Emmanuel Lorin

Publication Activity (10 Years)

Years Active: 2007-2024
Publications (10 Years): 31

Top Topics

Partial Differential Equations

Decomposition Method

Hamilton Jacobi

Top Venues

J. Comput. Phys.

Comput. Phys. Commun.

Numer. Algorithms

Publications

Xavier Antoine, Jérémie Gaidamour, Emmanuel Lorin
Normalized fractional gradient flow for nonlinear Schrödinger/Gross-Pitaevskii equations. Commun. Nonlinear Sci. Numer. Simul. 129 (2024)
Emmanuel Lorin, Xu Yang
Quasi-optimal domain decomposition method for neural network-based computation of the time-dependent Schrödinger equation. Comput. Phys. Commun. 299 (2024)
Emmanuel Lorin, Arian Novruzi
Non-diffusive neural network method for hyperbolic conservation laws. CoRR (2024)
Emmanuel Lorin, Arian Novruzi
Non-diffusive neural network method for hyperbolic conservation laws. J. Comput. Phys. 513 (2024)
Emmanuel Lorin, Xu Yang
Schwarz waveform relaxation-learning for advection-diffusion-reaction equations. J. Comput. Phys. 473 (2023)
Xavier Antoine, Emmanuel Lorin
Generalized Fractional Algebraic Linear System Solvers. J. Sci. Comput. 91 (1) (2022)
Emmanuel Lorin, Xu Yang
Time-dependent Dirac Equation with Physics-Informed Neural Networks: Computation and Properties. Comput. Phys. Commun. 280 (2022)
Xavier Antoine, Emmanuel Lorin, Y. Zhang
Derivation and analysis of computational methods for fractional Laplacian equations with absorbing layers. Numer. Algorithms 87 (1) (2021)
Emmanuel Lorin, Xu Yang
Schwarz Waveform Relaxation Physics-Informed Neural Networks for Solving Advection-Diffusion-Reaction Equations. CoRR (2021)
Emmanuel Lorin, Simon Tian
A numerical study of fractional linear algebraic systems. Math. Comput. Simul. 182 (2021)
Xavier Antoine, Emmanuel Lorin
ODE-based double-preconditioning for solving linear systems A α x = b and f ( A ) x = b. Numer. Linear Algebra Appl. 28 (6) (2021)
Emmanuel Lorin
Numerical analysis of the exact factorization of molecular time-dependent Schrödinger wavefunctions. Commun. Nonlinear Sci. Numer. Simul. 95 (2021)
Emmanuel Lorin
Derivation and analysis of parallel-in-time neural ordinary differential equations. Ann. Math. Artif. Intell. 88 (10) (2020)
Yongyong Cai, Emmanuel Lorin
Stationary state computation for nonlinear Dirac operators. J. Comput. Phys. 420 (2020)
Xavier Antoine, François Fillion-Gourdeau, Emmanuel Lorin, Steve MacLean
Pseudospectral computational methods for the time-dependent Dirac equation in static curved spaces. J. Comput. Phys. 411 (2020)
Emmanuel Lorin
From structured data to evolution linear partial differential equations. J. Comput. Phys. 393 (2019)
Xavier Antoine, Emmanuel Lorin
A simple pseudospectral method for the computation of the time-dependent Dirac equation with Perfectly Matched Layers. J. Comput. Phys. 395 (2019)
Xavier Antoine, Emmanuel Lorin
On the rate of convergence of Schwarz waveform relaxation methods for the time-dependent Schrödinger equation. J. Comput. Appl. Math. 354 (2019)
François Fillion-Gourdeau, Emmanuel Lorin
Simple digital quantum algorithm for symmetric first-order linear hyperbolic systems. Numer. Algorithms 82 (3) (2019)
Emmanuel Lorin
Domain decomposition method for the N-body time-independent and time-dependent Schrödinger equations. Numer. Algorithms 81 (2) (2019)
Lihui Chai, Emmanuel Lorin, Xu Yang
Frozen Gaussian Approximation for the Dirac Equation in Semiclassical Regime. SIAM J. Numer. Anal. 57 (5) (2019)
Xavier Antoine, Emmanuel Lorin
Towards Perfectly Matched Layers for time-dependent space fractional PDEs. J. Comput. Phys. 391 (2019)
