Stochastic climate models:
Saved in:
| Other Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Basel ; Boston ; Berlin
Birkhäuser
[2001]
|
| Series: | Progress in probability
Volume 49 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | xxvii, 398 Seiten Illustrationen, Diagramme |
| ISBN: | 376436520X |
Staff View
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| 245 | 1 | 0 | |a Stochastic climate models |c Peter Imkeller ; Jin-Song von Storch, (editors) |
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Record in the Search Index
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| adam_text |
STOCHASTIC CLIMATE MODELS PETER IMKELLER JIN-SONG VON STORCH EDITORS
BIRKHAUSER VERLAG BASEL * BOSTON * BERLIN CONTENTS PREFACE .' ; V
INTRODUCTION XIII CONTRIBUTORS AND SPEAKERS XIX LECTURES XXVII CHAPTER 1
THE HIERARCHY OF CLIMATE MODELS 1 A GALLERY OF SIMPLE MODELS FROM
CLIMATE PHYSICS DIRK OLBERS 3 1 INTRODUCTION 3 2 FLUID DYNAMICS AND
THERMODYNAMICS 6 3 REDUCED PHYSICS EQUATIONS 14 4 INTEGRATED MODELS 26 5
LOW-ORDER MODELS 44 REFERENCES 58 SIMPLE CLIMATE MODELS KLAUS FRAEDRICH
65 1 CLIMATE AND CLIMATE MODELLING 65 2 ZERO-DIMENSIONAL ENERGY BALANCE
CLIMATE MODEL 68 3 QUASI-GEOSTROPHIC TWO-LAYER ATMOSPHERE IN A CHANNEL
77 4 REDUCED GRAVITY OCEAN IN A SQUARE BASIN 90 5 SUMMARY AND OUTLOOK 97
REFERENCES 98 COMPLEX CLIMATE MODELS * TOOLS FOR STUDYING THE ORIGIN OF
STOCHASTICITY IN THE CLIMATE SYSTEM JIN-SONG VON STORCH 101 1
INTRODUCTION 101 2 ORIGIN OF COMPLEXITY 104 3 COSEQUENCE OF COMPLEXITY
ILL 4 CONCLUDING REMARKS 114 REFERENCES 115 SOME MATHEMATICAL ASPECTS OF
THE GCMS ROGER TEMAM 117 1 INTRODUCTION . 117 2 HIERARCHY OF PDES IN
THE GCMS 118 3 THE PES AND PEV 2 S OF THE OCEAN 119 4 THE PES AND PEV 2
S OF THE ATMOSPHERE 129 5 COUPLED ATMOSPHERE-OCEAN (CAO) MODELS 134
REFERENCES 136 CHAPTER 2 THE EMERGENCE OF RANDOMNESS: CHAOS, AVERAGING,
LIMIT THEOREMS 139 HASSELMANN'S PROGRAM REVISITED: THE ANALYSIS OF
STOCHASTICITY IN DETERMINISTIC CLIMATE MODELS LUDWIG ARNOLD 141 1
INTRODUCTION 141 2 STOCHASTICITY IN DETERMINISTIC CLIMATE MODELS WITH
TWO SEPARATE TIME SCALES 143 3 THE METHOD OF AVERAGING 146 4 NORMAL
DEVIATIONS FROM THE AVERAGED SYSTEM: THE CENTRAL LIMIT THEOREM 148 5
LARGE DEVIATIONS FROM THE AVERAGED SYSTEM 151 6 EXTENSIONS OF
HASSELMANN'S PROGRAM COMMENTS 154 REFERENCES 155 THERMODYNAMIC
FORMALISM, LARGE DEVIATION, AND MULTIFRACTALS MANFRED DENKER AND MARC
KESSEBOHMER 159 1 EXPANDING DYNAMICAL SYSTEMS 159 2 POINTWISE DIMENSION
163 3 MULTIFRACTAL FORMALISM 165 4 LOCAL LARGE DEVIATION 166 .,- -
REFERENCES 168 SUMMARY 168 AVERAGING AND CLIMATE MODELS YURI KIFER 171 1
INTRODUCTION 171 2 THE AVERAGING SETUP 172 3 FULLY COUPLED SYSTEMS 177 4
APPENDIX A: HYPERBOLICITY 182 5 APPENDIX B: PROOF OF THEOREM 3.1 183 6
APPENDIX B: PROOF OF THEOREM 3.2 185 REFERENCES 187 VIN DYNAMICAL
