Stochastic Modelling In Physical Oceanography
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Stochastic Modelling In Physical Oceanography
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Author : Robert Adler
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Stochastic Modelling In Physical Oceanography written by Robert Adler and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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.
Stochastic Modelling In Physical Oceanography
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Author : Robert J Adler
language : en
Publisher:
Release Date : 2011-10-12
Stochastic Modelling In Physical Oceanography written by Robert J Adler and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-12 with categories.
Lagrangian Analysis And Prediction Of Coastal And Ocean Dynamics
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Author : Annalisa Griffa
language : en
Publisher: Cambridge University Press
Release Date : 2007-05-10
Lagrangian Analysis And Prediction Of Coastal And Ocean Dynamics written by Annalisa Griffa and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-10 with Science categories.
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.
Bayesian Hierarchical Space Time Models With Application To Significant Wave Height
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Author : Erik Vanem
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-10-11
Bayesian Hierarchical Space Time Models With Application To Significant Wave Height written by Erik Vanem and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-11 with Mathematics categories.
This book provides an example of a thorough statistical treatment of ocean wave data in space and time. It demonstrates how the flexible framework of Bayesian hierarchical space-time models can be applied to oceanographic processes such as significant wave height in order to describe dependence structures and uncertainties in the data. This monograph is a research book and it is partly cross-disciplinary. The methodology itself is firmly rooted in the statistical research tradition, based on probability theory and stochastic processes. However, that methodology has been applied to a problem in the field of physical oceanography, analyzing data for significant wave height, which is of crucial importance to ocean engineering disciplines. Indeed, the statistical properties of significant wave height are important for the design, construction and operation of ships and other marine and coastal structures. Furthermore, the book addresses the question of whether climate change has an effect of the ocean wave climate, and if so what that effect might be. Thus, this book is an important contribution to the ongoing debate on climate change, its implications and how to adapt to a changing climate, with a particular focus on the maritime industries and the marine environment. This book should be of value to anyone with an interest in the statistical modelling of environmental processes, and in particular to those with an interest in the ocean wave climate. It is written on a level that should be understandable to everyone with a basic background in statistics or elementary mathematics, and an introduction to some basic concepts is provided in the appendices for the uninitiated reader. The intended readership includes students and professionals involved in statistics, oceanography, ocean engineering, environmental research, climate sciences and risk assessment. Moreover, the book’s findings are relevant for various stakeholders in the maritime industries such as design offices, classification societies, ship owners, yards and operators, flag states and intergovernmental agencies such as the IMO.
Stochastic Modeling Of Ocean Dynamics
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Author : Igorʹ Evgenʹevich Timchenko
language : en
Publisher: Routledge
Release Date : 1984
Stochastic Modeling Of Ocean Dynamics written by Igorʹ Evgenʹevich Timchenko and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Hydrodynamics categories.
Ocean Modeling And Parameterization
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Author : Eric P. Chassignet
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Ocean Modeling And Parameterization written by Eric P. Chassignet and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
The realism of large scale numerical ocean models has improved dra matically in recent years, in part because modern computers permit a more faithful representation of the differential equations by their algebraic analogs. Equally significant, if not more so, has been the improved under standing of physical processes on space and time scales smaller than those that can be represented in such models. Today, some of the most challeng ing issues remaining in ocean modeling are associated with parameterizing the effects of these high-frequency, small-space scale processes. Accurate parameterizations are especially needed in long term integrations of coarse resolution ocean models that are designed to understand the ocean vari ability within the climate system on seasonal to decadal time scales. Traditionally, parameterizations of subgrid-scale, high-frequency mo tions in ocean modeling have been based on simple formulations, such as the Reynolds decomposition with constant diffusivity values. Until recently, modelers were concerned with first order issues such as a correct represen tation of the basic features of the ocean circulation. As the numerical simu lations become better and less dependent on the discretization choices, the focus is turning to the physics of the needed parameterizations and their numerical implementation. At the present time, the success of any large scale numerical simulation is directly dependent upon the choices that are made for the parameterization of various subgrid processes.
Inverse Methods In Physical Oceanography
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Author : Andrew F. Bennett
language : en
Publisher: Cambridge University Press
Release Date : 1992-07-31
Inverse Methods In Physical Oceanography written by Andrew F. Bennett and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-07-31 with Mathematics categories.
