Antoine, Xavier; Gaidamour, Jérémie; Lorin, Emmanuel Normalized fractional gradient flow for nonlinear Schrödinger/Gross-Pitaevskii equations. (English) Zbl 07801761 Commun. Nonlinear Sci. Numer. Simul. 129, Article ID 107660, 18 p. (2024). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M06 65N35 65M12 65N06 65F10 49M41 35Q55 35Q41 26A33 35R11 PDFBibTeX XMLCite \textit{X. Antoine} et al., Commun. Nonlinear Sci. Numer. Simul. 129, Article ID 107660, 18 p. (2024; Zbl 07801761) Full Text: DOI
Fillion-Gourdeau, François; Lorin, Emmanuel; Maclean, Steve Inverse design of strained graphene surfaces for electron control. (English) Zbl 1519.35257 Commun. Comput. Phys. 34, No. 1, 235-260 (2023). MSC: 35Q41 81Q05 81Q20 78A05 PDFBibTeX XMLCite \textit{F. Fillion-Gourdeau} et al., Commun. Comput. Phys. 34, No. 1, 235--260 (2023; Zbl 1519.35257) Full Text: DOI arXiv
Chai, Lihui; Emmanuel, Lorin; Yang, Xu Frozen Gaussian approximation for the Dirac equation in curved space with application to strained graphene. (English) Zbl 1519.35256 Commun. Comput. Phys. 34, No. 1, 18-37 (2023). MSC: 35Q41 81Q05 81Q20 78A05 PDFBibTeX XMLCite \textit{L. Chai} et al., Commun. Comput. Phys. 34, No. 1, 18--37 (2023; Zbl 1519.35256) Full Text: DOI
Lorin, Emmanuel; Yang, Xu Schwarz waveform relaxation-learning for advection-diffusion-reaction equations. (English) Zbl 07625378 J. Comput. Phys. 473, Article ID 111657, 16 p. (2023). MSC: 65Mxx 35Qxx 68Txx PDFBibTeX XMLCite \textit{E. Lorin} and \textit{X. Yang}, J. Comput. Phys. 473, Article ID 111657, 16 p. (2023; Zbl 07625378) Full Text: DOI arXiv
Lorin, Emmanuel; Yang, Xu Time-dependent Dirac equation with physics-informed neural networks: computation and properties. (English) Zbl 07682149 Comput. Phys. Commun. 280, Article ID 108474, 15 p. (2022). MSC: 65-XX 68-XX PDFBibTeX XMLCite \textit{E. Lorin} and \textit{X. Yang}, Comput. Phys. Commun. 280, Article ID 108474, 15 p. (2022; Zbl 07682149) Full Text: DOI arXiv
Antoine, Xavier; Lorin, Emmanuel A Schwarz waveform relaxation method for time-dependent space fractional Schrödinger/heat equations. (English) Zbl 1507.65173 Appl. Numer. Math. 182, 248-264 (2022). Reviewer: Michael Jung (Dresden) MSC: 65M55 65M06 65N06 65M12 65M15 35Q55 35Q41 35Q79 26A33 35R11 PDFBibTeX XMLCite \textit{X. Antoine} and \textit{E. Lorin}, Appl. Numer. Math. 182, 248--264 (2022; Zbl 1507.65173) Full Text: DOI
Antoine, X.; Lorin, E. Generalized fractional algebraic linear system solvers. (English) Zbl 1487.65033 J. Sci. Comput. 91, No. 1, Paper No. 25, 30 p. (2022). MSC: 65F10 65N22 35R11 65F60 81Q05 PDFBibTeX XMLCite \textit{X. Antoine} and \textit{E. Lorin}, J. Sci. Comput. 91, No. 1, Paper No. 25, 30 p. (2022; Zbl 1487.65033) Full Text: DOI HAL
Antoine, Xavier; Lorin, Emmanuel ODE-based double-preconditioning for solving linear systems \(A^{\alpha}x=b\) and \(f(A)x=b\). (English) Zbl 07478625 Numer. Linear Algebra Appl. 28, No. 6, e2399, 22 p. (2021). MSC: 65F08 65F60 PDFBibTeX XMLCite \textit{X. Antoine} and \textit{E. Lorin}, Numer. Linear Algebra Appl. 28, No. 6, e2399, 22 p. (2021; Zbl 07478625) Full Text: DOI
Chai, Lihui; Hateley, James C.; Lorin, Emmanuel; Yang, Xu On the convergence of frozen Gaussian approximation for linear non-strictly hyperbolic systems. (English) Zbl 1476.65277 Commun. Math. Sci. 19, No. 3, 585-606 (2021). MSC: 65M99 65M12 81Q05 PDFBibTeX XMLCite \textit{L. Chai} et al., Commun. Math. Sci. 19, No. 3, 585--606 (2021; Zbl 1476.65277) Full Text: DOI
