# Search Results for "numerical-partial-differential-equations-for-environmental-scientists-and-engineers"

## Numerical Partial Differential Equations for Environmental Scientists and Engineers

*A First Practical Course*

**Author**: Daniel R. Lynch**Publisher:**Springer Science & Business Media**ISBN:**0387236201**Category:**Science**Page:**388**View:**4222

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.

## Continuum Theory and Modeling of Thermoelectric Elements

**Author**: Christophe Goupil**Publisher:**John Wiley & Sons**ISBN:**3527687874**Category:**Science**Page:**360**View:**7779

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 Université de Paris, JPL, CalTech, and the German Aerospace Center.

## Sustainable Natural Resource Management

*For Scientists and Engineers*

**Author**: Daniel R. Lynch**Publisher:**Cambridge University Press**ISBN:**0521899729**Category:**Business & Economics**Page:**230**View:**6610

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.

## Particles in the Coastal Ocean

*Theory and Applications*

**Author**: Daniel R. Lynch,David A. Greenberg,Ata Bilgili,Dennis J. McGillicuddy, Jr,James P. Manning,Alfredo L. Aretxabaleta**Publisher:**Cambridge University Press**ISBN:**1316062511**Category:**Science**Page:**N.A**View:**4083

The coastal ocean comprises the semi-enclosed seas on the continental shelf, including estuaries and extending to the shelf break. This region is the focus of many serious concerns, including coastal inundation by tides, storm surges or sea level change; fisheries and aquaculture management; water quality; harmful algal blooms; planning of facilities (such as power stations); port development and maintenance; and oil spills. This book addresses modeling and simulation of the transport, evolution and fate of particles (physical and biological) in the coastal ocean. It is the first to summarize the state of the art in this field and direct it toward diverse applications, for example in measuring and monitoring sediment motion, oil spills and larval ecology. This is an invaluable textbook and reference work for advanced students and researchers in oceanography, geophysical fluid dynamics, marine and civil engineering, computational science and environmental science.

## Die Stratosphäre

*Phänomene, Geschichte, Relevanz*

**Author**: Karin Labitzke**Publisher:**Springer-Verlag**ISBN:**3642599893**Category:**Science**Page:**178**View:**490

In diesem Buch wird einerseits die spannende Entdeckung der Stratosphäre selbst und verschiedener unerwarteter Phänomene in der Stratosphäre beschrieben: ein bemannter Ballonflug im Jahr 1901 bis in 11 km Höhe; eine Expedition zum Victoriasee im Jahr 1908; die Entdeckung der Ozonschicht um 1930, des "Berliner Phänomens" im Jahr 1952, des Einflusses von Vulkaneruptionen im Jahr 1982, des Ozonlochs im Jahr 1985 und des Einflusses der Sonnenaktivität im Jahr 1987. Andererseits wird gezeigt, wie diese Erscheinungen miteinander verknüpft sind und wie sie anthropogene und natürliche Schwankungen in unserem Klimasystem verursachen. Am Beispiel der Stratosphäre soll das Buch zum Verständnis der Erforschung komplizierter Zusammenhänge in der Natur beitragen.

## Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations

**Author**: Collectif,**Publisher:**Springer Science & Business Media**ISBN:**9780387945422**Category:**Mathematics**Page:**450**View:**7267