Observations of ocean circulation have increased as a result of international field programmes and of remote sensing systems on artificial earth satellites. Oceanographers are increasingly turning to inverse methods for combining these observations with numerical models of ocean circulation. Professor Bennett's work explores the potential for inverse theory, emphasizing possibilities rather than expedient or rudimentary applications. In addition to interpolating the data and adding realism to the model solutions, the methods can yield estimates for unobserved flow variables, forcing fields, and model parameters. Inverse formulations can resolve ill-posed modelling problems, lead to design criteria for oceanic observing systems, and enable the testing of models as scientific hypothesis. Exercises of varying difficulty rehearse technical skills and supplement the central theoretical development. Thus this book will be invaluable for environmental scientists and engineers, advanced undergraduates in applied mathematics, and graduate students in physical oceanography.
Lagrangian Analysis And Prediction Of Coastal And Ocean Dynamics
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Author : Annalisa Griffa
language : en
Publisher: Cambridge University Press
Release Date : 2007-05-10
Lagrangian Analysis And Prediction Of Coastal And Ocean Dynamics written by Annalisa Griffa and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-10 with Science categories.
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 modellers 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 modelling, and data assimilation.
Parameter Estimation In Stochastic Volatility Models
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Author : Jaya P. N. Bishwal
language : en
Publisher: Springer Nature
Release Date : 2022-08-06
Parameter Estimation In Stochastic Volatility Models written by Jaya P. N. Bishwal and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-06 with Mathematics categories.
This book develops alternative methods to estimate the unknown parameters in stochastic volatility models, offering a new approach to test model accuracy. While there is ample research to document stochastic differential equation models driven by Brownian motion based on discrete observations of the underlying diffusion process, these traditional methods often fail to estimate the unknown parameters in the unobserved volatility processes. This text studies the second order rate of weak convergence to normality to obtain refined inference results like confidence interval, as well as nontraditional continuous time stochastic volatility models driven by fractional Levy processes. By incorporating jumps and long memory into the volatility process, these new methods will help better predict option pricing and stock market crash risk. Some simulation algorithms for numerical experiments are provided.
Ocean Surface Waves Their Physics And Prediction
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Author : Stanisław R Massel
language : en
Publisher: World Scientific
Release Date : 1996-02-12
Ocean Surface Waves Their Physics And Prediction written by Stanisław R Massel and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-02-12 with Technology & Engineering categories.
This book is intended as a handbook for professionals and researchers in the areas of Physical Oceanography, Ocean and Coastal Engineering and as a text for graduate students in these fields. It presents a comprehensive study on surface ocean waves induced by wind, including basic mathematical principles, physical description of the observed phenomena, practical forecasting techniques of various wave parameters and applications in ocean and coastal engineering, all from the probabilistic and spectral points of view. The book commences with a description of mechanisms of surface wave generation by wind and its modern modeling techniques. The stochastic and probabilistic terminology is introduced and the basic statistical and spectral properties of ocean waves are developed and discussed in detail. The bulk of material deals with the prediction techniques for waves in deep and coastal waters for simple and complex ocean basins and complex bathymetry. The various prediction methods, currently used in oceanography and ocean engineering, are described and the examples of practical calculations illustrate the basic text. An appendix provides a description of the modern methods of wave measurement, including the remote sensing techniques. Also the wave simulation methods and random data analysis techniques are discussed. In the book a lot of discoveries of the Russian and East European scientists, largely unknown in the Western literature due to the language barrier, are referred to. Contents:IntroductionGeneration of Waves by WindSpectral Properties of Ocean WavesStatistical Properties of Ocean WavesPrediction of Ocean Waves in Deep WaterPrediction of Ocean Waves in Shallow WaterWaves at Islands and Coral ReefsLong-Term Statistics for Ocean Surface WavesMeasurement, Simulation and Data ProcessingReferences Readership: Researchers and graduate students in physical oceanography, ocean and coastal engineering. keywords:Ocean Waves;Spectral Analysis;Statistical Analysis;Stochastic Processes;Measurement Techniques;Data Processing;Remote Sensing Techniques;Wave Modelling;Similarity Laws;Ocean Wave Spectra;Nonlinear Wave Analysis;Long-Term Statistics “The range of topics and applications is far more extensive; there is much more to tie together. The treatment is less discursive and somewhat more demanding, but always clear to a technically-trained reader … should be available to all physical and dynamical oceanographers interested in applications, and should be close at hand to graduate students and practitioners of ocean and coastal engineering.” Applied Mechanics Reviews