| High Accuracy Algorithm for the Differential Equations Governing Anomalous Diffusion: Algorithm and Models for Anomalous Diffusion Contributor(s): Deng, Weihua (Author), Zhang, Zhijiang (Author) |
|
 |
ISBN: 9813142200 ISBN-13: 9789813142206 Publisher: World Scientific Publishing Company OUR PRICE: $112.10 Product Type: Hardcover Published: February 2019 |
| Additional Information |
| BISAC Categories: - Mathematics | Numerical Analysis - Mathematics | Differential Equations - Partial - Mathematics | Linear & Nonlinear Programming |
| Physical Information: 0.69" H x 6" W x 9" (1.24 lbs) 296 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |