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Numerical data fitting in dynamical systems. A practical introduction with applications and software. With CD-ROM. (English) Zbl 1018.65077
Applied Optimization. 77. Dordrecht: Kluwer Academic Publishers. xii, 392 p. EUR 148.00; $ 145.00; £90.00 (2002).
The book is the outcome of the research activities of the author in the area of numerical methods for optimization problems that are needed to compute parameters of a dynamical model by a least square fit. The mathematical configurations that must be provided by the system analyst are defined by ordinary differential equations, differential algebraic equations, or one-dimensional partial differential equations which we can meet in real life phenomena, as in engineering, natural or medical sciences.
The mathematical models and data fitting calculations are illustrated by case studies from pharmaceutics, mechanical, electrical, chemical engineering and ecology.
The book contains a CD with numerical algorithms presented in the book giving to the reader the opportunity to make applications with algorithms, data, and solution tolerances of the program that run under Windows 95/98/NT4.0/2000.

MSC:
65K05 Numerical mathematical programming methods
65-02 Research exposition (monographs, survey articles) pertaining to numerical analysis
90C30 Nonlinear programming
65L05 Numerical methods for initial value problems
65D25 Numerical differentiation
90-02 Research exposition (monographs, survey articles) pertaining to operations research and mathematical programming
65L80 Numerical methods for differential-algebraic equations
65M20 Method of lines for initial value and initial-boundary value problems involving PDEs
65D10 Numerical smoothing, curve fitting
Software:
Schittkowski
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