一、题目
Solving ill-posed problems by dynamical system method
二、主讲人
刘继军
三、摘要
The ill-posed problems are quite popular arising from many engineering areas such as contamination control, geophysics, remote sensing and image process. The main difficulty for solving these problems is the instability, namely, the small perturbations in input data can lead large errors in the solutions. Consequently, many regularizing schemes such as Tikhonov regularizations, iterative regularizations are proposed to solve these problems efficiently, in the sense of recovering the stability by solving an approximate well-posed problem. In this talk, we will introduce the essence of the ill-posed problems and the corresponding solution schemes called dynamical system method, which construct the regularizing schemes by a ODE system.
四、主讲人简介
刘继军,博士,东南大学二级教授,博士生导师,享受国务院政府特殊津贴专家。现任南京应用数学中心常务副主任,中国工业与应用数学学会常务理事,全国大学生数学建模竞赛组委会委员,中国工业与应用数学学会数学建模竞赛专业委员会委员,江苏省计算数学学会副理事长。国家精品课《数学建模与数学实验》主持人。中国计算数学学会第八届、第九届理事会常务理事,江苏省工业与应用数学学会第五届、第六届理事长。长期从事数学物理反问题、大规模科学计算和介质成像的数学理论和方法的研究。主持完成国家自然科学基金、江苏省自然科学基金等多项。在SIAM J. Appl. Math.、SIAM J. Sci. Comput.、Inverse Problems、Inverse Problems and Imaging等发表学术论文100余篇,在科学出版社出版学术专著2本。曾任Inverse Problems in Sciences and Engineering编委,现任J. Inverse and Ill-posed Problems编委。入选江苏省青蓝工程青年骨干教师、中青年学术带头人,江苏省333工程第三层次培养人选。获宝钢教育基金会全国优秀教师一等奖,作为主持人获江苏省教学成果一等奖、江苏省自然科学三等奖、教育部自然科学二等奖。
五、邀请人
芮洪兴 数学学院教授
六、时间
9月18日(周五)15:00
七、地点
中心校区知新楼B座1032报告厅
八、主办
山东大学数学学院