Predicting measurable thermodynamic and kinetic properties of solids from first-principles requires the use of statistical mechanics. A major challenge for materials of technological importance arises from the fact that first-principles electronic structure calculations of elementary excited...

A stochastic numerical scheme for an extended immersed boundary method which incorporates thermal fluctuations for the simulation of microscopic biological systems consisting of fluid and immersed elastica was introduced in reference [2]. The numerical scheme uses techniques from stochastic...

In this paper, the weak form of the mathematical model of the traffic flow is adopted. Theoretical analyses of the discontinuous solutions of the red-and-green light models are discussed. The discontinuous Galerkin finite element method is used to numerically simulate the problems. The numerical...