Numerical Particle-in-Cell Methods: Theory and Applications Yu.N. Grigoryev

ISBN: 9789067643689

Published: July 26th 2002

Hardcover

249 pages


Description

Numerical Particle-in-Cell Methods: Theory and Applications  by  Yu.N. Grigoryev

Numerical Particle-in-Cell Methods: Theory and Applications by Yu.N. Grigoryev
July 26th 2002 | Hardcover | PDF, EPUB, FB2, DjVu, audiobook, mp3, ZIP | 249 pages | ISBN: 9789067643689 | 3.42 Mb

Algorithms known as particle methods, whose characteristic feature is the discretization technique when the set of discrete objects is introduced, which are model particles considered as some mesh of moving nodes, are becoming more and moreMoreAlgorithms known as particle methods, whose characteristic feature is the discretization technique when the set of discrete objects is introduced, which are model particles considered as some mesh of moving nodes, are becoming more and more widespread in mathematical modelling.

Until recently, particle methods have mainly been developed as an alternative to classical numerical methods for solving problems in some applied domains of physics and mathematics. As a result, no specialized monographs on this subject have been available.The aim of this book is to fill the gap in literature on this subject of numerical methodes and deals with combined Lagrangian-Eulerian schemes of the particle-in-cell type, the most widespread among particle methods.

The authors describe a universal approach to the construction of such algorithms. The approach is based on splitting the initial problem by which the auxiliary problem with a hyperbolic (divergent) operator is separated. After special discretization of the solution, such a splitting naturally leads to the well-known schemes of particle-in-cell methods. Examples of calculations in this book give the reader an idea of the capabilities of particle-in-cell methods, their requirements to computers, and the degree of precision that can be achieved.This book is primarily intended for specialists in calculations, who want to get a general idea of numerical particle-in-cell methods and the sphere of their applications.

As a methodological guide, it will be of interest to undergraduate and postgraduate students, mathematicians and physicists specializing in mathematical modelling.



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