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High-order Hamiltonian splitting for Vlasov-Poisson equations

Fernando Casas , Nicolas Crouseilles , Erwan Faou , Michel Mehrenberger
Numerische Mathematik, 2017, 135 (3), pp.769-801. ⟨10.1007/s00211-016-0816-z⟩
Article dans une revue hal-01206164v1
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Charge-conserving grid based methods for the Vlasov–Maxwell equations

Nicolas Crouseilles , Pierre Navaro , Eric Sonnendrücker
Comptes Rendus Mécanique, 2014, 342, pp.636 - 646. ⟨10.1016/j.crme.2014.06.012⟩
Article dans une revue hal-01090678v1
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Superconvergence of Strang splitting for NLS in $T^d$

Philippe Chartier , Florian Méhats , Mechthild Thalhammer , Yong Zhang
2014
Pré-publication, Document de travail hal-00956714v1
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Higher-order averaging, formal series and numerical integration III: error bounds

Philippe Chartier , Ander Murua , Jesus Maria Sanz-Serna
Foundations of Computational Mathematics, 2015, 15 (2), pp.591-612. ⟨10.1007/s10208-013-9175-7⟩
Article dans une revue hal-00922682v1
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Multi-revolution composition methods for highly oscillatory differential equations

Philippe Chartier , Joseba Makazaga , Ander Murua , Gilles Vilmart
Numerische Mathematik, 2014, 128 (1), pp.167-192. ⟨10.1007/s00211-013-0602-0⟩
Article dans une revue hal-00796581v2
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Optimized high-order splitting methods for some classes of parabolic equations

Sergio Blanes , Fernando Casas , Philippe Chartier , Ander Murua
Mathematics of Computation, 2013, 82 (283), pp.1559-1576. ⟨10.1090/S0025-5718-2012-02657-3⟩
Article dans une revue hal-00759579v1

Diffusion limit for the radiative transfer equation perturbed by a Wiener process

Arnaud Debussche , Sylvain de Moor , Julien Vovelle
Kinetic and Related Models , 2015, 8 (3), pp.467-492. ⟨10.3934/krm.2015.8.467⟩
Article dans une revue hal-01044419v1

Numerical methods for random and stochastic partial differential equations

Alexey Chernov , Arnaud Debussche , Fabio Nobile
Stochastics and Partial Differential Equations: Analysis and Computations, 2016, 4 (1), pp.1-2. ⟨10.1007/s40072-016-0073-2⟩
Article dans une revue hal-01297401v1
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Uniformly accurate numerical schemes for the nonlinear dirac equation in the nonrelativistic limit regime

Mohammed Lemou , Florian Méhats , Xiaofei Zhao
Communications in Mathematical Sciences, 2017, 15 (4), pp.1107-1128. ⟨10.4310/CMS.2017.v15.n4.a9⟩
Article dans une revue hal-01313976v2

The Micro-Macro Model for Transient Radiative Transfer Simulations

Maxime Roger , Nicolas Crouseilles , Pedro J Coelho
15th International Heat Transfer Conference, Aug 2014, Kyoto, Japan. ⟨10.1615/IHTC15.rad.009222⟩
Communication dans un congrès hal-01288439v1
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Ergodic BSDEs under weak dissipative assumptions

Arnaud Debussche , Ying Hu , Gianmario Tessitore
Stochastic Processes and their Applications, 2011, 121 (3), pp.407-426. ⟨10.1016/j.spa.2010.11.009⟩
Article dans une revue hal-00472146v1

The quantum Liouville-BGK equation and the moment problem

Florian Méhats , Olivier Pinaud
Journal of Differential Equations, 2017, 263 (7), pp.3737-3787. ⟨10.1016/j.jde.2017.05.004⟩
Article dans une revue hal-01255137v1
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High frequency oscillations of first eigenmodes in axisymmetric shells as the thickness tends to zero

Marie Chaussade-Beaudouin , Monique Dauge , Erwan Faou , Zohar Yosibash
Operator Theory Advances and Application, 258, Birkhäuser/Springer, pp.89-110, 2017, Recent Trends in Operator Theory and Partial Differential Equations - The Roland Duduchava Anniversary Volume, 978-3-319-47077-1. ⟨10.1007/978-3-319-47079-5_5⟩
Chapitre d'ouvrage hal-01278861v1
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Algebraic Structures of B-series

Philippe Chartier , Ernst Hairer , Gilles Vilmart
Foundations of Computational Mathematics, 2010, 10 (4), pp.407-420. ⟨10.1007/s10208-010-9065-1⟩
Article dans une revue inria-00598369v1

Analysis of models for quantum transport of electrons in graphene layers

Raymond El Hajj , Florian Méhats
Mathematical Models and Methods in Applied Sciences, 2014, 24 (11), pp.2287-2310. ⟨10.1142/S0218202514500213⟩
Article dans une revue hal-00850512v1
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Quasi-periodic solutions of the 2D Euler equation

