# zbMATH — the first resource for mathematics

## Lorin, Emmanuel

Compute Distance To:
 Author ID: lorin.emmanuel Published as: Lorin, E.; Lorin, Emmanuel
 Documents Indexed: 48 Publications since 2002, including 1 Book
all top 5

#### Co-Authors

 5 single-authored 16 Bandrauk, André D. 13 Antoine, Xavier 8 Fillion-Gourdeau, François 5 Alouges, François 5 Le Coq, Gérard 4 Chelkowski, Szczepan 3 De Vuyst, Florian 3 Yang, Xu 2 Lytova, Marianna 1 Ben Haj Ali, Amine 1 Chai, Lihui 1 Chakraborty, Debananda 1 Chalmers, Noel 1 Cournoyer, Alain 1 Godillon, Pauline 1 Hou, Fengji 1 Jung, Jae-Hun 1 Labbé, Stéphane 1 MacLean, Steve 1 Memarian, A. 1 Moloney, Jerome V. 1 Sater, J. 1 Seignole, V. 1 Soulaimani, Azzeddine 1 Tian, Simon 1 Turbis, Pascal 1 Zhang, Yong
all top 5

#### Serials

 8 Journal of Computational Physics 5 Computer Physics Communications 3 Numerical Algorithms 2 Journal of Mathematical Analysis and Applications 2 Journal of Scientific Computing 2 Journal of Physics A: Mathematical and Theoretical 1 Applicable Analysis 1 Computer Methods in Applied Mechanics and Engineering 1 Applied Mathematics and Computation 1 Journal of Computational and Applied Mathematics 1 Mathematics and Computers in Simulation 1 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 Applied Numerical Mathematics 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 The Canadian Applied Mathematics Quarterly 1 Annals of Mathematics and Artificial Intelligence 1 European Journal of Mechanics. B. Fluids 1 Communications in Nonlinear Science and Numerical Simulation 1 Nonlinear Analysis. Real World Applications 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 AMRX. Applied Mathematics Research eXpress 1 Multiscale Modeling & Simulation 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Communications in Computational Physics 1 CRM Series in Mathematical Physics
all top 5

#### Fields

 33 Numerical analysis (65-XX) 29 Partial differential equations (35-XX) 13 Quantum theory (81-XX) 8 Optics, electromagnetic theory (78-XX) 6 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH Open