SYSTEMS WITH TIME SCALE SEPARATION: AVERAGING, STOCHASTIC MODELLING, AND
CENTRAL LIMIT THEOREMS CHRISTIAN RODENBECK, CHRISTIAN BECK AND HOLGER
KANTZ 189 1 INTRODUCTION 189 2 AVERAGE SKILL OF AN AVERAGED MODEL 190 3
STOCHASTIC MODELLING . .'.' 194 4 CENTRAL LIMIT THEOREMS AND THEIR
LIMITS 201 CONCLUSION 206 APPENDIX: REMARKS ON THE NUMERICAL
IMPLEMENTATION 207 REFERENCES 208 CHAPTER 3 TOOLS AND METHODS: SDE,
DYNAMICAL SYSTEMS, SPDE, MULTISCALE TECHNIQUES 211 ENERGY BALANCE MODELS
* VIEWED FROM STOCHASTIC DYNAMICS PETER IMKELLER 213 1 INTRODUCTION 213
2 THE PARADIGM OF STOCHASTIC RESONANCE 215 3 DETERMINISTIC ENERGY
BALANCE MODELS 219 4 STOCHASTIC EXTENSIONS OF EBM 228 5 STOCHASTIC
RESONANCE: FREIDLIN'S APPROACH 229 REFERENCES 236 EXPONENTIAL STABILITY
OF THE QUASIGEOSTROPHIC EQUATION UNDER RANDOM PERTURBATIONS JINQIAO
DUAN, PETER E. KLOEDEN AND BJORN SCHMALFUSS 241 1 INTRODUCTION 241 2
PRELIMINARIES 243 3 TRANSFORMATION OF THE QUASIGEOSTROPHIC EQUATION 247
4 THE STATIONARY SOLUTION 249 5 DISCUSSION 255 REFERENCES 255 A MINI
COURSE ON STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS JERZY ZABCZYK 257 1
INTRODUCTION 257 2 CAUCHY PROBLEM AND SEMIGROUPS 258 3 INFINITE
DIMENSIONAL WIENER PROCESSES 263 4 STOCHASTIC INTEGRATION 265 IX 5 FIRST
ORDER STOCHASTIC EQUATIONS 266 6 HEAT EQUATION WITH SPACE-TIME WHITE
NOISE 269 7 STATIONARY SOLUTIONS OF A WAVE EQUATION 271 8 NONLINEAR
STOCHASTIC PDES 275 9 APPENDIX 279 REFERENCES 283 HASSELMANN'S
STOCHASTIC CLIMATE MODEL VIEWED FROM A STATISTICAL MECHANICS PERSPECTIVE
PETER MULLER 285 .1 INTRODUCTION 285 2 THE MICROSCOPIC DESCRIPTION 287 3
* THE MESOSCOPIC DESCRIPTION 288 4 A DERIVATION OF THE LANGEVIN EQUATION
289 5 THE MACROSCOPIC DESCRIPTION 292 6 STATISTICAL MECHANICS 293 7
DISCUSSION 294 REFERENCES 294 CHAPTER 4 REDUCED STOCHASTIC MODELS AND
PARTICULAR TECHNIQUES 297 CONSTRAINED STOCHASTIC FORCING JOSEPH EGGER
299 1 INTRODUCTION 299 2 CHARNEY-DEVORE MODEL 300 3 DISCUSSION 306
REFERENCES 307 STOCHASTIC RESONANCE AND NOISE-INDUCED PHASE COHERENCE
JAN A. FREUND, ALEXANDER NEIMAN AND LUTZ SCHIMANSKY-GEIER 309 1
INTRODUCTION 309 2 STOCHASTIC RESONANCE IN THE FRAMEWORK OF
SYNCHRONIZATION PHENOMENA 316 3 CONCLUSIONS 322 REFERENCES 322
STOCHASTIC CONFINEMENT OF ROSSBY WAVES BY FLUCTUATING EASTWARD FLOWS
ADAM HUGH MONAHAN, LIONEL PANDOLFO AND PETER IMKELLER 325 1 INTRODUCTION
325 2 SPECTRAL MODEL 327 3 SUPERROTATION FLOW 331 4 INTERPRETATION 335 5
CONCLUSIONS 340 REFERENCES 341 SOME MATHEMATICAL REMARKS CONCERNING THE
LOCALIZATION OF PLANETARY WAVES IN A STOCHASTIC BACKGROUND FLOW PETER
IMKELLER, ADAM HUGH MONAHAN AND LIONEL PANDOLFO 345 1 INTRODUCTION 345 2
SOME REMARKS CONCERNING PATH PROPERTIES OF R 347 3 TRANSFORMATION INTO
STURM-LIOUVILLE PROBLEMS 349 4 CRITICAL LINES FOR \X = 0 353 5 CRITICAL
LINES FOR GENERAL /J, 355 6 THE SPECTRUM OF L 358 7 THE SPECTRUM OF K
364 REFERENCES 367 ROSSBY WAVES IN A STOCHASTICALLY FLUCTUATING MEDIUM