Nicolas Crouseilles , Erwan Faou
Asymptotic Analysis, 2013, 81 (1), pp.31-34. ⟨10.3233/ASY-2012-1117⟩
Article dans une revue hal-00678848v1
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A Message-Passing and Adaptive Implementation of the Randomized Test-and-Set Object

Emmanuelle Anceaume , François Castella , Achour Mostefaoui , Bruno Sericola
2015
Pré-publication, Document de travail hal-01075650v3
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PIROCK: a swiss-knife partitioned implicit-explicit orthogonal Runge-Kutta Chebyshev integrator for stiff diffusion-advection-reaction problems with or without noise

Assyr Abdulle , Gilles Vilmart
Journal of Computational Physics, 2013, 242, pp.869-888. ⟨10.1016/j.jcp.2013.02.009⟩
Article dans une revue hal-00739757v2

Uniformly accurate multiscale time integrators for second order oscillatory differential equations with large initial data

Xiaofei Zhao
BIT Numerical Mathematics, 2017, 57 (3), pp.649 - 683. ⟨10.1007/s10543-017-0646-0⟩
Article dans une revue hal-01591333v1

Weak backward error analysis for Langevin process

Marie Kopec
BIT Numerical Mathematics, 2015, 55 (4), pp.1057-1103. ⟨10.1007/s10543-015-0546-0⟩
Article dans une revue hal-00905689v1
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Long time accuracy of Lie-Trotter splitting methods for Langevin dynamics

Assyr Abdulle , Gilles Vilmart , Konstantinos Zygalakis
SIAM Journal on Numerical Analysis, 2015, 53 (1), pp.1-16. ⟨10.1137/140962644⟩
Article dans une revue hal-00965354v2

Collective Electron Dynamics in Metallic and Semiconductor nanostructures

Giovanni Manfredi , Paul-Antoine Hervieux , Yue Yin , Nicolas Crouseilles
Carlo Massobrio and Hervé Bulou and Christine Goyhenex. Advances in the Atomic-Scale Modeling of Nanosystems and Nanostructured Materials, 795, springer, pp.1-44, 2010, Lecture Notes in Physics, 978-3-642-04649-0. ⟨10.1007/978-3-642-04650-6_1⟩
Chapitre d'ouvrage hal-00756053v1

Existence of densities for the 3D Navier-Stokes equations driven by Gaussian noise

Arnaud Debussche , Marco Romito
Probability Theory and Related Fields, 2014, 158 (3-4), pp.575-596. ⟨10.1007/s00440-013-0490-3⟩
Article dans une revue hal-00676454v1

Numerical study of a quantum-diffusive spin model for two-dimensional electron gases

Luigi Barletti , Florian Méhats , Claudia Negulescu , Stefan Possanner
Communications in Mathematical Sciences, 2015, 13 (6), pp.1347-1378. ⟨10.4310/CMS2015.v13.n6.a1⟩
Article dans une revue hal-01166320v1

A simple proof of the existence of adiabatic invariants for perturbed reversible problems

Philippe Chartier , Erwan Faou
Journal of Physics A: Mathematical and Theoretical, 2008, 41 (47), 7 p. ⟨10.1088/1751-8113/41/47/475204⟩
Article dans une revue istex hal-00686862v1
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Assemblathon 2: evaluating de novo methods of genome assembly in three vertebrate species

Keith Bradnam , Joseph Fass , Anton Alexandrov , Paul Baranay , Michael Bechner , et al.
GigaScience, 2013, 2 (1), pp.10. ⟨10.1186/2047-217X-2-10⟩
Article dans une revue hal-00868822v1
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Study of geometric integrators for differential equations

Gilles Vilmart
Mathematics [math]. Université Rennes 1; University of Geneva, 2008. English. ⟨NNT : ⟩
Thèse tel-00348112v1

Stroboscopic averaging of highly oscillatory nonlinear wave equations

Guillaume Leboucher
Mathematical Methods in the Applied Sciences, 2015, 38 (9), pp.1746-1766. ⟨10.1002/mma.3183⟩
Article dans une revue istex hal-01160869v1
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Long time behavior of Gross-Pitaevskii equation at positive temperature

Anne de Bouard , Arnaud Debussche , Reika Fukuizumi
SIAM Journal on Mathematical Analysis, 2018, 50 (6), pp.5887-5920. ⟨10.1137/17M1149195⟩
Article dans une revue hal-01579123v1
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Convergence of stochastic gene networks to hybrid piecewise deterministic processes

Alina Crudu , Arnaud Debussche , Aurélie Muller , Ovidiu Radulescu
The Annals of Applied Probability, 2012, 22 (5), pp.1822-1859. ⟨10.1214/11-AAP814⟩
Article dans une revue hal-00553482v1