titre

Numerical schemes for kinetic equations in the diffusion and anomalous diffusion limits. Part I: the case of heavy-tailed equilibrium

auteur

Nicolas Crouseilles, Hélène Hivert, Mohammed Lemou

article

SIAM Journal on Scientific Computing, 2016, 38 (2), pp.737-764

titre

Multi-scale methods for the solution of the radiative transfer equation

auteur

Pedro J Coelho, Nicolas Crouseilles, Pedro Pereira, Maxime Roger

article

Journal of Quantitative Spectroscopy and Radiative Transfer, 2016, 172, pp.36-49. ⟨10.1016/j.jqsrt.2015.10.001⟩

titre

Degenerate Parabolic Stochastic Partial Differential Equations: Quasilinear case

auteur

Arnaud Debussche, Martina Hofmanova, Julien Vovelle

article

Annals of Probability, 2016, 44 (3), pp.1916-1955. ⟨10.1214/15-AOP1013⟩

titre

The Schrödinger equation with spatial white noise potential

auteur

Arnaud Debussche, Hendrik Weber

article

2016

titre

Asymptotic Preserving scheme for a kinetic model describing incompressible fluids

auteur

Nicolas Crouseilles, Mohammed Lemou, S.V. Raghurama Rao, Ankit Ruhi, M. Sekhar

article

Kinetic and Related Models , 2016, 9, pp.51-74

titre

An averaging technique for transport equations

auteur

Philippe Chartier, Nicolas Crouseilles, Mohammed Lemou

article

2016

titre

An asymptotic preserving scheme for the relativistic Vlasov–Maxwell equations in the classical limit

auteur

Nicolas Crouseilles, Lukas Einkemmer, Erwan Faou

article

Computer Physics Communications, 2016, 209

titre

Geometric Numerical Integration

auteur

Erwan Faou, Ernst Hairer, Marlis Hochbruck, Christian Lubich

article

[Research Report] 18/2016, Mathematisches Forschungsinstitut Oberwolfach. 2016, pp.869 - 948

titre

Multiscale schemes for the BGK-Vlasov-Poisson system in the quasi-neutral and fluid limits. Stability analysis and first order schemes.

auteur

Nicolas Crouseilles, Giacomo Dimarco, Marie-Hélène Vignal

article

Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2016, 14 (1), pp.65-95. ⟨10.1137/140991558⟩

titre

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

auteur

Arnaud Debussche, Sylvain de Moor, Julien Vovelle

article

Asymptotic Analysis, 2016, 98 (1-2), pp.31-58. ⟨10.3233/ASY-161360⟩

titre

Solving highly-oscillatory NLS with SAM: numerical efficiency and geometric properties

auteur

Philippe Chartier, Norbert J. Mauser, Florian Méhats, Yong Zhang

article

Discrete and Continuous Dynamical Systems - Series S, 2016, 9 (5), pp.1327-1349. ⟨10.3934/dcdss.2016053⟩

titre

Landau damping in Sobolev spaces for the Vlasov-HMF model

auteur

Erwan Faou, Frédéric Rousset

article

Archive for Rational Mechanics and Analysis, 2016, 219 (2), pp.887-902. ⟨10.1007/s00205-015-0911-9⟩

titre

Asymptotic Preserving numerical schemes for multiscale parabolic problems

auteur

Nicolas Crouseilles, Mohammed Lemou, Gilles Vilmart

article

Comptes Rendus. Mathématique, 2016, 354 (3), pp.271-276. ⟨10.1016/j.crma.2015.11.010⟩

titre

Numerical schemes for kinetic equations in the anomalous diffusion limit. Part II: degenerate collision frequency.

auteur

Nicolas Crouseilles, Hélène Hivert, Mohammed Lemou

article

SIAM Journal on Scientific Computing, 2016, 38 (4)

titre

Study of a depressurisation process at low Mach number in a nuclear reactor core

auteur

Andrea Bondesan, Stéphane Dellacherie, Hélène Hivert, Jonathan Jung, Vanessa Lleras, Colin Mietka, Yohan Penel

article

ESAIM: Proceedings and Surveys, 2016, CEMRACS 2015: Coupling multi-physics models involving fluids, 55, pp.41-60. ⟨10.1051/proc/201655041⟩

titre

Dimension reduction for rotating Bose-Einstein condensates with anisotropic confinement

auteur

Florian Méhats, Christof Sparber

article

Discrete and Continuous Dynamical Systems - Series A, 2016, 36 (9), pp.5097-5118. ⟨10.3934/dcds.2016021⟩

titre

Global behavior of N competing species with strong diffusion: diffusion leads to exclusion

auteur

François Castella, Sten Madec, Yvan Lagadeuc

article

Applicable Analysis, 2016, 95 (2), pp.341-372. ⟨10.1080/00036811.2015.1004320⟩

titre

Mate Finding, Sexual Spore Production, and the Spread of Fungal Plant Parasites

auteur

Frédéric Marie Hamelin, François Castella, Valentin Doli, Benoit Marçais, Virginie Ravigné, Mark A. Lewis

article

Bulletin of Mathematical Biology, 2016, 78 (4), pp.695-712. ⟨10.1007/s11538-016-0157-1⟩

titre

Extended Rearrangement inequalities and applications to some quantitative stability results

auteur

Mohammed Lemou

article

Communications in Mathematical Physics, 2016, 348 (2), pp.695-727. ⟨10.1007/s00220-016-2750-4⟩

titre

Numerical methods for random and stochastic partial differential equations

auteur

Alexey Chernov, Arnaud Debussche, Fabio Nobile

article

Stochastics and Partial Differential Equations: Analysis and Computations, 2016, 4 (1), pp.1-2. ⟨10.1007/s40072-016-0073-2⟩

titre

Estimate for $P_tD$ for the stochastic Burgers equation

auteur

Giuseppe da Prato, Arnaud Debussche

article

Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2016, 52 (3), pp.1248-1258. ⟨10.1214/15-AIHP685⟩

titre

The weakly nonlinear large-box limit of the 2D cubic nonlinear Schrödinger equation

auteur

Erwan Faou, Pierre Germain, Zaher Hani

article

Journal of the American Mathematical Society, 2016, 29 (4), pp.915-982. ⟨10.1090/jams/845⟩

titre

The Interaction Picture method for solving the generalized nonlinear Schrödinger equation in optics

auteur

Stéphane Balac, Arnaud Fernandez, Fabrice Mahé, Florian Méhats, Rozenn Texier-Picard

article

ESAIM: Mathematical Modelling and Numerical Analysis, 2016, 50 (4), pp.945-964. ⟨10.1051/m2an/2015060⟩

titre

Fast Weak-Kam Integrators for separable Hamiltonian systems

auteur

Anne Bouillard, Erwan Faou, Maxime Zavidovique

article

Mathematics of Computation, 2016, 85 (297), pp.85-117

titre

Improved error estimates for splitting methods applied to highly-oscillatory nonlinear Schrödinger equations

auteur

Philippe Chartier, Florian Méhats, Mechthild Thalhammer, Yong Zhang

article

Mathematics of Computation, 2016, 85 (302), pp.2863-2885. ⟨10.1090/mcom/3088⟩