We combine a compact high-order diierence approximation with multigrid V-cycle algorithm to solve the two dimensional Poisson equation with Dirichlet boundary conditions. This scheme, along withâ€¦ (More)

diffusion equations using a nine-point compact difference scheme. implementation with multigrid, and carry out a Fourier We test the efficiency of the algorithm with various smoothers and smoothingâ€¦ (More)

We consider the solution of the convection-diffusion equation in two dimensions by a compact highorder 9-point discretization formula combined with multigrid algorithm. We prove the -asymptoticâ€¦ (More)

Aerosol-cloud interactions in the NASA GMI: model development and indirect forcing assessments N. Meskhidze, R. E. P. Sotiropoulou, A. Nenes, J. Kouatchou, B. Das, and J. M. Rodriguez School of Earthâ€¦ (More)

We combine a high order compact finite difference approx-imation and collocation techniques to numerically solve the two dimensional heat equation. The resulting method is implicit arid can beâ€¦ (More)

We derive a family of fourth order nite diierence schemes on the rotated grid for the two dimensional convection diiusion equation with variable coeecients. In the case of constant convectionâ€¦ (More)

We present a multigrid solution of the three dimensional Poisson equation with a fourth order 19-point compact nite diierence scheme. Using a red-black ordering of the grid points and some geometricâ€¦ (More)

In this paper we combine finite difference approximations (for spatial derivatives) and collocation techniques (for the time component) to numerically solve the two dimensional heat equation. Weâ€¦ (More)