Overview
- Lays down a new method of solving inverse problems equations with weaker requirements than existing methods
- Reinforces basic principles and demonstrates methodical efficiency using non-trivial applied examples
- Relevant to many applications from bioinformatics through aerodynamics to financial mathematics
- Includes supplementary material: sn.pub/extras
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Table of contents (9 chapters)
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Front Matter
Keywords
About this book
Dynamic Systems Models demonstrates the use of algorithms based on polynomial approximation which have weaker requirements than already-popular iterative methods. Specifically, they do not require a first approximation of a root vector and they allow non-differentiable elements in the vector functions being approximated.
The text covers all the points necessary for the understanding and use of polynomial approximation from the mathematical fundamentals, through algorithm development to the application of the method in, for instance, aeroplane flight dynamics or biological sequence analysis. The technical material is illustrated by the use of worked examples and methods for training the algorithms are included.
Dynamic Systems Models provides researchers in aerospatial engineering, bioinformatics and financial mathematics (as well as computer scientists interested in any of these fields) with a reliable and effective numerical method for nonlinear estimation and solving boundary problems when carrying out control design. It will also be of interest to academic researchers studying inverse problems and their solution.
Authors, Editors and Affiliations
Bibliographic Information
Book Title: Dynamic Systems Models
Book Subtitle: New Methods of Parameter and State Estimation
Authors: Josif A. Boguslavskiy
Editors: Mark Borodovsky
DOI: https://doi.org/10.1007/978-3-319-04036-3
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-04035-6Published: 30 March 2016
Softcover ISBN: 978-3-319-79141-8Published: 19 April 2018
eBook ISBN: 978-3-319-04036-3Published: 22 March 2016
Edition Number: 1
Number of Pages: XX, 201
Topics: Applications of Nonlinear Dynamics and Chaos Theory, Mathematical Modeling and Industrial Mathematics, Aerospace Technology and Astronautics, Signal, Image and Speech Processing, Quantitative Finance