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Modeling and Computational Methods for Kinetic Equations (Hardcover, 2004 ed.)
Loot Price: R3,188
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Modeling and Computational Methods for Kinetic Equations (Hardcover, 2004 ed.)
Series: Modeling and Simulation in Science, Engineering and Technology
Expected to ship within 10 - 15 working days
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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
media m
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