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Truncation Errors In Numerical Solutions Of The Transport Equation
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Book Synopsis Solving Hyperbolic Equations with Finite Volume Methods by : M. Elena Vázquez-Cendón
Download or read book Solving Hyperbolic Equations with Finite Volume Methods written by M. Elena Vázquez-Cendón and published by Springer. This book was released on 2015-04-16 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite volume methods are used in numerous applications and by a broad multidisciplinary scientific community. The book communicates this important tool to students, researchers in training and academics involved in the training of students in different science and technology fields. The selection of content is based on the author’s experience giving PhD and master courses in different universities. In the book the introduction of new concepts and numerical methods go together with simple exercises, examples and applications that contribute to reinforce them. In addition, some of them involve the execution of MATLAB codes. The author promotes an understanding of common terminology with a balance between mathematical rigor and physical intuition that characterizes the origin of the methods. This book aims to be a first contact with finite volume methods. Once readers have studied it, they will be able to follow more specific bibliographical references and use commercial programs or open source software within the framework of Computational Fluid Dynamics (CFD).
Book Synopsis Verification and Validation in Scientific Computing by : William L. Oberkampf
Download or read book Verification and Validation in Scientific Computing written by William L. Oberkampf and published by Cambridge University Press. This book was released on 2010-10-14 with total page 782 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in scientific computing have made modelling and simulation an important part of the decision-making process in engineering, science, and public policy. This book provides a comprehensive and systematic development of the basic concepts, principles, and procedures for verification and validation of models and simulations. The emphasis is placed on models that are described by partial differential and integral equations and the simulations that result from their numerical solution. The methods described can be applied to a wide range of technical fields, from the physical sciences, engineering and technology and industry, through to environmental regulations and safety, product and plant safety, financial investing, and governmental regulations. This book will be genuinely welcomed by researchers, practitioners, and decision makers in a broad range of fields, who seek to improve the credibility and reliability of simulation results. It will also be appropriate either for university courses or for independent study.
Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1976 with total page 1288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis U.S. Government Research Reports by :
Download or read book U.S. Government Research Reports written by and published by . This book was released on 1962 with total page 1170 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Problems in Finite Element Methods by : Aref Jeribi
Download or read book Problems in Finite Element Methods written by Aref Jeribi and published by Springer Nature. This book was released on with total page 763 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical Methods for Partial Differential Equations by : Vitoriano Ruas
Download or read book Numerical Methods for Partial Differential Equations written by Vitoriano Ruas and published by John Wiley & Sons. This book was released on 2016-08-22 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Methods for Partial Differential Equations: An Introduction Vitoriano Ruas, Sorbonne Universités, UPMC - Université Paris 6, France A comprehensive overview of techniques for the computational solution of PDE's Numerical Methods for Partial Differential Equations: An Introduction covers the three most popular methods for solving partial differential equations: the finite difference method, the finite element method and the finite volume method. The book combines clear descriptions of the three methods, their reliability, and practical implementation aspects. Justifications for why numerical methods for the main classes of PDE's work or not, or how well they work, are supplied and exemplified. Aimed primarily at students of Engineering, Mathematics, Computer Science, Physics and Chemistry among others this book offers a substantial insight into the principles numerical methods in this class of problems are based upon. The book can also be used as a reference for research work on numerical methods for PDE’s. Key features: A balanced emphasis is given to both practical considerations and a rigorous mathematical treatment The reliability analyses for the three methods are carried out in a unified framework and in a structured and visible manner, for the basic types of PDE's Special attention is given to low order methods, as practitioner's overwhelming default options for everyday use New techniques are employed to derive known results, thereby simplifying their proof Supplementary material is available from a companion website.
