We use the local orthogonal decomposition technique to derive a generalized finite element method for linear and semilinear parabolic equations with spatial
Recently,one debate in the literature is whether the fractional Schrodinger equation in an infinite potential well has the same eigenfunctions as those of i
In this talk,we first introduce a numerical model for the Green-Naghdi equation.Two numerical schemes,including spectral methods and discontinuous Galerkin(
Nonlinear dispersive wave equations have applications in various fields,such as quantum mechanics,nonlinear optics,fluid dynamics,electromagnetic theory and
Many porous media applications exhibit complex microstructure and are multiscale in nature.The possible applications include heat conduction in metallic foa
We study analytically and asymptotically as well as numerically ground states and dynamics of two-component spin-orbit-coupled Bose-Einstein condensates(BEC
Split-step methods have been widely used in solving timedependent PDEs.In this talk,we discuss the numerical stability of the splitstep method for solving t
We bring together researchers working on macroscopic models based on partial differential equations for modeling nonlinear phenomena in traffic or productio