Numerical Approximation of Hyperbolic Systems of Conservation Laws
2nd Edition
Published on 28. August 2021
XIII, 840 pages
978-1-0716-1344-3 (ISBN)
Description
This monograph is devoted to the theory and approximation by finite volume methods of nonlinear hyperbolic 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. Since the earlier work concentrated on the mathematical theory of multidimensional scalar conservation laws, this book will focus on 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, with special attention to the system of gas dynamics. This new edition includes more examples such as MHD and shallow water, with an insight on multiphase flows. Additionally, the text includes source terms and well-balanced/asymptotic preserving schemes, introducing relaxation schemes and addressing problems related to resonance and discontinuous fluxes while adding details on the low Mach number situation.
More details
Series
Edition
2nd ed. 2021
Language
English
Place of publication
New York
United States
Publishing group
Springer US
Target group
Primary & secondary/elementary & high school
Product notice
Reflowable
Illustrations
XIII, 840 p. 78 illus.
File size
11,35 MB
ISBN-13
978-1-0716-1344-3 (9781071613443)
DOI
10.1007/978-1-0716-1344-3
Schweitzer Classification
Other editions
Additional editions
Edwige Godlewski | Pierre-Arnaud Raviart
Numerical Approximation of Hyperbolic Systems of Conservation Laws
Book
08/2021
2nd Edition
Springer
€192.59
Shipment within 15-20 days
Content
Nonlinear hyperbolic systems in one space dimension.- Gas dynamics and reacting flows.- Finite volume schemes for one-dimensional systems.- The case of multidimensional systems.- An introduction to boundary conditions.- Source terms.
