Publications

• Habilitation à diriger les recherches (Université de Strasbourg) : Contributions à la simulation numérique des modèles de Vlasov en physique des plasmas, january 2011.
• Thèse (Université Paul Sabatier, Toulouse) : Modèles cinétiques et hybrides fluide-cinétique pour les gaz et les plasmas hors équilibre, december 2004.

• A. Crestetto, N. Crouseilles, D. Prel, Deterministic particle method for Fokker-Planck equation with strong oscillations.
• V. Ayot, M. Badsi, Y. Barsamian, A. Crestetto, N. Crouseilles, M. Mehrenberger, A. Prost, C. Tayou-Fotso, High order numerical methods for Vlasov-Poisson models of plasma sheaths.
• N. Crouseilles, M. Lemou, G. Morel, P. Navaro, A well-balanced scheme using exact solutions to the two species Vlasov-Poisson system.
• M. Anandan, B. Boutin, N. Crouseilles, High order asymptotic preserving scheme for linear kinetic equations with diffusive scaling.
• K. Arun, N. Crouseilles, S. Samantaray, High order asymptotic preserving and classical semi-implicit RK schemes for the Euler-Poisson system in the quasi-neutral limit.

2024

• B. Boutin, A. Crestetto, N. Crouseilles, J. Massot, Modified Lawson methods for the Vlasov equation, accepted in SISC.
• N. Crouseilles, X. Hong, Exponential DG methods for Vlasov equations, accepted in Journal of Computational Physics.

2023

• I. Almuslimani, N. Crouseilles, Conservative stabilized Runge-Kutta methods for the Vlasov-Fokker-Planck equation, Journal of Computational Physics 488, 112241, 2023.
• A. Crestetto, N. Crouseilles, D. Prel, Multiscale numerical schemes for the collisional Vlasov equation in the finite Larmor radius approximation regime, SIAM MMS 21(3), 2023.
• N. Crouseilles, P.-A. Hervieux, X. Hong, G. Manfredi, Vlasov-Maxwell equations with spin effects, Journal of Plasma Physics, 89(2), 2023.

2022


• A. Crestetto, N. Crouseilles, Y. Li, J. Massot, Comparison of high-order Eulerian methods for electron hybrid model. Journal of Computational Physics, 451, 110857 (2022).
• G. Manfredi, N. Crouseilles, P.-A. Hervieux, Spin effects in ultrafast laser-plasma interactions, The European Physical Journal Special Topics (2022).

2021


• Y. Mocquard, P. Navaro, N. Crouseilles, HOODESolver.jl: A Julia package for highly oscillatory problems. Journal of Open Scientific Software, 6(61), 3077, 2021.
  More informations here: HOODE.
• N. Crouseilles, P.-A. Hervieux, Y. Li, G. Manfredi, Y. Sun, Geometric Particle-in-Cell methods for the Vlasov-Maxwell equations with spin effects, Journal of Plasma Physics, 87(3), 825870301, 2021.
• J. Bernier, N. Crouseilles, Y. Li, Exact splitting methods for kinetic and Schödinger equations. Journal of Scientifing Computing, 86(10), 2021.


