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Simulations, Data Analysis and Algorithms

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Table 1 \(\pmb{L_{1}}\) error in the z -momentum density and the z -component of the magnetic field as a function of mesh resolution at the second order

From: Riemann solvers and Alfven waves in black hole magnetospheres

Zones \(\boldsymbol{L_{1}}\) error z -momentum density Accuracy \(\boldsymbol{L_{1}}\) error z -magnetic field Accuracy
60 × 60 2.7693 × 10−1   1.1971 × 10−1  
120 × 120 7.5660 × 10−2 1.87 3.3246 × 10−2 1.85
240 × 240 1.6083 × 10−2 2.23 7.1989 × 10−3 2.21
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