(Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series) 1st Edition
by Alfio Borzì (Author)
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
