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Applied Optimization

Numerical Data Fitting in Dynamical Systems

A Practical Introduction with Applications and Software

Authors: Schittkowski, Klaus

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  • ISBN 978-1-4419-5762-7
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Hardcover $329.00
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  • ISBN 978-1-4020-1079-8
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Softcover $329.00
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  • ISBN 978-1-4757-6050-7
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About this book

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.

Table of contents (5 chapters)

Buy this book

eBook $259.00
price for USA (gross)
  • ISBN 978-1-4419-5762-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $329.00
price for USA
  • ISBN 978-1-4020-1079-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $329.00
price for USA
  • ISBN 978-1-4757-6050-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Numerical Data Fitting in Dynamical Systems
Book Subtitle
A Practical Introduction with Applications and Software
Authors
Series Title
Applied Optimization
Series Volume
77
Copyright
2002
Publisher
Springer US
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-1-4419-5762-7
DOI
10.1007/978-1-4419-5762-7
Hardcover ISBN
978-1-4020-1079-8
Softcover ISBN
978-1-4757-6050-7
Series ISSN
1384-6485
Edition Number
1
Number of Pages
XII, 396
Number of Illustrations and Tables
42 b/w illustrations
Topics