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Note on the von Neumann stability of explicit one-dimensional advection schemes. (English) Zbl 0848.76061
A number of well-known explicit advection schemes are considered and extended to large time step \(\Delta t\). The analysis also includes a simple interpretation of (large \(\Delta t\)) TVD constraints.

MSC:
76M25 Other numerical methods (fluid mechanics) (MSC2010)
76R99 Diffusion and convection
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
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