Numerical Approximation of Hyperbolic Systems of Conservation Laws (Applied Mathematical Sciences)

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9780387945293: Numerical Approximation of Hyperbolic Systems of Conservation Laws (Applied Mathematical Sciences)
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Book by Godlewski Edwige Raviart PierreArnaud

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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 one-dimensional case by finite-difference 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 self-sufficient 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.

Reseña del editor:

This work is devoted to the theory and approximation of nonlinear hyperbolic systems of conservation laws in one or two spaces variables. It follows directly a previous publication on hyperbolic systems of conservation laws by the same authors. While in the earlier publication, the authors concentrate on the mathematical theory of multidimensional scalar conservation laws, in this work, they consider systems and the theoretical aspects which are needed in the applications, such as the solution of the Riemann problem and further insights into more sophisticated problems.

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1.

Edwige Godlewski, Pierre-Arnaud Raviart
Publicado por Springer-Verlag New York Inc., United States (1996)
ISBN 10: 0387945296 ISBN 13: 9780387945293
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Descripción Springer-Verlag New York Inc., United States, 1996. Hardback. Condición: New. 1996 ed.. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. 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 one-dimensional case by finite-difference 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 self-sufficient 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. Nº de ref. del artículo: LIE9780387945293

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Edwige Godlewski, Pierre-Arnaud Raviart
Publicado por Springer-Verlag New York Inc., United States (1996)
ISBN 10: 0387945296 ISBN 13: 9780387945293
Nuevo Tapa dura Cantidad disponible: 1
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Descripción Springer-Verlag New York Inc., United States, 1996. Hardback. Condición: New. 1996 ed.. Language: English . Brand New Book. 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 one-dimensional case by finite-difference 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 self-sufficient 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. Nº de ref. del artículo: LIB9780387945293

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Edwige Godlewski; Pierre-Arnaud Raviart
Publicado por Springer (1996)
ISBN 10: 0387945296 ISBN 13: 9780387945293
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Descripción Springer, 1996. Condición: New. Nº de ref. del artículo: L9780387945293

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Edwige Godlewski, Pierre-Arnaud Raviart
Publicado por Springer-Verlag New York Inc., United States (1996)
ISBN 10: 0387945296 ISBN 13: 9780387945293
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Descripción Springer-Verlag New York Inc., United States, 1996. Hardback. Condición: New. 1996 ed.. Language: English . Brand New Book. 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 one-dimensional case by finite-difference 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 self-sufficient 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. Nº de ref. del artículo: LIB9780387945293

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Edwige Godlewski, Pierre-Arnaud Raviart
Publicado por Springer New York 1996-09-27, New York (1996)
ISBN 10: 0387945296 ISBN 13: 9780387945293
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Descripción Springer New York 1996-09-27, New York, 1996. hardback. Condición: New. Nº de ref. del artículo: 9780387945293

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Edwige Godlewski, Pierre-Arnaud Raviart
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Descripción Springer, 1996. Hardcover. Condición: New. 1996. Nº de ref. del artículo: DADAX0387945296

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EDWIGE GODLEWSKI
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Descripción Springer, 1996. Hardback. Condición: NEW. 9780387945293 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. For all enquiries, please contact Herb Tandree Philosophy Books directly - customer service is our primary goal. Nº de ref. del artículo: HTANDREE0275472

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Godlewski, Edwige
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Descripción Springer-Verlag New York Inc., 1996. HRD. Condición: New. New Book. Delivered from our US warehouse in 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND.Established seller since 2000. Nº de ref. del artículo: IP-9780387945293

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Godlewski, Edwige
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Descripción Springer, 2016. Paperback. Condición: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Nº de ref. del artículo: ria9780387945293_lsuk

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Edwige Godlewski
Publicado por Springer New York Sep 1996 (1996)
ISBN 10: 0387945296 ISBN 13: 9780387945293
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Descripción Springer New York Sep 1996, 1996. Buch. Condición: Neu. Neuware - 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 one-dimensional case by finite-difference 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 self-sufficient 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. 524 pp. Englisch. Nº de ref. del artículo: 9780387945293

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