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IPSO - 2012
IPSO - 2012




Project-Team Ipso
Members
Overall Objectives
Scientific Foundations
Application Domains
New Results
Partnerships and Cooperations
Dissemination
Bibliography




Project-Team Ipso
Members
Overall Objectives
Scientific Foundations
Application Domains
New Results
Partnerships and Cooperations
Dissemination
Bibliography


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Bibliography

Major publications by the team in recent years
  • 1G. Andreoiu, E. Faou.

    Complete asymptotics for shallow shells, in: Asymptotic analysis, 2001, vol. 25, p. 239-270.
  • 2F. Castella.

    From the von Neumann equation to the Quantum Boltzmann equation in a deterministic framework, in: J. Stat. Phys., 2001, vol. 104–1/2, p. 387–447.
  • 3F. Castella.

    Propagation of space moments in the Vlasov-Poisson Equation and further results, in: Ann. I.H.P., Anal. NonLin., 1999, vol. 16–4, p. 503–533.
  • 4P. Chartier, E. Faou, A. Murua.

    An algebraic approach to invariant preserving integators: the case of quadratic and Hamiltonian invariants., in: Numer. Math., 2006, vol. 103, no 4, p. 575-590.

    http://dx.doi.org/10.1007/s00211-006-0003-8
  • 5P. Chartier, A. Murua, J. M. Sanz-Serna.

    Higher-order averaging, formal series and numerical integration II: the quasi-periodic case, in: Foundations of Computational Mathematics, April 2012, vol. 12, no 4, p. 471-508. [ DOI : 10.1007/s10208-012-9118-8 ]

    http://hal.inria.fr/hal-00750601
  • 6N. Crouseilles, M. Mehrenberger, E. Sonnendrücker.

    Conservative semi-Lagrangian schemes for Vlasov equations, in: Journal of Computational Physics, 2010, p. 1927-1953.

    http://hal.archives-ouvertes.fr/hal-00363643
  • 7A. Debussche, Y. Tsutsumi.

    1D quintic nonlinear Schrödinger equation with white noise dispersion., in: Journal de Mathématiques Pures et Appliquées, 2011.

    http://dx.doi.org/10.1016/j.matpur.2011.02.002
  • 8E. Faou.

    Elasticity on a thin shell: Formal series solution, in: Asymptotic analysis, 2002, vol. 31, p. 317-361.
  • 9E. Faou.

    Geometric numerical integration and Schrödinger equations., Zurich Lectures in Advanced Mathematics. Zürich: European Mathematical Society (EMS). viii, 138 p. , 2012.

    http://dx.doi.org/10.4171/100
  • 10M. Lemou, F. Méhats, P. Raphaël.

    Orbital stability of spherical galactic models, in: Invent. Math., 2012, vol. 187, no 1, p. 145–194.

    http://dx.doi.org/10.1007/s00222-011-0332-9
Publications of the year

Articles in International Peer-Reviewed Journals

  • 11A. Abdulle, D. Cohen, G. Vilmart, K. Zygalakis.

    High weak order methods for stochastic differential equations based on modified equations, in: SIAM J. Sci. Comput., June 2012, vol. 34, no 3, p. 1800-1823. [ DOI : 10.1137/110846609 ]

    http://hal.archives-ouvertes.fr/hal-00746563
  • 12A. Abdulle, G. Vilmart.

    A priori error estimates for finite element methods with numerical quadrature for nonmonotone nonlinear elliptic problems, in: Numer. Math., July 2012, vol. 121, p. 397-431. [ DOI : 10.1007/s00211-011-0438-4 ]

    http://hal.archives-ouvertes.fr/hal-00746826
  • 13A. Abdulle, G. Vilmart.

    Analysis of the finite element heterogeneous multiscale method for nonmonotone elliptic homogenization problems, in: Math. Comp., September 2012, to appear in Math. Comp..

    http://hal.archives-ouvertes.fr/hal-00746811
  • 14A. Abdulle, G. Vilmart.

    Coupling heterogeneous multiscale FEM with Runge-Kutta methods for parabolic homogenization problems: a fully discrete space-time analysis, in: Math. Models Methods Appl. Sci., June 2012, vol. 22, 1250002 (40 pages) p. [ DOI : 10.1142/S0218202512500029 ]

    http://hal.archives-ouvertes.fr/hal-00746821
  • 15S. Albeverio, A. Debussche, L. Xu.