This IMA Volume in Mathematics and its Applications MODELING, MESH GENERATION, AND ADAPTIVE NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS is based on the proceedings of the 1993 IMA Summer Program "Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations." We thank Ivo Babuska, Joseph E. Flaherty, William D. Hen shaw, John E. Hopcroft, Joseph E. Oliger, and Tayfun Tezduyar for orga nizing the workshop and editing the proceedings. We also take this oppor tunity to thank those agencies whose financial support made the summer program possible: the National Science Foundation (NSF), the Army Re search Office (ARO) the Department of Energy (DOE), the Minnesota Su percomputer Institute (MSI), and the Army High Performance Computing Research Center (AHPCRC). A vner Friedman Willard Miller, Jr. xiii PREFACE Mesh generation is one of the most time consuming aspects of com putational solutions of problems involving partial differential equations. It is, furthermore, no longer acceptable to compute solutions without proper verification that specified accuracy criteria are being satisfied. Mesh gen eration must be related to the solution through computable estimates of discretization errors. Thus, an iterative process of alternate mesh and so lution generation evolves in an adaptive manner with the end result that the solution is computed to prescribed specifications in an optimal, or at least efficient, manner. While mesh generation and adaptive strategies are becoming available, major computational challenges remain. One, in particular, involves moving boundaries and interfaces, such as free-surface flows and fluid-structure interactions.

## Numerical Methods for Solving Partial Differential Equations

*A Comprehensive Introduction for Scientists and Engineers*

**Author**: George F. Pinder**Publisher:**John Wiley & Sons**ISBN:**1119316383**Category:**Technology & Engineering**Page:**320**View:**2976

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.

## Numerical Solution of Partial Differential Equations in Science and Engineering

**Author**: Leon Lapidus,George F. Pinder**Publisher:**John Wiley & Sons**ISBN:**1118031210**Category:**Mathematics**Page:**677**View:**1096

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.

## Applied and Numerical Partial Differential Equations

*Scientific Computing in Simulation, Optimization and Control in a Multidisciplinary Context*

**Author**: W. Fitzgibbon,Y.A. Kuznetsov,Pekka Neittaanmäki,Jacques Périaux,Olivier Pironneau**Publisher:**Springer Science & Business Media**ISBN:**9048132398**Category:**Science**Page:**248**View:**8082

Standing at the intersection of mathematics and scientific computing, this collection of state-of-the-art papers in nonlinear PDEs examines their applications to subjects as diverse as dynamical systems, computational mechanics, and the mathematics of finance.

## Advanced Topics in Computational Partial Differential Equations

*Numerical Methods and Diffpack Programming*

**Author**: Hans Petter Langtangen,Aslak Tveito**Publisher:**Springer Science & Business Media**ISBN:**3642182372**Category:**Mathematics**Page:**663**View:**3298

A gentle introduction to advanced topics such as parallel computing, multigrid methods, and special methods for systems of PDEs. The goal of all chapters is to ‘compute’ solutions to problems, hence algorithmic and software issues play a central role. All software examples use the Diffpack programming environment - some experience with Diffpack is required. There are also some chapters covering complete applications, i.e., the way from a model, expressed as systems of PDEs, through to discretization methods, algorithms, software design, verification, and computational examples. Suitable for readers with a background in basic finite element and finite difference methods for partial differential equations.

## Numerische Behandlung partieller Differentialgleichungen

**Author**: Christian Großmann,Hans-Görg Roos**Publisher:**Springer-Verlag**ISBN:**9783519220893**Category:**Mathematics**Page:**572**View:**2486

Mathematiker, Naturwissenschaftler und Ingenieure erhalten mit diesem Lehrbuch eine Einführung in die numerische Behandlung partieller Differentialgleichungen. Diskutiert werden die grundlegenden Verfahren - Finite Differenzen, Finite Volumen und Finite Elemente - für die wesentlichen Typen partieller Differentialgleichungen: elliptische, parabolische und hyperbolische Gleichungen. Einbezogen werden auch moderne Methoden zur Lösung der diskreten Probleme. Hinweise auf aktuelle Software sowie zahlreiche Beispiele und Übungsaufgaben runden diese Einführung ab.