33 Publications have been cited 167 times in 81 Documents Cited by Year
Numerical solution of the time-dependent Dirac equation in coordinate space without fermion-doubling. Zbl 1295.35363
Fillion-Gourdeau, François; Lorin, Emmanuel; Bandrauk, André D.
2012
A numerical Maxwell-Schrödinger model for intense laser-matter interaction and propagation. Zbl 1196.78021
Lorin, E.; Chelkowski, S.; Bandrauk, A.
2007
Absorbing boundary conditions for relativistic quantum mechanics equations. Zbl 1349.81080
Antoine, X.; Lorin, E.; Sater, J.; Fillion-Gourdeau, F.; Bandrauk, A. D.
2014
A simple and accurate mixed $$P^{0}-Q^{1}$$ solver for the Maxwell-Dirac equations. Zbl 1202.35014
Lorin, E.; Bandrauk, A.
2011
Mathematical modeling of boundary conditions for laser-molecule time-dependent Schrödinger equations and some aspects of their numerical computation – one-dimensional case. Zbl 1169.78006
Lorin, Emmanuel; Chelkowski, S.; Bandrauk, A. D.
2009
Computational performance of simple and efficient sequential and parallel Dirac equation solvers. Zbl 1411.35234
Antoine, X.; Lorin, E.
2017
Avoiding the coordinate singularity problem in the numerical solution of the Dirac equation in cylindrical coordinates. Zbl 1331.35293
Fillion-Gourdeau, F.; Lorin, E.; Bandrauk, A. D.
2015
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. Zbl 1332.78026
Antoine, X.; Lorin, E.; Bandrauk, A. D.
2015
A split-step numerical method for the time-dependent Dirac equation in 3-D axisymmetric geometry. Zbl 1349.65292
Fillion-Gourdeau, François; Lorin, Emmanuel; Bandrauk, André D.
2014
The reservoir technique: a way to make Godunov-type schemes zero or very low diffuse. Application to Colella-Glaz solver. Zbl 1151.76533
Alouges, François; De Vuyst, Florian; Le Coq, Gérard; Lorin, Emmanuel
2008
Convection systems with stiff source terms. Zbl 1050.76037
Lorin, E.; Seignole, V.
2003
Galerkin method for unsplit 3-D Dirac equation using atomically/kinetically balanced B-spline basis. Zbl 1352.65341
Fillion-Gourdeau, F.; Lorin, E.; Bandrauk, A. D.
2016
Frozen Gaussian approximation based domain decomposition methods for the linear Schrödinger equation beyond the semi-classical regime. Zbl 1349.65430
Lorin, E.; Yang, X.; Antoine, X.
2016
Lagrange-Schwarz waveform relaxation domain decomposition methods for linear and nonlinear quantum wave problems. Zbl 1334.65152
Antoine, X.; Lorin, E.
2016
The reservoir scheme for systems of conservation laws. Zbl 1118.65350
Alouges, François; de Vuyst, Florian; Le Coq, Gérard; Lorin, Emmanuel
2002
An analysis of Schwarz waveform relaxation domain decomposition methods for the imaginary-time linear Schrödinger and Gross-Pitaevskii equations. Zbl 1383.65122
Antoine, X.; Lorin, E.
2017
Two-dimensional extension of the reservoir technique for some linear advection systems. Zbl 1251.76026
Alouges, François; Le Coq, Gérard; Lorin, Emmanuel
2007
A process of reduction of the numerical diffusion of usual order one flux difference schemes for nonlinear hyperbolic systems. Zbl 1151.65340
Alouges, François; De Vuyst, Florian; Le Coq, Gérard; Lorin, Emmanuel
2002
Asymptotic estimates of the convergence of classical Schwarz waveform relaxation domain decomposition methods for two-dimensional stationary quantum waves. Zbl 1407.65152
Antoine, Xavier; Hou, Fengji; Lorin, Emmanuel
2018
Relativistic Stark resonances in a simple exactly soluble model for a diatomic molecule. Zbl 1301.81371
Fillion-Gourdeau, François; Lorin, Emmanuel; Bandrauk, André D.
2012
On the reservoir technique convergence for nonlinear hyperbolic conservation laws. I. Zbl 1173.35324
Labbé, Stéphane; Lorin, Emmanuel
2009