Book Synopsis Computing Qualitatively Correct Approximations of Balance Laws by : Laurent Gosse
Download or read book Computing Qualitatively Correct Approximations of Balance Laws written by Laurent Gosse and published by Springer Science & Business Media. This book was released on 2013-03-30 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Substantial effort has been drawn for years onto the development of (possibly high-order) numerical techniques for the scalar homogeneous conservation law, an equation which is strongly dissipative in L1 thanks to shock wave formation. Such a dissipation property is generally lost when considering hyperbolic systems of conservation laws, or simply inhomogeneous scalar balance laws involving accretive or space-dependent source terms, because of complex wave interactions. An overall weaker dissipation can reveal intrinsic numerical weaknesses through specific nonlinear mechanisms: Hugoniot curves being deformed by local averaging steps in Godunov-type schemes, low-order errors propagating along expanding characteristics after having hit a discontinuity, exponential amplification of truncation errors in the presence of accretive source terms... This book aims at presenting rigorous derivations of different, sometimes called well-balanced, numerical schemes which succeed in reconciling high accuracy with a stronger robustness even in the aforementioned accretive contexts. It is divided into two parts: one dealing with hyperbolic systems of balance laws, such as arising from quasi-one dimensional nozzle flow computations, multiphase WKB approximation of linear Schrödinger equations, or gravitational Navier-Stokes systems. Stability results for viscosity solutions of onedimensional balance laws are sketched. The other being entirely devoted to the treatment of weakly nonlinear kinetic equations in the discrete ordinate approximation, such as the ones of radiative transfer, chemotaxis dynamics, semiconductor conduction, spray dynamics or linearized Boltzmann models. “Caseology” is one of the main techniques used in these derivations. Lagrangian techniques for filtration equations are evoked too. Two-dimensional methods are studied in the context of non-degenerate semiconductor models.
Book Synopsis Numerical Solution of Ordinary and Partial Differential Equations by : L. Fox
Download or read book Numerical Solution of Ordinary and Partial Differential Equations written by L. Fox and published by Elsevier. This book was released on 2014-05-15 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Solution of Ordinary and Partial Differential Equations is based on a summer school held in Oxford in August-September 1961. The book is organized into four parts. The first three cover the numerical solution of ordinary differential equations, integral equations, and partial differential equations of quasi-linear form. Most of the techniques are evaluated from the standpoints of accuracy, convergence, and stability (in the various senses of these terms) as well as ease of coding and convenience of machine computation. The last part, on practical problems, uses and develops the techniques for the treatment of problems of the greatest difficulty and complexity, which tax not only the best machines but also the best brains. This book was written for scientists who have problems to solve, and who want to know what methods exist, why and in what circumstances some are better than others, and how to adapt and develop techniques for new problems. The budding numerical analyst should also benefit from this book, and should find some topics for valuable research. The first three parts, in fact, could be used not only by practical men but also by students, though a preliminary elementary course would assist the reading.
Book Synopsis Environmental Processes and Management by : Raj Mohan Singh
Download or read book Environmental Processes and Management written by Raj Mohan Singh and published by Springer Nature. This book was released on 2020-02-17 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an in-depth, science-based approach to applying key project-management and spatial tools and practices in environmental projects. Providing important data for those considering projects that balance social-economic growth against minimizing its ill-effects on planet Earth, the book discusses various aspects of environmental engineering, as well as formula and analytical approaches required for more informed decision-making. Beginning with a broad overview of the factors and features of environmental processes and management, the book then clearly details the general application of fundamental processes, the characteristics of the different systems in which they occur, and the way in which these factors influence process dynamics, environmental systems, and their possible remedies. While primarily intended for professionals responsible for the management of environmental projects or interested in improving the overall efficiency of such projects, it is also useful for managers in the private, public, and not-for-profit sectors. Further, it is a valuable resource for students at both undergraduate and postgraduate levels, and an indispensable guide for anyone wanting to develop their skills in modern environmental management and related techniques.
Book Synopsis Chemical Reactor Modeling by : Hugo A. Jakobsen
Download or read book Chemical Reactor Modeling written by Hugo A. Jakobsen and published by Springer Science & Business Media. This book was released on 2008-10-15 with total page 1244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book closes the gap between Chemical Reaction Engineering and Fluid Mechanics. It provides the basic theory for momentum, heat and mass transfer in reactive systems. Numerical methods for solving the resulting equations as well as the interplay between physical and numerical modes are discussed. The book is written using the standard terminology of this community. It is intended for researchers and engineers who want to develop their own codes, or who are interested in a deeper insight into commercial CFD codes in order to derive consistent extensions and to overcome "black box" practice. It can also serve as a textbook and reference book.
