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Modelling with ordinary differential...

Borzì, Alfio,

Modelling with ordinary differential equations :a comprehensive approach /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Modelling with ordinary differential equations :Alfio Borzi.
其他題名:	a comprehensive approach /
作者:	Borzì, Alfio,
面頁冊數:	xv, 387 pages :illustrations (black and white) ;25 cm.
標題:	Differential equations.
ISBN:	9780815392613

Modelling with ordinary differential equations :a comprehensive approach /
Borzì, Alfio,

Modelling with ordinary differential equations :a comprehensive approach /Alfio Borzi. - xv, 387 pages :illustrations (black and white) ;25 cm. - Numerical analysis and scientific computing series. - Chapman & Hall/CRC numerical analysis and scientific computing..

Includes bibliographical references and index.

Elementary solution methods for simple ODEs -- Theory of ordinary differential calculation -- Systems of oridinary differentail equations -- Ordinary differential equations of order n -- Stability of ODE systems -- Boundary and eigenvalue problems -- Numerical solution of ODE problems -- ODEs and the calculus of variations -- Optimal control of ODE models -- Inverse problems with ODE models -- Differential games -- Stochastic differential equations -- Neural networks and ODE problems.

"Modelling with Ordinary Differential Equations: A Comprehensive Approach aims to provide a broad and self-contained introduction to the mathematical tools necessary to investigate and apply ODE models. The book starts by establishing the existence of solutions in various settings and analysing their stability properties. The next step is to illustrate modelling issues arising in the calculus of variation and optimal control theory that are of interest in many applications. This discussion is continued with an introduction to inverse problems governed by ODE models and to differential games. The book is completed with an illustration of stochastic differential equations and the development of neural networks to solve ODE systems. Many numerical methods are presented to solve the classes of problems discussed in this book. Features: Provides insight into rigorous mathematical issues concerning various topics, while discussing many different models of interest in different disciplines (biology, chemistry, economics, medicine, physics, social sciences, etc.) Suitable for undergraduate and graduate students and as an introduction for researchers in sciences and engineering Accompanied by MATLAB codes which allow the reader to apply the tools discussed in this book in those cases where analytical tools are not available"--

ISBN: 9780815392613GBP$100.00

LCCN: 2019060108Subjects--Topical Terms:

183925
Differential equations.

LC Class. No.: QA372 / .B6816 2020

Dewey Class. No.: 515/.352

Modelling with ordinary differential equations :a comprehensive approach /
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020 $z 9781351190367 $q electronic book
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100 1 $a Borzì, Alfio, $e author. $3 857163
245 1 0 $a Modelling with ordinary differential equations : $b a comprehensive approach / $c Alfio Borzi.
264 1 $a Boca Raton, FL : $b CRC Press, $c 2020.
264 4 $c ©2020
300 $a xv, 387 pages : $b illustrations (black and white) ; $c 25 cm.
336 $a text $b txt $2 rdacontent
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338 $a volume $b nc $2 rdacarrier
490 1 $a Numerical analysis and scientific computing series
504 $a Includes bibliographical references and index.
505 0 $a Elementary solution methods for simple ODEs -- Theory of ordinary differential calculation -- Systems of oridinary differentail equations -- Ordinary differential equations of order n -- Stability of ODE systems -- Boundary and eigenvalue problems -- Numerical solution of ODE problems -- ODEs and the calculus of variations -- Optimal control of ODE models -- Inverse problems with ODE models -- Differential games -- Stochastic differential equations -- Neural networks and ODE problems.
520 $a "Modelling with Ordinary Differential Equations: A Comprehensive Approach aims to provide a broad and self-contained introduction to the mathematical tools necessary to investigate and apply ODE models. The book starts by establishing the existence of solutions in various settings and analysing their stability properties. The next step is to illustrate modelling issues arising in the calculus of variation and optimal control theory that are of interest in many applications. This discussion is continued with an introduction to inverse problems governed by ODE models and to differential games. The book is completed with an illustration of stochastic differential equations and the development of neural networks to solve ODE systems. Many numerical methods are presented to solve the classes of problems discussed in this book. Features: Provides insight into rigorous mathematical issues concerning various topics, while discussing many different models of interest in different disciplines (biology, chemistry, economics, medicine, physics, social sciences, etc.) Suitable for undergraduate and graduate students and as an introduction for researchers in sciences and engineering Accompanied by MATLAB codes which allow the reader to apply the tools discussed in this book in those cases where analytical tools are not available"-- $c Provided by publisher.
650 0 $a Differential equations. $3 183925
650 0 $a Mathematical models. $3 182479
776 0 8 $i ebook version : $z 9781351190374
830 0 $a Chapman & Hall/CRC numerical analysis and scientific computing. $3 574770
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