Computational Numerical Methods for Dynamical Systems

Computational Methods for Nonlinear Dynamical Theory and Applications in Aerospace Engineering introduces new techniques for solving nonlinear dynamic systems. The approaches draw on the weighted residual and asymptotic traditions, and they can serve both for real-time simulation and for analysing nonlinear dynamics in aerospace engineering.

The book presents global estimation methods alongside local computational methods. It begins with established tools for nonlinear dynamic systems, namely the asymptotic, finite difference and weighted residual approaches, before turning to newer high-performance techniques such as time-domain collocation and local variational iteration.

Its closing focus is on strongly nonlinear dynamic systems, with attention to how these computational methods apply to problems in aerospace engineering.