Antoine, Xavier; Lorin, Emmanuel; Zhang, Y. Derivation and analysis of computational methods for fractional Laplacian equations with absorbing layers. (English) Zbl 1468.65159 Numer. Algorithms 87, No. 1, 409-444 (2021). MSC: 65M70 65M06 65N35 35R11 PDFBibTeX XMLCite \textit{X. Antoine} et al., Numer. Algorithms 87, No. 1, 409--444 (2021; Zbl 1468.65159) Full Text: DOI HAL
Lorin, Emmanuel; Tian, Simon A numerical study of fractional linear algebraic systems. (English) Zbl 1524.65198 Math. Comput. Simul. 182, 495-513 (2021). MSC: 65F60 15A06 15A16 PDFBibTeX XMLCite \textit{E. Lorin} and \textit{S. Tian}, Math. Comput. Simul. 182, 495--513 (2021; Zbl 1524.65198) Full Text: DOI
Lorin, Emmanuel Numerical analysis of the exact factorization of molecular time-dependent Schrödinger wavefunctions. (English) Zbl 1459.65152 Commun. Nonlinear Sci. Numer. Simul. 95, Article ID 105627, 22 p. (2021). MSC: 65M06 65M12 35Q55 PDFBibTeX XMLCite \textit{E. Lorin}, Commun. Nonlinear Sci. Numer. Simul. 95, Article ID 105627, 22 p. (2021; Zbl 1459.65152) Full Text: DOI
Cai, Y.; Lorin, E. Stationary state computation for nonlinear Dirac operators. (English) Zbl 1515.81023 J. Comput. Phys. 420, Article ID 109679, 33 p. (2020). MSC: 81-08 81Q05 65N25 35J05 PDFBibTeX XMLCite \textit{Y. Cai} and \textit{E. Lorin}, J. Comput. Phys. 420, Article ID 109679, 33 p. (2020; Zbl 1515.81023) Full Text: DOI
Lorin, E. A parallel algorithm for space-time-fractional partial differential equations. (English) Zbl 1482.65196 Adv. Difference Equ. 2020, Paper No. 283, 21 p. (2020). MSC: 65M70 65Y05 65M06 35R11 26A33 PDFBibTeX XMLCite \textit{E. Lorin}, Adv. Difference Equ. 2020, Paper No. 283, 21 p. (2020; Zbl 1482.65196) Full Text: DOI
Antoine, Xavier; Lorin, Emmanuel Explicit computation of Robin parameters in optimized Schwarz waveform relaxation methods for Schrödinger equations based on pseudodifferential operators. (English) Zbl 1473.65180 Commun. Comput. Phys. 27, No. 4, 1032-1052 (2020). MSC: 65M55 65M60 65M06 35S10 PDFBibTeX XMLCite \textit{X. Antoine} and \textit{E. Lorin}, Commun. Comput. Phys. 27, No. 4, 1032--1052 (2020; Zbl 1473.65180) Full Text: DOI
Lorin, E. Derivation and analysis of parallel-in-time neural ordinary differential equations. (English) Zbl 1467.65122 Ann. Math. Artif. Intell. 88, No. 10, 1035-1059 (2020). MSC: 65Y05 68T01 68T20 65L05 68T07 PDFBibTeX XMLCite \textit{E. Lorin}, Ann. Math. Artif. Intell. 88, No. 10, 1035--1059 (2020; Zbl 1467.65122) Full Text: DOI
Kazaz, Lorin; Pfister, Christian; Ziegler, Pascal; Eberhard, Peter Transient gear contact simulations using a floating frame of reference approach and higher-order ansatz functions. (English) Zbl 1440.74002 Acta Mech. 231, No. 4, 1337-1350 (2020). MSC: 74-10 74M15 74S05 PDFBibTeX XMLCite \textit{L. Kazaz} et al., Acta Mech. 231, No. 4, 1337--1350 (2020; Zbl 1440.74002) Full Text: DOI
Antoine, Xavier; Fillion-Gourdeau, François; Lorin, Emmanuel; MacLean, Steve Pseudospectral computational methods for the time-dependent Dirac equation in static curved spaces. (English) Zbl 1436.65127 J. Comput. Phys. 411, Article ID 109412, 23 p. (2020). MSC: 65M12 81Q05 81R20 35Q41 PDFBibTeX XMLCite \textit{X. Antoine} et al., J. Comput. Phys. 411, Article ID 109412, 23 p. (2020; Zbl 1436.65127) Full Text: DOI arXiv
