Mathematics and Its Applications

Exponential Fitting

Authors: Ixaru, Liviu Gr., Vanden Berghe, Guido

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eBook 74,96 €
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  • ISBN 978-1-4020-2100-8
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Hardcover 114,39 €
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  • ISBN 978-1-4020-2099-5
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Softcover 93,59 €
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  • ISBN 978-90-481-6590-2
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About this book

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.

Reviews

From the reviews:

"This book concerns exponential fitting in various areas of numerical analysis. It surveys recent research work in these areas with particular emphasis on the solution of initial value problems for ordinary differential equations. It will be of interest to researchers in application areas … but more particularly to those investigating and extending algorithms for exponential fitting. … FORTRAN95 code for most of the formulae is given in the text … to make it easy to try out the formulae." (Kenneth Wright, Mathematical Reviews, Issue 2006 f)


Table of contents (6 chapters)

  • Introduction

    Ixaru, Liviu Gr. (et al.)

    Pages 1-10

    Preview Buy Chapter 30,19 €
  • Mathematical Properties

    Ixaru, Liviu Gr. (et al.)

    Pages 11-52

    Preview Buy Chapter 30,19 €
  • Construction of EF Formulae for Functions with Oscillatory or Hyperbolic Variation

    Ixaru, Liviu Gr. (et al.)

    Pages 53-75

    Preview Buy Chapter 30,19 €
  • Numerical Differentiation, Quadrature and Interpolation

    Ixaru, Liviu Gr. (et al.)

    Pages 77-144

    Preview Buy Chapter 30,19 €
  • Linear Multistep Solvers for Ordinary Differential Equations

    Ixaru, Liviu Gr. (et al.)

    Pages 145-222

    Preview Buy Chapter 30,19 €

Buy this book

eBook 74,96 €
price for Spain (gross)
  • ISBN 978-1-4020-2100-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 114,39 €
price for Spain (gross)
  • ISBN 978-1-4020-2099-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 93,59 €
price for Spain (gross)
  • ISBN 978-90-481-6590-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Exponential Fitting
Authors
Series Title
Mathematics and Its Applications
Series Volume
568
Copyright
2004
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media B.V.
eBook ISBN
978-1-4020-2100-8
DOI
10.1007/978-1-4020-2100-8
Hardcover ISBN
978-1-4020-2099-5
Softcover ISBN
978-90-481-6590-2
Edition Number
1
Number of Pages
XIV, 308
Topics