2020


• A. Crestetto, N. Crouseilles, G. Dimarco, M. Lemou, A new deviational Asymptotic Preserving Monte Carlo method for the homogeneous Boltzmann equation, Communications in Mathematical Sciences, 18(8), pp. 2305-2339, 2020.
• N. Crouseilles, L. Einkemmer, J. Massot, Exponential methods for solving hyperbolic problems with application to kinetic equations, J. Comput. Phys. 420, 2020.
• P. Chartier, N. Crouseilles, M. Lemou, Averaging of highly-oscillatory transport equations, Kinetic Related Models, 13(6), pp. 1107-1133, 2020.
• P. Chartier, N. Crouseilles, M. Lemou, F. Méhats, X. Zhao, Uniformly accurate methods for three dimensional Vlasov equations under strong magnetic field with varying direction, SIAM J. Sc. Comput. 42, pp. 520-547, 2020.
• N. Crouseilles, S. Jin, M. Lemou, F. Méhats, A micro-macro method for a kinetic graphene model in one-space dimension, SIAM MMS 18, pp. 444-474, 2020.
• J. Bernier, F. Casas, N. Crouseilles, Splitting methods for rotation: applications to Vlasov equations, SIAM J. Sc. Comput. 42, pp. 666-697, 2020.
• N. Crouseilles, S. Jin, M. Lemou, L. Liu, Nonlinear geometric optics based multiscale stochastic Galerkin methods for highly oscillatory transport equations with random inputs, M2AN, 54(6), pp. 1849-1882, 2020.
• Y. Li, Y. Sun, N. Crouseilles, Numerical simulations of Vlasov-Maxwell equations for laser plasmas based on Poisson structure, J. Comput. Phys., 405, 109172, 2020.
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2019


• A. Crestetto, N. Crouseilles, G. Dimarco, M. Lemou, Asymptotically complexity diminishing schemes (ACDS) for kinetic equations in the diffusive scaling, J. Comput. Phys. 394, pp. 243-262, 2019.
• P. Chartier, N. Crouseilles, M. Lemou, F. Méhats, X. Zhao, Uniformly accurate methods for Vlasov equations with non-homogeneous strong magnetic field, Math. Comp. 88, pp. 2697-2736, 2019.
• A. Crestetto, N. Crouseilles, M. Lemou, A particle micro-macro decomposition based numerical scheme for collisional kinetic equations in the diffusion scaling, Commun. Math. Sc. 16, pp 887-911, 2019.


2018


• P. Chartier, N. Crouseilles, X. Zhao, Numerical methods for the two-dimensional Vlasov-Poisson models in the finite Larmor radius approximation regime, J. Comput. Phys., 375, pp. 619-640, 2018.
• N. Crouseilles, L. Einkemmer, M. Prugger, An exponential integrator for the drift-kinetic model, Comput. Phys. Comm. 224, pp. 144-153, 2018.
• N. Crouseilles, S. Hirstoaga, X. Zhao, Multiscale Particle-in-Cell methods and comparisons for the long time two-dimensional Vlasov-Poisson equation with strong magnetic field, Comput. Phys. Comm. 222, pp. 136-151, 2018.


2017


• N. Crouseilles, S. Jin, M. Lemou, Nonlinear geometric optics method based multi-scale numerical schemes for highly-oscillatory transport equations, Math. Mod. Meth. App. Sc. 27, pp. 2031-2070, 2017.
• N. Crouseilles, M. Lemou, F. Méhats, X. Zhao, Uniformly accurate Particle-In-Cell method for the long time solution of the two-dimensional Vlasov-Poisson equation with uniform strong magnetic field, J. Comput. Phys. 346, pp. 172-190, 2017.
• N. Crouseilles, M. Lemou, F. Méhats, X. Zhao, Uniformly accurate forward semi-Lagrangian methods for highly oscillatory Vlasov-Poisson equations, SIAM MMS 15, pp. 723-744, 2017.
• F. Casas, N. Crouseilles, E. Faou, M. Mehrenberger, High-order Hamiltonian splitting for Vlasov-Poisson equations, Numer. Math. 135, pp. 769-801, 2017.
• N. Crouseilles, G. Dimarco, M. Lemou, Asymptotically stable and time diminishing schemes for rarefied gas dynamics, Kin. Rel. Models 10(3), pp. 643-668, 2017.


