Explicit integration performs a key role in many analysis of linear and non-linear dynamics. The finite element method applies to spatial discretization in a system of ordinary differential equations to be solved, which is often done by the central difference method. Characteristic length is an important dimension that defines the scale of a physical system. Often, such a length is used as an input to a formula in order to predict some characteristics of the system, and it is usually required by the construction of a dimensionless quantity. In computational mechanics, a characteristic length is defined to force localization of a stress softening. The length is associated with an integration…