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理学院迎百年校庆系列报告(十二):Spectral Methods for Some Problems Having Low Regularity Solutions
[ 作者:姜薇 来源:理学院 浏览:10 录入时间:2019年08月31日 ]


报告时间:201994 15:30-16:30

报告地点:H203

报告摘要:In this talk we will present a new spectral method for a class of equations with non-smooth solutions. The proposed method makes use of the fractional polynomials, also known as Muntz polynomials. We first present some basic approximation properties of the Muntz polynomials, including error estimates for the weighted projection and interpolation operators. Then we will show how to construct efficient spectral methods by using the Muntz polynomials. A detailed convergence analysis will be provided. The potential application of this method covers a large number of problems, including classical elliptic equations, integro-differential equations with weakly singular kernels, fractional differential equations, and so on.

 

报告人简介:许传炬

    大学数学科学学院教授,江特聘教授1986年厦大学本科毕业,1989年法国巴黎第十一大学士,1993年法国巴黎第六大学博士毕业1993年起在厦大学数学系任教,先后访问或兼几所国知名大学,包括法国尼斯大学、波多大学、普瓦捷大学,美国普渡大学,新加坡国立大学和南洋理工大学等。主要从事算流体力学和算材料力学的数研究,先后主持国家自然科学基金6,科技部“中法先研究划”1在有影响的学术期刊发表论文70多篇,被国际同行引用超2000次,并担任多个国际学术期刊编委,特别是顶级学术期刊SIAM Journal of Scientific Computing的编委。


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