.V. 2004
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-6590-2
  • Online ISBN 978-1-4020-2100-8
  • Buy this book on publisher's site