Variational Methods in Geosciences

Variational Methods in Geosciences PDF Author: Y.K. Sasaki
Publisher: Elsevier
ISBN: 0444597123
Category : Science
Languages : en
Pages : 320

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Book Description
The last few decades have seen a spectacular growth in the use of variational methods, one of the most classic and elegant methods in physical and mathematical sciences, as powerful tools of optimization and numerical analysis. The tremendous accumulation of information on the use of variational methods in the area of the geosciences, which includes meteorology, oceanography, hydrology, geophysics and seismology, indicated the need for the first symposium on Variational Methods in Geosciences to be organized and held in Norman on October 15-17, 1985. The value of this symposium was enhanced by the number of stimulating and informative papers presented.

Variational Methods in Geosciences

Variational Methods in Geosciences PDF Author: Y.K. Sasaki
Publisher: Elsevier
ISBN: 0444597123
Category : Science
Languages : en
Pages : 320

Get Book Here

Book Description
The last few decades have seen a spectacular growth in the use of variational methods, one of the most classic and elegant methods in physical and mathematical sciences, as powerful tools of optimization and numerical analysis. The tremendous accumulation of information on the use of variational methods in the area of the geosciences, which includes meteorology, oceanography, hydrology, geophysics and seismology, indicated the need for the first symposium on Variational Methods in Geosciences to be organized and held in Norman on October 15-17, 1985. The value of this symposium was enhanced by the number of stimulating and informative papers presented.

Data Assimilation for the Geosciences

Data Assimilation for the Geosciences PDF Author: Steven J. Fletcher
Publisher: Elsevier
ISBN: 0128044845
Category : Science
Languages : en
Pages : 978

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Book Description
Data Assimilation for the Geosciences: From Theory to Application brings together all of the mathematical,statistical, and probability background knowledge needed to formulate data assimilation systems in one place. It includes practical exercises for understanding theoretical formulation and presents some aspects of coding the theory with a toy problem. The book also demonstrates how data assimilation systems are implemented in larger scale fluid dynamical problems related to the atmosphere, oceans, as well as the land surface and other geophysical situations. It offers a comprehensive presentation of the subject, from basic principles to advanced methods, such as Particle Filters and Markov-Chain Monte-Carlo methods. Additionally, Data Assimilation for the Geosciences: From Theory to Application covers the applications of data assimilation techniques in various disciplines of the geosciences, making the book useful to students, teachers, and research scientists. Includes practical exercises, enabling readers to apply concepts in a theoretical formulation Offers explanations for how to code certain parts of the theory Presents a step-by-step guide on how, and why, data assimilation works and can be used

Variational Methods in Geosciences

Variational Methods in Geosciences PDF Author:
Publisher:
ISBN: 9780444426970
Category : Earth sciences
Languages : en
Pages : 0

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Book Description


Variational Methods in Nonlinear Analysis

Variational Methods in Nonlinear Analysis PDF Author: Dimitrios C. Kravvaritis
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110647451
Category : Mathematics
Languages : en
Pages : 584

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Book Description
This well-thought-out book covers the fundamentals of nonlinear analysis, with a particular focus on variational methods and their applications. Starting from preliminaries in functional analysis, it expands in several directions such as Banach spaces, fixed point theory, nonsmooth analysis, minimax theory, variational calculus and inequalities, critical point theory, monotone, maximal monotone and pseudomonotone operators, and evolution problems.

Advanced Data Assimilation for Geosciences

Advanced Data Assimilation for Geosciences PDF Author: Marc Bocquet
Publisher: Lecture Notes of the Les Houch
ISBN: 0198723849
Category : Science
Languages : en
Pages : 609

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Book Description
Data assimilation aims at determining as accurately as possible the state of a dynamical system by combining heterogeneous sources of information in an optimal way. Generally speaking, the mathematical methods of data assimilation describe algorithms for forming optimal combinations of observations of a system, a numerical model that describes its evolution, and appropriate prior information. Data assimilation has a long history of application to high-dimensional geophysical systems dating back to the 1960s, with application to the estimation of initial conditions for weather forecasts. It has become a major component of numerical forecasting systems in geophysics, and an intensive field of research, with numerous additional applications in oceanography, atmospheric chemistry, and extensions to other geophysical sciences. The physical complexity and the high dimensionality of geophysical systems have led the community of geophysics to make significant contributions to the fundamental theory of data assimilation. This book gathers notes from lectures and seminars given by internationally recognized scientists during a three-week school held in the Les Houches School of physics in 2012, on theoretical and applied data assimilation. It is composed of (i) a series of main lectures, presenting the fundamentals of the most commonly used methods, and the information theory background required to understand and evaluate the role of observations; (ii) a series of specialized lectures, addressing various aspects of data assimilation in detail, from the most recent developments of the theory to the specificities of various thematic applications.