PRASHANT SARDESHMUKH, CECILE PENLAND AND MATTHEW NEWMAN 369 1
INTRODUCTION 369 2 THE STOCHASTIC DIFFERENTIAL EQUATIONS 372 RESULTS 379
SUMMARY AND DISCUSSION 382 APPENDIX A 382 REFERENCES 383 PASSIVE TRACER
TRANSPORT IN STOCHASTIC FLOWS W.A. WOYCZYNSKI 385 1 INTRODUCTION 385 2
LAGRANGIAN VS. EULERIAN PICTURE 385 3 SLOWLY VARYING SPATIAL VARIABLES
388 4 RICHARDSON FUNCTION OF AN ADVECTED SCALAR 389 5 STATISTICAL
TOPOGRAPHY OF PASSIVE TRACER FIELDS 390 6 OTHER DIRECTIONS .-. _. 393
REFERENCES 396 XI |
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| spelling | Stochastic climate models Peter Imkeller ; Jin-Song von Storch, (editors) Basel ; Boston ; Berlin Birkhäuser [2001] © 2001 xxvii, 398 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Progress in probability Volume 49 Klimatologie gtt Stochastische modellen gtt Mathematisches Modell Climatology Mathematical models Congresses Stochastic processes Congresses Stochastisches Modell (DE-588)4057633-4 gnd rswk-swf Klima (DE-588)4031170-3 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content (DE-588)1071861417 Konferenzschrift gnd-content Klima (DE-588)4031170-3 s Stochastisches Modell (DE-588)4057633-4 s DE-604 Imkeller, Peter 1951- (DE-588)141358343 edt Storch, Jin-Song von (DE-588)171211723 edt Erscheint auch als Online-Ausgabe 978-3-0348-8287-3 Progress in probability Volume 49 (DE-604)BV004163567 49 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009250535&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Stochastic climate models Progress in probability Klimatologie gtt Stochastische modellen gtt Mathematisches Modell Climatology Mathematical models Congresses Stochastic processes Congresses Stochastisches Modell (DE-588)4057633-4 gnd Klima (DE-588)4031170-3 gnd |
| subject_GND | (DE-588)4057633-4 (DE-588)4031170-3 (DE-588)4143413-4 (DE-588)1071861417 |
| title | Stochastic climate models |
| title_auth | Stochastic climate models |
| title_exact_search | Stochastic climate models |
| title_full | Stochastic climate models Peter Imkeller ; Jin-Song von Storch, (editors) |
| title_fullStr | Stochastic climate models Peter Imkeller ; Jin-Song von Storch, (editors) |
| title_full_unstemmed | Stochastic climate models Peter Imkeller ; Jin-Song von Storch, (editors) |
| title_short | Stochastic climate models |
| title_sort | stochastic climate models |
| topic | Klimatologie gtt Stochastische modellen gtt Mathematisches Modell Climatology Mathematical models Congresses Stochastic processes Congresses Stochastisches Modell (DE-588)4057633-4 gnd Klima (DE-588)4031170-3 gnd |
| topic_facet | Klimatologie Stochastische modellen Mathematisches Modell Climatology Mathematical models Congresses Stochastic processes Congresses Stochastisches Modell Klima Aufsatzsammlung Konferenzschrift |
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