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Spectral Methods in Chemistry and Physics Applications to Kinetic Theory and Quantum Mechanics /
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 t...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Dordrecht :
Springer Netherlands : Imprint: Springer,
2015.
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| Edición: | 1st ed. 2015. |
| Colección: | Scientific Computation,
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| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 001 | 978-94-017-9454-1 | ||
| 003 | DE-He213 | ||
| 005 | 20220120115352.0 | ||
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| 008 | 150107s2015 ne | s |||| 0|eng d | ||
| 020 | |a 9789401794541 |9 978-94-017-9454-1 | ||
| 024 | 7 | |a 10.1007/978-94-017-9454-1 |2 doi | |
| 050 | 4 | |a QC19.2-20.85 | |
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| 100 | 1 | |a Shizgal, Bernard. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Spectral Methods in Chemistry and Physics |h [electronic resource] : |b Applications to Kinetic Theory and Quantum Mechanics / |c by Bernard Shizgal. |
| 250 | |a 1st ed. 2015. | ||
| 264 | 1 | |a Dordrecht : |b Springer Netherlands : |b Imprint: Springer, |c 2015. | |
| 300 | |a XVII, 415 p. 102 illus., 2 illus. in color. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Scientific Computation, |x 2198-2589 | |
| 505 | 0 | |a Preface -- 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 | |a 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 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 | |a Mathematical physics. | |
| 650 | 0 | |a Physical chemistry. | |
| 650 | 0 | |a Chemometrics. | |
| 650 | 0 | |a Quantum physics. | |
| 650 | 1 | 4 | |a Theoretical, Mathematical and Computational Physics. |
| 650 | 2 | 4 | |a Physical Chemistry. |
| 650 | 2 | 4 | |a Mathematical Applications in Chemistry. |
| 650 | 2 | 4 | |a Quantum Physics. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9789401794534 |
| 776 | 0 | 8 | |i Printed edition: |z 9789401794558 |
| 776 | 0 | 8 | |i Printed edition: |z 9789401776943 |
| 830 | 0 | |a Scientific Computation, |x 2198-2589 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-94-017-9454-1 |z Texto Completo |
| 912 | |a ZDB-2-PHA | ||
| 912 | |a ZDB-2-SXP | ||
| 950 | |a Physics and Astronomy (SpringerNature-11651) | ||
| 950 | |a Physics and Astronomy (R0) (SpringerNature-43715) | ||