主讲人：孙海卫教授

主持人：潘建瑜教授

开始时间：2018-4-23 16:30-17:30

讲座地址：闵行数学楼102报告厅

主办单位：数学系科技处

报告人简介：

孙海卫，澳门大学数学系教授。1996年香港中文大学应用数学专业博士毕业。2001至2004年期间分别在美国肯塔基州大学高性能计算实验室和亚拉巴马州大学化学工程系做博士后，2004年到澳门大学数学系工作，研究领域包括数值线性代数，偏微分方程数值解和金融计算等，在SIAM Journal on Scientific Computing，SIAM Journal on Matrix Analysis and Applications等著名期刊上发表学术论文五十余篇，著书两本。

报告内容简介：

In this talk, we develop a fast Laplace transform method for solving a class of free-boundary fractional diffusion equations arising in the American option pricing. Instead of using the time stepping methods, we develop the Laplace transform method for solving the free-boundary fractional diffusion equations. By approximating the free boundary, the Laplace transform is taken on a fixed space region to replace discretizing the temporal variable. The hyperbola contour integral method is exploited to restore the option values. Meanwhile, the coefficient matrix has theoretically proven to be Toeplitz-like and sectorial. Therefore, the highly accurate approximation by the fast Laplace transform method is guaranteed. The numerical results confirm that the proposed method outperforms the full finite difference methods in regard to the accuracy and complexity.