题目:Numerical Methods for Several Fractional PDEs
时间:2021年09月16号(周四)下午4:00-5:00
地点:曲江校区5822yh银河国际会议室9-320
摘要: In this talk, several numerical methods for time/space fractional PDEs will be discussed. Firstly, we will talk about numerical methods for space fractional differential equations, including finite difference methods, finite element methods, and differential quadrature methods (meshless method). We emphasize that the finite element methods and differential quadrature methods are effective on complex domains. Secondly, we will focus on time fractional PDEs with nonlinear source term and discuss the convergence of L1 scheme and WSGD scheme combined with the finite element method, separately, and the optimal error estimations for those schemes will be given. At last, some conclusions are given on those methods.
报告人简介:聂玉峰,西北工业大学数学与统计学院院长,博士研究生导师,国际杂志《International Journal of Numerical Analysis and Modeling》执行主编,陕西省数学会副理事长,陕西省工业与应用数学学会副理事长,中国工业与应用数学学会常务理事,教育部大学数学教学指导委员会委员,西安市科学计算与应用统计重点实验室主任。科研方面,从事大规模科学计算的模型、理论与方法研究,主持完成国家级项目5项,发表科研论文150余篇。人才培养方面,指导毕业硕士、博士研究生80余名;曾获宝钢优秀教师奖、陕西省教学名师奖等荣誉。