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Modelling with Ordinary Differential Equations - A Comprehensive Approach (Paperback)
Loot Price: R1,479
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Modelling with Ordinary Differential Equations - A Comprehensive Approach (Paperback)
Series: Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series
Expected to ship within 12 - 17 working days
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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
engineering and the sciences Accompanied by codes which allow the
reader to apply the numerical methods discussed in this book in
those cases where analytical solutions are not available
General
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