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Part of the book series: UNITEXT (UNITEXT, volume 90)
Part of the book sub series: La Matematica per il 3+2 (UNITEXTMAT)
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Table of contents (10 chapters)
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Front Matter
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Basic Concepts and Examples of Environmental and Industrial Interest
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Front Matter
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Finite Volume Methods Applied to the Hyperbolic Conservation Laws
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Front Matter
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MATLAB Codes for the Studied Methods
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Front Matter
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Back Matter
About this book
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).
Reviews
“The book under review provides the background necessary to understand how these numerical methods work, as well as description and analysis of finite difference, upwind, and finite volume schemes and codes for several of the classic methods in common use. ... I recommend this text to advanced undergraduates … or to graduate students looking for a companion text to go with one of the weightier books on hyperbolic conservation laws. ... I will surely recommend this edition … .” (Donna Calhoun, SIAM Review, Vol. 59 (1), March, 2017)
“This book presents an introduction to finite volume methods for hyperbolic equations. It is designed as a textbook for Master's courses in mathematical engineering or industrial mathematics. … Each part of the book closes with a short biographical summary, on Peter Lax, Sergei K. Godunov and Eleuterio F. Toro, respectively.” (Raul Borsche, Mathematical Reviews, May, 2016)
Authors and Affiliations
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Department of Applied Mathematics, University of Santiago de Compostela, Santiago de Compostela, Spain
M. Elena Vázquez-Cendón
About the author
Bibliographic Information
Book Title: Solving Hyperbolic Equations with Finite Volume Methods
Authors: M. Elena Vázquez-Cendón
Series Title: UNITEXT
DOI: https://doi.org/10.1007/978-3-319-14784-0
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2015
Softcover ISBN: 978-3-319-14783-3Published: 01 June 2015
eBook ISBN: 978-3-319-14784-0Published: 16 April 2015
Series ISSN: 2038-5714
Series E-ISSN: 2532-3318
Edition Number: 1
Number of Pages: XVII, 188
Number of Illustrations: 12 b/w illustrations, 43 illustrations in colour
Topics: Software Engineering, Mathematical and Computational Engineering, Math. Appl. in Environmental Science, Computational Mathematics and Numerical Analysis, Mathematical Methods in Physics