In this talk,we present an efficient and accurate numerical method for computing the dynamics of rotating two-component Bose-Einstein condensates which is d
During the last 50 years,there has been a wide interest in the study of nonlinear Hamiltonian systems,especially Hamiltonian PDEs.Among which an important c
Up to now,the mathematicians think that the symplectic finite difference schemes for solving nonlinear partial differential equations could not preserve the
An efficient and reliable a-posteriori error estimator is developed for a characteristic-Galerkin FEM for time-dependent convection-dominated problems.
The discontinuous Galerkin(DG)method is known to provide high resolution properties,especially when applying after long time run.In this talk,we consider an
We present an algorithm based on the active set strategy to simulate crack propagation using a quasi-static fracture model.The crack is discretized using a
This talk is on implementing the Multivariate Decomposition Method(MDM)for approximating integrals over the infinite-dimensional unit cube,see "The multivar
QPT(quasi-polynomial tractability)is well understood for for linear multivariate problems in various settings when linear information is used.We present cur
We compare the average errors of linear and non-linear approximations assuming that the coefficients in an orthogonal expansion are scaled i.i.d.random vari