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Mathematical Methods In Oceanography
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Book Synopsis Mathematical Methods for Oceanographers by : Edward A. Laws
Download or read book Mathematical Methods for Oceanographers written by Edward A. Laws and published by John Wiley & Sons. This book was released on 1997-03-05 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dieses Buch erleichtert dem biologisch, chemisch oder geologisch interessierten Ozeanographen den Zugang zu den mathematischen Techniken, die er für seine tägliche Arbeit benötigt. Von den Grundlagen ausgehend, werden Methoden der Datenauswertung behandelt - lineare Regression, Korrelationsmethoden, Varianzanalyse, nichtlineare Techniken, numerische Integrationsverfahren und vieles andere mehr.
Book Synopsis Mathematical Methods in Oceanography by :
Download or read book Mathematical Methods in Oceanography written by and published by . This book was released on 2001 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Physical Oceanography by : Reza Malek-Madani
Download or read book Physical Oceanography written by Reza Malek-Madani and published by CRC Press. This book was released on 2012-04-20 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accessible to advanced undergraduate students, Physical Oceanography: A Mathematical Introduction with MATLAB demonstrates how to use the basic tenets of multivariate calculus to derive the governing equations of fluid dynamics in a rotating frame. It also explains how to use linear algebra and partial differential equations (PDEs) to solve basic i
Book Synopsis Modeling Methods for Marine Science by : David M. Glover
Download or read book Modeling Methods for Marine Science written by David M. Glover and published by Cambridge University Press. This book was released on 2011-06-02 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: This advanced textbook on modeling, data analysis and numerical techniques for marine science has been developed from a course taught by the authors for many years at the Woods Hole Oceanographic Institute. The first part covers statistics: singular value decomposition, error propagation, least squares regression, principal component analysis, time series analysis and objective interpolation. The second part deals with modeling techniques: finite differences, stability analysis and optimization. The third part describes case studies of actual ocean models of ever increasing dimensionality and complexity, starting with zero-dimensional models and finishing with three-dimensional general circulation models. Throughout the book hands-on computational examples are introduced using the MATLAB programming language and the principles of scientific visualization are emphasised. Ideal as a textbook for advanced students of oceanography on courses in data analysis and numerical modeling, the book is also an invaluable resource for a broad range of scientists undertaking modeling in chemical, biological, geological and physical oceanography.
Book Synopsis Mathematical Methods in the Earth and Environmental Sciences by : Adrian Burd
Download or read book Mathematical Methods in the Earth and Environmental Sciences written by Adrian Burd and published by Cambridge University Press. This book was released on 2019-04-18 with total page 599 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible introduction to the mathematical methods essential for understanding processes in the Earth and environmental sciences.
Book Synopsis Dynamical Oceanography by : Henk A. Dijkstra
Download or read book Dynamical Oceanography written by Henk A. Dijkstra and published by Springer Science & Business Media. This book was released on 2008-01-10 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a mathematical introduction to the theory of large-scale ocean circulation. It is accessible for readers with an elementary knowledge of mathematics and physics, including continuum mechanics and solution methods for ordinary differential equations. At the end of each chapter several exercises are formulated. Many of these are aimed to further develop methodological skills and to get familiar with the physical concepts. New material is introduced in only a few of these exercises. Fully worked out answers to all exercises can be downloaded from the book’s web site.
Book Synopsis Inverse Methods in Physical Oceanography by : Andrew F. Bennett
Download or read book Inverse Methods in Physical Oceanography written by Andrew F. Bennett and published by Cambridge University Press. This book was released on 1992-07-31 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Numerical Methods for Atmospheric and Oceanic Sciences by : A Chandrasekar
Download or read book Numerical Methods for Atmospheric and Oceanic Sciences written by A Chandrasekar and published by Cambridge University Press. This book was released on 2022-06-30 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Methods for Atmospheric and Oceanic Sciences caters to the needs of students of atmospheric and oceanic sciences in senior undergraduate and graduate courses as well as students of applied mathematics, mechanical and aerospace engineering. The book covers fundamental theoretical aspects of the various numerical methods that will help both students and teachers in gaining a better understanding of the effectiveness and rigour of these methods. Extensive applications of the finite difference methods used in the processes involving advection, barotropic, shallow water, baroclinic, oscillation and decay are covered in detail. Special emphasis is given to advanced numerical methods such as Semi-Lagrangian, Spectral, Finite Element and Finite Volume methods. Each chapter includes various exercises including Python codes that will enable students to develop the codes and compare the numerical solutions obtained through different numerical methods.
