报告人：肖爱国(湘潭大学)

报告人简介: 肖爱国，湘潭大学数学与计算科学学院二级教授教授、博士生导师。现兼任国防科技数值算法与模拟湖南省国防科技重点实验室主任、科学工程计算与数值仿真湖南省重点实验室副主任、中国仿真学会仿真算法专业委员会主任委员，中国仿真学会、中国数学会计算数学分会理事，期刊《计算数学》、《数值计算与计算机应用》编委等。研究领域为微分方程数值方法，主持国家863课题1项、国家自科基金面上项目4项及省部级科研项目8项。 在《J. Comput. Phys.》、《J. Sci. Comput.》、《Fract. Calc. Appl. Anal.》、《Adv. Comput. Math.》、《BIT》等SCI源刊物上发表论文70多篇，获国家教学成果二等奖、湖南省教学成果一等奖、教育部自然科学二等奖、宝钢教育奖优秀教师奖等。

报告题目：Symplectic scheme for the Schrodinger equation with fractional Laplacian

报告摘要：In this talk, the symplectic scheme is presented for solving the space fractional Schrodinger equation (SFSE) with one dimension. First, the symplectic conservation law is investigated for space semi-discretization systems of the SFSE based on the existing second-order central difference scheme and the existing fourth-order compact scheme. Then, the fourth-order central difference scheme of the fractional Laplacian is developed, and the resulting space semi-discretization system is shown to be a finite dimension Hamiltonian system of ordinary differential equations. Moreover, we get the full discretization scheme by applying the symplectic midpoint scheme to the Hamiltonian system. In particular, the space semi-discretization and the full discretization are shown to preserve some properties of the SFSE. At last, numerical experiments are given to verify the efficiency of the scheme.

报告时间: 2019年5月9日（星期四）19：30

报告地点: 科技楼南楼702室