000			04151nam a22005295i 4500
001			978-94-017-9454-1
003			DE-He213
005			20160615101828.0
007			cr nn 008mamaa
008			150107s2015 ne | s |||| 0|eng d
020			_a9789401794541 _9978-94-017-9454-1
024	7		_a10.1007/978-94-017-9454-1 _2doi
049			_aAlfaisal Main Library
050		4	_aQC19.2-20.85
072		7	_aPHU _2bicssc
072		7	_aSCI040000 _2bisacsh
082	0	4	_a530.1 _223
100	1		_aShizgal, Bernard. _eauthor.
245	1	0	_aSpectral Methods in Chemistry and Physics _h[electronic resource] : _bApplications to Kinetic Theory and Quantum Mechanics / _cby Bernard Shizgal.
264		1	_aDordrecht : _bSpringer Netherlands : _bImprint: Springer, _c2015.
300			_aXVII, 415 p. 102 illus., 2 illus. in color. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aScientific Computation, _x1434-8322
505	0		_aPreface -- Introduction to Spectral/Pseudospectral Methods -- Polynomial Basis functions and Quadratures.- Numerical Evaluation of Integrals and Derivatives -- Representation of Functions in Basis Sets -- Integral Equations in the Kinetic Theory of Gases and Related Topics -- Spectral and Pseudospectral Methods of Solution of the Fokker-Planck and Schrödinger Equations -- Index.
520			_aThis 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. 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.
650		0	_aPhysics.
650		0	_aChemometrics.
650		0	_aPhysical chemistry.
650		0	_aQuantum physics.
650	1	4	_aPhysics.
650	2	4	_aTheoretical, Mathematical and Computational Physics.
650	2	4	_aPhysical Chemistry.
650	2	4	_aMath. Applications in Chemistry.
650	2	4	_aQuantum Physics.
655		7	_aElectronic books. _2local
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9789401794534
830		0	_aScientific Computation, _x1434-8322
856	4	0	_uhttp://ezproxy.alfaisal.edu/login?url=http://dx.doi.org/10.1007/978-94-017-9454-1
912			_aZDB-2-PHA
942			_2lcc _cEBOOKS
999			_c267875 _d267875