For strongly interacting electronic systems,the Kohn-Sham formulation of density-functional theory leads to an optimal transport problem with Coulomb cost function.In this framework of "strictly corre
An kinetic scheme is developed to solve the Baer-Nunziato model of compressible two-phase flows.Based on the kinetic theory,the conservative flux function of the model were split by the movement of mi
Olfactory processing in the brain exhibits a number of rhythms,which signify enhanced coherence among many neurons.While the faster gamma rhythm is generated within the olfactory bulb,the slower beta
We present a 3D lattice model to study self-assembly of multicellular aggregates by using kinetic Monte Carlo(KMC)simulations.This model is developed to describe and predict the time evolution of post
We focus on an inverse problem of reconstructing the left boundary values for parabolic problems(IPLB)given right boundary values.An implicit finite difference(FD)method is firstly employed to solve t
We consider Abel transform based density reconstruction for axially symmetric objects from a single radiograph by fan-beam x-rays.All contemporary methods assume that the density is piecewise constant
A spectral difference method is applied to get numerical solutions for a fluid-lubricated herringbone grooved journal bearing,and an inexpedience which Fourier series does not converge at jump points
The Laplace transform with hyperbolic contour is exploited to solve space-fractional diffusion equations.By making use of the Toeplitzlike structure of spatial discretized matrices and the relevant pr
We present optimal error estimates for spectral Galerkin methods and spectral collocation methods for linear fractional differential equations with initial value or boundary values on a finite interva