题  目：An Augmented Singular Transform and its PartiaL Newton Method for Finding New Solutions

　　报告人：谢资清（湖南师范大学教授，数学与计算机科学学院院长）

　　时  间：2014年10月17号15：00—16：00

　　地  点：综合楼三楼会议室

　　摘  要：Using the information provided by previously found solutions, a new augmented singular transform is developed to change the local basin-barrier structure of the original problem for finding new solutions in an infinite-dimensional space. Then an augmented partial Newton method is proposed to solve the new problem on the solution set. Mathematical justification of the new formulation and method is established. Details on algorithm implementation are presented. Numerical results for two very different variational PDE problems are obtained and displayed with their profile-contour plots and data on convergence and errors.