## Partielle Differentialgleichungen und numerische Methoden

**Author**: Stig Larsson,Vidar Thomee**Publisher:**Springer-Verlag**ISBN:**3540274227**Category:**Mathematics**Page:**272**View:**3897

Das Buch ist für Studenten der angewandten Mathematik und der Ingenieurwissenschaften auf Vordiplomniveau geeignet. Der Schwerpunkt liegt auf der Verbindung der Theorie linearer partieller Differentialgleichungen mit der Theorie finiter Differenzenverfahren und der Theorie der Methoden finiter Elemente. Für jede Klasse partieller Differentialgleichungen, d.h. elliptische, parabolische und hyperbolische, enthält der Text jeweils ein Kapitel zur mathematischen Theorie der Differentialgleichung gefolgt von einem Kapitel zu finiten Differenzenverfahren sowie einem zu Methoden der finiten Elemente. Den Kapiteln zu elliptischen Gleichungen geht ein Kapitel zum Zweipunkt-Randwertproblem für gewöhnliche Differentialgleichungen voran. Ebenso ist den Kapiteln zu zeitabhängigen Problemen ein Kapitel zum Anfangswertproblem für gewöhnliche Differentialgleichungen vorangestellt. Zudem gibt es ein Kapitel zum elliptischen Eigenwertproblem und zur Entwicklung nach Eigenfunktionen. Die Darstellung setzt keine tiefer gehenden Kenntnisse in Analysis und Funktionalanalysis voraus. Das erforderliche Grundwissen über lineare Funktionalanalysis und Sobolev-Räume wird im Anhang im Überblick besprochen.

## Scientific Computing and Differential Equations

*An Introduction to Numerical Methods*

**Author**: Gene H. Golub,James M. Ortega**Publisher:**Elsevier**ISBN:**0080516696**Category:**Mathematics**Page:**344**View:**5486

Scientific Computing and Differential Equations: An Introduction to Numerical Methods, is an excellent complement to Introduction to Numerical Methods by Ortega and Poole. The book emphasizes the importance of solving differential equations on a computer, which comprises a large part of what has come to be called scientific computing. It reviews modern scientific computing, outlines its applications, and places the subject in a larger context. This book is appropriate for upper undergraduate courses in mathematics, electrical engineering, and computer science; it is also well-suited to serve as a textbook for numerical differential equations courses at the graduate level. An introductory chapter gives an overview of scientific computing, indicating its important role in solving differential equations, and placing the subject in the larger environment Contains an introduction to numerical methods for both ordinary and partial differential equations Concentrates on ordinary differential equations, especially boundary-value problems Contains most of the main topics for a first course in numerical methods, and can serve as a text for this course Uses material for junior/senior level undergraduate courses in math and computer science plus material for numerical differential equations courses for engineering/science students at the graduate level

## Encyclopedia of environmental science and engineering

**Author**: James R. Pfafflin,Edward N. Ziegler**Publisher:**N.A**ISBN:**N.A**Category:**Technology & Engineering**Page:**1254**View:**6662

## Using R for Numerical Analysis in Science and Engineering

**Author**: Victor A. Bloomfield**Publisher:**CRC Press**ISBN:**1439884498**Category:**Mathematics**Page:**359**View:**7760

Instead of presenting the standard theoretical treatments that underlie the various numerical methods used by scientists and engineers, Using R for Numerical Analysis in Science and Engineering shows how to use R and its add-on packages to obtain numerical solutions to the complex mathematical problems commonly faced by scientists and engineers. This practical guide to the capabilities of R demonstrates Monte Carlo, stochastic, deterministic, and other numerical methods through an abundance of worked examples and code, covering the solution of systems of linear algebraic equations and nonlinear equations as well as ordinary differential equations and partial differential equations. It not only shows how to use R’s powerful graphic tools to construct the types of plots most useful in scientific and engineering work, but also: Explains how to statistically analyze and fit data to linear and nonlinear models Explores numerical differentiation, integration, and optimization Describes how to find eigenvalues and eigenfunctions Discusses interpolation and curve fitting Considers the analysis of time series Using R for Numerical Analysis in Science and Engineering provides a solid introduction to the most useful numerical methods for scientific and engineering data analysis using R.