2016


• N. Crouseilles, L. Einkemmer, E. Faou, An asymptotic preserving scheme for the relativistic Vlasov-Maxwell equations in the classical limit, Comput. Phys. Comm. 209, pp. 13-26, 2016.
• V. Grandgirard et al., A 5D gyrokinetic full-f global semi-Lagrangian code for flux-driven ion turbulence simulations, Comput. Phys. Comm. 207, pp. 35-68, 2016.
• N. Crouseilles, H. Hivert, M. Lemou, Numerical schemes for kinetic equations in the diffusion and anomalous diffusion limits. Part II: the case of degenerate collision frequency, SIAM J. Sc. Comput. 38, pp. 2464-2491, 2016.
• N. Crouseilles, H. Hivert, M. Lemou, Numerical schemes for kinetic equations in the diffusion and anomalous diffusion limits. Part I: the case of heavy-tailed equilibrium, SIAM J. Sc. Comput. 38, pp. 737-764, 2016.
• N. Crouseilles, M. Lemou, G. Vilmart, Asymptotic preserving numerical scheme for multiscale parabolic problems, C. R. Acad. Sci. Paris Ser. I 354, pp. 271-276, 2016.
• N. Crouseilles, G. Dimarco, M.-H. Vignal, Multiscale schemes for the BGK-Vlasov-Poisson system in the quasi-neutral and fluid limits. Stability analysis and first order schemes, SIAM MMS 14, pp. 65-95, 2016.
• P. Coelho, N. Crouseilles, P. Pereira, M. Roger, Multi-Scale Methods for the Solution of the Radiative Transfer Equation, JQSRT 172, pp. 36-49, 2016.
• N. Crouseilles, M. Lemou, R. Rao, A. Ruhi, S. Sekhar, Asymptotic Preserving scheme for a kinetic model describing incompressible fluids, Kin. Rel. Models, 9, pp. 51-74, 2016.

2015


• N. Crouseilles, H. Hivert, M. Lemou, Multiscale numerical schemes for kinetic equations in the anomalous diffusion limit, C. R. Acad. Sci. Paris Ser. I 353 (2015), pp. 755-760.
• N. Crouseilles, M. Kuhn, G. Latu, Parallelization of an advection-diffusion problem arising in edge plasma physics using hybrid MPI/OpenMP programming, accepté à Euro-Par 2015.
• N. Crouseilles, M. Kuhn, G. Latu, Comparison of numerical solvers for anisotropic diffusion equations arising in plasma physics, J. Sc. Comput., 65, pp. 1091-1128, (2015).
• N. Crouseilles, L. Einkemmer, E. Faou, Hamiltonian splitting for the Vlasov-Maxwell equations, J. Comput. Phys., 283, pp. 224-240, (2015).
• P. Chartier, N. Crouseilles, M. Lemou, F. Méhats, Uniformly accurate numerical schemes for highly oscillatory Klein-Gordon and nonlinear Schrödinger equations, Numer. Math., 129, pp. 211-250, (2015).
• C. Steiner, M. Mehrenberger, N. Crouseilles, V. Grandgirard, G. Latu, F. Rozar, Gyroaverage operator on polar mesh, Eur. Phys. J. D, 69 1, p. 18, (2015).

2014


• M. Roger, C. Caillot, N. Crouseilles, P. Coelho, A hybrid transport-diffusion model for radiative transfer in absorbing and scattering media, J. Comput. Phys., 275, pp. 346-362 (2014).
• N. Crouseilles, P. Navaro, E. Sonnendrücker, Charge conserving grid based methods for the Vlasov-Maxwell equations, Comptes Rendus de Mécanique (Theoritical and numerical approaches for Vlasov-Maxwell equations), 342, pp. 636-646 (2014).
• A. Crestetto, N. Crouseilles, M. Lemou, Asymptotic-Preserving scheme based on a Finite Volume/Particle-In-Cell coupling for Boltzmann-BGK-like equations in the diffusion scaling, FCVA VII - Elliptic, Parabolic and Hyperbolic Problems, Springer Proceedings in Mathematics and Statistics 78, 827-835 (2014).
• G. Latu, V. Grandgirard, J. Abiteboul, N. Crouseilles, G. Dif-Pradalier, X. Garbet, P. Ghendrih, M. Mehrenberger, Y. Sarazin, and E. Sonnendrücker, Improving conservation properties of a 5D gyrokinetic semi-Lagrangian code, Eur. Phys. J. D, 68 11, p. 345, (2014).
• B. Afeyan, F. Casas, N. Crouseilles, A. Dodhy, E. Faou, M. Mehrenberger, E. Sonnendrücker, Simulations of Kinetic Electrostatic Electron Nonlinear (KEEN) Waves with Two-Grid, Variable Velocity Resolution and High-Order Time-Splitting, Eur. Phys. J. D, 68 11, p. 295, (2014).
• N. Crouseilles, P. Glanc, S. Hirstoaga, E. Madaule, M. Mehrenberger, J. Pétri, A new fully two-dimensional conservative semi-Lagrangian method: applications on polar grids, from diocotron instability to ITG turbulence, Eur. Phys. J. D, 68 11, p. 252, (2014).
• N. Crouseilles, G. Manfredi, Asymptotic preserving schemes for Wigner-Poisson-BGK in the diffusion limit, Comput. Phys. Comm., 185, pp. 448-458, (2014).

