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Mathematics plays an important role in many scientific and
engineering disciplines. This book deals with the numerical
solution of differential equations, a very important branch of
mathematics. Our aim is to give a practical and theoretical account
of how to solve a large variety of differential equations,
comprising ordinary differential equations, initial value problems
and boundary value problems, differential algebraic equations,
partial differential equations and delay differential equations.
The solution of differential equations using R is the main focus of
this book. It is therefore intended for the practitioner, the
student and the scientist, who wants to know how to use R for
solving differential equations. However, it has been our goal that
non-mathematicians should at least understand the basics of the
methods, while obtaining entrance into the relevant literature that
provides more mathematical background. Therefore, each chapter that
deals with R examples is preceded by a chapter where the theory
behind the numerical methods being used is introduced. In the
sections that deal with the use of R for solving differential
equations, we have taken examples from a variety of disciplines,
including biology, chemistry, physics, pharmacokinetics. Many
examples are well-known test examples, used frequently in the field
of numerical analysis.
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