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The problems of making inferences about the natural world from noisy observations and imperfect theories occur in almost all scientific disciplines. This 2006 book addresses these problems using examples taken from geophysical fluid dynamics. It focuses on discrete formulations, both static and time-varying, known variously as inverse, state estimation or data assimilation problems. Starting with fundamental algebraic and statistical ideas, the book guides the reader through a range of inference tools including the singular value decomposition, Gauss-Markov and minimum variance estimates, Kalman filters and related smoothers, and adjoint (Lagrange multiplier) methods. The final chapters discuss a variety of practical applications to geophysical flow problems. Discrete Inverse and State Estimation Problems is an ideal introduction to the topic for graduate students and researchers in oceanography, meteorology, climate dynamics, and geophysical fluid dynamics. It is also accessible to a wider scientific audience; the only prerequisite is an understanding of linear algebra.
Oceanography --- Estimation theory --- Geophysics --- Mathematical models --- Fluid models --- Problèmes inverses (équations différentielles) --- Inverse problems (Differential equations) --- Estimation theory. --- Fluid models in geophysics --- Rotating dishpan --- Estimating techniques --- Least squares --- Mathematical statistics --- Stochastic processes --- Mathematical models. --- Fluid models. --- Fluides, Mécanique des --- Fluid mechanics --- Géophysique --- Mécanique des fluides. --- Oceanography - Mathematical models --- Geophysics - Fluid models --- Mécanique des fluides. --- Géophysique --- Problèmes inverses (équations différentielles)
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This book presents the most recent achievements in data assimilation in Geosciences, especially in regards to meteorology, oceanography and hydrology. It spans both theoretical and applied aspects with various methodologies including variational, Kalman filter, maximum likelihood ensemble filter and other ensemble methods. Besides data assimilation, other important topics are also covered including targeting observation, parameter estimation, and remote sensing data retrieval. The book will be useful to individual researchers as well as graduate students as a reference in the field of data assimilation.
Numerical weather forecasting --- Oceanography --- Hydrology --- Meteorology --- Mathematical models --- Kalman filtering --- Hydrological forecasting. --- Research. --- Meteorological research --- Weather --- Weather research --- Ocean --- Oceanographic research --- Earth sciences --- Research --- Forecasting --- Geography. --- Hydraulic engineering. --- Atmospheric Sciences. --- Monitoring/Environmental Analysis. --- Geography, general. --- Hydrogeology. --- Engineering, Hydraulic --- Engineering --- Fluid mechanics --- Hydraulics --- Shore protection --- Cosmography --- World history --- Atmospheric sciences. --- Environmental monitoring. --- Geohydrology --- Geology --- Groundwater --- Biomonitoring (Ecology) --- Ecological monitoring --- Environmental quality --- Monitoring, Environmental --- Applied ecology --- Environmental engineering --- Pollution --- Atmospheric sciences --- Atmosphere --- Measurement --- Monitoring --- Oceanography - Mathematical models --- Hydrology - Mathematical models --- Meteorology - Mathematical models
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Modelling of Marine Systems
Oceanography --- Océanographie --- Mathematical models --- Congresses --- Modèles mathématiques --- Congrès --- 551.46 --- -Oceanography, Physical --- Oceanology --- Physical oceanography --- Thalassography --- Earth sciences --- Marine sciences --- Ocean --- Physical oceanography. Submarine topography. Ocean floor --- -Congresses --- Congresses. --- -Physical oceanography. Submarine topography. Ocean floor --- 551.46 Physical oceanography. Submarine topography. Ocean floor --- -551.46 Physical oceanography. Submarine topography. Ocean floor --- Oceanography, Physical --- Océanographie --- Modèles mathématiques --- Congrès --- Mathematical models&delete& --- Marine ecology --- Biological oceanography --- Marine ecosystems --- Aquatic ecology --- Mathematical models. --- Ecology --- Hydrodynamics. --- Oceanography - Mathematical models - Congresses --- Ocean environments --- Wave dispersion
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This book introduces the reader to advanced methods used in the computer-based modelling of fluid processes. This includes nonhydrostatic processes such as breaking internal waves and density-driven convection, but the model code is also used to simulate an El-Niño event! The book contains 25 practical exercises, using freely available Open-Source software suites, which are widely used by the scientific community. In this book, the art of hydrodynamic modelling is made available and transparent to a wider readership. An attractive byproduct of the book is that results are animations rather than still images. Model codes and animation scripts for all exercises are supplied on a website. The reader can adopt model codes for own independent studies.
