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The Mathematics Of Marine Modelling
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Book Synopsis The Mathematics of Marine Modelling by : Henk Schuttelaars
Download or read book The Mathematics of Marine Modelling written by Henk Schuttelaars and published by Springer Nature. This book was released on 2022-11-30 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past few decades, numerical simulation has become instrumental in understanding the dynamics of seas, coastal regions and estuaries. The decision makers rely more and more frequently on model results for the management of these regions. Some modellers are insufficiently aware of the theoretical underpinning of the simulation tools they are using. On the other hand, a number of applied mathematicians tend to view marine sciences as a domain in which they would like to use the tools they have a good command of. Bridging the gap between model users and applied mathematicians is the main objective of the present book. In this respect a vast number of issues in which mathematics plays a crucial role will be addressed.
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 Modelling Coastal And Marine Processes (2nd Edition) by : Phil Dyke
Download or read book Modelling Coastal And Marine Processes (2nd Edition) written by Phil Dyke and published by World Scientific Publishing Company. This book was released on 2016-02-05 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modelling is now an accepted part in the understanding, prediction and planning of environmental strategies. Perfect for undergraduate students and non-specialist readers, Modelling Coastal and Marine Processes (2nd Edition) offers an introduction into how coastal and marine models are constructed and used.The mathematics, statistics and numerical techniques used are explained in the first few chapters, making this book accessible to those without a high-level maths background. Later chapters cover modelling sea bed friction, tides, shallow sea dynamics, and ecosystem dynamics. Importantly, there is also a chapter on modelling the impact of climate change on coastal and near shore processes.New to this revised edition is a chapter on tides, tsunamis and the prediction of sea level, and additional material on the new application of the numerical techniques: flux corrected transport, finite volumes and adaptive grids to coastal and marine modelling.
Book Synopsis Age in marine modelling : mathematical properties of the equations by : R. Lewandowski
Download or read book Age in marine modelling : mathematical properties of the equations written by R. Lewandowski and published by . This book was released on 2001 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Aspects of Mathematical Modelling by : Roger J. Hosking
Download or read book Aspects of Mathematical Modelling written by Roger J. Hosking and published by Springer Science & Business Media. This book was released on 2008-03-02 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: The construction of mathematical models is an essential scientific activity. Mathematics is associated with developments in science and engineering, but more recently mathematical modelling has been used to investigate complex systems that arise in other fields. This book demonstrates the application of mathematics to research topics in ecology and environmental science, health and medicine, phylogenetics and neural networks, theoretical chemistry, economics and management.
Book Synopsis Numerical Modelling: Applications to Marine Systems by : J. Noye
Download or read book Numerical Modelling: Applications to Marine Systems written by J. Noye and published by Elsevier. This book was released on 1987-09-01 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: The thirteen papers presented in this book are based on talks given at the workshop on Numerical Modelling of Marine Systems held at the University of Adelaide, South Australia in February 1986. Several of the articles are a direct outcome of two special sessions held on modelling of Open Boundary Conditions and on the Transport of Pollutants. Other articles in the book cover topics such as numerical modelling of wind-driven flow in shallow seas, sediment transport in estuaries, internal tides and comparison of numerical methods for solving tidal and pollutant transport problems.
Book Synopsis Mathematics for Dynamic Modeling by : Edward Beltrami
Download or read book Mathematics for Dynamic Modeling written by Edward Beltrami and published by Academic Press. This book was released on 2014-05-10 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics for Dynamic Modeling provides an introduction to the mathematics of dynamical systems. This book presents the mathematical formulations in terms of linear and nonlinear differential equations. Organized into two parts encompassing nine chapters, this book begins with an overview of the notions of equilibrium and stability in differential equation modeling that occur in the guise of simple models in the plane. This text then focuses on nonlinear models in which the limiting behavior of orbits can be more complicated. Other chapters consider the problems that illustrate the concepts of equilibrium and stability, limit cycles, chaos, and bifurcation. This book discusses as well a variety of topics, including cusp catastrophes, strange attractors, and reaction–diffusion and shock phenomena. The final chapter deals with models that are based on the notion of optimization. This book is intended to be suitable for students in upper undergraduate and first-year graduate course in mathematical modeling.
