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Modeling Anomalous Diffusion: From Statistics To Mathematics

2020-01-06 Mathematics
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Release : 2020-01-06
Genre : Mathematics
Kind : eBook
Book Rating : 011/5 ( reviews)

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Book Synopsis Modeling Anomalous Diffusion: From Statistics To Mathematics by : Weihua Deng

Download or read book Modeling Anomalous Diffusion: From Statistics To Mathematics written by Weihua Deng. This book was released on 2020-01-06. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on modeling the anomalous diffusion phenomena, being ubiquitous in the natural world. Both the microscopic models (stochastic processes) and macroscopic models (partial differential equations) have been built up. The relationships between the two kinds of models are clarified, and based on these models, some statistical observables are analyzed. From statistics to mathematics, the built models show their power with their associated applications.This book is important for students to develop basic skills to be able to succeed in their future research. In addition to introducing the related models or methods, it also provides the corresponding applications and simulation results, which will attract more readers ranging from mathematicians to physicists or chemists, to name a few.

Modeling Anomalous Diffusion

2020 Differential equations, Partial
Download Modeling Anomalous Diffusion PDF Online Free

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Release : 2020
Genre : Differential equations, Partial
Kind : eBook
Book Rating : 007/5 ( reviews)

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Book Synopsis Modeling Anomalous Diffusion by : Weihua Deng

Download or read book Modeling Anomalous Diffusion written by Weihua Deng. This book was released on 2020. Available in PDF, EPUB and Kindle. Book excerpt: "One of the authors, Weihua Deng, has an interdisciplinary research background with a deep understanding on the related anomalous models from the viewpoint of mathematics and physics In this book, we not only introduce the widely investigated models but also discuss some new topics, for example, infinite densities, functionals, etc. This book will get more attention from undergraduates and some high-level students"--

High Accuracy Algorithm For The Differential Equations Governing Anomalous Diffusion: Algorithm And Models For Anomalous Diffusion

2019-01-22 Mathematics
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Release : 2019-01-22
Genre : Mathematics
Kind : eBook
Book Rating : 227/5 ( reviews)

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Book Synopsis High Accuracy Algorithm For The Differential Equations Governing Anomalous Diffusion: Algorithm And Models For Anomalous Diffusion by : Weihua Deng

Download or read book High Accuracy Algorithm For The Differential Equations Governing Anomalous Diffusion: Algorithm And Models For Anomalous Diffusion written by Weihua Deng. This book was released on 2019-01-22. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Anomalous Diffusion

1999-01-21 Medical
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Release : 1999-01-21
Genre : Medical
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Anomalous Diffusion by : Andrzej Pekalski

Download or read book Anomalous Diffusion written by Andrzej Pekalski. This book was released on 1999-01-21. Available in PDF, EPUB and Kindle. Book excerpt: This collection of articles gives a nice overview of the fast growing field of diffusion and transport. The area of non-Browman statistical mechanics has many extensions into other fields like biology, ecology, geophysics etc. These tutorial lectures address e.g. Lévy flights and walks, diffusion on metal surfaces or in superconductors, classical diffusion, biased and anomalous diffusion, chemical reaction diffusion, aging in glassy systems, diffusion in soft matter and in nonsymmetric potentials, and also new problems like diffusive processes in econophysics and in biology.

Fractional Diffusion Equations and Anomalous Diffusion

2018-01-25 Mathematics
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Release : 2018-01-25
Genre : Mathematics
Kind : eBook
Book Rating : 551/5 ( reviews)

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Book Synopsis Fractional Diffusion Equations and Anomalous Diffusion by : Luiz Roberto Evangelista

Download or read book Fractional Diffusion Equations and Anomalous Diffusion written by Luiz Roberto Evangelista. This book was released on 2018-01-25. Available in PDF, EPUB and Kindle. Book excerpt: Presents a unified treatment of anomalous diffusion problems using fractional calculus in a wide range of applications across scientific and technological disciplines.

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