On the second-order convergence of a function reconstructed from finite volume approximations of the Laplace equation on Delaunay-Voronoi meshes

A second order Ordinary Differential Equation for the frequency domain Green function..

shallow water, well-balanced approximation, invariant domain, second-order method, finite element method, positivity preserving.. AMS

In this paper we prove that a similar result holds in the Heisenberg group, by showing that every continuous H –convex function belongs to the class of functions whose second

Key words: Second elliptic boundary problems, Finite volume solution, Scheme of three points in one dimensional space, Scheme of five points in two dimensional space, Non-Uniform

The pathwise error analysis of numerical schemes for SDE has been intensively studied [12, 21, 26, 30], whereas the weak error analysis started later with the work of Milstein [24,

In order to obtain an energy estimate without any condition on the time step ∆t, we choose a time discretization for the non-linear terms such that the right hand side of (3.4) is

Then we show the convergence of a sequence of discrete solutions obtained with more and more refined discretiza- tions, possibly up to the extraction of a subsequence, to a

Bouriah and M.Darwish, Nonlinear Boundary Value Problem for Implicit Differential Equations of Fractional Order in Banach Spaces, Fixed Point Theory (to appear).. Bouriah, Existence