A positivity preserving finite element-finite volume solver for the Spalart-Allmaras turbulence model. Zbl 1173.76347
Lorin, Emmanuel; Ben Haj Ali, Amine; Soulaimani, Azzeddine
2007
Frozen Gaussian approximation for the Dirac equation in semiclassical regime. Zbl 1428.65027
Chai, Lihui; Lorin, Emmanuel; Yang, Xu
2019
Laser filamentation. Mathematical methods and models. Zbl 1336.78001
Bandrauk, Andre D. (ed.); Lorin, Emmanuel (ed.); Moloney, Jerome V. (ed.)
2016
An efficient determination of critical parameters of nonlinear Schrödinger equation with a point-like potential using generalized polynomial chaos methods. Zbl 1302.65231
Chakraborty, Debananda; Jung, Jae-Hun; Lorin, Emmanuel
2013
The WASP model: a micro-macro system of wave-Schrödinger-plasma equations for filamentation. Zbl 1364.35302
Lorin, E.; Chelkowski, S.; Bandrauk, A. D.
2011
Multiresolution scheme for time-dependent Schrödinger equation. Zbl 1205.65237
Lorin, Emmanuel; Bandrauk, A. D.
2010
Approximation of nonconservative hyperbolic systems based on different shock curve definitions. Zbl 1252.65139
Chalmers, N.; Lorin, E.
2009
Towards perfectly matched layers for time-dependent space fractional PDEs. Zbl 1452.65266
Antoine, Xavier; Lorin, Emmanuel
2019
Nonlinear nonperturbative optics model enriched by evolution equation for polarization. Zbl 1400.78022
Lytova, Marianna; Lorin, Emmanuel; Bandrauk, André D.
2018
Frozen Gaussian approximation-based two-level methods for multi-frequency Schrödinger equation. Zbl 1375.81107
Lorin, E.; Yang, Xu
2016
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. Zbl 1318.78009
Lorin, E.; Lytova, M.; Memarian, A.; Bandrauk, A. D.
2015
A Maxwell-Schrödinger model for non-perturbative laser-molecule interaction and some methods of numerical computation. Zbl 1330.81202
Lorin, Emmanuel; Chelkowski, Szczepan; Bandrauk, André
2007
Frozen Gaussian approximation for the Dirac equation in semiclassical regime. Zbl 1428.65027
Chai, Lihui; Lorin, Emmanuel; Yang, Xu
2019
Towards perfectly matched layers for time-dependent space fractional PDEs. Zbl 1452.65266
Antoine, Xavier; Lorin, Emmanuel
2019
Asymptotic estimates of the convergence of classical Schwarz waveform relaxation domain decomposition methods for two-dimensional stationary quantum waves. Zbl 1407.65152
Antoine, Xavier; Hou, Fengji; Lorin, Emmanuel
2018
Nonlinear nonperturbative optics model enriched by evolution equation for polarization. Zbl 1400.78022
Lytova, Marianna; Lorin, Emmanuel; Bandrauk, André D.
2018
Computational performance of simple and efficient sequential and parallel Dirac equation solvers. Zbl 1411.35234
Antoine, X.; Lorin, E.
2017
An analysis of Schwarz waveform relaxation domain decomposition methods for the imaginary-time linear Schrödinger and Gross-Pitaevskii equations. Zbl 1383.65122
Antoine, X.; Lorin, E.
2017
Galerkin method for unsplit 3-D Dirac equation using atomically/kinetically balanced B-spline basis. Zbl 1352.65341
Fillion-Gourdeau, F.; Lorin, E.; Bandrauk, A. D.
2016
Frozen Gaussian approximation based domain decomposition methods for the linear Schrödinger equation beyond the semi-classical regime. Zbl 1349.65430
Lorin, E.; Yang, X.; Antoine, X.
2016
Lagrange-Schwarz waveform relaxation domain decomposition methods for linear and nonlinear quantum wave problems. Zbl 1334.65152
Antoine, X.; Lorin, E.
2016
Laser filamentation. Mathematical methods and models. Zbl 1336.78001
Bandrauk, Andre D. (ed.); Lorin, Emmanuel (ed.); Moloney, Jerome V. (ed.)
2016
Frozen Gaussian approximation-based two-level methods for multi-frequency Schrödinger equation. Zbl 1375.81107
Lorin, E.; Yang, Xu
2016
