报告题目: Müntz polynomials and approximation property
报告时间:9月25日下午4点20分
报告地点:工4-605
主办单位:数学与统计学院
报告摘要:
In this talk we consider a new interpolation method for the Müntz polynomials, which are extension of the classical polynomials.
Based on the sample space spanned by the Müntz polynomials, we discuss the so-called empirical interpolation method to generate
the interpolation points and basis functions. The efficiency of the proposed method are verified through carefully examining the approximation properties of some classes of singular functions. The applicability of the new interpolation method is demonstrated by numerically solving some kind of integro-differential equations having limited regularity.
报告人简介:
许传炬,厦门大学数学科学学院特聘教授,博士生导师。1986年厦门大学本科,1989年巴黎南大学硕士,1993年巴黎第六大学博士。研究领域包括: 计算流体谱元法, 相场模型及其算法,分数阶偏微分/积分方程理论和数值计算等。合作/工作过的研究机构包括法国尼斯大学、波尔多大学、普瓦捷大学,丹麦理工大学, 美国普渡大学,新加坡国立大学和南洋理工大学,香港浸会大学等。 在有影响的学术期刊发表论文100多篇,研究成果被国际同行引用超4000多次。现担任Mathematics and Computers in Simulation, Communications on Applied Mathematics and Computation, SIAM Journal of Scientific Computing 等8个专业期刊的编委。