Stochastic Transport in Upper Ocean Dynamics II

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Publisher : Springer Nature
ISBN 13 : 3031400941
Total Pages : 347 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Stochastic Transport in Upper Ocean Dynamics II by : Bertrand Chapron

Download or read book Stochastic Transport in Upper Ocean Dynamics II written by Bertrand Chapron and published by Springer Nature. This book was released on 2023-11-04 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access proceedings volume brings selected, peer-reviewed contributions presented at the Third Stochastic Transport in Upper Ocean Dynamics (STUOD) 2022 Workshop, held virtually and in person at the Imperial College London, UK, September 26–29, 2022. The STUOD project is supported by an ERC Synergy Grant, and led by Imperial College London, the National Institute for Research in Computer Science and Automatic Control (INRIA) and the French Research Institute for Exploitation of the Sea (IFREMER). The project aims to deliver new capabilities for assessing variability and uncertainty in upper ocean dynamics. It will provide decision makers a means of quantifying the effects of local patterns of sea level rise, heat uptake, carbon storage and change of oxygen content and pH in the ocean. Its multimodal monitoring will enhance the scientific understanding of marine debris transport, tracking of oil spills and accumulation of plastic in the sea. All topics of these proceedings are essential to the scientific foundations of oceanography which has a vital role in climate science. Studies convened in this volume focus on a range of fundamental areas, including: Observations at a high resolution of upper ocean properties such as temperature, salinity, topography, wind, waves and velocity; Large scale numerical simulations; Data-based stochastic equations for upper ocean dynamics that quantify simulation error; Stochastic data assimilation to reduce uncertainty. These fundamental subjects in modern science and technology are urgently required in order to meet the challenges of climate change faced today by human society. This proceedings volume represents a lasting legacy of crucial scientific expertise to help meet this ongoing challenge, for the benefit of academics and professionals in pure and applied mathematics, computational science, data analysis, data assimilation and oceanography.

Stochastic Transport in Upper Ocean Dynamics

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Publisher : Springer Nature
ISBN 13 : 3031189884
Total Pages : 324 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Stochastic Transport in Upper Ocean Dynamics by : Bertrand Chapron

Download or read book Stochastic Transport in Upper Ocean Dynamics written by Bertrand Chapron and published by Springer Nature. This book was released on 2022-12-13 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access proceedings volume brings selected, peer-reviewed contributions presented at the Stochastic Transport in Upper Ocean Dynamics (STUOD) 2021 Workshop, held virtually and in person at the Imperial College London, UK, September 20–23, 2021. The STUOD project is supported by an ERC Synergy Grant, and led by Imperial College London, the National Institute for Research in Computer Science and Automatic Control (INRIA) and the French Research Institute for Exploitation of the Sea (IFREMER). The project aims to deliver new capabilities for assessing variability and uncertainty in upper ocean dynamics. It will provide decision makers a means of quantifying the effects of local patterns of sea level rise, heat uptake, carbon storage and change of oxygen content and pH in the ocean. Its multimodal monitoring will enhance the scientific understanding of marine debris transport, tracking of oil spills and accumulation of plastic in the sea. All topics of these proceedings are essential to the scientific foundations of oceanography which has a vital role in climate science. Studies convened in this volume focus on a range of fundamental areas, including: Observations at a high resolution of upper ocean properties such as temperature, salinity, topography, wind, waves and velocity; Large scale numerical simulations; Data-based stochastic equations for upper ocean dynamics that quantify simulation error; Stochastic data assimilation to reduce uncertainty. These fundamental subjects in modern science and technology are urgently required in order to meet the challenges of climate change faced today by human society. This proceedings volume represents a lasting legacy of crucial scientific expertise to help meet this ongoing challenge, for the benefit of academics and professionals in pure and applied mathematics, computational science, data analysis, data assimilation and oceanography.

