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Top Series in United States

Showing 1 - 2 of 2 results for “honghu liu”
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  • Approximation of Stochastic Invariant Manifolds

    Stochastic Manifolds for Nonlinear SPDEs I

    by Honghu Liu, Mickaël D. Chekroun, Shouhong Wang ...
    Series series Mathematics and Statistics (R0)
    This first volume is concerned with the analytic derivation of explicit formulas for the leading-order Taylor approximations of (local) stochastic invariant manifolds associated with a broad class of nonlinear stochastic partial differential equations. These approximations take the form of Lyapunov-Perron integrals, which are further characterized in Volume II as pullback limits associated with ... Read more

    $49.49 USD

  • Stochastic Parameterizing Manifolds and Non-Markovian Reduced Equations

    Stochastic Manifolds for Nonlinear SPDEs II

    by Mickaël D. Chekroun, Honghu Liu, Shouhong Wang ...
    Series series Mathematics and Statistics (R0)
    In this second volume, a general approach is developed to provide approximate parameterizations of the "small" scales by the "large" ones for a broad class of stochastic partial differential equations (SPDEs). This is accomplished via the concept of parameterizing manifolds (PMs), which are stochastic manifolds that improve, for a given realization of the noise, in mean square error the partial ... Read more

    $49.49 USD