6 citations · 10 across the 10 of their papers we have counts for
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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…
Arbitrary high-order unconditionally stable methods for reaction-diffusion equations with inhomogeneous boundary condition via Deferred Correction
Saint-Cyr E. R. Koyaguerebo-Imé, Yves Bourgault
In this paper we analyse full discretizations of an initial boundary value problem (IBVP) related to reaction-diffusion equations. To avoid possible order reduction, the IBVP is fi…
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…