On the Chebyshev-tau approximation for some singularly perturbed two point boundary value problems – Numerical experiments

AbstractIn this paper we are concerned with numerical stability of Chebyshev-tau method in solving some singularly perturbed two-point boundary value…

A unified treatment of boundary layer and lubrication approximations in viscous fluid mechanics

AbstractIt is a matter of every day experience to find the boundary layer and lubrication approximations exposed as if they…

Spectral methods in linear stability. Applications to thermal convection with variable gravity field

AbstractThe onset of convection in a horizontal layer of fluid heated from below in the presence of a gravity field…

Accuracy of numerical simulations of contaminant transport in heterogeneous aquifers: A comparative study

AbstractThis work deals with a comparison of different numerical schemes for the simulation of contaminant transport in heterogeneous porous media.…

A mixed finite element discretization scheme for a concrete carbonation model with concentration-dependent porosity

AbstractWe investigate a prototypical reaction–diffusion-flow problem in saturated/unsaturated porous media. The special features of our problem are twofold: the reaction produces…