This important new book sets forth a comprehensive description of various mathematical aspects of problems originating in numerical solution of hyperbolic systems of partial differential equations. The authors present the material in the context of the important mechanical applications of such systems, including the Euler equations of gas dynamics,

Kulikovskii, A.G.; Pogorelov, N.V.; Semenov, A. Yu.

Hyperbolic Systems of Partial Differential Equations. Numerical Solution of Quasi-Linear Hyperbolic Systems. Gas Dynamic Equations. Shallow Water Equations. Magnetohydrodynamic Equations. Solid Dynamics Equation. Nonclassical Discontinuities and Solutions of Hyperbolic Systems.