Spectral Methods in Chemistry and Physics: Applications to Kinetic Theory and Quantum Mechanics (Scientific Computation)
| Author | : | |
| Rating | : | 4.16 (952 Votes) |
| Asin | : | 9401794537 |
| Format Type | : | paperback |
| Number of Pages | : | 415 Pages |
| Publish Date | : | 2016-08-14 |
| Language | : | English |
DESCRIPTION:
recommend to colleagues This is a masterful book. Eigenvalue methods have been a backbone of applied mathematics for a very long time. In this book Shizgal simultaneously honors the past - with superb treatments of classical topics -- and looks towards the future showing how spectral methods are important and relevant in many branches of science. This is the kind of book that one will
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.. 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. There are additional applications to astrophysics, engineering, biology and many other fields. Fourier series methods are summarized with a discussion of the resolution of the Gibbs phenomenon. Classical and non-classical