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韩国高丽大学Junseok Kim教授学术报告通知
日期:   2016-11-03          点击量:   157

        应数学与统计学院的邀请,韩国高丽大学Junseok Kim教授将来校讲学,报告信息如下:

        题目(一):A phase-field model and its hybrid numerical scheme for the tissue growth
        时间:11月4日上午10:00 - 11:00
        地点:理科楼408

        摘要:
        We consider phase-field models and associated numerical methods for tissue growth. The model consists of the Cahn-Hilliard equation with a source term. In order to solve the equations accurately and efficiently, we propose a hybrid method based on an operator splitting method. First, we solve the contribution from the source term analytically and redistribute the increased mass around the tissue boundary position. Subsequently, we solve the Cahn-Hilliard equation using the nonlinearly gradient stable numerical scheme to make the interface transition profile smooth. We then perform various numerical experiments and find that there is a good agreement when these computational results are compared with analytic solutions.

        题目(二):Numerical simulation of the zebra pattern formation
        时间:11月6日上午10:00 - 11:00
        地点:理科楼407

        摘要:In this talk, we numerically investigate the zebra skin pattern formation on the surface of a zebra model in three-dimensional space. To model the pattern formation, we use the Lengyel—Epstein model which is a two component activator and inhibitor system. The concentration profiles of the Lengyel—Epstein model are obtained by solving the corresponding reaction-diffusion equation numerically using a finite difference method. We represent the zebra surface implicitly as the zero level set of a signed distance function and then solve the resulting system on a discrete narrow band domain containing the zebra skin. The values at boundary are dealt with an interpolation using the closet point method. We present the numerical method in detail and investigate the effect of the model parameters on the pattern formation on the surface of the zebra model.       

        报告人简介:
        Junseok Kim韩国高丽大学(2014 QS世界排名116,QS亚洲排名19)正教授, 韩国工业应用数学学会理事,Journal of the Korean Society for Industrial and Applied Mathematics副主编。Junseok Kim教授1994年在韩国高丽大学数学专业获得学士学位;1997年在韩国首尔大学获得应用数学硕士学位;随后进入美国明尼苏达大学攻读博士课程,师从John Lowengrub(美国加州大学欧文分校的Chancellor's Professor,SIAM Julian Cole Lectureship奖获得者)并于2002年获得博士学位。之后在美国明尼苏达大学,加州大学欧文分校做博士后研究员工作。2006年回到韩国高丽大学。Junseok Kim教授主要从事以应用为导向的数学研究,研究领域为生物计算,计算流体,图像处理,期货预测等,已发表论文128篇,其中SCI论文111篇。

        欢迎感兴趣的师生参加!

 


 

 
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