Trangenstein J.A. Numerical solution of hyperbolic partial differential equations

Department of Mathematics, Duke University Durham, NC 27708-0320 Cambridge University Press 2007.
Hyperbolic conservation laws describe a number of interesting physical problems
in diverse areas such as fluid dynamics, solid mechanics, and astrophysics. Our
emphasis in this book is on nonlinearities in these problems, especially those that
lead to the development of propagating discontinuities.