2 papers
math.OC2025
A spectral Levenberg-Marquardt-Deflation method for multiple solutions of semilinear elliptic systems
Lin Li, Yuheng Zhou, Pengcheng Xie +1
Many nonlinear differential equations arising from practical problems may permit nontrivial multiple solutions relevant to applications, and these multiple solutions are helpful to…
math.NA2024
An Adaptive Orthogonal Basis Method for Computing Multiple Solutions of Differential Equations with polynomial nonlinearities
Lin Li, Yangyi Ye, Huiyuan Li
This paper presents an innovative approach, the Adaptive Orthogonal Basis Method, tailored for computing multiple solutions to differential equations characterized by polynomial no…