Figure 6. Timing results on the Ascent system for the original MEUMAPPS-SS fixed-step, first-order, time-integration scheme and adaptive, high-order schemes from ARKODE along with the error calculated from a small-time-step reference solution. In the application-relevant error regime, ARKODE is 10×–20× faster than the original scheme when comparing approximate timings at the same error levels. Figure and results are courtesy of Steve DeWitt.