书目名称 | Modeling and Computational Methods for Kinetic Equations | 编辑 | Pierre Degond,Lorenzo Pareschi,Giovanni Russo | 视频video | | 概述 | Self-contained presentation of such recently developed aspects of kinetic theory.Emphasizing modeling techniques and numerical methods.Provides a unified treatment of kinetic equations | 丛书名称 | Modeling and Simulation in Science, Engineering and Technology | 图书封面 |  | 描述 | .In recent years kinetic theory has developed in many areas of the physical sciences and engineering, and has extended the borders of its traditional fields of application. New applications in traffic flow engineering, granular media modeling, and polymer and phase transition physics have resulted in new numerical algorithms which depart from traditional stochastic Monte--Carlo methods....This monograph is a self-contained presentation of such recently developed aspects of kinetic theory, as well as a comprehensive account of the fundamentals of the theory. Emphasizing modeling techniques and numerical methods, the book provides a unified treatment of kinetic equations not found in more focused theoretical or applied works....The book is divided into two parts. Part I is devoted to the most fundamental kinetic model: the Boltzmann equation of rarefied gas dynamics. Additionally, widely used numerical methods for the discretization of the Boltzmann equation are reviewed: the Monte--Carlo method, spectral methods, and finite-difference methods. Part II considers specific applications: plasma kinetic modeling using the Landau--Fokker--Planck equations, traffic flow modeling, granular | 出版日期 | Book 2004 | 关键词 | Approximation; algorithm; algorithms; mathematical physics; modeling; numerical methods; numerics; operator | 版次 | 1 | doi | https://doi.org/10.1007/978-0-8176-8200-2 | isbn_softcover | 978-1-4612-6487-3 | isbn_ebook | 978-0-8176-8200-2Series ISSN 2164-3679 Series E-ISSN 2164-3725 | issn_series | 2164-3679 | copyright | Birkhäuser Boston 2004 |
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