    Exponential mixing of the 3D stochastic Navier-Stokes equations driven by mildly degenerate noises, in: Applied Mathematics and Optimization, 2012, vol. 66, no 2, p. 273-308, 2010-21 2010-21. [ DOI : 10.1007/s00245-012-9172-2 ]

    http://hal.archives-ouvertes.fr/hal-00463793
  • 16E. Anceaume, F. Castella, R. Ludinard, B. Sericola.

    Markov Chains Competing for Transitions: Application to Large-Scale Distributed Systems, in: Methodology and Computing in Applied Probability., 2013, to appear.
  • 17E. Anceaume, F. Castella, B. Sericola.

    Analysis of a large number of Markov chains competing for transitions, in: Int. J. of Systems Science, 2012, vol. 1, p. 1-9.
  • 18E. Anceaume, F. Castella, B. Sericola.

    Analysis of a large number of Markov chains competing for transitions, in: International Journal of Systems Science, July 2012, 9 p. [ DOI : 10.1080/00207721.2012.704090 ]

    http://hal.inria.fr/hal-00736916
  • 19R. Carles, E. Faou.

    Energy cascades for NLS on T d , in: Discrete and Continuous Dynamical Systems, 2012, vol. 32, no 6, p. 2063-2077, 15 pages, 2 figures. [ DOI : 10.3934/dcds.2012.32.2063 ]

    http://hal.inria.fr/hal-00528792
  • 20F. Castella, E. Dumas.

    High frequency behavior of the Maxwell-Bloch mdel with relaxations: convergence to the Schrödinger-rate system, in: J. Hyp. Diff. Eq., 2012, vol. 9, p. 1-48.
  • 21P. Chartier, S. Blanes, F. Casas, A. Murua.

    Optimized high-order splitting methods for some classes of parabolic equations, in: Mathematics of Computation, July 2013.

    http://hal.inria.fr/hal-00759579
  • 22P. Chartier, A. Murua, J. M. Sanz-Serna.

    A formal series approach to averaging: exponentially small error estimates, in: Discrete and Continuous Dynamical Systems - Series A, 2012, vol. 32, no 9, p. 3009-3027. [ DOI : 10.3934/dcds.2012.32.3009 ]

    http://hal.inria.fr/hal-00686883
  • 23P. Chartier, A. Murua, J. M. Sanz-Serna.

    Higher-order averaging, formal series and numerical integration II: the quasi-periodic case, in: Foundations of Computational Mathematics, April 2012, vol. 12, no 4, p. 471-508. [ DOI : 10.1007/s10208-012-9118-8 ]

    http://hal.inria.fr/hal-00750601
  • 24A. Crestetto, N. Crouseilles, M. Lemou.

    Kinetic/fluid micro-macro numerical schemes for Vlasov-Poisson-BGK equation using particles, in: kinetic related models, 2013.

    http://hal.inria.fr/hal-00728875
  • 25N. Crouseilles, R. Ahmed, E. Sonnendrücker.

    An Isogeometric Analysis Approach for the study of the gyrokinetic quasi-neutrality equation, in: Journal of Computational Physics, January 2012, vol. 231, no 2, p. 373-393. [ DOI : 10.1016/j.jcp.2011.09.004 ]

    http://hal.inria.fr/inria-00584672
  • 26N. Crouseilles, E. Frenod, S. Hirstoaga, A. Mouton.

    Two-Scale Macro-Micro decomposition of the Vlasov equation with a strong magnetic field, in: Mathematical Models and Methods in Applied Sciences, November 2012, vol. 00, no 00, p. 1 –2.

    http://hal.archives-ouvertes.fr/hal-00638617
  • 27A. Crudu, A. Debussche, A. Muller, O. Radulescu.

    Convergence of stochastic gene networks to hybrid piecewise deterministic processes, in: Annals of Applied Probability, 2012, vol. 22, no 5, p. 1822-1859, Prépublication IECN 2011/3; IRMAR 2011/04 Prépublication IECN 2011/3; IRMAR 2011/04. [ DOI : 10.1214/11-AAP814 ]

    http://hal.archives-ouvertes.fr/hal-00553482
  • 28A. Debussche, E. Faou.

