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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