ABSTRACT Firstly we propose a series of temporal high-order parametric finite element methods to simulate curvature flows....

ABSTRACT We consider quasilinear systems of partial differential equations consisting of two hyperbolic operators interacting dissipatively....

ABSTRACT In this talk, I will present our recent advancements in solving partial differential equations (PDEs) and discovering models in complex systems....

ABSTRACT The talk shows that in second-order hyperbolic systems of partial differential equations proposed in authors’ earlier paper (J. Math. Phys....

ABSTRACT The Kyle-Back Strategic Insider Trading is one of the most intriguing equilibrium models of asymmetric information in market microstructure theory, and has been studied extensively during ...

ABSTRACT The aim of this talk is to discuss recent progress on the convergence problem in mean-field control theory and the study of associated nonlinear PDEs....

ABSTRACT We propose a temporal coupled mode theory approach that allows for coupling/decoupling asymmetry of the resonant modes in 2D dielectric metasurfaces....

ABSTRACT Most mathematical theories of homogenization are asymptotic – i.e....

ABSTRACT Geometric evolutions can arise as part of reduced models or fundamental building blocks in various applications with moving boundaries and time-dependent domains, such as grain boundaries ...

ABSTRACT Electromagnetic interface problems widely appear in a lot of engineering applications, such as electric actuators, invasive detection techniques and integrated circuit，which are typically ...