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math.NA2025
An Improved Adaptive Orthogonal Basis Deflation Method for Multiple Solutions with Applications to Nonlinear Elliptic Equations in Varying Domains
Yangyi Ye, Lin Li, Pengcheng Xie +1
Multiple solutions are common in various non-convex problems arising from industrial and scientific computing. Nonetheless, understanding the nontrivial solutions' qualitative prop…
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…