\u003cp\u003e\u003ci\u003eComputational Methods for Nonlinear Dynamical Systems: Theory and Applications in Aerospace Engineering\u003c/i\u003e proposes novel ideas and develops highly-efficient and accurate methods for solving nonlinear dynamic systems, drawing inspiration from the weighted residual method and the asymptotic method. Proposed methods can be used both for real-time simulation and the analysis of nonlinear dynamics in aerospace engineering. The book introduces global estimation methods and local computational methods for nonlinear dynamic systems. Starting from the classic asymptotic, finite difference and weighted residual methods, typical methods for solving nonlinear dynamic systems are considered. \u003c/p\u003e \u003cp\u003eIn addition, new high-performance methods are proposed, such as time-domain collocation and local variational iteration. The book summarizes and develops computational methods for strongly nonlinear dynamic systems and considers the practical application of the methods within aerospace engineering.\u003c/p\u003e\u003cul\u003e \u003cli\u003ePresents global methods for solving periodic nonlinear dynamical behaviors\u003c/li\u003e \u003cli\u003eGives local methods for solving transient nonlinear responses\u003c/li\u003e \u003cli\u003eOutlines computational methods for linear, nonlinear, ordinary and partial differential equations\u003c/li\u003e \u003cli\u003eEmphasizes the development of accurate and efficient numerical methods that can be used in real-world missions\u003c/li\u003e \u003cli\u003eReveals practical applications of methods through orbital mechanics and structural dynamics\u003c/li\u003e\u003c/ul\u003e
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