Geometric integration theory and applications of nonlinear dynamical systems

Author: Zhang Suying Deng Zichen
Publisher:
Publish Date: 2005-01-01
Features: This book first discusses the geometric integration methods for generalized Hamiltonian systems and generalized Hamiltonian constrained systems. Subsequently, on the basis of introducing the Lie series solution method and the basic knowledge of Lie groups and Lie algebras in detail, it systematically and thoroughly elaborates on the Lie group integration methods for more general forms of nonlinear dynamic differential equations. This book can be used as a reference for senior undergraduate and graduate students in applied mathematics, physics, and mechanics, as well as relevant scientific and technological workers.