Solving Hyperbolic Equations with Finite Volume Methods

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 o...

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Bibliographic Details
Published in:Springer eBooks
Main Author: Vázquez-Cendón, M. Elena (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
Series:UNITEXT,
Subjects:
Online Access:http://dx.doi.org/10.1007/978-3-319-14784-0
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Table of Contents:
  • 1 Part I Basic concepts and examples of environmental and industrial interest
  • 2 Motivation
  • 3 Hyperbolic conservation laws. Basic concepts and examples
  • 4 Types of solutions to hyperbolic systems of conservation laws
  • 5 Biographical summary of Professor Peter Lax
  • 6 Part II Finite volume methods applied to the hyperbolic conservation laws
  • 7 1D hyperbolic linear systems
  • 8 1D Non-linear hyperbolic systems
  • 9 Biographical summary of Professor Sergei Konstantinovich Godunov
  • 10 Part III MATLAB codes for the studied methods
  • 11 Codes for the linear transport equation
  • 12 Codes for the Burgers equation
  • 13 Biographical summary of Professor Eleuterio Francisco Toro.