000			02444nam a2200277Ia 4500
003			OSt
005			20250902115527.0
008			220909b |||||||| |||| 00| 0 eng d
020			_a9789401794534
037			_cTextual
040			_aCSL _beng _cCSL
041			_aeng
084			_aCN1 Q5 _qCSL
100			_aShizgal, Bernard _eauthor _9819711
245		0	_aSpectral methods in chemistry and physics
260			_aNew York : _bSpringer _c2015
300			_axvii, 415p. ill.
500			_aIndex 411-415p.
520			_ahis 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 Schrödinger equations are studied with spectral and pseudospectral methods based on non-classical orthogonal polynomials.
650			_a Derivatives _9819712
650			_a Integrals _9819713
650			_a Pseudospectral methods _9819714
650			_aPolynomial basic _9819715
942			_hCN1 Q5 _cTEXL _2CC _n0
999			_c14677 _d14677