Semi Implicit Hybrid Methods with Higher Order Dispersion for Solving Oscillatory Problems

Table 1

Summary of the properties of the SIHM3(4), SIHM3(5), and SIHM4(5) methods.

Method	𝑞	𝑟	‖𝜏^(𝑝+1)‖2	DPC	DSC	S.I/P.I
SIHM3(4)	6	∞	1.863×10^−2	13/302400	—	(0, 2.96)
SIHM3(5)	6	∞	1.147×10^−1	13/302400	—	(0, 2.96)
SIHM4(5)	8	5	9.772×10^−2	241/881798400	277/44089920	(0, 5.75)

Note that DPC is dispersion constant, DSC is dissipation constant, P.I is periodicity interval, and S.I is stability interval.