报告人：孙海卫（澳门大学）
报告时间：2025年7月6日（星期日）10:00-12:00
报告地点：科技楼南楼706室
报告摘要：In this paper, we investigate the numerical solution of the two-dimensional fractional Laplacian wave equations. After splitting out the Riesz fractional derivatives from the fractional Laplacian, we treat the Riesz fractional derivatives with an implicit scheme while solving the rest part explicitly. Thanks to the tensor structure of the Riesz fractional derivatives, a splitting alternative direction implicit (S-ADI) scheme is proposed by incorporating an ADI remainder. Then the Gohberg-Semencul formula, combined with fast Fourier transform, is proposed to solve the derived Toeplitz linear systems at each time integration. Theoretically, we demonstrate that the S-ADI scheme is unconditionally stable and possesses second-order accuracy. Finally, numerical experiments are performed to demonstrate the accuracy and efficiency of the S-ADI scheme.
报告人简介：孙海卫，澳门大学数学系教授、博士生导师，1996年毕业于香港中文大学数学系获得博士学位。主要研究领域包括数值线性代数、偏微分方程数值解、和计算金融学等。在SISC，SINUM，SIMAX，JCP等计算数学杂志发表超过120篇高水平研究论文，担任过国际学术期刊EAJAM和IJCM编委于2018年获得澳门特区政府颁发的自然科学二等奖，在2019年第8届华人数学家大会(ICCM)作45分钟大会报告，共主持澳门科技发展基金6项。
邀请人：李东方