    Weak backward error analysis for SDEs, in: SIAM Journal on Numerical Analysis, 2012, vol. 50, no 3, p. 1735-1752. [ DOI : 10.1137/110831544 ]

    http://hal.archives-ouvertes.fr/hal-00589881
  • 29A. Debussche, N. Glatt-Holtz, R. Temam, M. Ziane.

    Global Existence and Regularity for the 3D Stochastic Primitive Equations of the Ocean and Atmosphere with Multiplicative White Noise, in: Nonlinearity, 2012, vol. 25, no 7, p. 2093-2118. [ DOI : 10.1088/0951-7715/25/7/2093 ]

    http://hal.archives-ouvertes.fr/hal-00605082
  • 30A. Debussche, J. Vovelle.

    Diffusion limit for a stochastic kinetic problem, in: Communications on Pure and Applied Analysis, 2012, vol. 11, no 6, p. 2305-2326. [ DOI : 10.3934/cpaa.2012.11.2305 ]

    http://hal.archives-ouvertes.fr/hal-00576610
  • 31M. Lemou, F. Méhats, P. Raphaël.

    Orbital stability of spherical galactic models, in: Invent. Math., 2012, vol. 187, no 1, p. 145–194.

    http://dx.doi.org/10.1007/s00222-011-0332-9

International Conferences with Proceedings

  • 32J.-P. Braeunig, N. Crouseilles, M. Mehrenberger, E. Sonnendrücker.

    Guiding-center simulations on curvilinear meshes using semi-Lagrangian conservative methods, in: Issue dedicated to the proceedings of the second edition of the Conference Numerical models for fusion, Porquerolles, France, April 2012, vol. 5, p. 271-282.

    http://hal.archives-ouvertes.fr/hal-00605870

Scientific Books (or Scientific Book chapters)

  • 33M. P. Calvo, P. Chartier, A. Murua, J. M. Sanz-Serna.

    A stroboscopic numerical method for highly oscillatory problems, in: Numerical analysis of multiscale computations: proceedings of a winter workshop at the Banff International Research Station 2009, E. Björn, R. Olof, T. Y.-H. R. (editors), Lecture Notes in Computational Science and Engeneering vol. 82, Springer, 2012, p. 71-85. [ DOI : 10.1007/978-3-642-21943-6 ]

    http://hal.inria.fr/hal-00686817
  • 34E. Faou.

    Geometric numerical integration and Schrödinger equations., Zurich Lectures in Advanced Mathematics. Zürich: European Mathematical Society (EMS). viii, 138 p. , 2012.

    http://dx.doi.org/10.4171/100

Internal Reports

  • 35F. Castella, P. Chartier, F. Méhats, A. Murua.

    Stroboscopic averaging for the nonlinear Schrödinger equation, September 2012.

    http://hal.inria.fr/hal-00732850
  • 36G. Latu, V. Grandgirard, J. Abiteboul, M. Bergot, N. Crouseilles, X. Garbet, P. Ghendrih, M. Mehrenberger, Y. Sarazin, H. Sellama, E. Sonnendrücker, D. Zarzoso.

    Accuracy of unperturbed motion of particles in a gyrokinetic semi-Lagrangian code, Inria, September 2012, no RR-8054, 17 p.

    http://hal.inria.fr/hal-00727118

Other Publications

  • 37A. Abdulle, G. Vilmart.

    PIROCK: a swiss-knife partitioned implicit-explicit orthogonal Runge-Kutta Chebyshev integrator for stiff diffusion-advection-reaction problems with or without noise, 2012.

    http://hal.inria.fr/hal-00739757
  • 38A. Abdulle, G. Vilmart, K. Zygalakis.

    Mean-square A-stable diagonally drift-implicit integrators of weak second order for stiff Itô stochastic differential equations, 2012, 12 pages.

    http://hal.inria.fr/hal-00739756
  • 39A. Abdulle, G. Vilmart, K. Zygalakis.

    Weak second order explicit stabilized methods for stiff stochastic differential equations, 2012, 20 pages.

    http://hal.inria.fr/hal-00739754
  • 40D. Bambusi, E. Faou, B. Grébert.

    Existence and stability of solitons for fully discrete approximations of the nonlinear Schrödinger equation, 2012, 2012-25 2012-25.

    http://hal.inria.fr/hal-00681730
  • 41C. Besse, R. Carles, F. Méhats.