Stochastic Calculus in Infinite Dimensions and SPDEs

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Publisher : Springer Nature
ISBN 13 : 3031695860
Total Pages : 143 pages
Book Rating : 4.0/5 (316 download)

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Book Synopsis Stochastic Calculus in Infinite Dimensions and SPDEs by : Daniel Goodair

Download or read book Stochastic Calculus in Infinite Dimensions and SPDEs written by Daniel Goodair and published by Springer Nature. This book was released on with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic Transport in Upper Ocean Dynamics

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Publisher :
ISBN 13 : 9783031189890
Total Pages : 0 pages
Book Rating : 4.1/5 (898 download)

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Book Synopsis Stochastic Transport in Upper Ocean Dynamics by : Bertrand Chapron

Download or read book Stochastic Transport in Upper Ocean Dynamics written by Bertrand Chapron and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access proceedings volume brings selected, peer-reviewed contributions presented at the Stochastic Transport in Upper Ocean Dynamics (STUOD) 2021 Workshop, held virtually and in person at the Imperial College London, UK, September 20-23, 2021. The STUOD project is supported by an ERC Synergy Grant, and led by Imperial College London, the National Institute for Research in Computer Science and Automatic Control (INRIA) and the French Research Institute for Exploitation of the Sea (IFREMER). The project aims to deliver new capabilities for assessing variability and uncertainty in upper ocean dynamics. It will provide decision makers a means of quantifying the effects of local patterns of sea level rise, heat uptake, carbon storage and change of oxygen content and pH in the ocean. Its multimodal monitoring will enhance the scientific understanding of marine debris transport, tracking of oil spills and accumulation of plastic in the sea. All topics of these proceedings are essential to the scientific foundations of oceanography which has a vital role in climate science. Studies convened in this volume focus on a range of fundamental areas, including: Observations at a high resolution of upper ocean properties such as temperature, salinity, topography, wind, waves and velocity; Large scale numerical simulations; Data-based stochastic equations for upper ocean dynamics that quantify simulation error; Stochastic data assimilation to reduce uncertainty. These fundamental subjects in modern science and technology are urgently required in order to meet the challenges of climate change faced today by human society. This proceedings volume represents a lasting legacy of crucial scientific expertise to help meet this ongoing challenge, for the benefit of academics and professionals in pure and applied mathematics, computational science, data analysis, data assimilation and oceanography.

Stochastic Transport in Upper Ocean Dynamics III

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Publisher : Springer
ISBN 13 : 9783031706592
Total Pages : 0 pages
Book Rating : 4.7/5 (65 download)

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Book Synopsis Stochastic Transport in Upper Ocean Dynamics III by : Bertrand Chapron

Download or read book Stochastic Transport in Upper Ocean Dynamics III written by Bertrand Chapron and published by Springer. This book was released on 2024-10-27 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open-access proceedings volume brings selected, peer-reviewed contributions presented at the Fourth Stochastic Transport in Upper Ocean Dynamics (STUOD) 2023 Workshop, held at IFREMER in Plouzané, France, September 25–28, 2023. The STUOD project is supported by an ERC Synergy Grant, and led by Imperial College London, the National Institute for Research in Computer Science and Automatic Control (INRIA), and the French Research Institute for Exploitation of the Sea (IFREMER). The project aims to deliver new capabilities for assessing variability and uncertainty in upper ocean dynamics. It will provide decision makers a means of quantifying the effects of local patterns of sea level rise, heat uptake, carbon storage, and change of oxygen content and pH in the ocean. Its multimodal monitoring will enhance the scientific understanding of marine debris transport, tracking of oil spills, and accumulation of plastic in the sea. All topics of these proceedings are essential to the scientific foundations of oceanography which has a vital role in climate science. Studies convened in this volume focus on a range of fundamental areas, including: Observations at a high resolution of upper ocean properties such as temperature, salinity, topography, wind, waves and velocity; Large-scale numerical simulations; Data-based stochastic equations for upper ocean dynamics that quantify simulation error; Stochastic data assimilation to reduce uncertainty. These fundamental subjects in modern science and technology are urgently required in order to meet the challenges of climate change faced today by human society. This proceedings volume represents a lasting legacy of crucial scientific expertise to help meet this ongoing challenge, for the benefit of academics and professionals in pure and applied mathematics, computational science, data analysis, data assimilation, and oceanography.

