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学术活动

Augmented Partial Newton Method for Finding Multiple Solutions

主讲人:周建新 教授( Texas A&M University, USA)

时  间:5月23日(周四)14:20-15:20

地  点:威尼斯欢乐娱人城1099北二区教学楼 510 教室

备  注:摘要:To find multiple solutions of F(u)=0, a new augmented singular transformation is developed with a support spanned by previously found solutions to change the barrier structure in the original problem setting. Then an augmented partial Newton method is designed to solve the augmented problem on the solution set. Mathematical justification of the new formulation and method is established. Numerical results for both focusing and defocusing PDE problems are presented with their profiles and contour plots to illustrate the method. This is a joint work with Y.W. Liu, Z.Q. Xie and W.F. Yi.

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