Mathematics of climate modeling:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boston [u.a.]
Birkhäuser
1997
|
| Series: | Modeling and simulation in science, engineering & technology
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 247 - 257 |
| Physical Description: | XVI, 264 S. graph. Darst. |
| ISBN: | 0817639152 3764339152 |
Staff View
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| 245 | 1 | 0 | |a Mathematics of climate modeling |c Valentin P. Dymnikov ; Aleksander N. Filatov |
| 264 | 1 | |a Boston [u.a.] |b Birkhäuser |c 1997 | |
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| 650 | 4 | |a Climatology |x Mathematics | |
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Record in the Search Index
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|---|---|
| adam_text | MATHEMATICS OF CLIMATE MODELING VALENTIN P. DYMNIKOV ALEKSANDER N.
FILATOV BIRKHAUSER BOSTON * BASEL * BERLIN CONTENTS PREFACE VII
INTRODUCTION IX CHAPTER 1. DYNAMICAL SYSTEMS. ATTRACTORS, INVARIANT
MEASURES 1 1.1 METRIC SPACES. COMPACTNESS 5 1.2 DYNAMICAL SYSTEMS. MAIN
PROPERTIES 9 1.3 INVARIANT SETS 14 1.4 CLASSIFICATION OF MOTIONS 16 1.5
RECURRENCE OF DOMAINS 23 1.6 MEASURE. KRYLOV-BOGOLYUBOV THEOREM 29 1.7
DYNAMICAL SYSTEMS WITH INVARIANT MEASURE 41 1.8 NONLINEAR DISSIPATIVE
SYSTEMS 52 1.9 INERTIAL MANIFOLDS OF DISSIPATIVE SYSTEMS 67 CHAPTER 2.
NON-AUTONOMOUS DISSIPATIVE SYSTEMS, THEIR ATTRACTOR AND AVERAGING 77 2.1
INTRODUCTION 77 2.2 PROCESSES AND THEIR ATTRACTORS. KERNEL OF PROCESSES,
SECTION OF KERNEL .81 2.3 FAMILIES OF PROCESSES AND THEIR ATTRACTORS 85
2.4 FAMILY OF PROCESSES AND SEMIGROUPS 88 2.5 AVERAGING OF NONLINEAR
DISSIPATIVE SYSTEMS. CLOSENESS BETWEEN ATTRACTORS OF ORIGINAL AND
AVERAGED SYSTEMS 93 2.6 ON CLOSENESS OF SOLUTIONS OF ORIGINAL AND
AVERAGED NONLINEAR DISSIPATIVE SYSTEMS ON INFINITE TIME INTERVAL 102
CHAPTER 3. ANALYSIS OF BAROTROPIC MODEL 109 3.1. EXISTENCE OF GLOBAL
ATTRACTOR 109 3.2 ESTIMATE OF DIMENSION OF ATTRACTOR 105 3.3 STATISTICAL
SOLUTIONS AND INVARIANT MEASURES ON ATTRACTOR 107 3.4 ESTIMATE OF
ATTRACTOR DIMENSION WITH RESPECT TO OROGRAPHY 121 3.5 GALERKIN
APPROXIMATIONS 125 3.6 EXISTENCE OF INERTIAL MANIFOLD 126 CHAPTER 4.