Geometry and Invariance in Stochastic Dynamics

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Publisher : Springer Nature
ISBN 13 : 303087432X
Total Pages : 273 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Geometry and Invariance in Stochastic Dynamics by : Stefania Ugolini

Download or read book Geometry and Invariance in Stochastic Dynamics written by Stefania Ugolini and published by Springer Nature. This book was released on 2022-02-09 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book grew out of the Random Transformations and Invariance in Stochastic Dynamics conference held in Verona from the 25th to the 28th of March 2019 in honour of Sergio Albeverio. It presents the new area of studies concerning invariance and symmetry properties of finite and infinite dimensional stochastic differential equations.This area constitutes a natural, much needed, extension of the theory of classical ordinary and partial differential equations, where the reduction theory based on symmetry and invariance of such classical equations has historically proved to be very important both for theoretical and numerical studies and has given rise to important applications. The purpose of the present book is to present the state of the art of the studies on stochastic systems from this point of view, present some of the underlying fundamental ideas and methods involved, and to outline the main lines for future developments. The main focus is on bridging the gap between deterministic and stochastic approaches, with the goal of contributing to the elaboration of a unified theory that will have a great impact both from the theoretical point of view and the point of view of applications. The reader is a mathematician or a theoretical physicist. The main discipline is stochastic analysis with profound ideas coming from Mathematical Physics and Lie’s Group Geometry. While the audience consists essentially of academicians, the reader can also be a practitioner with Ph.D., who is interested in efficient stochastic modelling.

Stochastic Partial Differential Equations in Fluid Mechanics

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Publisher : Springer Nature
ISBN 13 : 9819903858
Total Pages : 206 pages
Book Rating : 4.8/5 (199 download)

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Book Synopsis Stochastic Partial Differential Equations in Fluid Mechanics by : Franco Flandoli

Download or read book Stochastic Partial Differential Equations in Fluid Mechanics written by Franco Flandoli and published by Springer Nature. This book was released on 2023-06-11 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to stochastic Navier–Stokes equations and more generally to stochasticity in fluid mechanics. The two opening chapters describe basic material about the existence and uniqueness of solutions: first in the case of additive noise treated pathwise and then in the case of state-dependent noise. The main mathematical techniques of these two chapters are known and given in detail for using the book as a reference for advanced courses. By contrast, the third and fourth chapters describe new material that has been developed in very recent years or in works now in preparation. The new material deals with transport-type noise, its origin, and its consequences on dissipation and well-posedness properties. Finally, the last chapter is devoted to the physical intuition behind the stochastic modeling presented in the book, giving great attention to the question of the origin of noise in connection with small-scale turbulence, its mathematical form, and its consequences on large-scale properties of a fluid.

Fundamentals of Stochastic Filtering

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Publisher : Springer Science & Business Media
ISBN 13 : 0387768963
Total Pages : 395 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Fundamentals of Stochastic Filtering by : Alan Bain

Download or read book Fundamentals of Stochastic Filtering written by Alan Bain and published by Springer Science & Business Media. This book was released on 2008-10-08 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a rigorous mathematical treatment of the non-linear stochastic filtering problem using modern methods. Particular emphasis is placed on the theoretical analysis of numerical methods for the solution of the filtering problem via particle methods. The book should provide sufficient background to enable study of the recent literature. While no prior knowledge of stochastic filtering is required, readers are assumed to be familiar with measure theory, probability theory and the basics of stochastic processes. Most of the technical results that are required are stated and proved in the appendices. Exercises and solutions are included.