Data Assimilation for the Earth System

Data Assimilation for the Earth System PDF Author: Richard Swinbank
Publisher: Springer Science & Business Media
ISBN: 9401000298
Category : Technology & Engineering
Languages : en
Pages : 377

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Book Description
Data assimilation is the combination of information from observations and models of a particular physical system in order to get the best possible estimate of the state of that system. The technique has wide applications across a range of earth sciences, a major application being the production of operational weather forecasts. Others include oceanography, atmospheric chemistry, climate studies, and hydrology. Data Assimilation for the Earth System is a comprehensive survey of both the theory of data assimilation and its application in a range of earth system sciences. Data assimilation is a key technique in the analysis of remote sensing observations and is thus particularly useful for those analysing the wealth of measurements from recent research satellites. This book is suitable for postgraduate students and those working on the application of data assimilation in meteorology, oceanography and other earth sciences.

Data Assimilation for Atmospheric, Oceanic and Hydrologic Applications (Vol. II)

Data Assimilation for Atmospheric, Oceanic and Hydrologic Applications (Vol. II) PDF Author: Seon Ki Park
Publisher: Springer Science & Business Media
ISBN: 3642350887
Category : Science
Languages : en
Pages : 736

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Book Description
This book contains the most recent progress in data assimilation in meteorology, oceanography and hydrology including land surface. It spans both theoretical and applicative aspects with various methodologies such as variational, Kalman filter, ensemble, Monte Carlo and artificial intelligence methods. Besides data assimilation, other important topics are also covered including targeting observation, sensitivity analysis, and parameter estimation. The book will be useful to individual researchers as well as graduate students for a reference in the field of data assimilation.

Theory and Approach of Information Retrievals from Electromagnetic Scattering and Remote Sensing

Theory and Approach of Information Retrievals from Electromagnetic Scattering and Remote Sensing PDF Author: Ya-Qiu Jin
Publisher: Springer Science & Business Media
ISBN: 140204030X
Category : Technology & Engineering
Languages : en
Pages : 393

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Book Description
Advances in space-borne remote sensing have significantly changed the mankind viewpoint how to observe our own Earth planet. Great amount of remote sensing data and images presents new resources to quantitatively describe and monitor our Earth environment, atmosphere, oceanic and land surfaces. In remote sensing, electromagnetic (EM) scattering, emission and wave propagation, as interaction with the Earth environment, lay the physical basis for understanding and extracting geoscientific information. Study of electromagnetic waves with remote sensing application has become an active and interdisciplinary area. This book presents some new progress on the theoretical and numerical approaches for information retrieval of the remote sensing via EM scattering and emission. We begin in Chapter 1 with the vector radiative transfer (VRT) theory for inhomogeneous scatter media. The VRT takes account of multiple scattering, emission and propagation of random scatter media, and quantitatively leads to insights of elucidating and understanding EM wave-terrain surface interaction. Meanwhile, it is extensively applicable to carrying out data interpretation and validation, and to solving the inverse problem, e.g. iteratively, physically or statistically. In Chapter 1, iterative solutions of multiple scattering and emission from inhomogeneous dense scatter media, and inhomogeneous non-spherical scatter media are discussed. Three-dimensional VRT equation (3D-VRT) for spatially inhomogeneous random scatter media for high resolution observation is also investigated. The polarimetric imagery of synthetic aperture radar (SAR) technology is one of most important advances in space-borne microwave remote sensing during recent decades.

Principles of Data Assimilation

Principles of Data Assimilation PDF Author: Seon Ki Park
Publisher: Cambridge University Press
ISBN: 1108831761
Category : Science
Languages : en
Pages : 413

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Book Description
A unique combination of both theoretical and practical aspects of data assimilation with examples and exercises for students.

Advances in Geophysics

Advances in Geophysics PDF Author:
Publisher: Academic Press
ISBN: 0080568637
Category : Science
Languages : en
Pages : 329

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Book Description
Advances in Geophysics