Antoine, Xavier; Lorin, Emmanuel A simple pseudospectral method for the computation of the time-dependent Dirac equation with perfectly matched layers. (English) Zbl 1452.65267 J. Comput. Phys. 395, 583-601 (2019). MSC: 65M70 35Q41 81Q05 65Z05 PDFBibTeX XMLCite \textit{X. Antoine} and \textit{E. Lorin}, J. Comput. Phys. 395, 583--601 (2019; Zbl 1452.65267) Full Text: DOI HAL
Lorin, E. From structured data to evolution linear partial differential equations. (English) Zbl 1457.65085 J. Comput. Phys. 393, 162-185 (2019). Reviewer: Bülent Karasözen (Ankara) MSC: 65M32 65M70 35R30 65M06 65Y20 35G35 35G05 35R11 PDFBibTeX XMLCite \textit{E. Lorin}, J. Comput. Phys. 393, 162--185 (2019; Zbl 1457.65085) Full Text: DOI
Antoine, Xavier; Lorin, Emmanuel Towards perfectly matched layers for time-dependent space fractional PDEs. (English) Zbl 1452.65266 J. Comput. Phys. 391, 59-90 (2019). MSC: 65M70 35R11 35Q55 PDFBibTeX XMLCite \textit{X. Antoine} and \textit{E. Lorin}, J. Comput. Phys. 391, 59--90 (2019; Zbl 1452.65266) Full Text: DOI HAL
Fillion-Gourdeau, F.; Lorin, E. Simple digital quantum algorithm for symmetric first-order linear hyperbolic systems. (English) Zbl 1464.68117 Numer. Algorithms 82, No. 3, 1009-1045 (2019). MSC: 68Q12 35L40 65M08 81P45 PDFBibTeX XMLCite \textit{F. Fillion-Gourdeau} and \textit{E. Lorin}, Numer. Algorithms 82, No. 3, 1009--1045 (2019; Zbl 1464.68117) Full Text: DOI arXiv
Chai, Lihui; Lorin, Emmanuel; Yang, Xu Frozen Gaussian approximation for the Dirac equation in semiclassical regime. (English) Zbl 1428.65027 SIAM J. Numer. Anal. 57, No. 5, 2383-2412 (2019). MSC: 65M12 65M06 65M15 35Q41 PDFBibTeX XMLCite \textit{L. Chai} et al., SIAM J. Numer. Anal. 57, No. 5, 2383--2412 (2019; Zbl 1428.65027) Full Text: DOI
Crawford, Lorin; Flaxman, Seth R.; Runcie, Daniel E.; West, Mike Variable prioritization in nonlinear black box methods: a genetic association case study. (English) Zbl 1423.62062 Ann. Appl. Stat. 13, No. 2, 958-989 (2019). MSC: 62J02 62P10 60G15 92D10 62H20 62G08 PDFBibTeX XMLCite \textit{L. Crawford} et al., Ann. Appl. Stat. 13, No. 2, 958--989 (2019; Zbl 1423.62062) Full Text: DOI arXiv Euclid
Antoine, X.; Lorin, E. On the rate of convergence of Schwarz waveform relaxation methods for the time-dependent Schrödinger equation. (English) Zbl 1419.65049 J. Comput. Appl. Math. 354, 15-30 (2019). MSC: 65M55 65M12 65M06 65Y05 35Q41 PDFBibTeX XMLCite \textit{X. Antoine} and \textit{E. Lorin}, J. Comput. Appl. Math. 354, 15--30 (2019; Zbl 1419.65049) Full Text: DOI HAL
Lorin, Emmanuel Domain decomposition method for the \(N\)-body time-independent and time-dependent Schrödinger equations. (English) Zbl 1432.65143 Numer. Algorithms 81, No. 2, 655-694 (2019). MSC: 65M55 35Q41 65M60 PDFBibTeX XMLCite \textit{E. Lorin}, Numer. Algorithms 81, No. 2, 655--694 (2019; Zbl 1432.65143) Full Text: DOI arXiv
Antoine, X.; Lorin, E. Multilevel preconditioning technique for Schwarz waveform relaxation domain decomposition method for real- and imaginary-time nonlinear Schrödinger equation. (English) Zbl 1427.65233 Appl. Math. Comput. 336, 403-417 (2018). MSC: 65M55 35Q55 PDFBibTeX XMLCite \textit{X. Antoine} and \textit{E. Lorin}, Appl. Math. Comput. 336, 403--417 (2018; Zbl 1427.65233) Full Text: DOI HAL
