Based on further comprehension of single regressive integration and a large number of calculations, the concept and computation method of multiple regressive integration were proposed.

At the same time, a decomposition-integration method which based on dimension control is proposed as for complex coupled activities involving multiple iterations.

The multiple scale method (MSM) is introduced to analyze the characteristics of cable's vibration, and the precise time-integration method (PTIM) is used to solve vibration equations.