Spectral Methods in Chemistry and Physics: Applications to Kinetic Theory and Quantum Mechanics
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht [u.a.]
Springer
2015
|
| Schriftenreihe: | Scientific Computation
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| Schlagworte: | |
| Online-Zugang: | TUM01 UBT01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource (XVII, 415 p. 102 illus., 2 illus. in color) |
| ISBN: | 9789401794541 |
| ISSN: | 1434-8322 |
| DOI: | 10.1007/978-94-017-9454-1 |
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Datensatz im Suchindex
| _version_ | 1804152928622084096 |
|---|---|
| adam_text | SPECTRAL METHODS IN CHEMISTRY AND PHYSICS
/ SHIZGAL, BERNARD
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
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
SCHROEDINGER EQUATIONS
INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
SPECTRAL METHODS IN CHEMISTRY AND PHYSICS
/ SHIZGAL, BERNARD
: 2015
ABSTRACT / INHALTSTEXT
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 SCHROEDINGER
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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| discipline | Physik Mathematik |
| doi_str_mv | 10.1007/978-94-017-9454-1 |
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| indexdate | 2024-07-10T01:18:30Z |
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| isbn | 9789401794541 |
| issn | 1434-8322 |
| language | English |
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| spelling | Shizgal, Bernard Verfasser aut Spectral Methods in Chemistry and Physics Applications to Kinetic Theory and Quantum Mechanics Bernard Shizgal Dordrecht [u.a.] Springer 2015 1 Online-Ressource (XVII, 415 p. 102 illus., 2 illus. in color) txt rdacontent c rdamedia cr rdacarrier Scientific Computation 1434-8322 Physics Chemistry / Mathematics Chemistry, Physical organic Quantum theory Theoretical, Mathematical and Computational Physics Physical Chemistry Math. Applications in Chemistry Quantum Physics Chemie Mathematik Quantentheorie Erscheint auch als Druckausgabe 978-94-017-9453-4 https://doi.org/10.1007/978-94-017-9454-1 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027763223&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027763223&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Shizgal, Bernard Spectral Methods in Chemistry and Physics Applications to Kinetic Theory and Quantum Mechanics Physics Chemistry / Mathematics Chemistry, Physical organic Quantum theory Theoretical, Mathematical and Computational Physics Physical Chemistry Math. Applications in Chemistry Quantum Physics Chemie Mathematik Quantentheorie |
| title | Spectral Methods in Chemistry and Physics Applications to Kinetic Theory and Quantum Mechanics |
| title_auth | Spectral Methods in Chemistry and Physics Applications to Kinetic Theory and Quantum Mechanics |
| title_exact_search | Spectral Methods in Chemistry and Physics Applications to Kinetic Theory and Quantum Mechanics |
| title_full | Spectral Methods in Chemistry and Physics Applications to Kinetic Theory and Quantum Mechanics Bernard Shizgal |
| title_fullStr | Spectral Methods in Chemistry and Physics Applications to Kinetic Theory and Quantum Mechanics Bernard Shizgal |
| title_full_unstemmed | Spectral Methods in Chemistry and Physics Applications to Kinetic Theory and Quantum Mechanics Bernard Shizgal |
| title_short | Spectral Methods in Chemistry and Physics |
| title_sort | spectral methods in chemistry and physics applications to kinetic theory and quantum mechanics |
| title_sub | Applications to Kinetic Theory and Quantum Mechanics |
| topic | Physics Chemistry / Mathematics Chemistry, Physical organic Quantum theory Theoretical, Mathematical and Computational Physics Physical Chemistry Math. Applications in Chemistry Quantum Physics Chemie Mathematik Quantentheorie |
| topic_facet | Physics Chemistry / Mathematics Chemistry, Physical organic Quantum theory Theoretical, Mathematical and Computational Physics Physical Chemistry Math. Applications in Chemistry Quantum Physics Chemie Mathematik Quantentheorie |
| url | https://doi.org/10.1007/978-94-017-9454-1 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027763223&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027763223&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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