Book Synopsis Mathematical Modelling in Marine Resources Management by : BELGIQUE. SANTE PUBLIQUE (MINISTERE)
Download or read book Mathematical Modelling in Marine Resources Management written by BELGIQUE. SANTE PUBLIQUE (MINISTERE) and published by . This book was released on 1982 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Mathematics of Models for Climatology and Environment by : Jesus I. Diaz
Download or read book The Mathematics of Models for Climatology and Environment written by Jesus I. Diaz and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the culmination of the NATO Advanced Study Institute on The Mathematics of Models for Climatology and Environment which was held at Puerto de la Cruz ,Tenerife, Spain during 11-21 January 1995. One of the main goals of the ASI was to establish a bridge between mathematical modellers on the one hand and physical oceanographers and climatologists on the other. The book is divided into fourth parts containing a total of 16 chapters: Parts I, II and III are devoted to general models and Part IV to models related to some local problems. Most of the mathematical models here considered involve systems of nonlinear partial differential equations. The mathemat ical treatment cover a large list of subjects: existence and uniqueness for well-possed problems, large time behaviour, stability, bifurcation,diagrams of equilibria, conditions for the occurrence of interfaces or free boundaries, numerical algorithms and its implementation, controllability of the problems, etc. I thank Jacques- Louis Lions and Cornelius Johannes van Duijn for their guidance and collaboration as co-directors of the AS!. I also thank J.F.Padial and G. Diaz for their help in the planning and conduct of the ASI as well as in the preparation of this book.
Book Synopsis Coastal and Shelf Sea Modelling by : Philip P. G. Dyke
Download or read book Coastal and Shelf Sea Modelling written by Philip P. G. Dyke and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the computing revolution, modelling has become the most important way in which we further our knowledge about how the sea moves and how the processes in the sea operate. The coast and the continental shelf are two of the most important areas of the sea to understand. Coastal and Shelf Sea Modelling is therefore very timely and important. In this text, modelling the processes that occur in the sea is motivated continually through real life examples. Sometimes these are incorporated naturally within the text, but there are also a number of case studies taken from the recent research literature. These will be particularly valuable to students as they are presented in a style more readily accessible than that found in a typical research journal. The motivation for modelling is care for the environment. The well publicised problem of global warming, the phenomenon of El Niño, more localised pollution scares caused by tanker accidents and even smaller scale coastal erosion caused by storms all provide motivation for modelling and all get coverage in this text. Particularly novel features of the book include a systematic treatment of the modelling process in a marine context, the inclusion of diffusion in some detail, ecosystems modelling and a brief foray into wave prediction. The final chapter provides the reader with the opportunity to do some modelling; there are many worked examples followed by exercises that readers can try themselves. All answers are provided. Throughout, the style is informal and the technicalities in term of mathematics are kept to a minimum. Coastal and Shelf Sea Modelling is particularly suitable for graduate marine and oceanographic modelling courses, but will also prove useful to coastal engineers and students at any level interested in the quantitative modelling of marine processes. It is stressed that only a minimal level of mathematics (first year calculus or less) is required; the style and content is introductory.
Book Synopsis Applied Turbulence Modelling in Marine Waters by : Hans Burchard
Download or read book Applied Turbulence Modelling in Marine Waters written by Hans Burchard and published by Springer. This book was released on 2007-08-15 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: The simulation of turbulent mixing processes in marine waters is one of the most pressing tasks in oceanography. It is rendered difficult by the various complex phenomena occurring in these waters like strong stratification, ex ternal and internal waves, wind generated turbulence, Langmuir circulation etc. The need for simulation methods is especially great in this area because the physical processes cannot be investigated in the laboratory. Tradition ally, empirical bulk type models were used in oceanography, which, however, cannot account for many of the complex physical phenomena occurring. In engineering, statistical turbulence models describing locally the turbulence mixing processes were introduced in the early seventies, such as the k E model which is still one of the most widely used models in Computational Fluid Dy namics. Soon after, turbulence models were applied more and more also in the atmospheric sciences, and here the k kL model of Mellor and Yamada became particularly popular. In oceanography, statistical turbulence mod els were introduced rather late, i. e. in the eighties, and mainly models were taken over from the fields mentioned above, with some adjustments to the problems occurring in marine waters. In the literature on turbulence model applications to oceanography problems controversial findings and claims are reported about the various models, creating also an uncertainty on how well the models work in marine water problems.
