英国切斯特大学闫玉斌教授学术报告通知

作者:李灿 审核人:沈晓芹 点击:[]

活动地点 腾讯会议:718 884 316

题目Galerkin finite element approximation of a stochastic semilinear fractional subdiffusion with fractionally integrated additive noise

报告人:闫玉斌(University of Chester,UK

报告时间:202212 20日(周二)下午16:30-18:30

腾讯会议ID: 718 884 316

摘要: A Galerkin finite element method is applied to approximate the solution of a semilinear stochastic space and time fractional subdiffusion problem with the Caputo fractional derivative of the order   , driven by fractionally integrated additive noise. After discussing the existence, uniqueness and regularity results, we approximate the noise with the piecewise constant function in time in order to obtain a regularized stochastic fractional subdiffusion problem. The regularized problem is then approxim -ated by using the finite element method in spatial direction. The mean squared errors are proved based on the sharp estimates of the various Mittag-Leffler functions involved in the integrals. Numerical experiments are conducted to show that the numerical results are consistent with the theoretical findings. This is a joint work with Prof. Amiya Pani, IIT Bombay, India. [Ref:W. Kang, B.A. Egwu, Y. Yan, A.K. Pani, IMA Journal of Numerical Analysis, 42(2022), 2301-2335].

报告人简介闫玉斌,英国切斯特大学数学系教授。1997-2003年在瑞典查尔姆斯工业大学数学系攻读博士学位,分别在英国曼切斯特大学数学系和英国谢菲尔德大学工程系从事博士后研究工作。主要从事分数阶微分方程、随机偏微分方程的有限元和有限差分方法的研究工作,在一些研究领域做出了开创性的研究工作,如在2005年给出了随机抛物方程Galerkin有限元的误差估计新框架[SIAM J. Numer. Anal., 43 (2005), 1363-1384],该工作为该领域的重要参考文献。现为 Mathematics Review (数学评论)的评论员,担任包括Applied Numerical Mathematics, Frontier of Physics等在内的多个知名学术期刊的编委,SIAM. J. Numerical Analysis 30多个种国际期刊的审稿人,英国工程和物理科学研究基金的评审员。在国际权威学术期刊SIAM J. Numerical Analysis, IMA J. Numerical Analysis 等发表学术论文70余篇。研究工作得到同行的广泛认可,谷歌引用1360多次。



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