| Titre : | Numerical Data Fitting in Dynamical Systems : a practical introduction with applications and software | | Type de document : | texte imprimé | | Auteurs : | Klaus Schittkowski, Auteur | | Editeur : | Boston, Dordrecht, London : Kluwer Academic Publishers | | Année de publication : | 2002 | | Importance : | 392 p. | | Présentation : | couv. ill. en coul., ill. | | Format : | 24,5 cm. | | Accompagnement : | CD-ROM | | ISBN/ISSN/EAN : | 978-1-402-01079-8 | | Langues : | Anglais (eng) | | Mots-clés : | Algebra Fitting Hardware Mathematica dynamical systems linear optimization model nonlinear optimization numerical methods optimization ordinary differential equation partial differential equation programming statistics | | Index. décimale : | 25-06 Identification et simulation des processus | | Résumé : | The main objective of the book is to give an overview of numerical methods to compute parameters of a dynamical model by a least squares fit of experimental data. The mathematical equations under consideration are explicit model functions or steady state systems in the simplest case, or responses of dynamical systems defined by ordinary differential equations, differential algebraic equations, partial differential equations, and partial differential algebraic equations (1D). Many different mathematical disciplines must be combined to find a solution, for example nonlinear programming, least squares optimization, systems of nonlinear equations, ordinary differential equations, discretization of partial differential equations, sensitivity analysis, automatic differentiation, and statistics. | | Note de contenu : | Contents
1-Introduction
2-Mathematical Foundations
3-Data Fitting Models
4-Data Fitting Models
5-Numerical Experiments
6-Case Studies
-Appendix
-Index |
Numerical Data Fitting in Dynamical Systems : a practical introduction with applications and software [texte imprimé] / Klaus Schittkowski, Auteur . - Boston, Dordrecht, London : Kluwer Academic Publishers, 2002 . - 392 p. : couv. ill. en coul., ill. ; 24,5 cm. + CD-ROM. ISBN : 978-1-402-01079-8 Langues : Anglais ( eng) | Mots-clés : | Algebra Fitting Hardware Mathematica dynamical systems linear optimization model nonlinear optimization numerical methods optimization ordinary differential equation partial differential equation programming statistics | | Index. décimale : | 25-06 Identification et simulation des processus | | Résumé : | The main objective of the book is to give an overview of numerical methods to compute parameters of a dynamical model by a least squares fit of experimental data. The mathematical equations under consideration are explicit model functions or steady state systems in the simplest case, or responses of dynamical systems defined by ordinary differential equations, differential algebraic equations, partial differential equations, and partial differential algebraic equations (1D). Many different mathematical disciplines must be combined to find a solution, for example nonlinear programming, least squares optimization, systems of nonlinear equations, ordinary differential equations, discretization of partial differential equations, sensitivity analysis, automatic differentiation, and statistics. | | Note de contenu : | Contents
1-Introduction
2-Mathematical Foundations
3-Data Fitting Models
4-Data Fitting Models
5-Numerical Experiments
6-Case Studies
-Appendix
-Index |
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