Semi-Implicit Time-Discretization Schemes for the Bidomain Model. - Marc Ethier; Yves Bourgault (SIAM J. Numer. Anal., 2008)

Application of Parallel Processing to the Simulation of Heart Mechanics. - Matthew G. Doyle; Stavros Tavoularis; Yves Bourgault (HPCS, 2009)

Anisotropic Error Estimates and Space Adaptivity for a Semidiscrete Finite Element Approximation of the Transient Transport Equation. - Yves Bourgault; Marco Picasso (SIAM J. Sci. Comput., 2013)

On the performance of anisotropic mesh adaptation for scroll wave turbulence dynamics in reaction-diffusion systems. - Youssef Belhamadia; André Fortin; Yves Bourgault (J. Comput. Appl. Math., 2014)

Image-Based Modeling of the Heterogeneity of Propagation of the Cardiac Action Potential. Example of Rat Heart High Resolution MRI. - Andela Davidovic; Yves Coudière; Yves Bourgault (FIMH, 2017)

Adjustment of Parameters in Ionic Models Using Optimal Control Problems. - Diogène Vianney Pongui Ngoma; Yves Bourgault; Mihaela Pop; Hilaire Nkounkou (FIMH, 2017)

A Numerical Method for the Optimal Adjustment of Parameters in Ionic Models Accounting for Restitution Properties. - Jacob Pearce-Lance; Mihaela Pop; Yves Bourgault (FIMH, 2019)

Anisotropic residual based a posteriori mesh adaptation in 2D: Element based approach. - Edward Boey; Yves Bourgault; Thierry Giordano (J. Comput. Appl. Math., 2019)

Analysis of time-stepping methods for the monodomain model. - Thomas Roy; Yves Bourgault; Charles Pierre (Comput. Appl. Math., 2020)

Finite difference and numerical differentiation: General formulae from deferred corrections. - Saint-Cyr E. R. Koyaguerebo-Imé; Yves Bourgault (CoRR, 2020)

Arbitrary high-order unconditionally stable methods for reaction-diffusion equations via Deferred Correction: Case of the implicit midpoint rule. - Saint-Cyr E. R. Koyaguerebo-Imé; Yves Bourgault (CoRR, 2020)

Implicit and semi-implicit second-order time stepping methods for the Richards equation. - Sana Keita; Abdelaziz Beljadid; Yves Bourgault (CoRR, 2021)

Efficient second-order semi-implicit finite element method for fourth-order nonlinear diffusion equations. - Sana Keita; Abdelaziz Beljadid; Yves Bourgault (Comput. Phys. Commun., 2021)

Mass-conservative and positivity preserving second-order semi-implicit methods for high-order parabolic equations. - Sana Keita; Abdelaziz Beljadid; Yves Bourgault (J. Comput. Phys., 2021)

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 (Comput. Methods Appl. Math., 2023)

A hybrid finite element method for moving-habitat models in two spatial dimensions. - Jane Shaw MacDonald; Yves Bourgault; Frithjof Lutscher (CoRR, 2023)