Balance-Guided Sparse Identification of Multiscale Nonlinear PDEs with Small-coefficient Terms
平衡引导的多尺度非线性PDEs小系数项稀疏识别
机构 * State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China(非线性力学国家重点实验室,力学研究所,中国科学院,北京100190,中国) ; School of Engineering Sciences, University of Chinese Academy of Sciences, Beijing 100049, China(中国科学院大学工程科学学院,北京100049,中国) ; School of Mathematics and Statistics, Northwestern Polytechnical University, Xi'an 710072, China(西北工业大学数学与统计学院,西安710072,中国)
AI总结 本文提出平衡引导SINDy方法,通过项级ℓ_{2,0}正则化和渐进剪枝策略,有效识别多尺度非线性PDE中系数小的项。
Comments 32 pages, 7 figures, submitted to Journal of Computational Physics