Estimation of Longest Stability Interval for a Kind of Explicit Linear Multistep Methods

Table 2

Stability intervals of LMMs (4.27) and LMMs (4.28).

𝑎(4.27)	𝑏(4.27)	𝑐(4.27)	𝛽(4.27)	𝛼(4.27)	𝑎(4.28)	𝑏(4.28)	𝑐(4.28)	𝛽(4.28)	𝛼(4.28)
0.9999	0.0000	0.0000	0.2500	1.9999	0.9999	0.9999	0.0000	0.2500	3.9996
0.9000	0.0000	0.0000	0.2474	1.9120	0.9000	0.9000	0.0000	0.2391	3.4647
0.7500	0.0000	0.0000	0.2443	1.7837	0.7500	0.7500	0.0000	0.2285	2.8473
0.5000	0.0000	0.0000	0.2417	1.5792	0.5000	0.5000	0.0000	0.2240	2.1180
0.2500	0.0000	0.0000	0.2431	1.3849	0.2500	0.2500	0.0000	0.2324	1.5999
−0.5000	0.0000	0.0000	0.2649	1.0245	−0.5000	−0.5000	0.0000	0.2969	0.5716
−0.9999	0.0000	0.0000	0.4166	0.3529	−0.9999	−0.9999	0.0000	0.3333	0.500𝐸−4