On two plasma benchmarks, the unsplit Active Flux method is slightly more accurate and cheaper at coarse resolution in 2D, while the split-step method is slightly more accurate at fine resolution and more extensible.
Construction of higher order symplectic integrators
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A Comparison of Active Flux Methods for the Vlasov-Poisson System
On two plasma benchmarks, the unsplit Active Flux method is slightly more accurate and cheaper at coarse resolution in 2D, while the split-step method is slightly more accurate at fine resolution and more extensible.