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Structure: Internal structure identifier : 525243
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Continuous changes of variables and the Magnus expansion

Fernando Casas , Philippe Chartier , Ander Murua
Journal of Physics Communications, In press, 3 (9), pp.095014. ⟨10.1088/2399-6528/ab42c1⟩
Journal articles hal-02393566v1
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On weakly turbulent solutions to the perturbed linear Harmonic oscillator

Erwan Faou , Pierre Raphaël
Preprints, Working Papers, ... hal-02867631v1
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A Piecewise Deterministic Limit for a Multiscale Stochastic Spatial Gene Network

Arnaud Debussche , Mac Jugal Nguepedja Nankep
Applied Mathematics and Optimization, 2021, 84 (S2), pp.1731-1767. ⟨10.1007/s00245-021-09809-0⟩
Journal articles hal-02894345v1
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Uniformly accurate time-splitting methods for the semiclassical linear Schrödinger equation

Philippe Chartier , Loïc Le Treust , Florian Méhats
ESAIM: Mathematical Modelling and Numerical Analysis, 2019, 53 (2), pp.443-473. ⟨10.1051/m2an/2018060⟩
Journal articles hal-01257753v3
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Study of deformation and failure in an anisotropic rock with a three-dimensional discrete element model

Yulong Zhang , Jianfu Shao , Géry de Saxcé , Chong Shi , Zaobao Liu et al.
International Journal of Rock Mechanics and Mining Sciences, 2019, 120, pp.17 - 28. ⟨10.1016/j.ijrmms.2019.05.007⟩
Journal articles hal-03484498v1

Unconditional and optimal $H^2$-error estimates of two linear and conservative finite difference schemes for the Klein-Gordon-Schrödinger equation in high dimensions

Tingchun Wang , Xiaofei Zhao , Jiaping Jiang
Advances in Computational Mathematics, 2018, 44 (2), pp.477-503. ⟨10.1007/s10444-017-9557-5⟩
Journal articles hal-01576947v1
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Large deviations for the dynamic $\Phi^{2n}_d$ model

Sandra Cerrai , Arnaud Debussche
Applied Mathematics and Optimization, 2019, 80 (1), pp.81-102. ⟨10.1007/s00245-017-9459-4⟩
Journal articles hal-01518465v1
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Highly-oscillatory problems with time-dependent vanishing frequency

Philippe Chartier , Mohammed Lemou , Florian Méhats , Gilles Vilmart
SIAM Journal on Numerical Analysis, 2019, 57 (2), pp.925-944. ⟨10.1137/18M1203456⟩
Journal articles hal-01845614v2
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Gradient Estimates and Maximal Dissipativity for the Kolmogorov Operator in $\Phi^4_2$.

Giuseppe da Prato , Arnaud Debussche
Electronic Communications in Probability, 2020, 25 (paper no. 9), 16 pp. ⟨10.1214/20-ECP294⟩
Journal articles hal-02390677v1
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Uniformly accurate methods for Vlasov equations with non-homogeneous strong magnetic field

Philippe Chartier , Nicolas Crouseilles , Mohammed Lemou , Florian Méhats , Xiaofei Zhao et al.
Mathematics of Computation, 2019, 88 (320), pp.2697-2736. ⟨10.1090/mcom/3436⟩
Journal articles hal-01703477v1
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Asymptotically complexity diminishing schemes (ACDS) for kinetic equations in the diffusive scaling

Anaïs Crestetto , Nicolas Crouseilles , Giacomo Dimarco , Mohammed Lemou
Journal of Computational Physics, 2019, 394, pp.243-262. ⟨10.1016/⟩
Journal articles hal-01849671v2
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Uniformly accurate Particle-In-Cell method for the long time two-dimensional Vlasov-Poisson equation with strong magnetic field

Nicolas Crouseilles , Mohammed Lemou , Florian Méhats , Xiaofei Zhao
Journal of Computational Physics, 2017, 346, pp.172-190. ⟨10.1016/⟩
Journal articles hal-01418976v1
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Compositions of pseudo-symmetric integrators with complex coefficients for the numerical integration of differential equations

Fernando Casas , Philippe Chartier , Alejandro Escorihuela-Tomàs , Yong Zhang
Preprints, Working Papers, ... hal-03141166v1
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Kolmogorov Equations and Weak Order Analysis for SPDES with Nonlinear Diffusion Coefficient

Charles-Edouard Bréhier , Arnaud Debussche
Journal de Mathématiques Pures et Appliquées, 2018, 116, pp.193-254. ⟨10.1016/j.matpur.2018.08.010⟩
Journal articles hal-01481966v2
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Stochastic Analysis of Average Based Distributed Algorithms

