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Yvon Maday

  1. Reduced basis techniques for stochastic problems.

    Пнд, 04/05/2010 - 15:01 — SomNambul
    Authors: Yvon Maday, Sébastien Boyaval, Claude Le Bris, Tony Lelièvre, Ngoc Cuong Nguyen, Anthony T. Patera
    Subjects: Numerical Analysis
    Abstract

    We report here on the recent application of a now classical general reduction
    technique, the Reduced-Basis approach initiated in [C. Prud'homme, D. Rovas, K.
    Veroy, Y. Maday, A. T. Patera, and G. Turinici. Reliable real-time solution of
    parametrized partial differential equations: Reduced-basis output bounds
    methods. Journal of Fluids Engineering, 124(1):7080, 2002.], to the specific
    context of differential equations with random coefficients. After an elementary
    presentation of the approach, we review two contributions of the authors: [S.
    Boyaval, C. Le Bris, Y. Maday, N.C.

  2. Numerical analysis of the planewave discretization of orbital-free and Kohn-Sham models Part I: The Thomas-Fermi-von Weizacker model.

    Ср, 09/09/2009 - 22:08 — SomNambul
    Authors: Eric Cancès, Rachida Chakir, Yvon Maday
    Subjects: Numerical Analysis
    Abstract

    We provide {\it a priori} error estimates for the spectral and pseudospectral
    Fourier (also called planewave) discretizations of the periodic
    Thomas-Fermi-von Weizs\"acker (TFW) model and of the Kohn-Sham model, within
    the local density approximation (LDA). These models allow to compute
    approximations of the ground state energy and density of molecular systems in
    the condensed phase. The TFW model is stricly convex with respect to the
    electronic density, and allows for a comprehensive analysis (Part I).

  3. Numerical analysis of the planewave discretization of orbital-free and Kohn-Sham models Part I: The Thomas-Fermi-von Weizacker model.

    Ср, 09/09/2009 - 22:08 — SomNambul
    Authors: Eric Cancès, Rachida Chakir, Yvon Maday
    Subjects: Numerical Analysis
    Abstract

    We provide {\it a priori} error estimates for the spectral and pseudospectral
    Fourier (also called planewave) discretizations of the periodic
    Thomas-Fermi-von Weizs\"acker (TFW) model and of the Kohn-Sham model, within
    the local density approximation (LDA). These models allow to compute
    approximations of the ground state energy and density of molecular systems in
    the condensed phase. The TFW model is stricly convex with respect to the
    electronic density, and allows for a comprehensive analysis (Part I).

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