Book Synopsis Fundamentals of Ocean Climate Models by : Stephen Griffies
Download or read book Fundamentals of Ocean Climate Models written by Stephen Griffies and published by Princeton University Press. This book was released on 2018-06-05 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book sets forth the physical, mathematical, and numerical foundations of computer models used to understand and predict the global ocean climate system. Aimed at students and researchers of ocean and climate science who seek to understand the physical content of ocean model equations and numerical methods for their solution, it is largely general in formulation and employs modern mathematical techniques. It also highlights certain areas of cutting-edge research. Stephen Griffies presents material that spans a broad spectrum of issues critical for modern ocean climate models. Topics are organized into parts consisting of related chapters, with each part largely self-contained. Early chapters focus on the basic equations arising from classical mechanics and thermodynamics used to rationalize ocean fluid dynamics. These equations are then cast into a form appropriate for numerical models of finite grid resolution. Basic discretization methods are described for commonly used classes of ocean climate models. The book proceeds to focus on the parameterization of phenomena occurring at scales unresolved by the ocean model, which represents a large part of modern oceanographic research. The final part provides a tutorial on the tensor methods that are used throughout the book, in a general and elegant fashion, to formulate the equations.
Book Synopsis Data Analysis Methods in Physical Oceanography by : Richard E. Thomson
Download or read book Data Analysis Methods in Physical Oceanography written by Richard E. Thomson and published by Elsevier. This book was released on 2001-04-03 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt: Data Analysis Methods in Physical Oceanography is a practical referenceguide to established and modern data analysis techniques in earth and oceansciences. This second and revised edition is even more comprehensive with numerous updates, and an additional appendix on 'Convolution and Fourier transforms'. Intended for both students and established scientists, the fivemajor chapters of the book cover data acquisition and recording, dataprocessing and presentation, statistical methods and error handling,analysis of spatial data fields, and time series analysis methods. Chapter 5on time series analysis is a book in itself, spanning a wide diversity oftopics from stochastic processes and stationarity, coherence functions,Fourier analysis, tidal harmonic analysis, spectral and cross-spectralanalysis, wavelet and other related methods for processing nonstationarydata series, digital filters, and fractals. The seven appendices includeunit conversions, approximation methods and nondimensional numbers used ingeophysical fluid dynamics, presentations on convolution, statisticalterminology, and distribution functions, and a number of importantstatistical tables. Twenty pages are devoted to references. Featuring:• An in-depth presentation of modern techniques for the analysis of temporal and spatial data sets collected in oceanography, geophysics, and other disciplines in earth and ocean sciences.• A detailed overview of oceanographic instrumentation and sensors - old and new - used to collect oceanographic data.• 7 appendices especially applicable to earth and ocean sciences ranging from conversion of units, through statistical tables, to terminology and non-dimensional parameters. In praise of the first edition: "(...)This is a very practical guide to the various statistical analysis methods used for obtaining information from geophysical data, with particular reference to oceanography(...)The book provides both a text for advanced students of the geophysical sciences and a useful reference volume for researchers." Aslib Book Guide Vol 63, No. 9, 1998 "(...)This is an excellent book that I recommend highly and will definitely use for my own research and teaching." EOS Transactions, D.A. Jay, 1999 "(...)In summary, this book is the most comprehensive and practical source of information on data analysis methods available to the physical oceanographer. The reader gets the benefit of extremely broad coverage and an excellent set of examples drawn from geographical observations." Oceanography, Vol. 12, No. 3, A. Plueddemann, 1999 "(...)Data Analysis Methods in Physical Oceanography is highly recommended for a wide range of readers, from the relative novice to the experienced researcher. It would be appropriate for academic and special libraries." E-Streams, Vol. 2, No. 8, P. Mofjelf, August 1999
Book Synopsis Dynamical Oceanography by : Henk A. Dijkstra
Download or read book Dynamical Oceanography written by Henk A. Dijkstra and published by Springer Science & Business Media. This book was released on 2008-10-01 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a mathematical introduction to the theory of large-scale ocean circulation. It is accessible for readers with an elementary knowledge of mathematics and physics, including continuum mechanics and solution methods for ordinary differential equations. At the end of each chapter several exercises are formulated. Many of these are aimed to further develop methodological skills and to get familiar with the physical concepts. New material is introduced in only a few of these exercises. Fully worked out answers to all exercises can be downloaded from the book’s web site.
Book Synopsis Mathematical Methods in the Earth and Environmental Sciences by : Adrian Burd
Download or read book Mathematical Methods in the Earth and Environmental Sciences written by Adrian Burd and published by Cambridge University Press. This book was released on 2019-04-18 with total page 599 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Earth and environmental sciences are becoming progressively more quantitative due to the increased use of mathematical models and new data analysis techniques. This accessible introduction presents an overview of the mathematical methods essential for understanding Earth processes, providing an invaluable resource for students and early career researchers who may have missed (or forgotten) the mathematics they need to succeed as scientists. Topics build gently from basic methods such as calculus to more advanced techniques including linear algebra and differential equations. The practical applications of the mathematical methods to a variety of topics are discussed, ranging from atmospheric science and oceanography to biogeochemistry and geophysics. Including over 530 exercises and end-of-chapter problems, as well as additional computer codes in Python and MATLAB®, this book supports readers in applying appropriate analytical or computational methods to solving real research questions.
