Numerical Approximation of Hyperbolic Systems of Conservation

Numerical Approximation of Hyperbolic Systems of Conservation Laws (Applied Mathematical Sciences, 118)

This work is devoted to the theory and approximation of nonlinear hyperÂ 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 chapÂ 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 conÂ 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 entropyÂ present the practical examples that will be thoroughly developed in the following chapters, and recall the main results concerning the scalar case.
Country USA
Brand Springer
Manufacturer Springer
Binding Hardcover
UnitCount 1
EANs 9780387945293
ReleaseDate 0000-00-00

Country	USA
Brand	Springer
Manufacturer	Springer
Binding	Hardcover
UnitCount	1
EANs	9780387945293
ReleaseDate	0000-00-00

Numerical Approximation of Hyperbolic Systems of Conservation Laws (Applied Mathematical Sciences, 118)

Customers who purchased this also purchased....