Avoiding the coordinate singularity problem in the numerical solution of the Dirac equation in cylindrical coordinates. Zbl 1331.35293
Fillion-Gourdeau, F.; Lorin, E.; Bandrauk, A. D.
2015
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. Zbl 1332.78026
Antoine, X.; Lorin, E.; Bandrauk, A. D.
2015
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. Zbl 1318.78009
Lorin, E.; Lytova, M.; Memarian, A.; Bandrauk, A. D.
2015
Absorbing boundary conditions for relativistic quantum mechanics equations. Zbl 1349.81080
Antoine, X.; Lorin, E.; Sater, J.; Fillion-Gourdeau, F.; Bandrauk, A. D.
2014
A split-step numerical method for the time-dependent Dirac equation in 3-D axisymmetric geometry. Zbl 1349.65292
Fillion-Gourdeau, François; Lorin, Emmanuel; Bandrauk, André D.
2014
An efficient determination of critical parameters of nonlinear Schrödinger equation with a point-like potential using generalized polynomial chaos methods. Zbl 1302.65231
Chakraborty, Debananda; Jung, Jae-Hun; Lorin, Emmanuel
2013
Numerical solution of the time-dependent Dirac equation in coordinate space without fermion-doubling. Zbl 1295.35363
Fillion-Gourdeau, François; Lorin, Emmanuel; Bandrauk, André D.
2012
Relativistic Stark resonances in a simple exactly soluble model for a diatomic molecule. Zbl 1301.81371
Fillion-Gourdeau, François; Lorin, Emmanuel; Bandrauk, André D.
2012
A simple and accurate mixed $$P^{0}-Q^{1}$$ solver for the Maxwell-Dirac equations. Zbl 1202.35014
Lorin, E.; Bandrauk, A.
2011
The WASP model: a micro-macro system of wave-Schrödinger-plasma equations for filamentation. Zbl 1364.35302
Lorin, E.; Chelkowski, S.; Bandrauk, A. D.
2011
Multiresolution scheme for time-dependent Schrödinger equation. Zbl 1205.65237
Lorin, Emmanuel; Bandrauk, A. D.
2010
Mathematical modeling of boundary conditions for laser-molecule time-dependent Schrödinger equations and some aspects of their numerical computation – one-dimensional case. Zbl 1169.78006
Lorin, Emmanuel; Chelkowski, S.; Bandrauk, A. D.
2009
On the reservoir technique convergence for nonlinear hyperbolic conservation laws. I. Zbl 1173.35324
Labbé, Stéphane; Lorin, Emmanuel
2009
Approximation of nonconservative hyperbolic systems based on different shock curve definitions. Zbl 1252.65139
Chalmers, N.; Lorin, E.
2009
The reservoir technique: a way to make Godunov-type schemes zero or very low diffuse. Application to Colella-Glaz solver. Zbl 1151.76533
Alouges, François; De Vuyst, Florian; Le Coq, Gérard; Lorin, Emmanuel
2008
A numerical Maxwell-Schrödinger model for intense laser-matter interaction and propagation. Zbl 1196.78021
Lorin, E.; Chelkowski, S.; Bandrauk, A.
2007
Two-dimensional extension of the reservoir technique for some linear advection systems. Zbl 1251.76026
Alouges, François; Le Coq, Gérard; Lorin, Emmanuel
2007
A positivity preserving finite element-finite volume solver for the Spalart-Allmaras turbulence model. Zbl 1173.76347
Lorin, Emmanuel; Ben Haj Ali, Amine; Soulaimani, Azzeddine
2007
A Maxwell-Schrödinger model for non-perturbative laser-molecule interaction and some methods of numerical computation. Zbl 1330.81202
Lorin, Emmanuel; Chelkowski, Szczepan; Bandrauk, André
2007
Convection systems with stiff source terms. Zbl 1050.76037
Lorin, E.; Seignole, V.
2003
The reservoir scheme for systems of conservation laws. Zbl 1118.65350
Alouges, François; de Vuyst, Florian; Le Coq, Gérard; Lorin, Emmanuel
2002
A process of reduction of the numerical diffusion of usual order one flux difference schemes for nonlinear hyperbolic systems. Zbl 1151.65340
Alouges, François; De Vuyst, Florian; Le Coq, Gérard; Lorin, Emmanuel
2002
all top 5

