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Modeling Anomalous Diffusion: From Statistics To Mathematics
Weihua DengRu HouWanli WangPengbo Xu
出版World Scientific, 2020-01-06
主題Mathematics / Numerical AnalysisScience / Physics / Mathematical & ComputationalMathematics / Probability & Statistics / Stochastic ProcessesMathematics / Applied
ISBN98112130119789811213014
URLhttp://books.google.com.hk/books?id=mMjPDwAAQBAJ&hl=&source=gbs_api
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註釋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.