Numerical Partial Differential Equations For Environmental Scientists And Engineers

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Numerical Partial Differential Equations for Environmental Scientists and Engineers

Daniel R. Lynch

Author : Daniel R. Lynch
Publisher : Springer Science & Business Media
Page : 390 pages
File Size : 53,5 Mb
Release : 2006-06-02
Category : Science
ISBN : 9780387236209

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Numerical Partial Differential Equations for Environmental Scientists and Engineers by Daniel R. Lynch Pdf

For readers with some competence in PDE solution properties, this book offers an interdisciplinary approach to problems occurring in natural environmental media: the hydrosphere, atmosphere, cryosphere, lithosphere, biosphere and ionosphere. It presents two major discretization methods: Finite Difference and Finite Element, plus a section on practical approaches to ill-posed problems. The blend of theory, analysis, and implementation practicality supports solving and understanding complicated problems.

Introduction to Mathematical Methods for Environmental Engineers and Scientists

Charles Prochaska,Louis Theodore

Author : Charles Prochaska,Louis Theodore
Publisher : John Wiley & Sons
Page : 498 pages
File Size : 43,5 Mb
Release : 2018-05-31
Category : Science
ISBN : 9781119364146

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Introduction to Mathematical Methods for Environmental Engineers and Scientists by Charles Prochaska,Louis Theodore Pdf

The material in this book attempts to address mathematical calculations common to both the environmental science and engineering professionals. The book provides the reader with nearly 100 solved illustrative examples. The interrelationship between both theory and applications is emphasized in nearly all of the 35 chapters. One key feature of this book is that the solutions to the problems are presented in a stand-alone manner. Throughout the book, the illustrative examples are laid out in such a way as to develop the reader’s technical understanding of the subject in question, with more difficult examples located at or near the end of each set. In presenting the text material, the authors have stressed the pragmatic approach in the application of mathematical tools to assist the reader in grasping the role of mathematical skills in environmental problem-solving situations. The book is divided up into five (V) parts: Introduction Analytical Analysis Numerical Analysis Statistical Analysis Optimization

Numerical Methods for Solving Partial Differential Equations

George F. Pinder

Author : George F. Pinder
Publisher : John Wiley & Sons
Page : 304 pages
File Size : 51,6 Mb
Release : 2018-01-11
Category : Technology & Engineering
ISBN : 9781119316114

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Numerical Methods for Solving Partial Differential Equations by George F. Pinder Pdf

A comprehensive guide to numerical methods for simulating physical-chemical systems This book offers a systematic, highly accessible presentation of numerical methods used to simulate the behavior of physical-chemical systems. Unlike most books on the subject, it focuses on methodology rather than specific applications. Written for students and professionals across an array of scientific and engineering disciplines and with varying levels of experience with applied mathematics, it provides comprehensive descriptions of numerical methods without requiring an advanced mathematical background. Based on its author’s more than forty years of experience teaching numerical methods to engineering students, Numerical Methods for Solving Partial Differential Equations presents the fundamentals of all of the commonly used numerical methods for solving differential equations at a level appropriate for advanced undergraduates and first-year graduate students in science and engineering. Throughout, elementary examples show how numerical methods are used to solve generic versions of equations that arise in many scientific and engineering disciplines. In writing it, the author took pains to ensure that no assumptions were made about the background discipline of the reader. Covers the spectrum of numerical methods that are used to simulate the behavior of physical-chemical systems that occur in science and engineering Written by a professor of engineering with more than forty years of experience teaching numerical methods to engineers Requires only elementary knowledge of differential equations and matrix algebra to master the material Designed to teach students to understand, appreciate and apply the basic mathematics and equations on which Mathcad and similar commercial software packages are based Comprehensive yet accessible to readers with limited mathematical knowledge, Numerical Methods for Solving Partial Differential Equations is an excellent text for advanced undergraduates and first-year graduate students in the sciences and engineering. It is also a valuable working reference for professionals in engineering, physics, chemistry, computer science, and applied mathematics.

