Numerical solution of the time-dependent Dirac equation in coordinate space without fermion-doubling. - François Fillion-Gourdeau; Emmanuel Lorin; André D. Bandrauk (Comput. Phys. Commun., 2012)

Absorbing boundary conditions for relativistic quantum mechanics equations. - Xavier Antoine; Emmanuel Lorin; J. Sater; François Fillion-Gourdeau; André D. Bandrauk (J. Comput. Phys., 2014)

A split-step numerical method for the time-dependent Dirac equation in 3-D axisymmetric geometry. - François Fillion-Gourdeau; Emmanuel Lorin; André D. Bandrauk (J. Comput. Phys., 2014)

Galerkin method for unsplit 3-D Dirac equation using atomically/kinetically balanced B-spline basis. - François Fillion-Gourdeau; Emmanuel Lorin; André D. Bandrauk (J. Comput. Phys., 2016)

Pseudospectral computational methods for the time-dependent Dirac equation in static curved spaces. - Xavier Antoine; François Fillion-Gourdeau; Emmanuel Lorin; Steve McLean (CoRR, 2019)

Simple digital quantum algorithm for symmetric first-order linear hyperbolic systems. - François Fillion-Gourdeau; Emmanuel Lorin (Numer. Algorithms, 2019)

Pseudospectral computational methods for the time-dependent Dirac equation in static curved spaces. - Xavier Antoine; François Fillion-Gourdeau; Emmanuel Lorin; Steve MacLean (J. Comput. Phys., 2020)

Quantum Algorithms for Quantum and Classical Time-Dependent Partial Differential Equations. - François Fillion-Gourdeau (ERCIM News, 2022)

Hierarchy of Simple Mathematical Models for Electron Dynamics on Strained Graphene. - François Fillion-Gourdeau; Emmanuel Lorin; Steve MacLean (Multiscale Model. Simul., 2025)