3 citations · 3 across the 2 of their papers we have counts for
6 papers
Implicit and semi-implicit second-order time stepping methods for the Richards equation
Keita Sana, Beljadid Abdelaziz, Bourgault Yves
This study concerns numerical methods for efficiently solving the Richards equation where different weak formulations and computational techniques are analyzed. The spatial discret…
Mass-conservative and positivity preserving second-order semi-implicit methods for high-order parabolic equations
Sana Keita, Abdelaziz Beljadid, Yves Bourgault
We consider a class of finite element approximations for fourth-order parabolic equations that can be written as a system of second-order equations by introducing an auxiliary vari…
Efficient second-order semi-implicit finite element method for fourth-order nonlinear diffusion equations
Sana Keita, Abdelaziz Beljadid, Yves Bourgault
We focus here on a class of fourth-order parabolic equations that can be written as a system of second-order equations by introducing an auxiliary variable. We design a novel secon…
Finite difference and numerical differentiation: General formulae from deferred corrections
Saint-Cyr E. R. Koyaguerebo-Imé, Yves Bourgault
This paper provides a new approach to derive various arbitrary high order finite difference formulae for the numerical differentiation of analytic functions. In this approach, vari…
Arbitrary high order A-stable and B-convergent numerical methods for ODEs via deferred correction
Saint-Cyr E. R. Koyaguerebo-Ime, Yves Bourgault
This paper presents a sequence of deferred correction (DC) schemes built recursively from the implicit midpoint scheme for the numerical solution of general first order ordinary di…
A note on the Riemann solutions to the isentropic Euler equations in the vanishing pressure limit
Sana Keita, Yves Bourgault
The behaviour of the solutions to the Riemann problem for the isentropic Euler equations when the pressure vanishes is analysed. It is shown that any solution composed of a 1-shock…