Antoine, Xavier; Hou, Fengji; Lorin, Emmanuel Asymptotic estimates of the convergence of classical Schwarz waveform relaxation domain decomposition methods for two-dimensional stationary quantum waves. (English) Zbl 1407.65152 ESAIM, Math. Model. Numer. Anal. 52, No. 4, 1569-1596 (2018). MSC: 65M12 65M06 65M55 35Q55 35C20 35S11 PDFBibTeX XMLCite \textit{X. Antoine} et al., ESAIM, Math. Model. Numer. Anal. 52, No. 4, 1569--1596 (2018; Zbl 1407.65152) Full Text: DOI HAL
Lytova, Marianna; Lorin, Emmanuel; Bandrauk, André D. Nonlinear nonperturbative optics model enriched by evolution equation for polarization. (English) Zbl 1400.78022 Multiscale Model. Simul. 16, No. 3, 1175-1205 (2018). MSC: 78A60 78M20 81V80 35Q60 PDFBibTeX XMLCite \textit{M. Lytova} et al., Multiscale Model. Simul. 16, No. 3, 1175--1205 (2018; Zbl 1400.78022) Full Text: DOI arXiv
Antoine, X.; Lorin, E. Computational performance of simple and efficient sequential and parallel Dirac equation solvers. (English) Zbl 1411.35234 Comput. Phys. Commun. 220, 150-172 (2017). MSC: 35Q41 65M70 65Y20 PDFBibTeX XMLCite \textit{X. Antoine} and \textit{E. Lorin}, Comput. Phys. Commun. 220, 150--172 (2017; Zbl 1411.35234) Full Text: DOI HAL
Antoine, X.; Lorin, E. An analysis of Schwarz waveform relaxation domain decomposition methods for the imaginary-time linear Schrödinger and Gross-Pitaevskii equations. (English) Zbl 1383.65122 Numer. Math. 137, No. 4, 923-958 (2017). Reviewer: Ruxandra Stavre (Bucureşti) MSC: 65M55 65M12 65M06 35Q55 35Q41 PDFBibTeX XMLCite \textit{X. Antoine} and \textit{E. Lorin}, Numer. Math. 137, No. 4, 923--958 (2017; Zbl 1383.65122) Full Text: DOI HAL
Lorin, E.; Yang, Xu Frozen Gaussian approximation-based two-level methods for multi-frequency Schrödinger equation. (English) Zbl 1375.81107 Comput. Phys. Commun. 207, 145-159 (2016). MSC: 81Q20 65Z05 35Q41 PDFBibTeX XMLCite \textit{E. Lorin} and \textit{X. Yang}, Comput. Phys. Commun. 207, 145--159 (2016; Zbl 1375.81107) Full Text: DOI
Fillion-Gourdeau, F.; Lorin, E.; Bandrauk, A. D. Galerkin method for unsplit 3-D Dirac equation using atomically/kinetically balanced B-spline basis. (English) Zbl 1352.65341 J. Comput. Phys. 307, 122-145 (2016). MSC: 65M60 78M25 PDFBibTeX XMLCite \textit{F. Fillion-Gourdeau} et al., J. Comput. Phys. 307, 122--145 (2016; Zbl 1352.65341) Full Text: DOI arXiv
Lorin, E.; Yang, X.; Antoine, X. Frozen Gaussian approximation based domain decomposition methods for the linear Schrödinger equation beyond the semi-classical regime. (English) Zbl 1349.65430 J. Comput. Phys. 315, 221-237 (2016). MSC: 65M55 PDFBibTeX XMLCite \textit{E. Lorin} et al., J. Comput. Phys. 315, 221--237 (2016; Zbl 1349.65430) Full Text: DOI
Bandrauk, Andre D. (ed.); Lorin, Emmanuel (ed.); Moloney, Jerome V. (ed.) Laser filamentation. Mathematical methods and models. (English) Zbl 1336.78001 CRM Series in Mathematical Physics. Cham: Springer (ISBN 978-3-319-23083-2/hbk; 978-3-319-23084-9/ebook). xii, 216 p. (2016). MSC: 78-06 78A35 35Q60 00A79 PDFBibTeX XMLCite \textit{A. D. Bandrauk} (ed.) et al., Laser filamentation. Mathematical methods and models. Cham: Springer (2016; Zbl 1336.78001) Full Text: DOI
