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Spectral Methods in Chemistry and Physics: Applications to Kinetic Theory and Quantum Mechanics by Bernard Shizgal (Hardcover, 2015)

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Product Information

This book is a pedagogical presentation of the application of spectral and pseudospectral methods to kinetic theory and quantum mechanics. There are additional applications to astrophysics, engineering, biology and many other fields. The main objective of this book is to provide the basic concepts to enable the use of spectral and pseudospectral methods to solve problems in diverse fields of interest and to a wide audience. While spectral methods are generally based on Fourier Series or Chebychev polynomials, non-classical polynomials and associated quadratures are used for many of the applications presented in the book. Fourier series methods are summarized with a discussion of the resolution of the Gibbs phenomenon. Classical and non-classical quadratures are used for the evaluation of integrals in reaction dynamics including nuclear fusion, radial integrals in density functional theory, in elastic scattering theory and other applications. The subject matter includes the calculation of transport coefficients in gases and other gas dynamical problems based on spectral and pseudospectral solutions of the Boltzmann equation. Radiative transfer in astrophysics and atmospheric science, and applications to space physics are discussed. The relaxation of initial non-equilibrium distributions to equilibrium for several different systems is studied with the Boltzmann and Fokker-Planck equations. The eigenvalue spectra of the linear operators in the Boltzmann, Fokker-Planck and Schroedinger equations are studied with spectral and pseudospectral methods based on non-classical orthogonal polynomials. The numerical methods referred to as the Discrete Ordinate Method, Differential Quadrature, the Quadrature Discretization Method, the Discrete Variable Representation, the Lagrange Mesh Method, and others are discussed and compared. MATLAB codes are provided for most of the numerical results reported in the book - see Link under 'Additional Information' on the the right-hand column.

Product Identifiers

Publisher
Springer
ISBN-13
9789401794534
eBay Product ID (ePID)
208794142

Product Key Features

Author
Bernard Shizgal
Publication Name
Spectral Methods in Chemistry and Physics: Applications to Kinetic Theory and Quantum Mechanics
Format
Hardcover
Language
English
Subject
Chemistry, Mathematics, Physics
Publication Year
2015
Type
Textbook
Number of Pages
415 Pages

Dimensions

Item Height
235mm
Item Width
155mm
Item Weight
8535g

Additional Product Features

Title_Author
Bernard Shizgal
Series Title
Scientific Computation
Country/Region of Manufacture
Netherlands

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Spectral Methods in Chemistry and Physics: Applications to Kinetic Theory and Quantum Mechanics by Bernard Shizgal (Hardcover, 2015)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

Best Selling in Adult Learning & University

Australian Guidebook for Structural Engineers by Lonnie Pack (Paperback, 2019)

Eduqas GCSE (9-1) Religious Studies Route B: Catholic Christianity and Judaism by Deirdre Cleary, Andrew Barron, Joy White, Patrick Harrison (Paperback, 2017)

The Ethnic Cleansing of Palestine by Ilan Pappe (Paperback, 2007)

Save on Adult Learning & University

The Australian Native Bee Hive Book: Keeping Stingless Sugarbag OATH Tim Heard

Weed Forager's Handbook: A Guide to Edible and Medicinal Weeds in Australia by A

Netter Atlas of Human Anatomy: Classic Regional Approach

The Indoctrinated Brain: How to Successfully Fend Off the Global Attack on Your

Tuning the A-Series Engine: the Definitive Manual on tuning for Performance or E

George Hrabovsky Leonard Susskind Classical Mechanics (Paperback)

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