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
Numerical methods for high dimensional integration and approximation play a crucial role in a number of applications.This session brings together experts fr
In this talk,we will review several recent result in PDE constrained optimization with pointwise constraints on the gradient of the state.This includes barr
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 sys
Radial basis function(RBF)methods for PDEs remain challenging computationally because they produce matrix problems that are dense and ill conditioned as the