江苏省应用数学（中国矿业大学）中心系列学术报告
报告题目：A stiff-cutter for stiff ODEs
报告人：孙海卫 教授 单位：澳门大学数学系
报告时间：2026年5月19日（周二）上午10:00-11:00
报告地点：数学学院A321
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报告人及报告内容简介：
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學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。
Abstract: In this talk, we study a new splitting method for the stiff semi-linear ODEs, where the linear part is stiff. Firstly, we split the linear part into two parts: The first stiff part, that is called the stiff-cutter and expected to be easily inverted, is implicitly treated. The second stiff part and the remaining nonlinear part are explicitly treated. Therefore, such stiff-cut method can be fastimplemented and save the CPU time. Theoretically, we rigorously prove that the proposed method is unconditionally stable and convergent, if the stiff-cutter is proposed chosen to be dominant in the stiff part. As an application, we apply our method to solve a spatial-fractional reaction-diffusion equation and give a way for how to choose a suitable stiff-cutter. Finally,numerical experiments are carried out to illustrate the accuracy and efficiency of the proposed stiff-cut method.