Antoine, X.; Lorin, E. Lagrange-Schwarz waveform relaxation domain decomposition methods for linear and nonlinear quantum wave problems. (English) Zbl 1334.65152 Appl. Math. Lett. 57, 38-45 (2016). MSC: 65M55 35Q41 35Q55 65M12 PDFBibTeX XMLCite \textit{X. Antoine} and \textit{E. Lorin}, Appl. Math. Lett. 57, 38--45 (2016; Zbl 1334.65152) Full Text: DOI
Fillion-Gourdeau, F.; Lorin, E.; Bandrauk, A. D. Avoiding the coordinate singularity problem in the numerical solution of the Dirac equation in cylindrical coordinates. (English) Zbl 1331.35293 Cojocaru, Monica G. (ed.) et al., Interdisciplinary topics in applied mathematics, modeling and computational science. Selected papers based on the presentations at the 2nd conference, AMMCS 2013, Waterloo, Canada, August 26–30, 2013. Cham: Springer (ISBN 978-3-319-12306-6/hbk; 978-3-319-12307-3/ebook). Springer Proceedings in Mathematics & Statistics 117, 211-217 (2015). MSC: 35Q41 65M06 PDFBibTeX XMLCite \textit{F. Fillion-Gourdeau} et al., Springer Proc. Math. Stat. 117, 211--217 (2015; Zbl 1331.35293) Full Text: DOI
Antoine, X.; Lorin, E.; Bandrauk, A. D. 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. (English) Zbl 1332.78026 J. Sci. Comput. 64, No. 3, 620-646 (2015). MSC: 78A60 35Q41 65M55 65M06 65M20 81V80 PDFBibTeX XMLCite \textit{X. Antoine} et al., J. Sci. Comput. 64, No. 3, 620--646 (2015; Zbl 1332.78026) Full Text: DOI HAL
Lorin, E.; Lytova, M.; Memarian, A.; Bandrauk, A. D. Development of nonperturbative nonlinear optics models including effects of high order nonlinearities and of free electron plasma: Maxwell-Schrödinger equations coupled with evolution equations for polarization effects, and the SFA-like nonlinear optics model. (English) Zbl 1318.78009 J. Phys. A, Math. Theor. 48, No. 10, Article ID 105201, 47 p. (2015). Reviewer: Claudia-Veronika Meister (Darmstadt) MSC: 78A60 81Q05 81V80 82D10 PDFBibTeX XMLCite \textit{E. Lorin} et al., J. Phys. A, Math. Theor. 48, No. 10, Article ID 105201, 47 p. (2015; Zbl 1318.78009) Full Text: DOI
Antoine, X.; Lorin, E.; Sater, J.; Fillion-Gourdeau, F.; Bandrauk, A. D. Absorbing boundary conditions for relativistic quantum mechanics equations. (English) Zbl 1349.81080 J. Comput. Phys. 277, 268-304 (2014). MSC: 81Q05 PDFBibTeX XMLCite \textit{X. Antoine} et al., J. Comput. Phys. 277, 268--304 (2014; Zbl 1349.81080) Full Text: DOI HAL
Fillion-Gourdeau, François; Lorin, Emmanuel; Bandrauk, André D. A split-step numerical method for the time-dependent Dirac equation in 3-D axisymmetric geometry. (English) Zbl 1349.65292 J. Comput. Phys. 272, 559-587 (2014). MSC: 65M06 PDFBibTeX XMLCite \textit{F. Fillion-Gourdeau} et al., J. Comput. Phys. 272, 559--587 (2014; Zbl 1349.65292) Full Text: DOI arXiv
Turbis, Pascal; Lorin, Emmanuel; Cournoyer, Alain Optimization of the temporal shape of laser pulses for ablation. (English) Zbl 1308.80006 AMRX, Appl. Math. Res. Express 2014, No. 2, 244-274 (2014). Reviewer: Pavol Chocholatý (Bratislava) MSC: 80A22 80A20 80M50 78A60 PDFBibTeX XMLCite \textit{P. Turbis} et al., AMRX, Appl. Math. Res. Express 2014, No. 2, 244--274 (2014; Zbl 1308.80006) Full Text: DOI
Chakraborty, Debananda; Jung, Jae-Hun; Lorin, Emmanuel An efficient determination of critical parameters of nonlinear Schrödinger equation with a point-like potential using generalized polynomial chaos methods. (English) Zbl 1302.65231 Appl. Numer. Math. 72, 115-130 (2013). MSC: 65M70 35Q55 65M12 65Y20 PDFBibTeX XMLCite \textit{D. Chakraborty} et al., Appl. Numer. Math. 72, 115--130 (2013; Zbl 1302.65231) Full Text: DOI arXiv
