SSP coefficients of optimal implicit linear multistep methods
Steps \ Order |
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
1 | $\infty$ | 2.0000 | | | | | | |
2 | $\infty$ | 2.0000 | 1.0000 | | | | | |
3 | $\infty$ | 2.0000 | 1.5000 | 1.0000 | | | | |
4 | $\infty$ | 2.0000 | 1.6667 | 1.2432 | 0.6667 | | | |
5 | $\infty$ | 2.0000 | 1.7500 | 1.2432 | 0.7955 | 0.5000 | | |
6 | $\infty$ | 2.0000 | 1.8000 | 1.2432 | 0.9294 | 0.6597 | 0.3000 | |
7 | $\infty$ | 2.0000 | 1.8333 | 1.2432 | 1.0056 | 0.7837 | 0.4676 | 0.1965 |
8 | $\infty$ | 2.0000 | 1.8571 | 1.2432 | 1.0524 | 0.8683 | 0.5500 | 0.3450 |
9 | $\infty$ | 2.0000 | 1.8750 | 1.2432 | 1.0837 | 0.9053 | 0.6420 | 0.4426 |
10 | $\infty$ | 2.0000 | 1.8889 | 1.2432 | 1.1061 | 0.9053 | 0.6901 | 0.5328 |
11 | $\infty$ | 2.0000 | 1.9000 | 1.2432 | 1.1229 | 0.9053 | 0.7329 | 0.5803 |
12 | $\infty$ | 2.0000 | 1.9091 | 1.2432 | 1.1361 | 0.9053 | 0.7644 | 0.6249 |
13 | $\infty$ | 2.0000 | 1.9167 | 1.2432 | 1.1466 | 0.9053 | 0.7810 | 0.6620 |
14 | $\infty$ | 2.0000 | 1.9231 | 1.2432 | 1.1552 | 0.9053 | 0.7946 | 0.6920 |
15 | $\infty$ | 2.0000 | 1.9286 | 1.2432 | 1.1624 | 0.9053 | 0.8057 | 0.7138 |
16 | $\infty$ | 2.0000 | 1.9333 | 1.2432 | 1.1685 | 0.9053 | 0.8149 | 0.7189 |
17 | $\infty$ | 2.0000 | 1.9375 | 1.2432 | 1.1737 | 0.9053 | 0.8226 | 0.7189 |
18 | $\infty$ | 2.0000 | 1.9412 | 1.2432 | 1.1783 | 0.9053 | 0.8291 | 0.7189 |
19 | $\infty$ | 2.0000 | 1.9444 | 1.2432 | 1.1822 | 0.9053 | 0.8346 | 0.7189 |
20 | $\infty$ | 2.0000 | 1.9474 | 1.2432 | 1.1858 | 0.9053 | 0.8394 | 0.7189 |