A numerical Maxwell-Schrödinger model for intense laser-matter interaction and propagation. - Emmanuel Lorin; Stephan Chelkowski; André D. Bandrauk (Comput. Phys. Commun., 2007)

Two-Dimensional Extension of the Reservoir Technique for Some Linear Advection Systems. - François Alouges; Gérard Le Coq; Emmanuel Lorin (J. Sci. Comput., 2007)

Efficient Parallel Computing for Laser-Gas Quantum Interaction and Propagation. - Emmanuel Lorin; André D. Bandrauk (HPCS, 2008)

A Maxwell-Schrödinger-Plasma Model and Computing Aspects for Intense, High Frequency and Ultrashort Laser-Gas Interaction. - Emmanuel Lorin; André D. Bandrauk (HPCS, 2009)

Multiresolution scheme for Time-Dependent Schrödinger Equation. - Emmanuel Lorin; André D. Bandrauk (Comput. Phys. Commun., 2010)

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)

Efficient and accurate numerical modeling of a micro-macro nonlinear optics model for intense and short laser pulses. - Emmanuel Lorin; André D. Bandrauk (J. Comput. Sci., 2012)

On the numerical approximation of one-dimensional nonconservative hyperbolic systems. - Noel Chalmers; Emmanuel Lorin (J. Comput. Sci., 2013)

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)

Domain Decomposition Method and High-Order Absorbing Boundary Conditions for the Numerical Simulation of the Time Dependent Schrödinger Equation with Ionization and Recombination by Intense Electric Field. - Xavier Antoine; Emmanuel Lorin; André D. Bandrauk (J. Sci. Comput., 2015)

Lagrange-Schwarz Waveform Relaxation domain decomposition methods for linear and nonlinear quantum wave problems. - Xavier Antoine; Emmanuel Lorin (Appl. Math. Lett., 2016)

Frozen Gaussian approximation-based two-level methods for multi-frequency Schrödinger equation. - Emmanuel Lorin; Xu Yang 018 (Comput. Phys. Commun., 2016)

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)

Frozen Gaussian approximation based domain decomposition methods for the linear Schrödinger equation beyond the semi-classical regime. - Emmanuel Lorin; Xu Yang 018; Xavier Antoine (J. Comput. Phys., 2016)

Computational performance of simple and efficient sequential and parallel Dirac equation solvers. - Xavier Antoine; Emmanuel Lorin (Comput. Phys. Commun., 2017)

An analysis of Schwarz waveform relaxation domain decomposition methods for the imaginary-time linear Schrödinger and Gross-Pitaevskii equations. - Xavier Antoine; Emmanuel Lorin (Numerische Mathematik, 2017)

Multilevel preconditioning technique for Schwarz waveform relaxation domain decomposition method for real- and imaginary-time nonlinear Schrödinger equation. - Xavier Antoine; Emmanuel Lorin (Appl. Math. Comput., 2018)

Nonlinear Nonperturbative Optics Model Enriched by Evolution Equation for Polarization. - Marianna Lytova; Emmanuel Lorin; André D. Bandrauk (Multiscale Model. Simul., 2018)

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

On the rate of convergence of Schwarz waveform relaxation methods for the time-dependent Schrödinger equation. - Xavier Antoine; Emmanuel Lorin (J. Comput. Appl. Math., 2019)

Towards Perfectly Matched Layers for time-dependent space fractional PDEs. - Xavier Antoine; Emmanuel Lorin (J. Comput. Phys., 2019)

A simple pseudospectral method for the computation of the time-dependent Dirac equation with Perfectly Matched Layers. - Xavier Antoine; Emmanuel Lorin (J. Comput. Phys., 2019)

From structured data to evolution linear partial differential equations. - Emmanuel Lorin (J. Comput. Phys., 2019)

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

Domain decomposition method for the N-body time-independent and time-dependent Schrödinger equations. - Emmanuel Lorin (Numer. Algorithms, 2019)

Frozen Gaussian Approximation for the Dirac Equation in Semiclassical Regime. - Lihui Chai; Emmanuel Lorin; Xu Yang 018 (SIAM J. Numer. Anal., 2019)

Derivation and analysis of parallel-in-time neural ordinary differential equations. - Emmanuel Lorin (Ann. Math. Artif. Intell., 2020)

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)

Stationary state computation for nonlinear Dirac operators. - Yongyong Cai; Emmanuel Lorin (J. Comput. Phys., 2020)

Numerical analysis of the exact factorization of molecular time-dependent Schrödinger wavefunctions. - Emmanuel Lorin (Commun. Nonlinear Sci. Numer. Simul., 2021)

Schwarz Waveform Relaxation Physics-Informed Neural Networks for Solving Advection-Diffusion-Reaction Equations. - Emmanuel Lorin; Xu Yang 018 (CoRR, 2021)

A numerical study of fractional linear algebraic systems. - Emmanuel Lorin; Simon Tian (Math. Comput. Simul., 2021)

Derivation and analysis of computational methods for fractional Laplacian equations with absorbing layers. - Xavier Antoine; Emmanuel Lorin; Y. Zhang (Numer. Algorithms, 2021)

ODE-based double-preconditioning for solving linear systems A α x = b and f ( A ) x = b. - Xavier Antoine; Emmanuel Lorin (Numer. Linear Algebra Appl., 2021)

Time-dependent Dirac Equation with Physics-Informed Neural Networks: Computation and Properties. - Emmanuel Lorin; Xu Yang 018 (Comput. Phys. Commun., 2022)

Generalized Fractional Algebraic Linear System Solvers. - Xavier Antoine; Emmanuel Lorin (J. Sci. Comput., 2022)

Schwarz waveform relaxation-learning for advection-diffusion-reaction equations. - Emmanuel Lorin; Xu Yang 018 (J. Comput. Phys., 2023)

Quasi-optimal domain decomposition method for neural network-based computation of the time-dependent Schrödinger equation. - Emmanuel Lorin; Xu Yang 018 (Comput. Phys. Commun., 2024)

Non-diffusive neural network method for hyperbolic conservation laws. - Emmanuel Lorin; Arian Novruzi (J. Comput. Phys., 2024)

Normalized fractional gradient flow for nonlinear Schrödinger/Gross-Pitaevskii equations. - Xavier Antoine; Jérémie Gaidamour; Emmanuel Lorin (Commun. Nonlinear Sci. Numer. Simul., 2024)

Efficient data-driven polarization learning for attosecond science and nonperturbative nonlinear optics. - Emmanuel Lorin; Charlotte Noxon (Comput. Phys. Commun., 2025)

Data-driven fractional algebraic system solver. - Emmanuel Lorin; Howl Nhan (Math. Comput. Simul., 2025)

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

Informed Normalized Gradient Flow Method for Parameterized Schrödinger Operators: A Case Study on Photonic Graphene. - Hailong Guo; Emmanuel Lorin; Charlotte Noxon; Xu Yang 018 (J. Sci. Comput., 2025)