Introduction to Applied Mathematics for Environmental Science

David F. Parkhurst

Author : David F. Parkhurst
Publisher : Springer Science & Business Media
Page : 326 pages
File Size : 40,6 Mb
Release : 2007-12-06
Category : Science
ISBN : 9780387342283

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Introduction to Applied Mathematics for Environmental Science by David F. Parkhurst Pdf

This book teaches mathematical structures and how they can be applied in environmental science. Each chapter presents story problems with an emphasis on derivation. For each of these, the discussion follows the pattern of first presenting an example of a type of structure as applied to environmental science. The definition of the structure is presented, followed by additional examples using MATLAB, and analytic methods of solving and learning from the structure.

Sustainable Natural Resource Management

Daniel R. Lynch

Author : Daniel R. Lynch
Publisher : Cambridge University Press
Page : 231 pages
File Size : 43,8 Mb
Release : 2009-03-02
Category : Nature
ISBN : 9781139479301

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Sustainable Natural Resource Management by Daniel R. Lynch Pdf

Natural resources support all human productivity. The sustainable management of natural resources is among the preeminent problems of the current century. Sustainability and the implied professional responsibility start here. This book uses applied mathematics familiar to undergraduate engineers and scientists to examine natural resource management and its role in framing sustainability. Renewable and nonrenewable resources are covered, along with living and sterile resources. Examples and applications are drawn from petroleum, fisheries, and water resources. Each chapter contains problems illustrating the material. Simple programs in commonly available packages (Excel, MATLAB) support the text. The material is a natural prelude to more advanced study in ecology, conservation, and population dynamics, as well as engineering and science. The mathematical description is kept within what an undergraduate student in the sciences or engineering would normally be expected to master for natural systems. The purpose is to allow students to confront natural resource problems early in their preparation.

Continuum Theory and Modeling of Thermoelectric Elements

Christophe Goupil

Author : Christophe Goupil
Publisher : John Wiley & Sons
Page : 362 pages
File Size : 50,8 Mb
Release : 2016-02-23
Category : Science
ISBN : 9783527413379

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Continuum Theory and Modeling of Thermoelectric Elements by Christophe Goupil Pdf

Sound knowledge of the latest research results in the thermodynamics and design of thermoelectric devices, providing a solid foundation for thermoelectric element and module design in the technical development process and thus serving as an indispensable tool for any application development. The text is aimed mainly at the project developer in the field of thermoelectric technology, both in academia and industry, as well as at graduate and advanced undergraduate students. Some core sections address the specialist in the field of thermoelectric energy conversion, providing detailed discussion of key points with regard to optimization. The international team of authors with experience in thermoelectrics research represents such institutes as EnsiCaen Universite de Paris, JPL, CalTech, and the German Aerospace Center.

Environmental Studies

Mary F. Wheeler

Author : Mary F. Wheeler
Publisher : Springer Science & Business Media
Page : 406 pages
File Size : 48,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461384922

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Environmental Studies by Mary F. Wheeler Pdf

Environmental protection has become a universal issue with world-wide support. Environmental studies have now bridged the realms of academic research and societal applications. Mathematical modeling and large-scale data collection and analysis lie at the core of all environmental studies. Unfortunately, scientists, mathematicians, and engineers immersed in developing and applying environmental models, computational methods, statistical techniques and computational hardware advance with separate and often discordant paces. The volume is based on recent research designed to provide a much needed interdisciplinary forum for joint exploration of recent advances in this field.

Computational and Numerical Challenges in Environmental Modelling

Zahari Zlatev,Ivan Dimov

Author : Zahari Zlatev,Ivan Dimov
Publisher : Elsevier
Page : 392 pages
File Size : 49,6 Mb
Release : 2006-05-02
Category : Mathematics
ISBN : 0080462480

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Computational and Numerical Challenges in Environmental Modelling by Zahari Zlatev,Ivan Dimov Pdf

