Verkauf durch Sack Fachmedien

Hooker / Ramsay

Dynamic Data Analysis

Modeling Data with Differential Equations

Medium: Buch
ISBN: 978-1-4939-7188-6
Verlag: Springer
Erscheinungstermin: 28.06.2017
Lieferfrist: bis zu 10 Tage

This text focuses on the use of smoothing methods for developing and estimating differential equations following recent developments in functional data analysis and building on techniques described in Ramsay and Silverman (2005) Functional Data Analysis. The central concept of a dynamical system as a buffer that translates sudden changes in input into smooth controlled output responses has led to applications of previously analyzed data, opening up entirely new opportunities for dynamical systems. The technical level has been kept low so that those with little or no exposure to differential equations as modeling objects can be brought into this data analysis landscape. There are already many texts on the mathematical properties of ordinary differential equations, or dynamic models, and there is a large literature distributed over many fields on models for real world processes consisting of differential equations. However, a researcher interested in fitting such a model to data, or a statistician interested in the properties of differential equations estimated from data will find rather less to work with. This book fills that gap.


Produkteigenschaften


  • Artikelnummer: 9781493971886
  • Medium: Buch
  • ISBN: 978-1-4939-7188-6
  • Verlag: Springer
  • Erscheinungstermin: 28.06.2017
  • Sprache(n): Englisch
  • Auflage: 1. Auflage 2017
  • Serie: Springer Series in Statistics
  • Produktform: Gebunden
  • Gewicht: 541 g
  • Seiten: 230
  • Format (B x H x T): 160 x 241 x 20 mm
  • Ausgabetyp: Kein, Unbekannt
Autoren/Hrsg.

Autoren

1 Introduction to Dynamic Models.- 2 DE notation and types.- 3 Linear Differential Equations and Systems.- 4 Nonlinear Differential Equations.- 5 Numerical Solutions.- 6 Qualitative Behavior.- 7 Trajectory Matching.- 8 Gradient Matching.- 9 Profiling for Linear Systems.- 10 Nonlinear Profiling.- References.- Glossary.- Index.