Lagrangian Analysis and Prediction of Coastal and Ocean Dynamics

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Publisher : Cambridge University Press
ISBN 13 : 113946308X
Total Pages : 479 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Lagrangian Analysis and Prediction of Coastal and Ocean Dynamics by : Annalisa Griffa

Download or read book Lagrangian Analysis and Prediction of Coastal and Ocean Dynamics written by Annalisa Griffa and published by Cambridge University Press. This book was released on 2007-05-10 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by a group of international experts in their field, this book is a review of Lagrangian observation, analysis and assimilation methods in physical and biological oceanography. This multidisciplinary text presents new results on nonlinear analysis of Lagrangian dynamics, the prediction of particle trajectories, and Lagrangian stochastic models. It includes historical information, up-to-date developments, and speculation on future developments in Lagrangian-based observations, analysis, and modeling of physical and biological systems. Containing contributions from experimentalists, theoreticians, and modelers in the fields of physical oceanography, marine biology, mathematics, and meteorology, this book will be of great interest to researchers and graduate students looking for both practical applications and information on the theory of transport and dispersion in physical systems, biological modeling, and data assimilation.

Stochastic Modelling in Physical Oceanography

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Publisher : Springer Science & Business Media
ISBN 13 : 1461224306
Total Pages : 473 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Stochastic Modelling in Physical Oceanography by : Robert Adler

Download or read book Stochastic Modelling in Physical Oceanography written by Robert Adler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of the ocean is almost as old as the history of mankind itself. When the first seafarers set out in their primitive ships they had to understand, as best they could, tides and currents, eddies and vortices, for lack of understanding often led to loss of live. These primitive oceanographers were, of course, primarily statisticians. They collected what empirical data they could, and passed it down, ini tially by word of mouth, to their descendants. Data collection continued throughout the millenia, and although data bases became larger, more re liable, and better codified, it was not really until surprisingly recently that mankind began to try to understand the physics behind these data, and, shortly afterwards, to attempt to model it. The basic modelling tool of physical oceanography is, today, the partial differential equation. Somehow, we all 'know" that if only we could find the right set of equations, with the right initial and boundary conditions, then we could solve the mysteries of ocean dynamics once and for all.

Understanding and Predicting the Gulf of Mexico Ocean Dynamics

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Publisher : Frontiers Media SA
ISBN 13 : 2832547435
Total Pages : 247 pages
Book Rating : 4.8/5 (325 download)

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Book Synopsis Understanding and Predicting the Gulf of Mexico Ocean Dynamics by : Julio Sheinbaum

Download or read book Understanding and Predicting the Gulf of Mexico Ocean Dynamics written by Julio Sheinbaum and published by Frontiers Media SA. This book was released on 2024-04-08 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the past several years, a number of research programs have funded significant efforts to advance understanding of and forecasting capabilities for the Gulf of Mexico circulation, including the Loop Current, its associated eddies, and abyssal dynamics. One such program is the National Academies’ Understanding Gulf Ocean Systems initiative, which focuses on improving forecasts of the physical dynamics of the open Gulf of Mexico in space and time scales useful for the reduction of risks to offshore energy exploration and production, as well as for other challenges such as forecasting hurricane intensification and managing fisheries. What has been learned, how can this scientific progress be incorporated into operational models, and what are the remaining gaps in knowledge impeding predictive skill?

Atmosphere, Ocean and Climate Dynamics

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Publisher : Academic Press
ISBN 13 : 0080954456
Total Pages : 0 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Atmosphere, Ocean and Climate Dynamics by : John Marshall

Download or read book Atmosphere, Ocean and Climate Dynamics written by John Marshall and published by Academic Press. This book was released on 1965-01-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: For advanced undergraduate and beginning graduate students in atmospheric, oceanic, and climate science, Atmosphere, Ocean and Climate Dynamics is an introductory textbook on the circulations of the atmosphere and ocean and their interaction, with an emphasis on global scales. It will give students a good grasp of what the atmosphere and oceans look like on the large-scale and why they look that way. The role of the oceans in climate and paleoclimate is also discussed. The combination of observations, theory and accompanying illustrative laboratory experiments sets this text apart by making it accessible to students with no prior training in meteorology or oceanography.* Written at a mathematical level that is appealing for undergraduates andbeginning graduate students* Provides a useful educational tool through a combination of observations andlaboratory demonstrations which can be viewed over the web* Contains instructions on how to reproduce the simple but informativelaboratory experiments* Includes copious problems (with sample answers) to help students learn thematerial.

