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. It comes with a complimentary CD Rom.
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)
|Mathematical properties||p. 11|
|Construction of EF formulae for functions with oscillatory or hyperbolic variation||p. 53|
|Numerical differentiation, quadrature and interpolation||p. 77|
|Linear multistep solvers for ordinary differential equations||p. 145|
|Runge-Kutta solvers for ordinary differential equations||p. 223|
|Table of Contents provided by Blackwell. All Rights Reserved.|
Series: Mathematics and Its Applications
Number Of Pages: 308
Published: 26th May 2004
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 29.7 x 21.0 x 1.91
Weight (kg): 1.39