讲座:A characteristic ADI finite difference method for spatial-fractional convection-dominated diffusion equation

作者: 时间:2020-10-12 点击数:

主讲人:翁智峰

主讲人工作单位:华侨大学

时间: 2020年10月13日09:00

地点: 腾讯会议 ID:547 584 496

主讲人简介:翁智峰,华侨大学副教授,硕士生导师,在武汉大学获得博士毕业。研究方向:微分方程数值计算、非局部相场模型和最优控制问题的数值计算。目前主持国家自然科学基金青年基金和中央高校基本科研业务费专项资金资助各一项。2017年入选泉州市高层次人才;2018年获得第十三届福建省自然科学优秀学术论文三等奖;2019年入选华侨大学“中青年教师科技创新人才资助计划”. 在Journal of Computational Physics,Journal of Science   Computin,International Journal of Heat and Mass Transfer等期刊发表SCI收录论文30余篇,目前担任美国《Mathematical Review》评论员.

讲座主要内容:Based on characteristic method and shifted Grünwald fractional difference method, a characteristic finite   difference method is proposed for solving the one/two/three-dimension   spatial-fractional convection-dominated diffusion equation. The resulting   schemes are first-order accuracy in time and second-order accuracy in space.   For high-dimensional problems, alternating direction implicit (ADI) schemes   are further proposed. The stability and convergence properties of these   schemes are discussed. Numerical experiments are carried out to support the   theoretical analysis, and some comparisons with the implicit upwind finite   difference scheme are presented to show the effectiveness of the proposed   method.

组织单位:数学与金融学院


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