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Könyv Spectral Methods in Chemistry and Physics Bernard Shizgal

Spectral Methods in Chemistry and Physics

Applications to Kinetic Theory and Quantum Mechanics

Szerző: Bernard Shizgal
Nyelv: Angol
Kötés: Kemény kötésű
Kiadó: Springer
Elérhetőség: Beszállítói készleten
Küldés 10-13 napon belül
39 428 Ft
This book covers the fundamentals of spectral and pseudospectral methods in Chemistry and Physics wi...

Információk a könyvről

Szerző
Bernard Shizgal
Nyelv
Angol
Kötés
Könyv - Kemény kötésű
Kiadva
2015
oldal
415
EAN
9789401794534
ISBN
9401794537
Enbook ID
05171595
Kiadó
Springer
Súly
750
Méretek
164 x 249 x 21

Teljes leírás

This book covers the fundamentals of spectral and pseudospectral methods in Chemistry and Physics with applications to kinetic theory and quantum mechanics.§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 Schrödinger 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.§A large bibliography to current research is provided.§§The book is suitable for upper undergraduate and graduate students, as well as for senior researchers.§

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