CAM Colloquium: Qiang Du (Applied Physics and Applied Mathematics, Columbia University) - Top signs to consider nonlocal modeling

Description

Abstract:
In recent years, nonlocality has been given increasing attention in the modeling of various complex systems, especially in the presence of anomalies and singularities. The effective modeling and simulation of nonlocal interactions bring on new challenges to mathematicians and many questions remain open. In particular, it is interesting to ask what are the important signs for one to consider nonlocal models, represented by nonlocal integral operators, as potentially helpful alternatives to traditional partial differential equations. We will present examples to address this question. We will further discuss some related mathematical and computational issues, as well as some recent applications ranging from classical mechanics to traffic flows of autonomous and connected vehicles.

Bio:
Qiang Du is the Fu Foundation Professor of Applied Mathematics of Columbia University where he is also a faculty of Data Science Institute and co-chairs the Center of Computing Systems for Data-driven Science. Some of the recognitions for his work include Frame Faculty Teaching Award, Feng Kang Prize in Scientific Computing, SIAM Outstanding Paper Prize, and USACM Hughes Medal. He is also a fellow of SIAM, AMS and AAAS and was an invited speaker of the International Congress of Mathematicians. He currently serves as the EIC of SIAM Journal of Applied Mathematics and the founding co-EIC of Communications of the American Mathematical Society.