Book Synopsis Contamination of Groundwaters by : Domy C. Adriano
Download or read book Contamination of Groundwaters written by Domy C. Adriano and published by CRC Press. This book was released on 2020-11-25 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: International experts have contributed key chapters to this major work on groundwater contamination. Section 1: Methodology and Modeling deals with both organic and inorganic contaminants, including those from agricultural operations. Section 2: Case Studies presents contamination scenarios with both inorganic and organic chemicals including agriculturally-related constituents, such as the nitrates. This important new publication is a welcome addition to the literature and will enhance recent information on methodology, modeling and real-world situations. It is of interest to scientists and planners in local and national government; environmental chemists, geochemists, geologists, and health and safety officers; river authorities; hydrologists; and the mining and land reclamation industries.
Book Synopsis Computational Techniques for Differential Equations by : J. Noye
Download or read book Computational Techniques for Differential Equations written by J. Noye and published by Elsevier. This book was released on 2000-04-01 with total page 689 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Techniques for Differential Equations
Book Synopsis A Half Century of Health Physics by : Michael T. Ryan
Download or read book A Half Century of Health Physics written by Michael T. Ryan and published by Lippincott Williams & Wilkins. This book was released on 2006-03-30 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Jubilæumsskrift udgivet i anledning af Health Physics Society's 50 års jubilæum. Bogen indeholder oversigtsartikler omhandlende en række radiologiske problemstillinger, f.eks. dosimetri, strålehygiejne og radiografisk historie.
Book Synopsis Geochemical and Biogeochemical Reaction Modeling by : Craig M. Bethke
Download or read book Geochemical and Biogeochemical Reaction Modeling written by Craig M. Bethke and published by Cambridge University Press. This book was released on 2022-01-06 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive primer/handbook on geochemical reaction modeling, from its origins and theoretical underpinnings to fully worked examples.
Book Synopsis Encyclopaedia of Mathematics by : Michiel Hazewinkel
Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 743 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.
Book Synopsis Integral Methods in Science and Engineering, Volume 2 by : Christian Constanda
Download or read book Integral Methods in Science and Engineering, Volume 2 written by Christian Constanda and published by Birkhäuser. This book was released on 2017-09-08 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume contains a collection of articles on the most recent advances in integral methods. The second of two volumes, this work focuses on the applications of integral methods to specific problems in science and engineering. Written by internationally recognized researchers, the chapters in this book are based on talks given at the Fourteenth International Conference on Integral Methods in Science and Engineering, held July 25-29, 2016, in Padova, Italy. A broad range of topics is addressed, such as:• Boundary elements• Transport problems• Option pricing• Gas reservoirs• Electromagnetic scattering This collection will be of interest to researchers in applied mathematics, physics, and mechanical and petroleum engineering, as well as graduate students in these disciplines, and to other professionals who use integration as an essential tool in their work.
Book Synopsis Computer Methods for Engineering with MATLAB® Applications, Second Edition by : Yogesh Jaluria
Download or read book Computer Methods for Engineering with MATLAB® Applications, Second Edition written by Yogesh Jaluria and published by CRC Press. This book was released on 2011-09-08 with total page 635 pages. Available in PDF, EPUB and Kindle. Book excerpt: Substantially revised and updated, Computer Methods for Engineering with MATLAB® Applications, Second Edition presents equations to describe engineering processes and systems. It includes computer methods for solving these equations and discusses the nature and validity of the numerical results for a variety of engineering problems. This edition now uses MATLAB in its discussions of computer solution. New to the Second Edition Recent advances in computational software and hardware A large number of MATLAB commands and programs for solving exercises and to encourage students to develop their own computer programs for specific problems Additional exercises and examples in all chapters New and updated references The text follows a systematic approach for obtaining physically realistic, valid, and accurate results through numerical modeling. It employs examples from many engineering areas to explain the elements involved in the numerical solution and make the presentation relevant and interesting. It also incorporates a wealth of solved exercises to supplement the discussion and illustrate the ideas and methods presented. The book shows how a computational approach can provide physical insight and obtain inputs for the analysis and design of practical engineering systems.
