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.
This book presents different ideas from the traditional yin yang theory relating to time, space, elements, weather, location, position, direction, amount, size, quality, property, touching, smelling, taste, sound, color, mutual-relationship, ratio, opening, closing, transfer, functions, and human body. This book provides many new thoughts and ideas to help people think of different ways to see nature and health conditions. All the information is based on truth revealed by Mother Nature and discovered truth from nature chaos condition and situation. The purpose of the book is to build up correct and solid theory foundation of Chinese Herbal Remedies. It will benefit the health practitioner and anyone who wants to understand more about the Mother Nature activities.
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.
The dynamic mechanism of plate tectonics remains a reasonable theory, but one with shortcomings such as insufficient bases for plate division, unclear plate boundaries, and unclear geological characteristics. This book proposes that the world's continents should not be divided by plates, and that their formation is not due to plate tectonics but rather due to global crustal uplift evolution and sea-land evolution. This proposal is based on the authors' broad theoretical foundation and comprehensive professional knowledge, built up over more than ten years of in-depth research by many scholars on the evolution of the Earth's continents.In this book, many case studies are better explained by global crustal uplift and sea-land evolution. Namely, that the entire continents of the world are indivisible, and the changes of each land block over geological periods resulted from the sea-land changes.The book further develops the original 'geomechanics theory' created by the famous geologist Li Siguang. As a vibrant and highly rigorous work, Prof Li's book offered important theoretical guidance that enriched the global geological community and led to a re-development within geological science. The strong response highlights the significance of geomechanics theory and our theories that build upon it in this book.
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