Atmospheric and Oceanic Fluid Dynamics

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Publisher : Cambridge University Press
ISBN 13 : 1139459961
Total Pages : 772 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Atmospheric and Oceanic Fluid Dynamics by : Geoffrey K. Vallis

Download or read book Atmospheric and Oceanic Fluid Dynamics written by Geoffrey K. Vallis and published by Cambridge University Press. This book was released on 2006-11-06 with total page 772 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fluid dynamics is fundamental to our understanding of the atmosphere and oceans. Although many of the same principles of fluid dynamics apply to both the atmosphere and oceans, textbooks tend to concentrate on the atmosphere, the ocean, or the theory of geophysical fluid dynamics (GFD). This textbook provides a comprehensive unified treatment of atmospheric and oceanic fluid dynamics. The book introduces the fundamentals of geophysical fluid dynamics, including rotation and stratification, vorticity and potential vorticity, and scaling and approximations. It discusses baroclinic and barotropic instabilities, wave-mean flow interactions and turbulence, and the general circulation of the atmosphere and ocean. Student problems and exercises are included at the end of each chapter. Atmospheric and Oceanic Fluid Dynamics: Fundamentals and Large-Scale Circulation will be an invaluable graduate textbook on advanced courses in GFD, meteorology, atmospheric science and oceanography, and an excellent review volume for researchers. Additional resources are available at www.cambridge.org/9780521849692.

Scientific and Technical Aerospace Reports

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Publisher :
ISBN 13 :
Total Pages : 704 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advection and Diffusion in Random Media

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Publisher : Springer Science & Business Media
ISBN 13 : 1475744587
Total Pages : 334 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Advection and Diffusion in Random Media by : Leonid Piterbarg

Download or read book Advection and Diffusion in Random Media written by Leonid Piterbarg and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book originated from our interest in sea surface temperature variability. Our initial, though entirely pragmatic, goal was to derive adequate mathemat ical tools for handling certain oceanographic problems. Eventually, however, these considerations went far beyond oceanographic applications partly because one of the authors is a mathematician. We found that many theoretical issues of turbulent transport problems had been repeatedly discussed in fields of hy drodynamics, plasma and solid matter physics, and mathematics itself. There are few monographs concerned with turbulent diffusion in the ocean (Csanady 1973, Okubo 1980, Monin and Ozmidov 1988). While selecting material for this book we focused, first, on theoretical issues that could be helpful for understanding mixture processes in the ocean, and, sec ond, on our own contribution to the problem. Mathematically all of the issues addressed in this book are concentrated around a single linear equation: the stochastic advection-diffusion equation. There is no attempt to derive universal statistics for turbulent flow. Instead, the focus is on a statistical description of a passive scalar (tracer) under given velocity statistics. As for applications, this book addresses only one phenomenon: transport of sea surface temperature anomalies. Hopefully, however, our two main approaches are applicable to other subjects.

The Oxford Handbook of Nonlinear Filtering

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Publisher : OUP Oxford
ISBN 13 : 0199532907
Total Pages : 1080 pages
Book Rating : 4.1/5 (995 download)

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Book Synopsis The Oxford Handbook of Nonlinear Filtering by : Dan Crisan

Download or read book The Oxford Handbook of Nonlinear Filtering written by Dan Crisan and published by OUP Oxford. This book was released on 2011-02-17 with total page 1080 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive, interdisciplinary resource for nonlinear (or stochastic) filtering, this Handbook explores the classical theory, the recent advances, and the application of nonlinear filtering to mathematical finance. With contributions from 58 leading experts, it will prove invaluable to anyone working in, or wishing to know more about, the area.

Data Assimilation

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Publisher : Springer Science & Business Media
ISBN 13 : 3540383018
Total Pages : 285 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Data Assimilation by : Geir Evensen

Download or read book Data Assimilation written by Geir Evensen and published by Springer Science & Business Media. This book was released on 2006-12-22 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reviews popular data-assimilation methods, such as weak and strong constraint variational methods, ensemble filters and smoothers. The author shows how different methods can be derived from a common theoretical basis, as well as how they differ or are related to each other, and which properties characterize them, using several examples. Readers will appreciate the included introductory material and detailed derivations in the text, and a supplemental web site.