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 Mathematical Models in Biology by : Leah Edelstein-Keshet
Download or read book Mathematical Models in Biology written by Leah Edelstein-Keshet and published by SIAM. This book was released on 1988-01-01 with total page 629 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Models in Biology is an introductory book for readers interested in biological applications of mathematics and modeling in biology. A favorite in the mathematical biology community, it shows how relatively simple mathematics can be applied to a variety of models to draw interesting conclusions. Connections are made between diverse biological examples linked by common mathematical themes. A variety of discrete and continuous ordinary and partial differential equation models are explored. Although great advances have taken place in many of the topics covered, the simple lessons contained in this book are still important and informative. Audience: the book does not assume too much background knowledge--essentially some calculus and high-school algebra. It was originally written with third- and fourth-year undergraduate mathematical-biology majors in mind; however, it was picked up by beginning graduate students as well as researchers in math (and some in biology) who wanted to learn about this field.
Book Synopsis Application of Mathematical Modelling to the Marine Environment by : Jacques C.J. Nihoul
Download or read book Application of Mathematical Modelling to the Marine Environment written by Jacques C.J. Nihoul and published by . This book was released on 1993 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Coastal and Shelf Sea Modelling by : P. P. G. Dyke
Download or read book Coastal and Shelf Sea Modelling written by P. P. G. Dyke and published by Springer Science & Business Media. This book was released on 2001 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the computing revolution, modelling has become the most important way in which we further our knowledge about how the sea moves and how the processes in the sea operate. The coast and the continental shelf are two of the most important areas of the sea to understand. Coastal and Shelf Sea Modelling is therefore very timely and important. In this text, modelling the processes that occur in the sea is motivated continually through real life examples. Sometimes these are incorporated naturally within the text, but there are also a number of case studies taken from the recent research literature. These will be particularly valuable to students as they are presented in a style more readily accessible than that found in a typical research journal. The motivation for modelling is care for the environment. The well publicised problem of global warming, the phenomenon of El Niño, more localised pollution scares caused by tanker accidents and even smaller scale coastal erosion caused by storms all provide motivation for modelling and all get coverage in this text. Particularly novel features of the book include a systematic treatment of the modelling process in a marine context, the inclusion of diffusion in some detail, ecosystems modelling and a brief foray into wave prediction. The final chapter provides the reader with the opportunity to do some modelling; there are many worked examples followed by exercises that readers can try themselves. All answers are provided. Throughout, the style is informal and the technicalities in term of mathematics are kept to a minimum. Coastal and Shelf Sea Modelling is particularly suitable for graduate marine and oceanographic modelling courses, but will also prove useful to coastal engineers and students at any level interested in the quantitative modelling of marine processes. It is stressed that only a minimal level of mathematics (first year calculus or less) is required; the style and content is introductory.
Book Synopsis Inverse Modeling of the Ocean and Atmosphere by : Andrew F. Bennett
Download or read book Inverse Modeling of the Ocean and Atmosphere written by Andrew F. Bennett and published by Cambridge University Press. This book was released on 2005-10-20 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse Modeling of the Ocean and Atmosphere is a graduate-level book for students of oceanography and meteorology, and anyone interested in combining computer models and observations of the hydrosphere or solid earth. A step-by-step development of maximally efficient inversion algorithms, using ideal models, is complemented by computer codes and comprehensive details for realistic models. Variational tools and statistical concepts are concisely introduced, and applications to contemporary research models, together with elaborate observing systems, are examined in detail. The book offers a review of the various alternative approaches, and further advanced research topics are discussed. Derived from the author's lecture notes, this book constitutes an ideal course companion for graduate students, as well as being a valuable reference source for researchers and managers in theoretical earth science, civil engineering and applied mathematics.
Book Synopsis Marine Modeling V 6 by : Edward D. Goldberg
Download or read book Marine Modeling V 6 written by Edward D. Goldberg and published by Harvard University Press. This book was released on 1977-01-31 with total page 1072 pages. Available in PDF, EPUB and Kindle. Book excerpt:
