Solving Hyperbolic Equations with Finite Volume Methods

Häftad, Engelska, 2015

Av M. Elena Vázquez-Cendón, M. Elena Vazquez-Cendon

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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.

Produktinformation

Utgivningsdatum2015-06-01
Mått155 x 235 x 13 mm
Vikt342 g
FormatHäftad
SpråkEngelska
SerieUNITEXT
Antal sidor188
FörlagSpringer International Publishing AG
ISBN9783319147833

Tillhör följande kategorier

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.

"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)