#### Cited by 111 Authors

 32 Lorin, Emmanuel 14 Antoine, Xavier 12 Bandrauk, André D. 7 Fillion-Gourdeau, François 6 Cai, Yongyong 5 Bao, Weizhu 4 Besse, Christophe 4 Yin, Jia 3 Alouges, François 3 Chelkowski, Szczepan 3 Jia, Xiaowei 3 Klein, Pauline 3 Le Coq, Gérard 3 Pötz, Walter 3 Yang, Xu 2 Arnold, Anton 2 Ben Haj Ali, Amine 2 Bonzani, Ida 2 De Vuyst, Florian 2 Hammer, René 2 Jung, Jae-Hun 2 Soulaimani, Azzeddine 2 Tang, Qinglin 2 Zheng, Chunxiong 1 Aguillon, Nina 1 Arnault, Pablo 1 Battaglio, M. 1 Bauke, Heiko 1 Beerwerth, Randolf 1 Betke, J. 1 Biondini, Gino 1 Campolo, D. 1 Cao, Liqun 1 Chai, Lihui 1 Chakraborty, Debananda 1 Chalons, Christophe 1 Costin, Ovidiu 1 Costin, Rodica D. 1 Crochet, M. W. 1 Debbasch, Fabrice 1 Dellacherie, Stéphane 1 Gao, Yuan 1 Godillon, Pauline 1 Gonthier, Keith A. 1 Gordon, Diana F. 1 Grobe, Rainer 1 Gulley, Jeremy R. 1 Habashi, Wagdi G. 1 Hafizi, B. 1 Hendrix, Maurice H. W. 1 Henkes, Ruud A. W. M. 1 Hofstrand, A. 1 Hou, Fengji 1 Hu, Jiashun 1 Huang, Fei 1 Huthmacher, Klaus 1 Jaiman, Rajeev Kumar 1 Jennings, D. J. 1 Jia, Man 1 Joshi, Vaibhav 1 Khurram, Rooh A. 1 Labbé, Stéphane 1 Landsman, A. S. 1 Lebowitz, Joel Louis 1 Li, Buyang 1 Li, Shu-Cun 1 Li, Xianggui 1 Lou, Senyue 1 Lv, QingZhong 1 Lytova, Marianna 1 Ma, Chupeng 1 Ma, Ying 1 MacLean, Steve 1 Mennouni, Abdelaziz 1 Molberg, Andreas K. 1 Moloney, Jerome V. 1 Müller, Hans-Georg 1 Mussone, Lorenzo 1 Palazzo, G. S. 1 Pasquino, R. 1 Patchkovskii, Serguei 1 Pinaud, Olivier 1 Rethfeld, Bärbel 1 Revelli, Roberto 1 Ridolfi, Luca 1 Sanderse, Benjamin 1 Sater, J. 1 Schreilechner, Magdalena 1 Sofronov, Ivan Denisovich 1 Steijl, René 1 Su, Qifan 1 Sun, Ji-Lin 1 Tang, Xiaoyan 1 Teixeira, Fernando L. 1 Todorova, Blaga N. 1 Vaibhav, Vishal 1 Van Zwieten, J. S. B. 1 Vuik, Cornelis 1 Wang, Danhua 1 Wang, Hai Bian ...and 11 more Authors
all top 5

#### Cited in 34 Serials

 18 Journal of Computational Physics 7 Computer Physics Communications 6 Journal of Scientific Computing 4 SIAM Journal on Numerical Analysis 4 Mathematical and Computer Modelling 3 Computer Methods in Applied Mechanics and Engineering 3 Numerical Algorithms 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Computers and Fluids 2 Journal of Mathematical Analysis and Applications 2 Numerische Mathematik 2 Physica D 2 Applied Mathematics Letters 2 Nonlinear Analysis. Real World Applications 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 Journal of Engineering Mathematics 1 Physica A 1 Mathematics of Computation 1 Applied Mathematics and Computation 1 Journal of Computational and Applied Mathematics 1 Applied Numerical Mathematics 1 Numerical Methods for Partial Differential Equations 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 SIAM Journal on Scientific Computing 1 Computational and Applied Mathematics 1 European Journal of Mechanics. B. Fluids 1 Communications in Nonlinear Science and Numerical Simulation 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Multiscale Modeling & Simulation 1 Science China. Mathematics 1 ISRN Mathematical Physics 1 Mathematical Sciences 1 Research in the Mathematical Sciences
all top 5

#### Cited in 21 Fields

 56 Numerical analysis (65-XX) 51 Partial differential equations (35-XX) 28 Quantum theory (81-XX) 15 Fluid mechanics (76-XX) 7 Optics, electromagnetic theory (78-XX) 3 Mechanics of deformable solids (74-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Operator theory (47-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Algebraic geometry (14-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX)