Linearization methods have been used in the numerical analysis of finite element solutions to nonlinear partial differential equations (PDEs) for quite a long time. Frequently, essential properties ...

Coupled second-order nonlinear differential equations are of fundamental importance in dynamics. In this part of our study on the integrability and linearization of nonlinear ordinary differential ...

Consider the single-DOF problem of a thin bar pinned to ground with a constant horizontal force F acting at the free end of the bar. This says that for a small perturbation about the equilibrium state ...