Fillion-Gourdeau, François; Lorin, Emmanuel; Bandrauk, André D. Numerical solution of the time-dependent Dirac equation in coordinate space without fermion-doubling. (English) Zbl 1295.35363 Comput. Phys. Commun. 183, No. 7, 1403-1415 (2012). MSC: 35Q41 81Q05 PDFBibTeX XMLCite \textit{F. Fillion-Gourdeau} et al., Comput. Phys. Commun. 183, No. 7, 1403--1415 (2012; Zbl 1295.35363) Full Text: DOI arXiv
Fillion-Gourdeau, François; Lorin, Emmanuel; Bandrauk, André D. Relativistic Stark resonances in a simple exactly soluble model for a diatomic molecule. (English) Zbl 1301.81371 J. Phys. A, Math. Theor. 45, No. 21, Article ID 215304, 31 p. (2012). MSC: 81V55 81Q05 81Q10 81Q80 PDFBibTeX XMLCite \textit{F. Fillion-Gourdeau} et al., J. Phys. A, Math. Theor. 45, No. 21, Article ID 215304, 31 p. (2012; Zbl 1301.81371) Full Text: DOI arXiv
Lorin, E.; Chelkowski, S.; Bandrauk, A. D. The WASP model: a micro-macro system of wave-Schrödinger-plasma equations for filamentation. (English) Zbl 1364.35302 Commun. Comput. Phys. 9, No. 2, 406-440 (2011). MSC: 35Q41 35Q61 PDFBibTeX XMLCite \textit{E. Lorin} et al., Commun. Comput. Phys. 9, No. 2, 406--440 (2011; Zbl 1364.35302) Full Text: DOI
Lorin, E.; Bandrauk, A. A simple and accurate mixed \(P^{0}-Q^{1}\) solver for the Maxwell-Dirac equations. (English) Zbl 1202.35014 Nonlinear Anal., Real World Appl. 12, No. 1, 190-202 (2011). MSC: 35A35 35Q41 35Q61 65M60 PDFBibTeX XMLCite \textit{E. Lorin} and \textit{A. Bandrauk}, Nonlinear Anal., Real World Appl. 12, No. 1, 190--202 (2011; Zbl 1202.35014) Full Text: DOI
Lorin, Emmanuel; Bandrauk, A. D. Multiresolution scheme for time-dependent Schrödinger equation. (English) Zbl 1205.65237 Comput. Phys. Commun. 181, No. 3, 626-638 (2010). MSC: 65M06 35Q40 35K20 81Q05 65T60 PDFBibTeX XMLCite \textit{E. Lorin} and \textit{A. D. Bandrauk}, Comput. Phys. Commun. 181, No. 3, 626--638 (2010; Zbl 1205.65237) Full Text: DOI
Chalmers, N.; Lorin, E. Approximation of nonconservative hyperbolic systems based on different shock curve definitions. (English) Zbl 1252.65139 Can. Appl. Math. Q. 17, No. 3, 447-455 (2009). MSC: 65M06 PDFBibTeX XMLCite \textit{N. Chalmers} and \textit{E. Lorin}, Can. Appl. Math. Q. 17, No. 3, 447--455 (2009; Zbl 1252.65139)
Labbé, Stéphane; Lorin, Emmanuel On the reservoir technique convergence for nonlinear hyperbolic conservation laws. I. (English) Zbl 1173.35324 J. Math. Anal. Appl. 356, No. 2, 477-497 (2009). Reviewer: Gisbert Stoyan (Budapest) MSC: 35A35 35L65 65M60 PDFBibTeX XMLCite \textit{S. Labbé} and \textit{E. Lorin}, J. Math. Anal. Appl. 356, No. 2, 477--497 (2009; Zbl 1173.35324) Full Text: DOI
Lorin, Emmanuel; Chelkowski, S.; Bandrauk, A. D. Mathematical modeling of boundary conditions for laser-molecule time-dependent Schrödinger equations and some aspects of their numerical computation – one-dimensional case. (English) Zbl 1169.78006 Numer. Methods Partial Differ. Equations 25, No. 1, 110-136 (2009). Reviewer: Stefan Jakobsson (Göteborg) MSC: 78M20 35J10 35Q40 81V80 78A60 PDFBibTeX XMLCite \textit{E. Lorin} et al., Numer. Methods Partial Differ. Equations 25, No. 1, 110--136 (2009; Zbl 1169.78006) Full Text: DOI
