titre

A formal series approach to averaging: exponentially small error estimates

auteur

Philippe Chartier, Ander Murua, Jesus Maria Sanz-Serna

article

Discrete and Continuous Dynamical Systems - Series A, 2012, 32 (9), ⟨10.3934/dcds.2012.32.3009⟩

titre

Weak backward error analysis for SDEs

auteur

Arnaud Debussche, Erwan Faou

article

SIAM Journal on Numerical Analysis, 2012, 50 (3), pp.1735-1752. ⟨10.1137/110831544⟩

titre

An Isogeometric Analysis Approach for the study of the gyrokinetic quasi-neutrality equation

auteur

Nicolas Crouseilles, Ahmed Ratnani, Eric Sonnendrücker

article

Journal of Computational Physics, 2012, 231 (2), pp.373-393. ⟨10.1016/j.jcp.2011.09.004⟩

titre

Higher-order averaging, formal series and numerical integration II: the quasi-periodic case

auteur

Philippe Chartier, Ander Murua, Jesus Maria Sanz-Serna

article

Foundations of Computational Mathematics, 2012, 12 (4), pp.471-508. ⟨10.1007/s10208-012-9118-8⟩

titre

High frequency behavior of the Maxwell-Bloch model with relaxation: convergence to the Schrödinger-rate system

auteur

François Castella, Eric Dumas

article

Journal of Hyperbolic Differential Equations, 2012, 9 (3), pp.355-401. ⟨10.1142/S0219891612500129⟩

titre

Finite Volume Schemes for Vlasov

auteur

Nicolas Crouseilles, Pierre Glanc, Michel Mehrenberger, Christophe Steiner

article

ESAIM: Proceedings, 2012, CEMRACS'11: Multiscale Coupling of Complex Models in Scientific Computing, 38, pp.275-297. ⟨10.1051/proc/201238015⟩

titre

Kinetic/fluid micro-macro numerical schemes for Vlasov-Poisson-BGK equation using particles

auteur

Anaïs Crestetto, Nicolas Crouseilles, Mohammed Lemou

article

Kinetic and Related Models , 2012, 5 (4), pp.787-816. ⟨10.3934/krm.2012.5.787⟩

titre

A priori error estimates for finite element methods with numerical quadrature for nonmonotone nonlinear elliptic problems

auteur

Assyr Abdulle, Gilles Vilmart

article

Numerische Mathematik, 2012, 121, pp.397-431. ⟨10.1007/s00211-011-0438-4⟩

titre

Micro-macro schemes for kinetic equations including boundary layers

auteur

Mohammed Lemou, Florian Méhats

article

SIAM Journal on Scientific Computing, 2012, 34 (6), pp.734-760

titre

Orbital stability of spherical galactic models

auteur

Mohammed Lemou, Florian Méhats, Pierre Raphaël

article

Inventiones Mathematicae, 2012, 187 (1), pp.145-194. ⟨10.1007/s00222-011-0332-9⟩

titre

Energy cascades for NLS on $\T^d$

auteur

Rémi Carles, Erwan Faou

article

Discrete and Continuous Dynamical Systems - Series S, 2012, 32 (6), pp.2063-2077. ⟨10.3934/dcds.2012.32.2063⟩

titre

Diffusion limit for a stochastic kinetic problem

auteur

Arnaud Debussche, Julien Vovelle

article

Communications on Pure and Applied Mathematics, 2012, 11 (6), pp.2305-2326. ⟨10.3934/cpaa.2012.11.2305⟩

titre

Berk-Breizman and diocotron instability testcases

auteur

Michel Mehrenberger, Nicolas Crouseilles, Virginie Grandgirard, Sever Adrian Hirstoaga, Eric Madaule, Jérôme Pétri, Eric Sonnendrücker

article

AMVV Algorithm and Model Verification and Validation, Nov 2012, East-Lansing, United States

titre

Stable ground states and self-similar blow-up solutions for the gravitational Vlasov-Manev system

auteur

Mohammed Lemou, Florian Méhats, Cyril Rigault

article

SIAM Journal on Mathematical Analysis, 2012, 44 (6), pp.3928-3968

titre

A Stroboscopic Numerical Method for Highly Oscillatory Problems

auteur

Maripaz Calvo, Philippe Chartier, Ander Murua, Jesus Maria Sanz-Serna

article

Engquist Björn, Runborg Olof, Tsai Yen-Hsi R. Numerical analysis of multiscale computations: proceedings of a winter workshop at the Banff International Research Station 2009, 82, Springer, pp.71-85, 2012, 978-3-642-21942-9. ⟨10.1007/978-3-642-21943-6⟩

titre

Global Existence and Regularity for the 3D Stochastic Primitive Equations of the Ocean and Atmosphere with Multiplicative White Noise

auteur

Arnaud Debussche, Nathan Glatt-Holtz, Roger Temam, Mohammed Ziane

article

Nonlinearity, 2012, 25 (7), pp.2093-2118. ⟨10.1088/0951-7715/25/7/2093⟩

titre

Convergence of stochastic gene networks to hybrid piecewise deterministic processes

auteur

Alina Crudu, Arnaud Debussche, Aurélie Muller, Ovidiu Radulescu

article

The Annals of Applied Probability, 2012, 22 (5), pp.1822-1859. ⟨10.1214/11-AAP814⟩

titre

High weak order methods for stochastic differential equations based on modified equations

auteur

Assyr Abdulle, David Cohen, Gilles Vilmart, Konstantinos Zygalakis

article

SIAM Journal on Scientific Computing, 2012, 34 (3), pp.1800-1823. ⟨10.1137/110846609⟩

titre

Geometric numerical integration and Schrödinger equations

auteur

Erwan Faou

article

European Mathematical Society, pp.xiii-138, 2012, Zurich Lectures in Advanced Mathematics, 978-3-03719-100-2

titre

Exponential mixing of the 3D stochastic Navier-Stokes equations driven by mildly degenerate noises

auteur

Sergio Albeverio, Arnaud Debussche, Lihu Xu

article

Applied Mathematics and Optimization, 2012, 66 (2), pp.273-308. ⟨10.1007/s00245-012-9172-2⟩

titre

A Discontinuous Galerkin semi-Lagrangian solver for the guiding-center problem

auteur

Nicolas Crouseilles, Michel Mehrenberger, Francesco Vecil

article

2012

titre

Sparse spectral approximations for computing polynomial functionals

auteur

Erwan Faou, Fabio Nobile, Christophe Vuillot

article

2012

titre

Coupling heterogeneous multiscale FEM with Runge-Kutta methods for parabolic homogenization problems: a fully discrete space-time analysis

auteur

Assyr Abdulle, Gilles Vilmart

article

Mathematical Models and Methods in Applied Sciences, 2012, 22 (6), 40 p. ⟨10.1142/S0218202512500029⟩

titre

Accuracy of unperturbed motion of particles in a gyrokinetic semi-Lagrangian code

auteur

Guillaume Latu, Virginie Grandgirard, Jérémie Abiteboul, Morgane Bergot, Nicolas Crouseilles, Xavier Garbet, Philippe Ghendrih, Michel Mehrenberger, Yanick Sarazin, Hocine Sellama, Eric Sonnendrücker, David Zarzoso

article

[Research Report] RR-8054, INRIA. 2012, pp.17