图书简介 馆藏图书馆

Fundamental concepts and equations; 1.1 Some mathematical concepts and notation; 1.2 Governing equations and relations of gas dynamics; 1.3 Some advanced mathematical concepts and results; 1.4 Survey of concepts and results from functional analysis; Basic facts from the theory of the Euler and Navier-Stokes equations; 2.1 Hyperbolic systems and the Euler equations; 2.2 Existence of smooth solutions; 2.3 Weak solutions; 2.4 Nonstationary Navier-Stokes equations of compressible flow; 2.5 Existence results for stationary compressible Navier-Stokes equations; Finite difference and finite volume methods for non-linear hyperbolic systems and the Euler equations; 3.1 Further properties of the Euler equations; 3.2 Numerical methods for hyperbolic systems with one space variable; 3.3 The finite volume method for the multidimensional Euler equations; 3.4 Osher-Solomon scheme; 3.5 Higher order finite volume schemes; 3.6 Adaptive methods; 3.7 Examples of finite volume simulations; Finite element solution of compressible flow; 4.1 Finite element method - elementary treatment; 4.2 Finite element solution of viscous barotropic flow; 4.3 Finite element solution of a heat conductive gas flow; 4.4 Combined finite volume - finite element method for viscous compressible flow; 4.5 Theory of the combined FV-FE method; 4.6 Discontinuous Galerkin finite element method

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