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140122  eng 
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a 9781461207139

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1 

a Godlewski, Edwige

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a Numerical Approximation of Hyperbolic Systems of Conservation Laws
h Elektronische Ressource
c by Edwige Godlewski, PierreArnaud Raviart

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a 1st ed. 1996

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a New York, NY
b Springer New York
c 1996, 1996

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a VIII, 510 p
b online resource

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0 

a From the contents: Introduction: Definitions and Examples  Nonlinear hyperbolic systems in one space dimension  Gas dynamics and reaction flows  Finite Difference Schemes for onedimensional systems  The case of multidimensional systems  An Introduction to Boundary conditions

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a Numerical Analysis

653 


a Mathematical physics

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a Numerical analysis

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a Theoretical, Mathematical and Computational Physics

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1 

a Raviart, PierreArnaud
e [author]

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0 
7 
a eng
2 ISO 6392

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b SBA
a Springer Book Archives 2004

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a Applied Mathematical Sciences

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a 10.1007/9781461207139

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u https://doi.org/10.1007/9781461207139?nosfx=y
x Verlag
3 Volltext

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a 518

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a This work is devoted to the theory and approximation of nonlinear hyper bolic systems of conservation laws in one or two space variables. It follows directly a previous publication on hyperbolic systems of conservation laws by the same authors, and we shall make frequent references to Godlewski and Raviart (1991) (hereafter noted G. R. ), though the present volume can be read independently. This earlier publication, apart from a first chap ter, especially covered the scalar case. Thus, we shall detail here neither the mathematical theory of multidimensional scalar conservation laws nor their approximation in the onedimensional case by finitedifference con servative schemes, both of which were treated in G. R. , but we shall mostly consider systems. The theory for systems is in fact much more difficult and not at all completed. This explains why we shall mainly concentrate on some theoretical aspects that are needed in the applications, such as the solution of the Riemann problem, with occasional insights into more sophisticated problems. The present book is divided into six chapters, including an introductory chapter. For the reader's convenience, we shall resume in this Introduction the notions that are necessary for a selfsufficient understanding of this book the main definitions of hyperbolicity, weak solutions, and entropy present the practical examples that will be thoroughly developed in the following chapters, and recall the main results concerning the scalar case
