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2020 – today
- 2024
[j37]Xavier Antoine, Jérémie Gaidamour
, Emmanuel Lorin:
Normalized fractional gradient flow for nonlinear Schrödinger/Gross-Pitaevskii equations. Commun. Nonlinear Sci. Numer. Simul. 129: 107660 (2024)- [j36]Emmanuel Lorin, Xu Yang:
Quasi-optimal domain decomposition method for neural network-based computation of the time-dependent Schrödinger equation. Comput. Phys. Commun. 299: 109129 (2024) - [j35]Emmanuel Lorin, Arian Novruzi:
Non-diffusive neural network method for hyperbolic conservation laws. J. Comput. Phys. 513: 113161 (2024) - [i3]Emmanuel Lorin, Arian Novruzi:
Non-diffusive neural network method for hyperbolic conservation laws. CoRR abs/2405.15559 (2024) - 2023
- [j34]Emmanuel Lorin, Xu Yang:
Schwarz waveform relaxation-learning for advection-diffusion-reaction equations. J. Comput. Phys. 473: 111657 (2023) - 2022
- [j33]Emmanuel Lorin, Xu Yang:
Time-dependent Dirac Equation with Physics-Informed Neural Networks: Computation and Properties. Comput. Phys. Commun. 280: 108474 (2022) - [j32]Xavier Antoine, Emmanuel Lorin:
Generalized Fractional Algebraic Linear System Solvers. J. Sci. Comput. 91(1): 25 (2022) - 2021
- [j31]Emmanuel Lorin:
Numerical analysis of the exact factorization of molecular time-dependent Schrödinger wavefunctions. Commun. Nonlinear Sci. Numer. Simul. 95: 105627 (2021) - [j30]Emmanuel Lorin, Simon Tian:
A numerical study of fractional linear algebraic systems. Math. Comput. Simul. 182: 495-513 (2021) - [j29]Xavier Antoine, Emmanuel Lorin, Y. Zhang:
Derivation and analysis of computational methods for fractional Laplacian equations with absorbing layers. Numer. Algorithms 87(1): 409-444 (2021) - [j28]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) - [i2]Emmanuel Lorin, Xu Yang:
Schwarz Waveform Relaxation Physics-Informed Neural Networks for Solving Advection-Diffusion-Reaction Equations. CoRR abs/2111.02559 (2021) - 2020
- [j27]Emmanuel Lorin:
Derivation and analysis of parallel-in-time neural ordinary differential equations. Ann. Math. Artif. Intell. 88(10): 1035-1059 (2020) - [j26]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: 109412 (2020) - [j25]Yongyong Cai, Emmanuel Lorin:
Stationary state computation for nonlinear Dirac operators. J. Comput. Phys. 420: 109679 (2020)
2010 – 2019
- 2019
- [j24]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: 15-30 (2019) - [j23]Xavier Antoine, Emmanuel Lorin:
Towards Perfectly Matched Layers for time-dependent space fractional PDEs. J. Comput. Phys. 391: 59-90 (2019) - [j22]Emmanuel Lorin:
From structured data to evolution linear partial differential equations. J. Comput. Phys. 393: 162-185 (2019) - [j21]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: 583-601 (2019) - [j20]Emmanuel Lorin:
Domain decomposition method for the N-body time-independent and time-dependent Schrödinger equations. Numer. Algorithms 81(2): 655-694 (2019) - [j19]François Fillion-Gourdeau, Emmanuel Lorin:
Simple digital quantum algorithm for symmetric first-order linear hyperbolic systems. Numer. Algorithms 82(3): 1009-1045 (2019) - [j18]Lihui Chai, Emmanuel Lorin, Xu Yang:
Frozen Gaussian Approximation for the Dirac Equation in Semiclassical Regime. SIAM J. Numer. Anal. 57(5): 2383-2412 (2019) - [i1]Xavier Antoine, François Fillion-Gourdeau, Emmanuel Lorin, Steve McLean:
Pseudospectral computational methods for the time-dependent Dirac equation in static curved spaces. CoRR abs/1909.02894 (2019) - 2018
- [j17]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: 403-417 (2018) - [j16]Marianna Lytova, Emmanuel Lorin, André D. Bandrauk:
Nonlinear Nonperturbative Optics Model Enriched by Evolution Equation for Polarization. Multiscale Model. Simul. 16(3): 1175-1205 (2018) - 2017
- [j15]Xavier Antoine, Emmanuel Lorin:
Computational performance of simple and efficient sequential and parallel Dirac equation solvers. Comput. Phys. Commun. 220: 150-172 (2017) - [j14]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): 923-958 (2017) - 2016
- [j13]Xavier Antoine, Emmanuel Lorin:
Lagrange-Schwarz Waveform Relaxation domain decomposition methods for linear and nonlinear quantum wave problems. Appl. Math. Lett. 57: 38-45 (2016) - [j12]Emmanuel Lorin, Xu Yang:
Frozen Gaussian approximation-based two-level methods for multi-frequency Schrödinger equation. Comput. Phys. Commun. 207: 145-159 (2016) - [j11]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: 122-145 (2016) - [j10]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: 221-237 (2016) - 2015
- [j9]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): 620-646 (2015) - 2014
- [j8]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: 559-587 (2014) - [j7]Xavier Antoine, Emmanuel Lorin, J. Sater, François Fillion-Gourdeau, André D. Bandrauk:
Absorbing boundary conditions for relativistic quantum mechanics equations. J. Comput. Phys. 277: 268-304 (2014) - 2013
- [j6]Noel Chalmers, Emmanuel Lorin:
On the numerical approximation of one-dimensional nonconservative hyperbolic systems. J. Comput. Sci. 4(1-2): 111-124 (2013) - 2012
- [j5]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): 1403-1415 (2012) - [j4]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): 159-168 (2012) - 2010
- [j3]Emmanuel Lorin, André D. Bandrauk:
Multiresolution scheme for Time-Dependent Schrödinger Equation. Comput. Phys. Commun. 181(3): 626-638 (2010)
2000 – 2009
- 2009
- [c2]Emmanuel Lorin, André D. Bandrauk:
A Maxwell-Schrödinger-Plasma Model and Computing Aspects for Intense, High Frequency and Ultrashort Laser-Gas Interaction. HPCS 2009: 70-75 - 2008
- [c1]Emmanuel Lorin, André D. Bandrauk:
Efficient Parallel Computing for Laser-Gas Quantum Interaction and Propagation. HPCS 2008: 4-8 - 2007
- [j2]Emmanuel Lorin, Stephan Chelkowski, André D. Bandrauk:
A numerical Maxwell-Schrödinger model for intense laser-matter interaction and propagation. Comput. Phys. Commun. 177(12): 908-932 (2007) - [j1]François Alouges, Gérard Le Coq, Emmanuel Lorin:
Two-Dimensional Extension of the Reservoir Technique for Some Linear Advection Systems. J. Sci. Comput. 31(3): 419-458 (2007)
Coauthor Index
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