Dynamic Data Analysis Modeling Data with Differential Equations /

• Main Authors: Ramsay, James (Author), Hooker, Giles (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2017.
• Series: Springer Series in Statistics,
• Subjects: Statistics.; Big data.; Functional analysis.; Applied mathematics.; Engineering mathematics.; Statistical Theory and Methods.; Applications of Mathematics.; Big Data/Analytics.; Functional Analysis.

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...

Table of Contents:

• 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.