We introduce an accurate and efficient method for the evaluation of a class of free space nonlocal potentials,such as the free space Coulomb and Poisson pot
An immersed finite volume element method is developed to solve the 2D-elliptic interface problem with variable coefficients and nonhomogeneous jump conditio
We prove upper bounds on the order of convergence of Frolov's cubature formula for numerical integration in function spaces of dominating mixed smoothness o
The best known upper bound for the minimal star discrepancy of a point set in the d-dimensional unit cube with explicit dependence on the dimension and on t
Usually it is assumed that the QMC method for numerical integration is carried out with respect to the uniform measure on a multi-dimensional unit cube.