## Advances in Environmental Science and Engineering

**Author**: Edward N. Ziegler**Publisher:**Routledge**ISBN:**9780677160702**Category:**Environmental protection**Page:**282**View:**9937

An examination of Russia's philosophical heritage. It extends from the Slavophiles to the philosophers of the Silver Age, from emigre religious thinkers to Losev and Bakhtin and assesses the meaning for Russian culture as a whole.

## Computational Partial Differential Equations

*Numerical Methods and Diffpack Programming*

**Author**: Hans Petter Langtangen**Publisher:**Springer Science & Business Media**ISBN:**9783540434160**Category:**Computers**Page:**862**View:**9128

This text teaches finite element methods and basic finite difference methods from a computational point of view. It emphasizes developing flexible computer programs using the numerical library Diffpack, which is detailed for problems including model equations in applied mathematics, heat transfer, elasticity, and viscous fluid flow. This edition offers new applications and projects, and all program examples are available on the Internet.

## McGraw-Hill Encyclopedia of Environmental Science & Engineering

**Author**: Sybil P. Parker,Robert A. Corbitt**Publisher:**McGraw-Hill Companies**ISBN:**N.A**Category:**Technology & Engineering**Page:**749**View:**2122

Discusses topics in such fields as meteorology, public health, geophysics, and oceanography

## Python Scripting for Computational Science

**Author**: Hans Petter Langtangen**Publisher:**Springer Science & Business Media**ISBN:**9783540435082**Category:**Computers**Page:**732**View:**1364

Scripting with Python makes you productive and increases the reliability of your scientific work. Here, the author teaches you how to develop tailored, flexible, and efficient working environments built from small programs (scripts) written in Python. The focus is on examples and applications of relevance to computational science: gluing existing applications and tools, e.g. for automating simulation, data analysis, and visualization; steering simulations and computational experiments; equipping programs with graphical user interfaces; making computational Web services; creating interactive interfaces with a Maple/Matlab-like syntax to numerical applications in C/C++ or Fortran; and building flexible object-oriented programming interfaces to existing C/C++ or Fortran libraries.

## Godunov Methods

*Theory and Applications ; [proceedings of an International Conference on Godunov Methods: Theory and Applications, Held October 18 - 22, 1999, in Oxford, UK ...]*

**Author**: E.F. Toro**Publisher:**Springer Science & Business Media**ISBN:**9780306466014**Category:**Computers**Page:**1077**View:**8750

This edited review book on Godunov methods contains 97 articles, all of which were presented at the international conference on Godunov Methods: Theory and Applications, held at Oxford, in October 1999, to commemorate the 70th birthday of the Russian mathematician Sergei K. Godunov. The central theme of this book is numerical methods for hyperbolic conservation laws following Godunov's key ideas contained in his celebrated paper of 1959. Hyperbolic conservation laws play a central role in mathematical modelling in several distinct disciplines of science and technology. Application areas include compressible, single (and multiple) fluid dynamics, shock waves, meteorology, elasticity, magnetohydrodynamics, relativity, and many others. The successes in the design and application of new and improved numerical methods of the Godunov type for hyperbolic conservation laws in the last twenty years have made a dramatic impact in these application areas. The 97 papers cover a very wide range of topics, such as design and analysis of numerical schemes, applications to compressible and incompressible fluid dynamics, multi-phase flows, combustion problems, astrophysics, environmental fluid dynamics, and detonation waves. This book will be a reference book on the subject of numerical methods for hyperbolic partial differential equations for many years to come. All contributions are self-contained but do contain a review element. There is a key paper by Peter Sweby in which a general overview of Godunov methods is given. This contribution is particularly suitable for beginners on the subject. This book is unique: it contains virtually everything concerned with Godunov-type methods for conservation laws. As such it will be of particular interest to academics (applied mathematicians, numerical analysts, engineers, environmental scientists, physicists, and astrophysicists) involved in research on numerical methods for partial differential equations; scientists and engineers concerned with new numerical methods and applications to scientific and engineering problems e.g., mechanical engineers, aeronautical engineers, meteorologists; and academics involved in teaching numerical methods for partial differential equations at the postgraduate level.