Computational Methods for Nonlinear Dynamical Systems

"Computational Methods for Nonlinear Dynamical Systems proposes novel ideas and develops highly efficient and accurate methods for solving nonlinear dynamical systems, drawing inspiration from the weighted residual method and the asymptomatic method. The book also introduces global estimation methods and local computational methods for nonlinear dynamical systems. Starting from the classic asymptomatic, finite difference and weighted residual methods, typical methods for solving nonlinear dynamical systems are considered. All proposed are new high-performance methods, such as time-domain collocation and local variational iteration. These proposed methods can be used both for real-time simulation and for the analysis of nonlinear dynamics in aerospace engineering. This book summarizes and develops computational methods for strongly nonlinear dynamical systems and considers the practical application of the methods within aerospace engineering, making it an essential resource for those working in this area."--