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. 2001 Nov 20;98(25):14198–14201. doi: 10.1073/pnas.251420998

Table 1.

Comparative error analysis for the test problem (Eq. 22) for Burgers' equation

Method N L1 error L1 order UiΔxi
Untracked 30 6.83e-2 1.732
60 3.49e-2 0.969 1.733
120 1.63e-2 1.10 1.733
240 8.24e-3 0.984 1.733
Conservatively tracked 30 2.17e-2 1.732
60 7.07e-3 1.62 1.733
120 2.11e-3 1.74 1.733
240 6.04e-4 1.80 1.733
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