The semi-discrete Active Flux method for 1D linear advection with periodic boundaries is shown to be energy stable via newly constructed, including degenerate, summation-by-parts operators.
A hybrid finite element - finite volume method for conserva- tion laws
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Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators
The semi-discrete Active Flux method for 1D linear advection with periodic boundaries is shown to be energy stable via newly constructed, including degenerate, summation-by-parts operators.