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Titlebook: Dynamic Data Analysis; Modeling Data with D James Ramsay,Giles Hooker Book 2017 Springer Science+Business Media LLC 2017 functional data an

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发表于 2025-3-21 19:52:19 | 显示全部楼层 |阅读模式
书目名称Dynamic Data Analysis
副标题Modeling Data with D
编辑James Ramsay,Giles Hooker
视频video
概述Offers an accessible text to those with little or no exposure to differential equations as modeling objects.Updates and builds on techniques from the popular Functional Data Analysis (Ramsay and Silve
丛书名称Springer Series in Statistics
图书封面Titlebook: Dynamic Data Analysis; Modeling Data with D James Ramsay,Giles Hooker Book 2017 Springer Science+Business Media LLC 2017 functional data an
描述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. .
出版日期Book 2017
关键词functional data analysis; differential equations; dynamic models; linear differential equations; nonline
版次1
doihttps://doi.org/10.1007/978-1-4939-7190-9
isbn_softcover978-1-4939-8412-1
isbn_ebook978-1-4939-7190-9Series ISSN 0172-7397 Series E-ISSN 2197-568X
issn_series 0172-7397
copyrightSpringer Science+Business Media LLC 2017
The information of publication is updating

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发表于 2025-3-21 20:23:39 | 显示全部楼层
Differential Equations: Notation and Architecture,used in subsequent chapters. Classifications of differential equations include linear versus nonlinear, homogeneous (no external input) and non-homogeneous or forced (with external input), single equations versus systems of equations, and first order equations and higher order equations. The exposit
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Linear Differential Equations and Systems, is useful from a modelling perspective. Linear differential equations do a great deal of the heavy lifting in many fields of application, including, for example, chemical engineering, electrical circuit theory, financial analysis, kinesiology and pharmacology. Stationary linear differential equatio
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https://doi.org/10.1007/978-3-531-19761-6change on the output side. Six examples are taken up, which will reappear later in the book. Each of these examples involve data spread out over the interval of change that will be used later to estimate parameters defining the differential equation. The introduction of vaccination for smallpox in M
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Sarah Alexi,Friederike Heinzel,Uta Mariniused in subsequent chapters. Classifications of differential equations include linear versus nonlinear, homogeneous (no external input) and non-homogeneous or forced (with external input), single equations versus systems of equations, and first order equations and higher order equations. The exposit
发表于 2025-3-23 03:30:13 | 显示全部楼层
Sarah Alexi,Friederike Heinzel,Uta Marini is useful from a modelling perspective. Linear differential equations do a great deal of the heavy lifting in many fields of application, including, for example, chemical engineering, electrical circuit theory, financial analysis, kinesiology and pharmacology. Stationary linear differential equatio
发表于 2025-3-23 06:20:46 | 显示全部楼层
https://doi.org/10.1007/978-3-531-19761-6ations must be approximated numerically. This chapter reviews two classes of numerical methods: Euler and Runge–Kutta methods that solve equations forwards in time starting from an initial value, and collocation methods which approximate solutions using a basis expansion. The chapter also discusses
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