Optimal third order SSP LMMs
stepsorderSSP coefficient$\alpha_i$$\beta_i$
$m$$r$ $c$
43$ \frac{1}{3}$$ \frac{16}{27},0,0,\frac{11}{27}$ $\frac{16}{9},0,0,\frac{4}{9}$
53$\frac{1}{2}$$\frac{25}{32},0,0,0, \frac{7}{32}$ $\frac{25}{16},0,0,0,\frac{5}{16}$
630.58280.850708871672579,0,0,0,0.030664864534383,0.118626263793039 1.459638436015276,0,0,0,0.052614491749200,0.203537849338252
540.0212 0.048963857415019, 0, 0.008344481263315, 0.899467614699687 2.310657177904340, 0, 0.393785059937890, 2.039789323349077, 0
640.1648 0.342460855717007, 0, 0, 0.191798259434736, 0.093562124939008, 0.372178759909247 2.078553105578060, 0, 0, 1.164112222279710, 0.567871749748709, 0