A well-know spurious numerical phenomenon in simulating the hyperbolic conservation laws with stiff source term may occur due to the underresolved numerical solution.
An investigation is made on the effect of Hall currents on thermal instability of a compressible couple-stress fluid in the presence of horizontal magnetic field saturated in a porous medium is consid
We propose the eigenvalue problem of an anisotropic diffusion operator for image segmentation.The diffusion matrix is defined based on the input image.
A parareal in time algorithm is proposed to solve the optimal control problems of evolution equations.This method is to solve the first order optimality system by a time domain decomposition technique
This talk is on implementing the Multivariate Decomposition Method(MDM)for approximating integrals over the infinite-dimensional unit cube,see "The multivariate decomposition method for infinite-dimen
The discontinuous Galerkin(DG)method is known to provide high resolution properties,especially when applying after long time run.In this talk,we consider analyzing the error behavior of the DG method
An efficient and reliable a-posteriori error estimator is developed for a characteristic-Galerkin FEM for time-dependent convection-dominated problems.
In this talk,we present an efficient and accurate numerical method for computing the dynamics of rotating two-component Bose-Einstein condensates which is described by coupled Gross-Pitaevskii equatio
Up to now,the mathematicians think that the symplectic finite difference schemes for solving nonlinear partial differential equations could not preserve the total energy in the discrete sense.