Many large mathematical models, not only models arising and used in environmental studies, are described by systems of partial differential equations. The discretization of the spatial derivatives in such models leads to the solution of very large systems of ordinary differential equations. These systems contain many millions of equations and have to be handled over large time intervals by applying many time-steps (up to several hundred thousand time-steps). Furthermore, many scenarios are as a rule to be run. This explains the fact that the computational tasks in this situation are enormous. Therefore, it is necessary to select fast numerical methods; to develop parallel codes and, what is most important when the problems solved are very large to organize the computational process in a proper way. The last item (which is very often underestimated but, let us re-iterate, which is very important) is the major topic of this book. In fact, the proper organization of the computational process can be viewed as a preparation of templates which can be used with different numerical methods and different parallel devices. The development of such templates is described in the book. It is also demonstrated that many comprehensive environmental studies can successfully be carried out when the computations are correctly organized. Thus, this book will help the reader to understand better that, while (a) it is very important to select fast numerical methods as well as (b) it is very important to develop parallel codes, this will not be sufficient when the problems solved are really very large. In the latter case, it is also crucial to exploit better the computer architecture by organizing properly the computational process. Use of templates in connection with the treatment of very large models Performance of comprehensive environmental studies Obtaining reliable and robust information about pollution levels Studying the impact of future climatic changes on high pollution levels Investigating trends related to critical levels of pollution

Environmental Modeling

Ekkehard Holzbecher

Author : Ekkehard Holzbecher
Publisher : Springer Science & Business Media
Page : 410 pages
File Size : 49,7 Mb
Release : 2012-01-10
Category : Science
ISBN : 9783642220425

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Environmental Modeling by Ekkehard Holzbecher Pdf

The book has two aims: to introduce basic concepts of environmental modelling and to facilitate the application of the concepts using modern numerical tools such as MATLAB. It is targeted at all natural scientists dealing with the environment: process and chemical engineers, physicists, chemists, biologists, biochemists, hydrogeologists, geochemists and ecologists. MATLAB was chosen as the major computer tool for modeling, firstly because it is unique in it's capabilities, and secondly because it is available in most academic institutions, in all universities and in the research departments of many companies. In the 2nd edition many chapters will include updated and extended material. In addition the MATLAB command index will be updated and a new chapter on numerical methods will be added. For the second edition of 'Environmental Modeling' the first edition was completely revised. Text and figures were adapted to the recent MATLAB® version. Several chapters were extended. Correspondingly the index of MATLAB commands was extended considerably, which makes the book even more suitable to be used as a reference work by novices. Finally an introduction into numerical methods was added as a new chapter. “/p>

Mathematical Modelling and Numerical Simulation of Oil Pollution Problems

Matthias Ehrhardt

Author : Matthias Ehrhardt
Publisher : Springer
Page : 166 pages
File Size : 45,5 Mb
Release : 2015-03-10
Category : Computers
ISBN : 9783319164595

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Mathematical Modelling and Numerical Simulation of Oil Pollution Problems by Matthias Ehrhardt Pdf

Written by outstanding experts in the fields of marine engineering, atmospheric physics and chemistry, fluid dynamics and applied mathematics, the contributions in this book cover a wide range of subjects, from pure mathematics to real-world applications in the oil spill engineering business. Offering a truly interdisciplinary approach, the authors present both mathematical models and state-of-the-art numerical methods for adequately solving the partial differential equations involved, as well as highly practical experiments involving actual cases of ocean oil pollution. It is indispensable that different disciplines of mathematics, like analysis and numerics, together with physics, biology, fluid dynamics, environmental engineering and marine science, join forces to solve today’s oil pollution problems. The book will be of great interest to researchers and graduate students in the environmental sciences, mathematics and physics, showing the broad range of techniques needed in order to solve these pollution problems; and to practitioners working in the oil spill pollution industry, offering them a professional reference resource.