2013


• N. Crouseilles, M. Lemou, F. Méhats, Asymptotic preserving schemes for highly oscillatory kinetic equations, J. Comput. Phys., 248, pp.287-308, (2013).
• M. Mehrenberger, C. Steiner, L. Marradi, N. Crouseilles, E. Sonnendrücker, B. Afeyan, Vlasov on GPU, ESAIM proc. (Cemracs 2013), December 2013, Vol. 43, p. 37-58.
• M. Roger, N. Crouseilles, A dynamic multi-scale model for transient radiative transfer calculations, JQSRT, 116, pp. 110-121, (2013).
• N. Crouseilles, E. Frénod, S. Hirstoaga, A. Mouton, Two-Scale Macro-Micro decomposition of the Vlasov equation with a strong magnetic field, M3AS, 23, pp. 1527-1559, (2013).
• N. Crouseilles, E. Faou, Quasi-periodic solutions of the 2D Euler equations, Asymptot. Anal., 81, pp. 31-34, (2013).
• N. Crouseilles, P. Glanc, M. Mehrenberger, C. Steiner, Finite volume schemes for Vlasov, ESAIM proc. (Cemracs 2011), pp. 275-297, (2013).

2012


• A. Crestetto, N. Crouseilles, M. Lemou, Kinetic/Fluid micro-macro numerical schemes for Vlasov-Poisson-BGK equations using particles, Kin. Rel. Models, 5, pp. 787-816, (2012).
• J.-P. Braeunig, N. Crouseilles, M. Mehrenberger, E. Sonnendrücker, Guiding-center simulations on curvilinear meshes, Discrete and Continuous Dynamical Systems, Series S, 5, pp. 271-282, (2012).
• N. Crouseilles, A. Ratnani, E. Sonnendrücker, An isogeometric analysis approach for the study of the gyrokinetic quasi-neutrality equation, J. Comput. Phys., 231, pp. 373-393, (2012).

2011


• N. Crouseilles, M. Mehrenberger, F. Vecil, Discontinuous Galerkin semi-Lagrangian method for Vlasov-Poisson , ESAIM Proc., 32, pp. 211-230, (2011).
• N. Crouseilles, M. Lemou, An asymptotic preserving scheme based on a micro-macro decomposition for collisional Vlasov equations: diffusion and high-field scaling limits, Kinetic Related Models, 4, pp. 441-477, (2011).
• N. Crouseilles, Th. Respaud, A charge preserving scheme for the numerical resolution of the Vlasov-Ampère equations, CiCP, 10, pp. 1027-1043, (2011).

2010


• N. Crouseilles, M. Mehrenberger, H. Sellama, Numerical solution of the gyroaverage operator for the finite gyroradius guiding-center model, CiCP, 8, pp. 484-510, (2010).
• N. Crouseilles, M. Mehrenberger, E. Sonnendrücker, Conservative semi-Lagrangian schemes for the Vlasov equation, J. Comput. Phys., 229, pp 1927-1953, (2010).