Yves Mocquard , Bruno Sericola , Frédérique Robin , Emmanuelle Anceaume
Journal of Applied Probability, 2021, 58 (2), pp.394 - 410. ⟨10.1017/jpr.2020.97⟩
Journal articles hal-02473856v1
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Numerical simulations of Vlasov-Maxwell equations for laser plasmas based on Poisson structure

Yingzhe Li , Nicolas Crouseilles , Yajuan Sun
Journal of Computational Physics, 2020, 405, pp.1-20. ⟨10.1016/⟩
Journal articles hal-02391668v1
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Multiscale Particle-in-Cell methods and comparisons for the long-time two-dimensional Vlasov-Poisson equation with strong magnetic field

Nicolas Crouseilles , Sever Adrian Hirstoaga , Xiaofei Zhao
Computer Physics Communications, 2018, 222, pp.136-151. ⟨10.1016/j.cpc.2017.09.027⟩
Journal articles hal-01496854v1

The Schrödinger equation with spatial white noise potential

Arnaud Debussche , Hendrik Weber
Electronic Journal of Probability, 2018, 23, pp.1-16
Journal articles hal-01942694v1
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Dynamics of the Schrödinger-Langevin equation

Quentin Chauleur
Nonlinearity, 2021, 34 (4), pp.1943-1974. ⟨10.1088/1361-6544/abd528⟩
Journal articles hal-02541831v1
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Trefftz Discontinuous Galerkin basis functions for a class of Friedrichs systems coming from linear transport

Christophe Buet , Bruno Despres , Guillaume Morel
Advances in Computational Mathematics, 2020
Journal articles hal-01964528v1
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Uniformly accurate exponential-type integrators for Klein-Gordon equations with asymptotic convergence to classical splitting schemes in the nonlinear Schrödinger limit

Simon Baumstark , Erwan Faou , Katharina Schratz
Mathematics of Computation, 2018, 87 (311), pp.1227-1254. ⟨10.1090/mcom/3263⟩
Journal articles hal-01331949v2

Analysis of a time-dependent problem of mixed migration and population dynamics

François Castella , Philippe Chartier , Julie Sauzeau
Preprints, Working Papers, ... hal-01255118v1
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On numerical Landau damping for splitting methods applied to the Vlasov-HMF model

Erwan Faou , Romain Horsin , Frédéric Rousset
Foundations of Computational Mathematics, 2018, 18 (1), pp.97-134. ⟨10.1007/s10208-016-9333-9⟩
Journal articles hal-01219115v1
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Exact splitting methods for kinetic and Schrödinger equations

Joackim Bernier , Nicolas Crouseilles , Yingzhe Li
Journal of Scientific Computing, 2021, 86 (1), ⟨10.1007/s10915-020-01369-9⟩
Journal articles hal-02425605v1
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Optimality and resonances in a class of compact finite difference schemes of high order

Joackim Bernier
Calcolo, 2019, 56 (2), pp.article 12. ⟨10.1007/s10092-019-0309-4⟩
Journal articles hal-01612326v1
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Stable Ground States for the HMF Poisson Model

Marine Fontaine , Mohammed Lemou , Florian Méhats
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2019, 36 (1), pp.217-255. ⟨10.1016/j.anihpc.2018.05.002⟩
Journal articles hal-01582008v2
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Exponential Runge-Kutta methods for Vlasov-Poisson equation

Josselin Massot , Nicolas Crouseilles , Anaïs Crestetto
Numerical Methods for Multiscale Models arising in Physics and Biology, Jun 2019, Nantes, France
Conference poster hal-03196935v1
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Nonlinear instability of inhomogeneous steady states solutions to the HMF Model

Mohammed Lemou , Ana Maria M Luz , Florian Méhats
Journal of Statistical Physics, 2020, 178 (3), pp.645-665. ⟨10.1007/s10955-019-02448-4⟩
Journal articles hal-02048776v2
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A formal series approach to the center manifold theorem

François Castella , Philippe Chartier , Julie Sauzeau
Foundations of Computational Mathematics, 2018, 18 (6), pp.1397-1434. ⟨10.1007/s10208-017-9371-y⟩
Journal articles hal-01279715v2
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Averaging of highly-oscillatory transport equations

Philippe Chartier , Nicolas Crouseilles , Mohammed Lemou , Florian Méhats
Kinetic and Related Models , 2020, 13 (6), pp.1107-1133. ⟨10.3934/krm.2020039⟩
Journal articles hal-01396685v1