Numerical Time Dependent Partial Differential Equations for Scientists and Engineers Book

Numerical Time Dependent Partial Differential Equations for Scientists and Engineers


  • Author : Moysey Brio
  • Publisher : Academic Press
  • Release Date : 2010-09-21
  • Genre: Mathematics
  • Pages : 312
  • ISBN 10 : 0080917046
  • Total Read : 71
  • File Size : 5,8 Mb

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Numerical Time Dependent Partial Differential Equations for Scientists and Engineers Summary:

It is the first text that in addition to standard convergence theory treats other necessary ingredients for successful numerical simulations of physical systems encountered by every practitioner. The book is aimed at users with interests ranging from application modeling to numerical analysis and scientific software development. It is strongly influenced by the authors research in in space physics, electrical and optical engineering, applied mathematics, numerical analysis and professional software development. The material is based on a year-long graduate course taught at the University of Arizona since 1989. The book covers the first two-semesters of a three semester series. The second semester is based on a semester-long project, while the third semester requirement consists of a particular methods course in specific disciplines like computational fluid dynamics, finite element method in mechanical engineering, computational physics, biology, chemistry, photonics, etc. The first three chapters focus on basic properties of partial differential equations, including analysis of the dispersion relation, symmetries, particular solutions and instabilities of the PDEs; methods of discretization and convergence theory for initial value problems. The goal is to progress from observations of simple numerical artifacts like diffusion, damping, dispersion, and anisotropies to their analysis and management technique, as it is not always possible to completely eliminate them. In the second part of the book we cover topics for which there are only sporadic theoretical results, while they are an integral part and often the most important part for successful numerical simulation. We adopt a more heuristic and practical approach using numerical methods of investigation and validation. The aim is teach students subtle key issues in order to separate physics from numerics. The following topics are addressed: Implementation of transparent and absorbing boundary conditions; Practical

Continuum Theory and Modeling of Thermoelectric Elements Book

Continuum Theory and Modeling of Thermoelectric Elements


  • Author : Christophe Goupil
  • Publisher : John Wiley & Sons
  • Release Date : 2016-02-23
  • Genre: MATHEMATICS
  • Pages : 360
  • ISBN 10 : 9783527413379
  • Total Read : 69
  • File Size : 15,9 Mb

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Continuum Theory and Modeling of Thermoelectric Elements Summary:

This volume presents 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 a valuable tool for any application development.

Numerical Partial Differential Equations for Environmental Scientists and Engineers Book

Numerical Partial Differential Equations for Environmental Scientists and Engineers


  • Author : Daniel R. Lynch
  • Publisher : Springer Science & Business Media
  • Release Date : 2006-06-02
  • Genre: Science
  • Pages : 388
  • ISBN 10 : 9780387236209
  • Total Read : 92
  • File Size : 11,7 Mb

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Numerical Partial Differential Equations for Environmental Scientists and Engineers Summary:

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.

High dimensional Partial Differential Equations in Science and Engineering Book

High dimensional Partial Differential Equations in Science and Engineering


  • Author : André D. Bandrauk
  • Publisher : American Mathematical Soc.
  • Release Date : 2007-01-01
  • Genre: Mathematics
  • Pages : 194
  • ISBN 10 : 0821870378
  • Total Read : 65
  • File Size : 12,8 Mb

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High dimensional Partial Differential Equations in Science and Engineering Summary:

High-dimensional spatio-temporal partial differential equations are a major challenge to scientific computing of the future. Up to now deemed prohibitive, they have recently become manageable by combining recent developments in numerical techniques, appropriate computer implementations, and the use of computers with parallel and even massively parallel architectures. This opens new perspectives in many fields of applications. Kinetic plasma physics equations, the many body Schrodinger equation, Dirac and Maxwell equations for molecular electronic structures and nuclear dynamic computations, options pricing equations in mathematical finance, as well as Fokker-Planck and fluid dynamics equations for complex fluids, are examples of equations that can now be handled. The objective of this volume is to bring together contributions by experts of international stature in that broad spectrum of areas to confront their approaches and possibly bring out common problem formulations and research directions in the numerical solutions of high-dimensional partial differential equations in various fields of science and engineering with special emphasis on chemistry and physics. Information for our distributors: Titles in this series are co-published with the Centre de Recherches Mathematiques.

Numerical Solution of Partial Differential Equations in Science and Engineering Book
Score: 3
From 1 Ratings

Numerical Solution of Partial Differential Equations in Science and Engineering


  • Author : Leon Lapidus
  • Publisher : John Wiley & Sons
  • Release Date : 1982
  • Genre: Mathematics
  • Pages : 677
  • ISBN 10 : 0471098663
  • Total Read : 91
  • File Size : 18,5 Mb

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Numerical Solution of Partial Differential Equations in Science and Engineering Summary:

"This book was written to provide a text for graduate and undergraduate students who took our courses in numerical methods. It incorporates the essential elements of all the numerical methods currently used extensively in the solution of partial differential equations encountered regularly in science and engineering. Because our courses were typically populated by students from varied backgrounds and with diverse interests, we attempted to eliminate jargon or nomenclature that would render the work unintelligible to any student. Moreover, in response to student needs, we incorporated not only classical (and not so classical) finite-difference methods but also finite-element, collocation, and boundary-element procedures. After an introduction to the various numerical schemes, each equation type--parabolic, elliptic, and hyperbolic--is allocated a separate chapter. Within each of these chapters the material is presented by numerical method. Thus one can read the book either by equation-type or numerical approach."--Preface, page [v].

Implementing Spectral Methods for Partial Differential Equations Book
Score: 5
From 1 Ratings

Implementing Spectral Methods for Partial Differential Equations


  • Author : David A. Kopriva
  • Publisher : Springer Science & Business Media
  • Release Date : 2009-05-27
  • Genre: Mathematics
  • Pages : 397
  • ISBN 10 : 9789048122615
  • Total Read : 66
  • File Size : 5,5 Mb

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Implementing Spectral Methods for Partial Differential Equations Summary:

This book explains how to solve partial differential equations numerically using single and multidomain spectral methods. It shows how only a few fundamental algorithms form the building blocks of any spectral code, even for problems with complex geometries.

Drying Phenomena Book

Drying Phenomena


  • Author : Ibrahim Dincer
  • Publisher : John Wiley & Sons
  • Release Date : 2016-01-19
  • Genre: Science
  • Pages : 512
  • ISBN 10 : 9781119975861
  • Total Read : 86
  • File Size : 16,8 Mb

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Drying Phenomena Summary:

Comprehensively covers conventional and novel drying systems and applications, while keeping a focus on the fundamentals of drying phenomena. Presents detailed thermodynamic and heat/mass transfer analyses in a reader-friendly and easy-to-follow approach Includes case studies, illustrative examples and problems Presents experimental and computational approaches Includes comprehensive information identifying the roles of flow and heat transfer mechanisms on the drying phenomena Considers industrial applications, corresponding criterion, complications, prospects, etc. Discusses novel drying technologies, the corresponding research platforms and potential solutions

Numerical Methods for Solving Partial Differential Equations Book

Numerical Methods for Solving Partial Differential Equations


  • Author : George F. Pinder
  • Publisher : John Wiley & Sons
  • Release Date : 2018-02-05
  • Genre: Technology & Engineering
  • Pages : 320
  • ISBN 10 : 9781119316381
  • Total Read : 59
  • File Size : 14,6 Mb

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Numerical Methods for Solving Partial Differential Equations Summary:

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 undergraduat