Numerical Data Fitting in Dynamical Systems : A Practical Introduction with Applications and Software

Language: English

Published by Humana, 2002

1402010796 / 9781402010798

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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nach der Bestellung gedruckt Neuware - Printed after ordering - Real life phenomena in engineering, natural, or medical sciences are often described by a mathematical model with the goal to analyze numerically the behaviour of the system. Advantages of mathematical models are their cheap availability, the possibility of studying extreme situations that cannot be handled by experiments, or of simulating real systems during the design phase before constructing a first prototype. Moreover, they serve to verify decisions, to avoid expensive and time consuming experimental tests, to analyze, understand, and explain the behaviour of systems, or to optimize design and production. As soon as a mathematical model contains differential dependencies from an additional parameter, typically the time, we call it a dynamical model. There are two key questions always arising in a practical environment: 1 Is the mathematical model correct 2 How can I quantify model parameters that cannot be measured directly In principle, both questions are easily answered as soon as some experimental data are available. The idea is to compare measured data with predicted model function values and to minimize the differences over the whole parameter space. We have to reject a model if we are unable to find a reasonably accurate fit. To summarize, parameter estimation or data fitting, respectively, is extremely important in all practical situations, where a mathematical model and corresponding experimental data are available to describe the behaviour of a dynamical system.…

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Title
Numerical Data Fitting in Dynamical Systems : A Practical Introduction with Applications and Software
Author
Klaus Schittkowski
Publisher
Humana
Publication year
2002
Condition
Neu
Binding
Buch
Language
English
ISBN 10
1402010796
ISBN 13
9781402010798
Item weight
781 grams
Dimensions
241x160x27 mm

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