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 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 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.

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.

Stochastic Modeling of Ocean Dynamics

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Author :
Publisher : Routledge
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.:/5 (42 download)

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Book Synopsis Stochastic Modeling of Ocean Dynamics by : Igorʹ Evgenʹevich Timchenko

Download or read book Stochastic Modeling of Ocean Dynamics written by Igorʹ Evgenʹevich Timchenko and published by Routledge. This book was released on 1984 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

The Dynamics of the Upper Ocean

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Publisher :
ISBN 13 :
Total Pages : 336 pages
Book Rating : 4.:/5 (848 download)

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Book Synopsis The Dynamics of the Upper Ocean by : Owen M Philips

Download or read book The Dynamics of the Upper Ocean written by Owen M Philips and published by . This book was released on 1980 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

The dynamics of the upper ocean

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (636 download)

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Book Synopsis The dynamics of the upper ocean by : Owen M. Phillips

Download or read book The dynamics of the upper ocean written by Owen M. Phillips and published by . This book was released on 1980 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Ocean Dynamics

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (641 download)

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Book Synopsis Ocean Dynamics by :

Download or read book Ocean Dynamics written by and published by . This book was released on 2001 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fundamental of Ocean Dynamics

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Publisher : Elsevier
ISBN 13 : 9780080870526
Total Pages : 248 pages
Book Rating : 4.8/5 (75 download)

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Book Synopsis Fundamental of Ocean Dynamics by :

Download or read book Fundamental of Ocean Dynamics written by and published by Elsevier. This book was released on 2011-09-22 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamental of Ocean Dynamics

An Introduction to Ocean Dynamics

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Publisher :
ISBN 13 : 9789387593466
Total Pages : 384 pages
Book Rating : 4.5/5 (934 download)

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Book Synopsis An Introduction to Ocean Dynamics by : Navale Pandharinath

Download or read book An Introduction to Ocean Dynamics written by Navale Pandharinath and published by . This book was released on 2019-07 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is written to meets the needs of post graduate students who opt special subjects of ocean and atmospheric sciences and oceanography, ocean engineering. These students have different back grieved, require self study like physical and basic dynamic ocean back ground and this aspect fully meets - First seven chapters are dealt with physical oceanography and the remainder deals with dynamics of ocean The Book Covers: The oceans composition, ocean currents, distribution temperature, salinity, density, ocean mixed layer and termocline. Ocean stability, heat budget, friction and turbulence is dealt. After this dynamics of ocean given, which covers fluid statics, fluid dynamics equations of continuity and motion. Wind drives ocean circulation, geotropic motion and vorticty in ocean given. Dealing firefly about geophysical aspect of hydrodynamics, the deep ocean circulation described. Describing the source of energy, the sun, the input of ocean on earths climate, ocean waves, tides tsunamis and finally elements of ocean modeling presented.

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.

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.

Mathematics of Planet Earth

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Publisher : Springer Nature
ISBN 13 : 3030220443
Total Pages : 374 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Mathematics of Planet Earth by : Hans G. Kaper

Download or read book Mathematics of Planet Earth written by Hans G. Kaper and published by Springer Nature. This book was released on 2019-11-01 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since its inception in 2013, Mathematics of Planet Earth (MPE) focuses on mathematical issues arising in the study of our planet. Interested in the impact of human activities on the Earth’s system, this multidisciplinary field considers the planet not only as a physical system, but also as a system supporting life, a system organized by humans, and a system at risk. ​The articles collected in this volume demonstrate the breadth of techniques and tools from mathematics, statistics, and operations research used in MPE. Topics include climate modeling, the spread of infectious diseases, stability of ecosystems, ecosystem services, biodiversity, infrastructure restoration after an extreme event, urban environments, food security, and food safety. Demonstrating the mathematical sciences in action, this book presents real-world challenges for the mathematical sciences, highlighting applications to issues of current concern to society. Arranged into three topical sections (Geo- and Physical Sciences; Life Sciences, Ecology and Evolution; Socio-economics and Infrastructure), thirteen chapters address questions such as how to measure biodiversity, what mathematics can say about the sixth mass extinction, how to optimize the long-term human use of natural capital, and the impact of data on infrastructure management. The book also treats the subject of infectious diseases with new examples and presents an introduction to the mathematics of food systems and food security. Each chapter functions as an introduction that can be studied independently, offering source material for graduate student seminars and self-study. The range of featured research topics provides mathematical scientists with starting points for the study of our planet and the impact of human activities. At the same time, it offers application scientists a plethora of modern mathematical tools and techniques to address the various topics in practice. Including hundreds of references to the vast literature associated with each topic, this book serves as an inspiration for further research.

Atmosphere, Ocean and Climate Dynamics

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Publisher : Academic Press
ISBN 13 : 0080954561
Total Pages : 344 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 1978-11-16 with total page 344 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 and beginning graduate students * Provides a useful educational tool through a combination of observations and laboratory demonstrations which can be viewed over the web * Contains instructions on how to reproduce the simple but informative laboratory experiments * Includes copious problems (with sample answers) to help students learn the material.