Tensor-train(TT)decompositions can enable dramatic compression of arrays arising from discretizations of high dimensional functions.In many applications,how
This talk is concerned with low-rank approximations of solution manifolds of parametric diffusion equations,with a particular focus on the case of piecewise
We apply Tensor Train approximation to solve stochastic elliptic PDE with stochastic Galerkin discretization.We compare two strategies of the polynomial cha
This talk concerns a low-rank approximation method for the model reduction of non-linear parametric dynamical systems.The proposed approach combines the con
We propose a general-purpose algorithm and computational code for the solution of Partial Differential Equations(PDEs)on random geometry and with random par
In this talk we will discuss the Semilinear fourth order Schr¨odinger operator and its Carleman estimate.The Carleman estimate is used to prove the Lipschi
We propose a Generalized Multiscale Finite-Element Method for elastic wave propagation in heterogeneous,anisotropic media,where we construct basis functions
We propose and analyze a multiscale method for the wave equation.The proposed method does not require any assumptions on space regularity or scale-separatio
We develop and analyze a robust and efficient Generalized Multiscale Finite Element Method(GMsFEM)for the Brinkman model in two dimensions.Using the GMsFEM
This talk is focussed on the analytic properties,including the threshold,mass concentration and symmetry breaking,of ground states for Bose-Einstein condens