Next Generation Environmental Models and Computational Methods

George Delic,Mary Fanett Wheeler

Author : George Delic,Mary Fanett Wheeler
Publisher : SIAM
Page : 394 pages
File Size : 45,6 Mb
Release : 1997-01-01
Category : Technology & Engineering
ISBN : 0898713781

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Next Generation Environmental Models and Computational Methods by George Delic,Mary Fanett Wheeler Pdf

Large-scale changes are taking place in the way modelling is performed within the US EPA, and a new generation of environmental models is currently under construction. The US EPA is engaging in several modelling efforts in response to Congressional mandates such as the Clean Air Act and the Clean Water Act. These mandates require the scientific modelling of the impact of pollutants on human health and the environment. The complexity of scale in environmental models has increased by several orders of magnitude, with a simultaneous demand for increased stability, accuracy and efficiency in the computed model solution. This book showcases numerical algorithms appropriate to the subject areas listed below and explores how new algorithmic methods would benefit the US EPA's environmental models and other environmental studies.

Numerical Solution of Partial Differential Equations in Science and Engineering

Leon Lapidus,George F. Pinder

Author : Leon Lapidus,George F. Pinder
Publisher : John Wiley & Sons
Page : 677 pages
File Size : 46,9 Mb
Release : 2011-02-14
Category : Mathematics
ISBN : 9781118031216

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Numerical Solution of Partial Differential Equations in Science and Engineering by Leon Lapidus,George F. Pinder Pdf

From the reviews of Numerical Solution of PartialDifferential Equations in Science and Engineering: "The book by Lapidus and Pinder is a very comprehensive, evenexhaustive, survey of the subject . . . [It] is unique in that itcovers equally finite difference and finite element methods." Burrelle's "The authors have selected an elementary (but not simplistic)mode of presentation. Many different computational schemes aredescribed in great detail . . . Numerous practical examples andapplications are described from beginning to the end, often withcalculated results given." Mathematics of Computing "This volume . . . devotes its considerable number of pages tolucid developments of the methods [for solving partial differentialequations] . . . the writing is very polished and I found it apleasure to read!" Mathematics of Computation Of related interest . . . NUMERICAL ANALYSIS FOR APPLIED SCIENCE Myron B. Allen andEli L. Isaacson. A modern, practical look at numerical analysis,this book guides readers through a broad selection of numericalmethods, implementation, and basic theoretical results, with anemphasis on methods used in scientific computation involvingdifferential equations. 1997 (0-471-55266-6) 512 pp. APPLIED MATHEMATICS Second Edition, J. David Logan.Presenting an easily accessible treatment of mathematical methodsfor scientists and engineers, this acclaimed work covers fluidmechanics and calculus of variations as well as more modernmethods-dimensional analysis and scaling, nonlinear wavepropagation, bifurcation, and singular perturbation. 1996(0-471-16513-1) 496 pp.

Numerical Methods for Partial Differential Equations

William F. Ames

Author : William F. Ames
Publisher : Academic Press
Page : 380 pages
File Size : 42,6 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483262420

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Numerical Methods for Partial Differential Equations by William F. Ames Pdf

Numerical Methods for Partial Differential Equations, Second Edition deals with the use of numerical methods to solve partial differential equations. In addition to numerical fluid mechanics, hopscotch and other explicit-implicit methods are also considered, along with Monte Carlo techniques, lines, fast Fourier transform, and fractional steps methods. Comprised of six chapters, this volume begins with an introduction to numerical calculation, paying particular attention to the classification of equations and physical problems, asymptotics, discrete methods, and dimensionless forms. Subsequent chapters focus on parabolic and hyperbolic equations, elliptic equations, and special topics ranging from singularities and shocks to Navier-Stokes equations and Monte Carlo methods. The final chapter discuss the general concepts of weighted residuals, with emphasis on orthogonal collocation and the Bubnov-Galerkin method. The latter procedure is used to introduce finite elements. This book should be a valuable resource for students and practitioners in the fields of computer science and applied mathematics.

