We report on a series of rigorous results on the existence of ground states and excited states for various weakly coupled,semilinear nonlinear elliptic PDEs arising in electronic structure models of m
This work has been motivated by the observation that the harmonic approximation becomes inadequate when the coarse-grain variables undergo large changes.
We present new spectral solvers for time evolution of Partial Differential Equations in general domains.Based on the novel Fourier-Continuation(FC)method for the resolution of the Gibbs phenomenon,the
As the radiation of energy to the far field is an important feature of most problems in wave theory,accurate and efficient near-field approximate radiation conditions are a necessary component of any