报告题目：Preconditioned Newton-GMRES method for space fractional nonlinear Schrodinger equations
报告人：潘建瑜教授(华东师范大学)
报告地点：尚贤楼706报告厅
报告时间：2019年4月19日下午3:20--4:20
主持人：徐玮玮副教授
报告人简介：潘建瑜，华东师范大学数学科学学院教授，博士生导师，华东师范大学数学科学学院副院长。2003年在中国科学院数学与系统科学研究院获理学博士学位。主要从事数值线性代数和高性能科学计算研究。成果主要发表在《SIAM Journal on Scientific Computing》、《Numerische Mathematik》等计算数学顶级刊物上。
报告摘要：It is well known that the nonlinear Schrodinger equation is one of the most important equations in quantum mechanics. In recent years, as a generalization of the traditional Schrodinger equation, the fractional Schrodinger equation has got more and more attention, especially its numerical solution methods. In this talk, we consider the iterative solution methods foa class of space fractional nonlinear Schrodinger equations. By using the Crank-Nicolson scheme, we obtain a series of complex systems of nonlinear equations. We will investigate the preconditioned Newton-GMRES method for these nonlinear equations.
数学与统计学院
