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Author: Henk Schuttelaars
Publisher: Springer Nature
ISBN: 3031095596
Category : Mathematics
Languages : en
Pages : 324
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Book Description
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.
Author: Henk Schuttelaars
Publisher: Springer Nature
ISBN: 3031095596
Category : Mathematics
Languages : en
Pages : 324
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Book Description
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.
Author: Phil Dyke
Publisher: World Scientific Publishing Company
ISBN: 1783267720
Category : Science
Languages : en
Pages : 615
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Book Description
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.
Author: David M. Glover
Publisher: Cambridge University Press
ISBN: 1139500716
Category : Science
Languages : en
Pages : 589
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Book Description
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.
Author: R. Lewandowski
Publisher:
ISBN:
Category :
Languages : en
Pages : 7
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Book Description
Author: W. Fennel
Publisher: Elsevier
ISBN: 008053497X
Category : Science
Languages : en
Pages : 308
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Book Description
Modelling of marine ecosystems is a rapidly developing branch of interdisciplinary oceanographic research. Introduction to the Modelling of Marine Ecosystems is the first consistent and comprehensive introduction to the development of models of marine ecosystems. It begins with simple first steps of modelling and develops more and more complex models. This step-by-step approach to increasing the complexity of the models is intended to allow students of biological oceanography and interested scientists with only limited experience in mathematical modelling to explore the theoretical framework and familiarize oneself with the methods. The book describes how biological model components can be integrated into three dimensional circulation models and how such models can be used for 'numerical experiments'. The book illustrates the mathematical aspects of modelling and gives application examples. The tutorial aspect of the book is supported by a set of MATLAB programs, which are provided on an accompanying CD-Rom and which can be used to reproduce many of the results presented in the book. Also available in paperback, ISBN 0-444-51704-9
Author: Roger J. Hosking
Publisher: Springer Science & Business Media
ISBN: 376438591X
Category : Mathematics
Languages : en
Pages : 373
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Book Description
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.
Author: J.C.J. Nihoul
Publisher: Elsevier
ISBN: 0080870465
Category : Science
Languages : en
Pages : 293
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Book Description
Modelling of Marine Systems
Author: Edward Beltrami
Publisher: Academic Press
ISBN: 1483267865
Category : Technology & Engineering
Languages : en
Pages : 294
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Book Description
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.
Author: J. Noye
Publisher: Elsevier
ISBN: 0080872565
Category : Mathematics
Languages : en
Pages : 309
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Book Description
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.
Author: Guriĭ Ivanovich Marchuk
Publisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 320
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Book Description
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.
