Exponential Fitting / Edition 1

Exponential Fitting / Edition 1

by Liviu Gr. Ixaru, Guido Vanden Berghe
     
 

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

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Overview

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.

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Product Details

ISBN-13:
9781402020995
Publisher:
Springer Netherlands
Publication date:
05/26/2004
Series:
Mathematics and Its Applications (closed) Series, #568
Edition description:
2004
Pages:
308
Product dimensions:
9.21(w) x 6.14(h) x 0.75(d)

Meet the Author

Table of Contents

1Introduction1
2Mathematical properties11
3Construction of EF formulae for functions with oscillatory or hyperbolic variation53
4Numerical differentiation, quadrature and interpolation77
5Linear multistep solvers for ordinary differential equations145
6Runge-Kutta solvers for ordinary differential equations223

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