Advanced Numerical Methods for Complex Environmental Models: Needs and Availability

István Faragó,Ágnes Havasi,Zahari Zlatev

Author : István Faragó,Ágnes Havasi,Zahari Zlatev
Publisher : Bentham Science Publishers
Page : 437 pages
File Size : 45,7 Mb
Release : 2013-12-10
Category : Nature
ISBN : 9781608057788

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Advanced Numerical Methods for Complex Environmental Models: Needs and Availability by István Faragó,Ágnes Havasi,Zahari Zlatev Pdf

High air pollution levels pose a significant threat to plants, animals and human beings. Efforts by researchers are directed towards keeping air pollution levels below well defined ‘critical‘ levels in order to maintain a sustainable atmosphere and environmental system. The application of advanced mathematical models is important for researchers to achieve this goal as efficiently as possible. Mathematical models can be used to predict answers to many important questions about the environment. This application comes with several complex theoretical and practical obstacles which need to be resolved. A successfully applicable mathematical model needs to enable researchers to • Mathematically describe all important physical and chemical processes. • Apply fast and sufficiently accurate numerical methods. • Ensure that the model runs efficiently on modern high speed computers. • Use high quality input data, both meteorological data and emission inventories, in the runs. • Verify the model results by comparing them with reliable measurements taken in different parts of the spatial domain of the model. • Carry out long series of sensitivity experiments to check the response of the model to changes of different key parameters. • Visualize and animate the output results in order to make them easily understandable even to non-specialists. This monograph thoroughly describes mathematical methods useful for various situations in environmental modeling - including finite difference methods, splitting methods, parallel computation, etc. - and provides a framework for resolving problems posed in relation to the points listed above. Chapters are written by well-known specialists making this book a handy reference for researchers, university teachers and students working and studying in the areas of air pollution, meteorology, applied mathematics and computer science.

Particles in the Coastal Ocean

Daniel R. Lynch,David A. Greenberg,Ata Bilgili,Dennis J. McGillicuddy, Jr,James P. Manning,Alfredo L. Aretxabaleta

Author : Daniel R. Lynch,David A. Greenberg,Ata Bilgili,Dennis J. McGillicuddy, Jr,James P. Manning,Alfredo L. Aretxabaleta
Publisher : Cambridge University Press
Page : 545 pages
File Size : 41,5 Mb
Release : 2015
Category : Science
ISBN : 9781107061750

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Particles in the Coastal Ocean by Daniel R. Lynch,David A. Greenberg,Ata Bilgili,Dennis J. McGillicuddy, Jr,James P. Manning,Alfredo L. Aretxabaleta Pdf

This book summarizes the modeling of the transport, evolution and fate of particles in the coastal ocean for advanced students and researchers.

Numerical Partial Differential Equations For Environmental Scientists And Engineers

Numerical Partial Differential Equations for Environmental Scientists and Engineers by Daniel R. Lynch Pdf

Introduction to Mathematical Methods for Environmental Engineers and Scientists by Charles Prochaska,Louis Theodore Pdf

Numerical Methods for Solving Partial Differential Equations by George F. Pinder Pdf

Introduction to Applied Mathematics for Environmental Science by David F. Parkhurst Pdf

Sustainable Natural Resource Management by Daniel R. Lynch Pdf

Continuum Theory and Modeling of Thermoelectric Elements by Christophe Goupil Pdf

Environmental Studies by Mary F. Wheeler Pdf

Computational and Numerical Challenges in Environmental Modelling by Zahari Zlatev,Ivan Dimov Pdf

Environmental Modeling by Ekkehard Holzbecher Pdf

Mathematical Modelling and Numerical Simulation of Oil Pollution Problems by Matthias Ehrhardt Pdf

Next Generation Environmental Models and Computational Methods by George Delic,Mary Fanett Wheeler Pdf

Numerical Solution of Partial Differential Equations in Science and Engineering by Leon Lapidus,George F. Pinder Pdf

Numerical Methods for Partial Differential Equations by William F. Ames Pdf

Advanced Numerical Methods for Complex Environmental Models: Needs and Availability by István Faragó,Ágnes Havasi,Zahari Zlatev Pdf

Particles in the Coastal Ocean by Daniel R. Lynch,David A. Greenberg,Ata Bilgili,Dennis J. McGillicuddy, Jr,James P. Manning,Alfredo L. Aretxabaleta Pdf

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