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- About this book
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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
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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)
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Introduction
Pages 1-10
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Mathematical Properties
Pages 11-52
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Construction of EF Formulae for Functions with Oscillatory or Hyperbolic Variation
Pages 53-75
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Numerical Differentiation, Quadrature and Interpolation
Pages 77-144
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Linear Multistep Solvers for Ordinary Differential Equations
Pages 145-222
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Table of contents (6 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Exponential Fitting
- Authors
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- Liviu Gr. Ixaru
- Guido Vanden Berghe
- 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
