Fig. 4 | Scientific Reports

Fig. 4

From: Stabilisation of the Landau-Lifshitz-Gilbert equation for numerical solution via standard methods

Fig. 4

The CPU times consumed in solving the \(\mu\)MAG standard problem \(\#4\)35, using the integrations methods indicated by the legend, for different numbers of cells, for (a) Field 1, and (b) Field 2. The CPU time refers to an Intel Xeon CPU, model E5-2690 v4 @ 2.60GHz. The red dashed line, with circular markers, refers to the projected explicit Euler scheme by Albert et al.8. The blue dotted line, with square markers, refers to our present method, using the DOP853 solver. The black solid line with triangular markers refers to our present method, using the BDF solver, which is specifically for stiff systems. The blue arrows point to results for which the DOP853 solver produced the warning message about stiffness, shown by the inset. See, main text for details.

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