The method of layer potentials is one of the classical approaches to solving boundary problems for Laplace's equations.In this talk,let Ω be a bounded poly
The conditioning of GFEM could be worse than the standard FEM.We will show that if the angle between the underlying piecewise linear FE space and the enrich
In this mini-symposium,we will mainly discuss new developments and open questions concerning the approximation of singular solutions of partial differential
The Monge-Ampère equation is a nonlinear partial differential equation with a geometric theory due to Aleksandrov.Solutions of the Monge-Ampère equation a
In this paper,we modify the classical social force model to be more realistic in the emergent situations,and use it to investigate the crowd panic under ful
This paper proposes an optimization-based collision avoidance model for pedestrian dynamics.In this model,the behaviors of pedestrians are governed by their
The averaging theory is a fundamental tool to investigate the stability of time-varying systems.The application of averaging theory to the field of consensu
Cooperators that refuse to participate in sanctioning defectors create the second-order free-rider problem.Such cooperators will not be punished because the