3 citations · 3 across the 3 of their papers we have counts for
3 papers
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…
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…