Book Synopsis Mathematical Modelling of Ocean Circulation by : Guriĭ Ivanovich Marchuk
Download or read book Mathematical Modelling of Ocean Circulation written by Guriĭ Ivanovich Marchuk and published by Springer. This book was released on 1988-10-05 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problems of ocean dynamics present more and more com plex tasks for investigators, based on the continuously sophisti cation of theoretical models, which are applied with the help of universal and efficient algorithms of numerical mathematics. The present level of our knowledge in the field of mathemat ical physics and numerical mathematics allows one to give rather complete theoretical analysis of basic statements of problems as well as numerical algorithms. Our task is to perform such analy sis and also to analyze the results of calculations in order to improve our knowledge of the mechanism of large-scale hy drological processes occurring in the World Ocean. The new level of numerical mathematics has essentially influenced , the formation of new solution methods of ocean dynamics prob lems, among which an important one is the splitting method, which has been already widely practised in various fields of science and engineering. A number of monographs by N. N. Yanenko, A. A. Samarsky, G.!. Marchuk (Rozhdestvensky and Yanenko 1968; Samarsky and Andreyev 1976; Marchuk 1970, 1980b) and others are devoted to the description of this methods. But the methods of the splitting theory require extensive creative work for their application to concrete problems, which are peculiar, as a rule, in problem formulation. The success of the application of these methods is related to the deep understanding of the essence of the described processes. In the last decades fundamental works of Arakawa, K.
Book Synopsis Advanced Physical Oceanographic Numerical Modelling by : James J. O'Brien
Download or read book Advanced Physical Oceanographic Numerical Modelling written by James J. O'Brien and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a direct result of the NATO Advanced Study Institute held in Banyuls-sur-mer, France, June 1985. The Institute had the same title as this book. It was held at Laboratoire Arago. Eighty lecturers and students from almost all NATO countries attended. The purpose was to review the state of the art of physical oceanographic numerical modelling including the parameterization of physical processes. This book represents a cross-section of the lectures presented at the ASI. It covers elementary mathematical aspects through large scale practical aspects of ocean circulation calculations. It does not encompass every facet of the science of oceanographic modelling. We have, however, captured most of the essence of mesoscale and large-scale ocean modelling for blue water and shallow seas. There have been considerable advances in modelling coastal circulation which are not included. The methods section does not include important material on phase and group velocity errors, selection of grid structures, advanced methods to conservation in highly nonlinear systems, inverse methods and other important ideas for modern ocean modelling. Hopefully, this book will provide a foundation of knowledge to support the growth of this emergent field of science. The NATO Advanced Study Institute was supported by many organi zations. The seed money, of course, was received from the NATO Science Commi ttee. Many national organizations provided travel money for partiCipants. In France, CNES, IFREMER, and CNRS provided funds to support the French participants. In the U. S.
Book Synopsis Climate Mathematics by : Samuel S. P. Shen
Download or read book Climate Mathematics written by Samuel S. P. Shen and published by Cambridge University Press. This book was released on 2019-09-19 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the core mathematics, statistics, and programming skills needed for modern climate science courses, with online teaching materials.
Book Synopsis Nonlinear Physical Oceanography by : Henk A. Dijkstra
Download or read book Nonlinear Physical Oceanography written by Henk A. Dijkstra and published by Springer Science & Business Media. This book was released on 2007-07-16 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: Taken from a review of the first edition in SIAM: "This text is different from most others in that it combines several different disciplines and draws on many scientific studies in order to deduce mechanisms of ocean circulation. (...) Therefore (it) cannot be substituted, and (...) it meets its unique goals with clarity and thoroughness".
Book Synopsis Introduction to Physical Oceanography by : Robert H. Stewart
Download or read book Introduction to Physical Oceanography written by Robert H. Stewart and published by Orange Grove Text Plus. This book was released on 2009-09 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written for college juniors and seniors and new graduate students in meteorology, ocean engineering, and oceanography. It begins with a brief overview of what is known about the ocean. This is followed by a description of the ocean basins, for the shape of the seas influences the physical processes in the water. Next, students will study the external forces, wind and heat, acting on the ocean, and the ocean's response. It also includes the equations describing dynamic response of the ocean. For example, the equations of motion, the influence of earth's rotation, and viscosity. Finally, students consider some particular examples: the deep circulation, the equatorial ocean and El NiE no, and the circulation of particular areas of the ocean. Contents: 1) A Voyage of Discovery. 2) The Historical Setting. 3) The Physical Setting. 4) Atmospheric Influences. 5) The Oceanic Heat Budget. 6) Temperature, Salinity and Density. 7) The Equations of Motion. 8) Equations of Motion with Viscosity. 9) Response of the Upper Ocean to Winds. 10) Geostrophic Currents. 11) Wind Driven Ocean Circulation. 12) Vorticity in the Ocean. 13) Deep Circulation in the Ocean. 14) Equatorial Processes. 15) Numerical Models. 16) Ocean Waves. 17) Coastal Processes and Tides."
