This self-contained chapter focuses on finite difference approximation of hyperbolic boundary value problems. A number of explicit and implicit time-stepping schemes are introduced and their stability, dissipation and dispersion is analysed. State-of-the-art schemes for hyperbolic PDEs that involve flux limiters are discussed at the end of the chapter.
Hyperbolic PDEs Hyperbolic Boundary Value Problems Local Truncation Error Flux-limited Scheme Courant Number
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