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Simulations, Data Analysis and Algorithms

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Table 2 \(\pmb{L_{1}}\) error in the z -momentum density and the z -component of the magnetic field as a function of mesh resolution at the third 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 2.1295 × 10−1   9.2981 × 10−2  
120 × 120 3.7593 × 10−2 2.50 1.6720 × 10−2 2.48
240 × 240 5.1524 × 10−3 2.87 2.2025 × 10−3 2.92
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