The aim of this book is to extend the application field of 'anomalous diffusion', and describe the newly built models and
the simulation techniques to the models.The book first introduces 'anomalous diffusion' from the statistical physics point
of view, then discusses the models characterizing anomalous diffusion and its applications, including the Fokker-Planck equation,
the Feymann-Kac equations describing the functional distribution of the anomalous trajectories of the particles, and also
the microscopic model - Langevin type equation. The second main part focuses on providing the high accuracy schemes for these
kinds of models, and the corresponding convergence and stability analysis.