    An asymptotic preserving scheme based on a new formulation for NLS in the semiclassical limit, November 2012, 34 pages, 31 (colored) figures MicroWave NT09 460489.

    http://hal.archives-ouvertes.fr/hal-00752011
  • 42A. Bouillard, E. Faou, M. Zavidovique.

    Fast Weak-Kam Integrators, 2012.

    http://hal.archives-ouvertes.fr/hal-00743462
  • 43F. Castella, A. Klak.

    Radiation condition at infinity for the high-frequency Helmholtz equation: optimality of a non-refocusing criterion.
  • 44F. Castella, S. Madec.

    Coexistence phenomena and global bifurcation structure in a chemostat-like model with species-dependent diffusion rates, to appear in J. Math. Bio..
  • 45N. Crouseilles, E. Faou.

    Quasi-periodic solutions of the 2D Euler equation, 2012, 2012-23 2012-23.

    http://hal.archives-ouvertes.fr/hal-00678848
  • 46N. Crouseilles, E. Faou, M. Mehrenberger.

    High order Runge-Kutta-Nyström splitting methods for the Vlasov-Poisson equation, 2011.

    http://hal.inria.fr/inria-00633934
  • 47N. Crouseilles, M. Giovanni.

    Asymptotic preserving schemes for the Wigner-Poisson-BGK equations in the diffusion limit, 2012.

    http://hal.inria.fr/hal-00748134
  • 48N. Crouseilles, M. Lemou, F. Méhats.

    Asymptotic preserving schemes for highly oscillatory kinetic equation, October 2012.

    http://hal.archives-ouvertes.fr/hal-00743077
  • 49N. Crouseilles, M. Mehrenberger, F. Vecil.

    A Discontinuous Galerkin semi-Lagrangian solver for the guiding-center problem, April 2012.

    http://hal.inria.fr/hal-00717155
  • 50A. Debussche, M. Romito.

    Existence of densities for the 3D Navier-Stokes equations driven by Gaussian noise, March 2012, 20 pages.

    http://hal.archives-ouvertes.fr/hal-00676454
  • 51E. Faou, F. Nobile, C. Vuillot.

    Sparse spectral approximations for computing polynomial functionals, 2012, 2012-57 2012-57.

    http://hal.inria.fr/hal-00718307
  • 52A. Klak, F. Castella.

    Radiation condition at infinity for the high-frequency Helmholtz equation: optimality of a non-refocusing criterion, 2012.

    http://hal.inria.fr/hal-00685845
  • 53M. Lemou, F. Méhats.

    Micro-macro schemes for kinetic equations including boundary layers, 2012.

    http://hal.archives-ouvertes.fr/hal-00751788
  • 54M. Lemou, F. Méhats, C. Rigault.

    Stable ground states and self-similar blow-up solutions for the gravitational Vlasov-Manev system, 2012.

    http://hal.archives-ouvertes.fr/hal-00487932
  • 55M. Roger, N. Crouseilles.

    A dynamic multi-scale model for transient radiative transfer calculations, 2013.

    http://hal.inria.fr/hal-00728874
References in notes
  • 56E. Hairer.

    Geometric integration of ordinary differential equations on manifolds, in: BIT, 2001, vol. 41, p. 996–1007.
  • 57E. Hairer, C. Lubich, G. Wanner.

    Geometric Numerical Integration. Structure-Preserving Algorithms for Ordinary Differential Equations, Second edition, Springer Series in Computational Mathematics 31, Springer, Berlin, 2006.
  • 58E. Hairer, G. Wanner.

    Solving Ordinary Differential Equations II. Stiff and Differential-Algebraic Problems, Springer Series in Computational Mathematics 14, 2, Springer-Verlag, Berlin, 1996.
  • 59C. Lubich.

    A variational splitting integrator for quantum molecular dynamics, in: Appl. Numer. Math., 2004, vol. 48, p. 355–368.
  • 60C. Lubich.

    On variational approximations in quantum molecular dynamics, in: Math.   Comp., 2009, to appear.
  • 61J. M. Sanz-Serna, M. P. Calvo.

    Numerical Hamiltonian Problems, Chapman & Hall, London, 1994.


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