Convergence analysis of a spectral-Galerkin-type search extension method for finding multiple solutions to semilinear problems

Scientia Sinica Mathematica ◽

10.1360/scm-2019-0357 ◽

2020 ◽

Vol 51 (9) ◽

pp. 1407

Author(s):

Liu Wei ◽

Xie Ziqing ◽

Yuan Yongjun

Keyword(s):

Convergence Analysis ◽

Multiple Solutions ◽

Extension Method ◽

Semilinear Problems

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Analysis of search-extension method for finding multiple solutions of nonlinear problem

Science in China Series A Mathematics ◽

10.1007/s11425-007-0122-4 ◽

2008 ◽

Vol 51 (1) ◽

pp. 42-54 ◽

Author(s):

ChuanMiao Chen ◽

ZiQing Xie

Keyword(s):

Nonlinear Problem ◽

Multiple Solutions ◽

Extension Method

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Search-extension method for finding multiple solutions of nonlinear problem

Science in China Series A Mathematics ◽

10.1360/03ys0198 ◽

2005 ◽

Vol 48 (6) ◽

pp. 721 ◽

Author(s):

Chuanmiao CHEN

Keyword(s):

Nonlinear Problem ◽

Multiple Solutions ◽

Extension Method

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Convergence Analysis of a Minimax Method for Finding Multiple Solutions of Semilinear Elliptic Equation: Part I—On Polyhedral Domain

Journal of Scientific Computing ◽

10.1007/s10915-014-9871-8 ◽

2014 ◽

Vol 62 (3) ◽

pp. 652-673 ◽

Author(s):

Xudong Yao

Keyword(s):

Elliptic Equation ◽

Convergence Analysis ◽

Multiple Solutions ◽

Semilinear Elliptic Equation ◽

Minimax Method ◽

Semilinear Elliptic ◽

Polyhedral Domain

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The accelerated search-extension method for computing multiple solutions of semilinear PDEs

Acta Mathematica Scientia ◽

10.1016/s0252-9602(09)60071-0 ◽

2009 ◽

Vol 29 (4) ◽

pp. 803-816 ◽

Author(s):

Liu Yuewu ◽

Xie Ziqing ◽

Chen Chuanmiao

Keyword(s):

Multiple Solutions ◽

Extension Method ◽

Semilinear Pdes

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Convergence analysis of a minimax method for finding multiple solutions of hemivariational inequality in Hilbert space

Advances in Computational Mathematics ◽

10.1007/s10444-016-9465-0 ◽

2016 ◽

Vol 42 (6) ◽

pp. 1331-1362 ◽

Author(s):

Xudong Yao

Keyword(s):

Hilbert Space ◽

Convergence Analysis ◽

Multiple Solutions ◽

Hemivariational Inequality ◽

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An improved search-extension method for computing multiple solutions of semilinear PDEs

IMA Journal of Numerical Analysis ◽

10.1093/imanum/dri009 ◽

2005 ◽

Vol 25 (3) ◽

pp. 549-576 ◽

Author(s):

Ziqing Xie ◽

Chuanmiao Chen ◽

Yun Xu

Keyword(s):

Multiple Solutions ◽

Extension Method ◽

Semilinear Pdes

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Search extension method for multiple solutions of a nonlinear problem

Computers & Mathematics with Applications ◽

10.1016/s0898-1221(04)90028-4 ◽

2004 ◽

Vol 47 (2-3) ◽

pp. 327-343 ◽

Author(s):

Chuanmiao Chen ◽

Ziqing Xie

Keyword(s):

Nonlinear Problem ◽

Multiple Solutions ◽

Extension Method

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Study on Pavement Maintenance and Preservation Sequence Based on Preference Information and Complex Element Extension Method

10.1061/9780784483053.151 ◽

2020 ◽

Author(s):

Guifei Tan ◽

Guangyuan Du

Keyword(s):

Preference Information ◽

Extension Method ◽

Pavement Maintenance ◽

Complex Element

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ANALYSIS OF THE TRANSMISSION SPECTRA OF OPTICAL MICRORESONATORS USING THE MODE EXTENSION METHOD

Автометрия ◽

10.15372/aut20180110 ◽

2018 ◽

Keyword(s):

Transmission Spectra ◽

Extension Method ◽

Optical Microresonators

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Convergence analysis of estimated parameters for parametric nonlinear strict feedback system with unknown control direction

Nonlinear Analysis Modelling and Control ◽

10.15388/na.2015.4.1 ◽

2015 ◽

Vol 20 (4) ◽

pp. 469-486 ◽

Author(s):

Jun Min Li ◽

◽

Chao He ◽

Keyword(s):

Convergence Analysis ◽

Feedback System ◽

Estimated Parameters ◽

Unknown Control ◽

Unknown Control Direction ◽

Control Direction ◽

Strict Feedback

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