Meereskunde. --- Numerisches Modell. --- Oceanography -- Computer simulation. --- Oceanography -- Mathematical models. --- Open source software. --- Oceanography --- Open source software --- Earth & Environmental Sciences --- Marine Science --- Mathematical models --- Computer simulation --- Fluid dynamics --- Mathematical models. --- Computer programs. --- Earth sciences. --- Climatology. --- Geophysics. --- Oceanography. --- Atmospheric sciences. --- Earth Sciences. --- Atmospheric Sciences. --- Earth Sciences, general. --- Geophysics/Geodesy. --- Geography. --- Physical geography. --- Geography --- Cosmography --- Earth sciences --- World history --- Oceanography, Physical --- Oceanology --- Physical oceanography --- Thalassography --- Marine sciences --- Ocean --- Geological physics --- Terrestrial physics --- Physics --- Geosciences --- Environmental sciences --- Physical sciences --- Atmospheric sciences --- Atmosphere --- Climate --- Climate science --- Climate sciences --- Science of climate --- Atmospheric science
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Over the past decade the significant advances in real-time ocean observing systems, ocean modelling, ocean data assimilation and super-computing has seen the development and implementation of operational ocean forecasts of the global ocean. At the conclusion of the Global Ocean Data Assimilation Experiment (GODAE) in 2008 ocean forecasting services were being supported by 12 international centres. The book is about ocean forecasting - a maturing field which remains an active area of research, and includes the discussion on such topics as ocean predictability, observing system design, high resolution ocean modelling and ocean data assimilation. It presents the introduction to ocean forecasts which allow new opportunities in areas of coupled bio-geochemical forecasting and coupled atmosphere-wave-ocean forecasting. The book describes the research and development to improve forecast systems, determining how best to service the marine user community with forecast information as well as demonstrating impact to their applications. It also discusses operational centres which develop online graphical and data products for their user communities and obtain real-time feedback on the quality of this information. The contents of this book are aimed at early career scientists and professionals with an interest in operational oceanography and related ocean science. There are excellent opportunities for exciting research through operational forecasting careers in order to address current and future challenges in this field and to service a growing user community.
Ocean. --- Oceanography -- 21st century. --- Oceanography -- Mathematical models. --- Oceanography. --- Earth & Environmental Sciences --- Marine Science --- Oceanography --- Research. --- Remote sensing. --- Ocean --- Oceanographic research --- Research --- Earth sciences. --- Climate change. --- Physical geography. --- Earth Sciences. --- Climate Change/Climate Change Impacts. --- Physical Geography. --- Geography --- Oceanography, Physical --- Oceanology --- Physical oceanography --- Thalassography --- Earth sciences --- Marine sciences --- Changes, Climatic --- Changes in climate --- Climate change --- Climate change science --- Climate changes --- Climate variations --- Climatic change --- Climatic changes --- Climatic fluctuations --- Climatic variations --- Global climate changes --- Global climatic changes --- Climatology --- Climate change mitigation --- Teleconnections (Climatology) --- Environmental aspects --- Global environmental change
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681.3 <063> --- 51-7 --- 519.6 --- 681.3*J2 --- Computerwetenschap--Congressen --- Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc. --- Computational mathematics. Numerical analysis. Computer programming --- Physical sciences and engineering (Computer applications) --- Fluid mechanics --- Plasma (Ionized gases) --- Meteorology --- Oceanography --- Mathematical models --- Data processing --- 681.3*J2 Physical sciences and engineering (Computer applications) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- 51-7 Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc. --- Éléments finis, Méthode des --- Finite element method --- Analyse numérique. --- Numerical analysis --- Éléments finis, Méthode des. --- Finite element method. --- Numerical analysis. --- Analyse numérique --- Fluid mechanics - Mathematical models - Congresses --- Fluid mechanics - Data processing - Congresses --- Plasma (Ionized gases) - Mathematical models - Congresses --- Plasma (Ionized gases) - Data processing - Congresses --- Meteorology - Mathematical models - Congresses --- Meteorology - Data processing - Congresses --- Oceanography - Mathematical models - Congresses --- Oceanography - Data processing - Congresses --- Milieu continu
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