广州数学大讲坛第40期

日本山形大学方青教授学术报告

时间:2021-09-26 点击数:

日本山形大学数理科学科方青教授学术报告


题目:Solution Derivatives with Superconvergence for FDM to BVP of Phenomena Models

时间:2021年9月28日(周二),下午15:00—16:30

地点:Zoom ID: 880 2505 5933;密码: 022265

报告人:方青,日本山形大学教授


摘要

We formulate the finite difference method like the Shortley–Weller scheme as a special finite element or volume method for second-order self-adjoint elliptic partial differential equations. We then analyze the convergence of the method in a finite element framework so that solution derivatives for finite difference methods make sense in numerical analysis of PDEs. We take a superconvergence analysis for the solution derivativesof the finite difference approximation tosingular boundary value problems with exact solutions having unbounded derivatives. Numerical experiments are provided to support the theoretical convergence rate obtained.


报告人简介:

方青,日本山形大学数理科学科教授,1992年毕业于日本广岛大学,获得博士学位。在国际期刊Numerical Functional Analysis & Optimization, Journal of Computational and Applied Mathematics, Information, Numerical Algebra Control and Optimization, Applied Numerical Mathematics, Japan Journal of Industrial and Applied Mathematics, Computing, Numerical Linear Algebra and Applications, Journal of Mathematical Biology, Hiroshima Mathematical Journal, The Journal of Physical Chemistry等发表40余篇学术论文.

主持科研项目5项:

(1) 2006-2008, No.18540107, Study onNumerical Methods and Its Analysis for Partial Differential Equations with Singular Solutions.

(2) 2009-2011, No.21540106, Study on Verified Numerical Methods for Partial Differential Equations with Singular Solutions.

(3) 2012-2014, No.24540108, New Development of Numerical Methods for Partial Differential Equations with Singularities.

(4) 2015-2017, No.15K04987, Higher Order Numerical Methods and Their Numerical Analysis for Mathematical Models of Taxis Phenomena.

(5) 2019-2022, No.19K03613, Study on Higher Order Numerical Methods and Dynamical Behavior of Solutions for Mathematical Models of Periodic Precipitation.

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