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Modelling with Ordinary Differential Equations: A Comprehensive Approach
Modelling with Ordinary Differential Equations: A Comprehensive Approach
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The book "Modelling with Ordinary Differential Equations: A Comprehensive Approach" provides a comprehensive introduction to the mathematical tools necessary to investigate and apply ODE models. It discusses the existence of solutions, stability properties, calculus of variation, optimal control theory, inverse problems, differential games, stochastic differential equations, and neural networks. It is suitable for undergraduate and graduate students and researchers in engineering and the sciences, with accompanying codes for numerical methods.
Format: Paperback / softback
Length: 404 pages
Publication date: 13 June 2022
Publisher: Taylor & Francis Ltd
Modelling with Ordinary Differential Equations: A Comprehensive Approach is a comprehensive guide that aims to provide a thorough and self-contained introduction to the mathematical tools essential for investigating and applying Ordinary Differential Equation (ODE) models. The book begins by establishing the existence of solutions in various settings and analyzing their stability properties. It then proceeds to illustrate modelling issues arising in calculus of variation and optimal control theory, which are of interest in numerous applications. This discussion is further extended with an introduction to inverse problems governed by ODE models and differential games.
The book concludes with an illustration of stochastic differential equations and the development of neural networks to solve ODE systems. Numerous numerical methods are presented to solve the classes of problems discussed in this book.
Key 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 engineering and the sciences.
Accompanied by codes that allow the reader to apply the numerical methods discussed in this book in those cases where analytical solutions are not available.
By providing a comprehensive and accessible introduction to the mathematical tools required for modelling with ODEs, this book serves as a valuable resource for students, researchers, and practitioners in a wide range of fields.
Weight: 750g
Dimension: 234 x 156 (mm)
ISBN-13: 9781032336671
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