2009


• R. Belaouar, N. Crouseilles, P. Degond, E. Sonnendrücker, An asymptotically stable semi-Lagrangian scheme in the quasi-neutral limit, J. Sc. Comput 41, pp. 341-365, (2009).
• N. Crouseilles, Th. Respaud, E. Sonnendrücker, A forward semi-Lagrangian method for the numerical solution of the Vlasov equation, Comput. Phys. Comm., 180, pp. 1730-1745, (2009).
• M. Bostan, N. Crouseilles, Convergence of a semi-Lagrangian scheme for the reduced Vlasov-Maxwell system for laser-plasma interaction, Numer. Math., 112, pp. 169-195, (2009).
• N. Crouseilles, G. Latu, E. Sonnendrücker, A Vlasov solver based on local cubic spline interpolation on patches, J. Comput. Phys., 228, pp. 1429-1446, (2009).

2008


• N. Crouseilles, P.-A. Hervieux, G. Manfredi, Quantum hydrodynamic model for the nonlinear electron dynamics in thin metal films, Phys. Rev. B, 78, (2008).
• N. Crouseilles, M. Gutnic, G. Latu, E. Sonnendrücker, Comparison of Two Eulerian solvers for the four dimensional Vlasov equation (Part I), Communications in Nonlinear Science and Numerical Simulation, pp 88-93, 13, (2008).
• N. Crouseilles, M. Gutnic, G. Latu, E. Sonnendrücker, Comparison of Two Eulerian solvers for the four dimensional Vlasov equation (Part II), Communications in Nonlinear Science and Numerical Simulation, pp 94-99, 13, (2008).
• V. Grandgirard, Y. Sarazin, X. Garbet, G. Dif-Pradalier, P. Ghendrih, N. Crouseilles, G. Latu, E. Sonnendrücker, N. Besse, Computing ITG turbulence with a full-f semi-Lagrangian code, Communications in Nonlinear Science and Numerical Simulation, pp 81-87, 13, (2008).

2007


• N. Crouseilles, G. Latu, E. Sonnendrücker, Hermite spline interpolation on patches for parallelly solving the Vlasov-Poisson equation, Int. J. Appl. Math. Comput. Sc., Vol. 17, No 3, pp 101-115, (2007).
• G. Latu, N. Crouseilles, V. Grandgirard, E. Sonnendrücker, Gyrokinetic Semi-Lagrangian Parallel Simulation using a Hybrid OpenMP/MPI Programming, Recent Advances in PVM an MPI, Springer, LNCS, pp 356-364, Vol. 4757, (2007).
• N. Crouseilles, G. Latu, E. Sonnendrücker, Hermite splines interpolation on patches for a parallel implementation of beam focusing problems, Nuclear instruments and Methods in Physics Research A., pp 129-132, Vol. 557(1), (2007).
• V. Grandgirard, Y. Sarazin, P. Angelino, B. Alberto, N. Crouseilles, G. Darmet, G. Dif-Pradalier, X. Garbet, P. Ghendrih, S. Jolliet, G. Latu, L. Villard, E. Sonnendrücker, Global full-f gyrokinetic simulations of plasma turbulence, Plasma physics and controlled fusion, Vol. 49, pp. B173-B182, (2007).

2006


• N. Crouseilles, G. Latu, J.-L. Lemaire, E. Sonnendrücker, Semi-Lagrangian Vlasov codes for the transport of intense particle beams in the 4D transverse phase-space, Beam Dynamics Newsletter, Num. 41, (2006).
• V. Grandgirard, Y. Sarazin, X. Garbet, G. Dif-Pradalier, P. Ghendrih, N. Crouseilles, G. Latu, E. Sonnendrücker, N. Besse, P. Bertrand, GYSELA, a full-f global gyrokinetic Semi-Lagrangian code for ITG turbulence simulations, Proceedings of Theory of Fusion Plasmas, Varenna, (2006).
• Y. Sarazin, V. Grangirard, G. Dif-Pradalier, E. Fleurance, X. Garbet, P. Ghendrih, P. Bertrand, N. Besse, N. Crouseilles, E. Sonnendrücker, G. Latu, E. Violard, Impact of large scale flows on turbulent transport, Plasma Phys. Controlled Fusion, Vol. 48, pp B179-B188, (2006).