Alouges, François; De Vuyst, Florian; Le Coq, Gérard; Lorin, Emmanuel The reservoir technique: a way to make Godunov-type schemes zero or very low diffuse. Application to Colella-Glaz solver. (English) Zbl 1151.76533 Eur. J. Mech., B, Fluids 27, No. 6, 643-664 (2008). MSC: 76M12 76N15 PDFBibTeX XMLCite \textit{F. Alouges} et al., Eur. J. Mech., B, Fluids 27, No. 6, 643--664 (2008; Zbl 1151.76533) Full Text: DOI
Lorin, E.; Chelkowski, S.; Bandrauk, A. A numerical Maxwell-Schrödinger model for intense laser-matter interaction and propagation. (English) Zbl 1196.78021 Comput. Phys. Commun. 177, No. 12, 908-932 (2007). MSC: 78A60 78M25 81Q05 PDFBibTeX XMLCite \textit{E. Lorin} et al., Comput. Phys. Commun. 177, No. 12, 908--932 (2007; Zbl 1196.78021) Full Text: DOI
Lorin, Emmanuel; Ben Haj Ali, Amine; Soulaimani, Azzeddine A positivity preserving finite element-finite volume solver for the Spalart-Allmaras turbulence model. (English) Zbl 1173.76347 Comput. Methods Appl. Mech. Eng. 196, No. 17-20, 2097-2116 (2007). MSC: 76M10 76F40 PDFBibTeX XMLCite \textit{E. Lorin} et al., Comput. Methods Appl. Mech. Eng. 196, No. 17--20, 2097--2116 (2007; Zbl 1173.76347) Full Text: DOI
Alouges, François; Le Coq, Gérard; Lorin, Emmanuel Two-dimensional extension of the reservoir technique for some linear advection systems. (English) Zbl 1251.76026 J. Sci. Comput. 31, No. 3, 419-458 (2007). MSC: 76M12 76R50 65M06 PDFBibTeX XMLCite \textit{F. Alouges} et al., J. Sci. Comput. 31, No. 3, 419--458 (2007; Zbl 1251.76026) Full Text: DOI
Lorin, Emmanuel; Chelkowski, Szczepan; Bandrauk, André A Maxwell-Schrödinger model for non-perturbative laser-molecule interaction and some methods of numerical computation. (English) Zbl 1330.81202 Bandrauk, André (ed.) et al., High-dimensional partial differential equations in science and engineering. Papers presented at the conference, Montréal, Canada, August 7–12, 2005. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-3853-2/pbk). CRM Proceedings and Lecture Notes 41, 161-182 (2007). MSC: 81V10 65Z05 65Y05 81V55 PDFBibTeX XMLCite \textit{E. Lorin} et al., in: High-dimensional partial differential equations in science and engineering. Papers presented at the conference, Montréal, Canada, August 7--12, 2005. Providence, RI: American Mathematical Society (AMS). 161--182 (2007; Zbl 1330.81202)
Alouges, François; Le Coq, Gérard; Lorin, Emmanuel Multidimensional extension of the reservoir technique for linear advection equations. (English) Zbl 1422.65141 Benkhaldoun, Fayssal (ed.) et al., Finite volumes for complex applications IV. Papers from the 4th international symposium held in Marrakech, Morocco, July 2005. London: Iste. 413-422 (2005). MSC: 65M06 PDFBibTeX XMLCite \textit{F. Alouges} et al., in: Finite volumes for complex applications IV. Papers from the 4th international symposium held in Marrakech, Morocco, July 2005. London: Iste. 413--422 (2005; Zbl 1422.65141)
De La Grandmaison, Emmanuel Lorin; Gowda, Shivaraju B.; Saad, Yousef; Tiago, Murilo L.; Chelikowsky, James R. Efficient computation of the coupling matrix in time-dependent density functional theory. (English) Zbl 1196.65188 Comput. Phys. Commun. 167, No. 1, 7-22 (2005). MSC: 65N99 82D37 PDFBibTeX XMLCite \textit{E. L. De La Grandmaison} et al., Comput. Phys. Commun. 167, No. 1, 7--22 (2005; Zbl 1196.65188) Full Text: DOI
Lorin, E.; Seignole, V. Convection systems with stiff source terms. (English) Zbl 1050.76037 Math. Models Methods Appl. Sci. 13, No. 7, 971-1018 (2003). MSC: 76M12 76R10 PDFBibTeX XMLCite \textit{E. Lorin} and \textit{V. Seignole}, Math. Models Methods Appl. Sci. 13, No. 7, 971--1018 (2003; Zbl 1050.76037) Full Text: DOI
Lorin, E. Existence of viscous profiles for the compressible Navier-Stokes equations. (English) Zbl 1054.35055 Appl. Anal. 82, No. 7, 645-654 (2003). Reviewer: Klaus Deckelnick (Magdeburg) MSC: 35Q30 76N10 37N10 35L65 35B35 PDFBibTeX XMLCite \textit{E. Lorin}, Appl. Anal. 82, No. 7, 645--654 (2003; Zbl 1054.35055) Full Text: DOI
Godillon, P.; Lorin, E. A Lax shock profile satisfying a sufficient condition of spectral instability. (English) Zbl 1028.35103 J. Math. Anal. Appl. 283, No. 1, 12-24 (2003). Reviewer: A.Meister (Hamburg) MSC: 35L65 35L67 76L05 PDFBibTeX XMLCite \textit{P. Godillon} and \textit{E. Lorin}, J. Math. Anal. Appl. 283, No. 1, 12--24 (2003; Zbl 1028.35103) Full Text: DOI
Alouges, François; de Vuyst, Florian; Le Coq, Gérard; Lorin, Emmanuel The reservoir scheme for systems of conservation laws. (English) Zbl 1118.65350 Herbin, Raphaéle (ed.) et al., Finite volumes for complex applications III. Problems and perspectives. Papers from the 3rd symposium of finite volumes for complex applications, Porquerolles, France, June 24–28, 2002. London: Hermes Penton Science (ISBN 1-9039-9634-1/pbk). 261-268 (2002). MSC: 65M06 35L65 35L45 PDFBibTeX XMLCite \textit{F. Alouges} et al., in: Finite volumes for complex applications III. Problems and perspectives. Papers from the 3rd symposium of finite volumes for complex applications, Porquerolles, France, June 24--28, 2002. London: Hermes Penton Science. 261--268 (2002; Zbl 1118.65350)
Alouges, François; De Vuyst, Florian; Le Coq, Gérard; Lorin, Emmanuel A process of reduction of the numerical diffusion of usual order one flux difference schemes for nonlinear hyperbolic systems. (Un procédé de réduction de la diffusion numérique des schémas à différence de flux d’ordre un pour les systèmes hyperboliques non linéaires.) (French. Abridged English version) Zbl 1151.65340 C. R., Math., Acad. Sci. Paris 335, No. 7, 627-632 (2002). MSC: 65M06 PDFBibTeX XMLCite \textit{F. Alouges} et al., C. R., Math., Acad. Sci. Paris 335, No. 7, 627--632 (2002; Zbl 1151.65340) Full Text: DOI
Bresnahan, Timothy F.; Brynjolfsson, Erik; Hitt, Lorin M. Information technology, workplace organization, and the demand for skilled labor: Firm-level evidence. (English) Zbl 1032.91657 Q. J. Econ. 117, No. 1, 339-376 (2002). MSC: 91B42 91B40 PDFBibTeX XMLCite \textit{T. F. Bresnahan} et al., Q. J. Econ. 117, No. 1, 339--376 (2002; Zbl 1032.91657) Full Text: DOI
Brynjolfsson, Erik; Hitt, Lorin Paradox lost? Firm-level evidence on the returns to information systems spending. (English) Zbl 0880.90009 Manage. Sci. 42, No. 4, 541-558 (1996). MSC: 91B38 PDFBibTeX XMLCite \textit{E. Brynjolfsson} and \textit{L. Hitt}, Manage. Sci. 42, No. 4, 541--558 (1996; Zbl 0880.90009) Full Text: DOI Link
Davis, Lorin R. (ed.); Wilson, Robert E. (ed.) Proceedings of the 1974 Heat Transfer and Fluid Mechanics Institute. Held at Oregon State University, Corvallis, Oregon, June 12-14, 1974. (English) Zbl 0279.00019 Stanford, Calif.: Stanford University Press. XII, 364 p. $ 17.50 (1974). MSC: 00Bxx 76-06 PDFBibTeX XML