Analysis and Applications of Nonlocal Models
Explore the fascinating world of nonlocal models in this 44-minute SIAM Invited Address given by Qiang Du from Columbia University at the Virtual Joint Mathematics Meetings. Delve into the comparison between local and nonlocal approaches, and discover the growing interest in nonlocal models in recent decades. Learn about nonlocal vector calculus for finite-range interactions and examine various examples of nonlocal operators. Investigate the opportunities and challenges presented by nonlocal modeling, including interactions with a finite horizon parameter. Gain insights into robust numerical discretization techniques and solutions for nonlocal models. The lecture concludes with references and further discussions on this intriguing mathematical topic.