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Exponential Fitting

Liviu Gr. Ixaru and Guido Vanden Berghe
Publisher: 
Kluwer Academic Publishers
Publication Date: 
2004
Number of Pages: 
308
Format: 
Hardcover with CDROM
Series: 
Mathematics and Its Applications 568
Price: 
116.00
ISBN: 
978-1-4020-2099-5
Category: 
Monograph
We do not plan to review this book.

 Preface. Acknowledgements.
1: Introduction.
2: Mathematical Properties. 1. A reference differential equation. 2. A regularization procedure. 3. An outline of the exponential fitting procedure. 4. The theory of the exponential fitting approach.
3: Constructions of EF Formulae for Functions with Oscillatory or Hyperbolic Variation. 1. The Schrödinger equation. 2. Functions etas(Z), s = -1, 0, 1, 2,.... 3. A six-step flow chart.
4: Numerical Differentiation Quadrature and Interpolation. 1. Numerical differentiation. 2. Quadrature. 3. Interpolation.
5: Linear Multistep Solvers for Ordinary Differential Equations. 1. First order equations. 2. Second order equations.
6: Runge-Kutta Solvers for Ordinary Differential Equations. 1.Formalism and construction scheme for classical Runge-Kutta methods. 2. Exponential-fitted explicit methods. 3. Exponential-fitted implicit methods. 4. Some related research: Runge-Kutta-Nyström methods.
CD contents.
Topic Index.

Dummy View - NOT TO BE DELETED