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A spectral Levenberg–Marquardt-Deflation method for multiple solutions of semilinear elliptic systems

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成果类型:
期刊论文
作者:
Lin Li;Yuheng Zhou;Pengcheng Xie*;Huiyuan Li
通讯作者:
Pengcheng Xie
作者机构:
[Lin Li; Yuheng Zhou] School of Mathematics and Physics, University of South China, Hengyang, China
[Pengcheng Xie] Applied Mathematics and Computational Research Division, Lawrence Berkeley National Laboratory, 1 Cyclotron Road, Berkeley, 94720, CA, USA
[Huiyuan Li] State Key Laboratory of Computer Science/Laboratory of Parallel Computing, Institute of Software, Chinese Academy of Sciences, Beijing 100190, China
通讯机构:
[Pengcheng Xie] A
Applied Mathematics and Computational Research Division, Lawrence Berkeley National Laboratory, 1 Cyclotron Road, Berkeley, 94720, CA, USA
语种:
英文
关键词:
Multiple solutions;Legendre–Galerkin method;Levenberg–Marquardt method;Deflation
期刊:
Journal of Computational and Applied Mathematics
ISSN:
0377-0427
年:
2026
卷:
475
页码:
116998
机构署名:
本校为第一机构
院系归属:
数理学院
摘要:
Numerous practical problems give rise to nonlinear differential equations that may exhibit multiple nontrivial solutions relevant to applications. Efficiently computing these solutions is crucial for a profound understanding of these problems and enhancing various applications. Therefore, the development of a numerical method capable of finding multiple solutions efficiently is imperative. Additionally, the provision of an efficient iteration process is vital for promptly obtaining multiple solutions. In the current paper, we introduce a novel ...

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