Xavier Antoine, François Fillion-Gourdeau, Emmanuel Lorin, Steve McLean
Pseudospectral computational methods for the time-dependent Dirac equation in static curved spaces. CoRR (2019)
Marianna Lytova, Emmanuel Lorin, André D. Bandrauk
Nonlinear Nonperturbative Optics Model Enriched by Evolution Equation for Polarization. Multiscale Model. Simul. 16 (3) (2018)
Xavier Antoine, Emmanuel Lorin
Multilevel preconditioning technique for Schwarz waveform relaxation domain decomposition method for real- and imaginary-time nonlinear Schrödinger equation. Appl. Math. Comput. 336 (2018)
Xavier Antoine, Emmanuel Lorin
Computational performance of simple and efficient sequential and parallel Dirac equation solvers. Comput. Phys. Commun. 220 (2017)
Xavier Antoine, Emmanuel Lorin
An analysis of Schwarz waveform relaxation domain decomposition methods for the imaginary-time linear Schrödinger and Gross-Pitaevskii equations. Numerische Mathematik 137 (4) (2017)
François Fillion-Gourdeau, Emmanuel Lorin, André D. Bandrauk
Galerkin method for unsplit 3-D Dirac equation using atomically/kinetically balanced B-spline basis. J. Comput. Phys. 307 (2016)
Emmanuel Lorin, Xu Yang
Frozen Gaussian approximation-based two-level methods for multi-frequency Schrödinger equation. Comput. Phys. Commun. 207 (2016)
Emmanuel Lorin, Xu Yang, Xavier Antoine
Frozen Gaussian approximation based domain decomposition methods for the linear Schrödinger equation beyond the semi-classical regime. J. Comput. Phys. 315 (2016)
Xavier Antoine, Emmanuel Lorin
Lagrange-Schwarz Waveform Relaxation domain decomposition methods for linear and nonlinear quantum wave problems. Appl. Math. Lett. 57 (2016)
Xavier Antoine, Emmanuel Lorin, André D. Bandrauk
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. J. Sci. Comput. 64 (3) (2015)
François Fillion-Gourdeau, Emmanuel Lorin, André D. Bandrauk
A split-step numerical method for the time-dependent Dirac equation in 3-D axisymmetric geometry. J. Comput. Phys. 272 (2014)
Xavier Antoine, Emmanuel Lorin, J. Sater, François Fillion-Gourdeau, André D. Bandrauk
Absorbing boundary conditions for relativistic quantum mechanics equations. J. Comput. Phys. 277 (2014)
Noel Chalmers, Emmanuel Lorin
On the numerical approximation of one-dimensional nonconservative hyperbolic systems. J. Comput. Sci. 4 (1-2) (2013)
Emmanuel Lorin, André D. Bandrauk
Efficient and accurate numerical modeling of a micro-macro nonlinear optics model for intense and short laser pulses. J. Comput. Sci. 3 (3) (2012)
François Fillion-Gourdeau, Emmanuel Lorin, André D. Bandrauk
Numerical solution of the time-dependent Dirac equation in coordinate space without fermion-doubling. Comput. Phys. Commun. 183 (7) (2012)
Emmanuel Lorin, André D. Bandrauk
Multiresolution scheme for Time-Dependent Schrödinger Equation. Comput. Phys. Commun. 181 (3) (2010)
Emmanuel Lorin, André D. Bandrauk
A Maxwell-Schrödinger-Plasma Model and Computing Aspects for Intense, High Frequency and Ultrashort Laser-Gas Interaction. HPCS (2009)
Emmanuel Lorin, André D. Bandrauk
Efficient Parallel Computing for Laser-Gas Quantum Interaction and Propagation. HPCS (2008)
Emmanuel Lorin, Stephan Chelkowski, André D. Bandrauk
A numerical Maxwell-Schrödinger model for intense laser-matter interaction and propagation. Comput. Phys. Commun. 177 (12) (2007)
François Alouges, Gérard Le Coq, Emmanuel Lorin
Two-Dimensional Extension of the Reservoir Technique for Some Linear Advection Systems. J. Sci. Comput. 31 (3) (2007)