动态模态分解方法在非线性动态问题中的应用
The Application of Dynamic Mode Decomposition Method in Nonlinear Dynamic Problems
摘要: 本文介绍了动态模态分解方法在非线性动态问题中的应用，动态模态分解方法是实现数值计算Koopman算子的方法，Koopman算子将有限维空间中的非线性问题转化为无穷维空间中的线性问题。本文主要介绍了非线性问题求解的最新计算方法，有助于引导学生打破传统非线性问题的迭代求解思考方式，培养学生算法创新能力。
Abstract: This article introduces the application of dynamic mode decomposition method in nonlinear dynamic problems. Dynamic mode decomposition method is a method for implementing numerical computation of the Koopman operator, which transforms nonlinear problems in finite dimensional space into linear problems in infinite dimensional space. This article mainly introduces the latest computational methods for solving nonlinear problems, which helps guide students to break the traditional iterative thinking of solving nonlinear problems and cultivate their algorithm innovation abilities.
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