This book gives an overview of affine diffusions, from
Ornstein-Uhlenbeck processes to Wishart processes and it considers some
related diffusions such as Wright-Fisher processes. It focuses on
different simulation schemes for these processes, especially
second-order schemes for the weak error. It also presents some models,
mostly in the field of finance, where these methods are relevant and
provides some numerical experiments.
The book explains the mathematical background to understand affine
diffusions and analyze the accuracy of the schemes.