2005


• N. Crouseilles, F. Filbet, A conservative and entropic method for the Vlasov-Fokker-Planck-Landau equation, IRMA Lect. Math. Theor. Phys. 7, (2005).
• N. Crouseilles, P. Degond, M. Lemou, A hybrid kinetic-fluid model for solving the Vlasov-BGK equations, J. Comput. Phys., 203, pp 572-601, (2005).

2004


• N. Crouseilles, F. Filbet, Numerical approximation of collisional plasmas by high order methods, J. Comput. Phys., 201, pp. 546-572, (2004).
• N. Crouseilles, P. Degond, M. Lemou, A hybrid kinetic-fluid model for solving the gas dynamics Boltzmann-BGK equations, J. Comput. Phys., 199, pp 776-808, (2004).

2003


• N. Crouseilles, P. Degond, M. Lemou, Hybrid kinetic-fluid model for nonequilibrium systems, C. R. Math. Acad. Sci. Paris 336, 4, pp. 359-364, (2003).

2002


• N. Crouseilles, Dérivation de modèles couplés dérive-diffusion/cinétique par une méthode de décomposition en vitesse, C. R. Math. Acad. Sci. Paris 334, 9, pp. 827-832, (2002).

• G. Latu, V. Grandgirard, J. Abiteboul, M. Bergot, N. Crouseilles, X. Barget, P. Ghendrih, M. Mehrenberger, Y. Sarazin, H. Sellama, E. Sonnendrücker, D. Zarzoso, Accuracy of unperturbed motion of particles in a gyrokinetic semi-Lagrangian code. Rapport de recherche INRIA numéro 8054.
• G. Latu, V. Grandgirard, N. Crouseilles, G. Dif-Pradalier, Scalable quasineutral solver for gyrokinetic simulation. Rapport de recherche INRIA numéro 7611.
• G. Latu, V. Grandgirard, N. Crouseilles, Parallel bottleneck in the Quasineutrality solver embedded in GYSELA. Rapport de recherche INRIA numéro 7595.
• G. Latu, V. Grandgirard, N. Crouseilles, R. Belaouar, E. Sonnendrücker, Some parallel algorithms for the quasineutrality solver of GYSELA. Rapport de recherche INRIA numéro 7591.
• J. Guterl, J.-P. Braeunig, N. Crouseilles, V. Grandgirard, G. Latu, M. Mehrenberger, E. Sonnendrücker, Test of some numerical limiters for the conservative PSM scheme for 4D drift-kinetic simulations. Rapport de recherche INRIA numéro 7467.
• J.-P. Braeunig, N. Crouseilles, V. Grandgirard, G. Latu, M. Mehrenberger, E. Sonnendrücker, Some numerical aspects of the conservative PSM scheme in a 4D drift-kinetic code. Rapport de recherche INRIA numéro 7109.
• N. Crouseilles, A. Ghizzo, S. Salmon, Vlasov laser-plasma interaction simulations with a moving grid. Rapport de recherche INRIA numéro 6109.

Logiciel

Séjours de recherche

• SJTU, Shanghai, 1 semaine (mai 2019).
• University of Ferrare, Ferrare, 1 semaine (octobre 2018).
• IPP, Munich, 1 semaine (mars 2018).
• IIS, Bangalore, 2 semaines (décembre 2013).
• IST, Lisbonne, 1 semaine (juillet 2013).
• University of Innsbruck, 1 semaine (mars 2013).
• IPP, Munich, 1 semaine (septembre 2013).
• IPP, Munich, 1 semaine (décembre 2012).
• IPAM, UCLA, semestre thématique Computational methods in high energy density plasmas, 5 semaines (avril-mai 2012).