DISCRETIZATION OF SYSTEMS POSSESSING ATTRACTOR 131 4.1 DISCRETIZATION OF
SYSTEMS POSSESSING INERTIAL MANIFOLDS .. .132 4.2 TIME-SPACE
DISCRETIZATION OF SYSTEMS POSSESSING ATTRACTOR 133 4.3 GLOBALLY STABLE
DIFFERENCE SCHEMES FOR BAROTROPIC VORTICITY EQUATION 143 VI CONTENTS
CHAPTER 5. NUMERICAL STUDY OF STRUCTURE OF ATTRACTOR GENERATED BY
BAROTROPIC EQUATIONS ON SPHERE 171 5.1 EQUATIONS AND PARAMETERS OF
MODEL. METHODS OF SOLVING OF STATIONARY AND NONSTATIONARY PROBLEMS 176
5.2 STATISTICAL STATIONARY SOLUTION AND STATIONARY POINTS 180 5.3
LYAPUNOV EXPONENTS AND ATTRACTOR DIMENSION 287 5.4 ANALYSIS OF
ANALYTICAL ESTIMATES OF ATTRACTOR DIMENSION OF BAROTROPIC ATMOSPHERIC
EQUATIONS 188 CHAPTER 6. TWO-LAYER BAROCLINIC MODEL 189 6.1 TWO-LAYER
BAROCLINIC MODEL 193 6.2 ESTIMATE OF ATTRACTOR DIMENSION 203 6.3
NUMERICAL INVESTIGATION OF ATTRACTOR. CHARACTERISTICS OF TWO-LAYER
BAROCLINIC MODEL 209 CHAPTER 7. INVESTIGATION OF STRUCTURE OF CLIMATE
ATTRACTORS BY OBSERVED DATA SERIES 211 7.1. CORRELATION DIMENSION OF
ATTRACTOR 213 7.2. CALCULATION OF LYAPUNOV EXPONENTS 216 7.3
STATISTICALLY INDEPENDENT DEGREES OF FREEDOM AND ATTRACTOR DIMENSION 217
CHAPTER 8. REGIMES OF ATMOSPHERE CIRCULATION .... 221 8.1 DEFINITION OF
ATMOSPHERE CIRCULATION REGIMES 221 8.2 DYNAMICAL THEORY OF TWO-REGIME
BAROTROPIC CIRCULATION 223 8.3. STATISTICAL THEORY OF TWO-REGIME
BAROTROPIC CIRCULATION 229 8.4 S-REGIMES OF ATMOSPHERE CIRCULATION 233
CHAPTER 9. SOLVABILITY OF OCEAN AND ATMOSPHERE _. MODELS .235 9.1
INTRODUCTION 235 9.2 SOLVABILITY OF OCEAN AND ATMOSPHERE MODELS IN
BOUNDED DOMAINS 236 9.3 SOLVABILITY OF OCEAN AND ATMOSPHERE MODELS ON
SPHERE IN P-SYSTEM OF COORDINATES 246 BIBLIOGRAPHY 247 INDEX 259
|
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| dewey-ones | 551 - Geology, hydrology, meteorology |
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| dewey-search | 551.6/01/5118 |
| dewey-sort | 3551.6 11 45118 |
| dewey-tens | 550 - Earth sciences |
| discipline | Geologie / Paläontologie Mathematik Geographie |
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| spelling | Dymnikov, Valentin P. Verfasser aut Mathematics of climate modeling Valentin P. Dymnikov ; Aleksander N. Filatov Boston [u.a.] Birkhäuser 1997 XVI, 264 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Modeling and simulation in science, engineering & technology Literaturverz. S. 247 - 257 Climatologie - Mathématiques Climatologie - Modèles mathématiques Équations différentielles Mathematik Mathematisches Modell Climatology Mathematical models Climatology Mathematics Differential equations Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Klima (DE-588)4031170-3 gnd rswk-swf Klima (DE-588)4031170-3 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Filatov, Aleksandr N. Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007536433&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Dymnikov, Valentin P. Filatov, Aleksandr N. Mathematics of climate modeling Climatologie - Mathématiques Climatologie - Modèles mathématiques Équations différentielles Mathematik Mathematisches Modell Climatology Mathematical models Climatology Mathematics Differential equations Mathematisches Modell (DE-588)4114528-8 gnd Klima (DE-588)4031170-3 gnd |
| subject_GND | (DE-588)4114528-8 (DE-588)4031170-3 |
| title | Mathematics of climate modeling |
| title_auth | Mathematics of climate modeling |
| title_exact_search | Mathematics of climate modeling |
| title_full | Mathematics of climate modeling Valentin P. Dymnikov ; Aleksander N. Filatov |
| title_fullStr | Mathematics of climate modeling Valentin P. Dymnikov ; Aleksander N. Filatov |
| title_full_unstemmed | Mathematics of climate modeling Valentin P. Dymnikov ; Aleksander N. Filatov |
| title_short | Mathematics of climate modeling |
| title_sort | mathematics of climate modeling |
| topic | Climatologie - Mathématiques Climatologie - Modèles mathématiques Équations différentielles Mathematik Mathematisches Modell Climatology Mathematical models Climatology Mathematics Differential equations Mathematisches Modell (DE-588)4114528-8 gnd Klima (DE-588)4031170-3 gnd |
| topic_facet | Climatologie - Mathématiques Climatologie - Modèles mathématiques Équations différentielles Mathematik Mathematisches Modell Climatology Mathematical models Climatology Mathematics Differential equations Klima |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007536433&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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