Contents
Part I Finite Difference Method for Partial Differential Equations
1. Introduction and Mathematical Preliminaries
1.2 Typical Partial Differential Equations in Fluid Dynamics
1.3 Types of Second-order Equations
1.5 Properties of Linear and Quasilinear Equations
1.6 Physical Character of Subsonic and Supersonic Flows
1.7 Second-order Wave Equations
1.8 System of First-order Equations
2. Finite Difference and Finite Volume Discretisations
2.2 Finite Difference Discretisation
2.3 Discretisation of Derivatives
2.4 Consistency, Convergence, and Stability
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