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Table 6 The error of the first test

From: G-stability one-leg hybrid methods for solving DAEs

  t h \(\operatorname{Er}(y_{1}(t))\) \(\operatorname{Er}(y_{2}(t))\)
Hybrid Method (4) 3 0.001 4.78965E-8 1.53733E-8
6 0.001 2.07019E-6 3.41682E-7
3 0.0001 1.67133E-10 4.69775E-11
6 0.0001 1.26784E-9 1.45462E-10
One-Leg of Hybrid Method (4) 3 0.001 8.87175E-6 4.70979E-6
6 0.001 4.45514E-4 8.88051E-5
3 0.0001 8.92249E-8 4.72626E-8
6 0.0001 4.48537E-6 8.9293E-7
Hybrid Method (27) 3 0.001 1.15024E-7 3.66907E-8
6 0.001 5.31317E-6 8.72459E-7
3 0.0001 3.5984E-10 1.107355E-10
6 0.0001 1.12391E-8 1.93154E-9
One-Leg of Hybrid Method (27) 3 0.001 1.28838E-6 9.03448E-8
6 0.001 2.06502E-4 2.96481E-5
3 0.0001 1.22774E-8 1.09555E-9
6 0.0001 2.02582E-6 2.90166E-7
HBDF 3 0.001 4.67957E-9 1.52812E-8
6 0.001 7.17848E-6 1.01547E-6
3 0.0001 2.87855E-10 9.16494E-11
6 0.0001 4.06857E-8 6.55177E-9