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    Article

    A Multifidelity Monte Carlo Method for Realistic Computational Budgets

    A method for the multifidelity Monte Carlo (MFMC) estimation of statistical quantities is proposed which is applicable to computational budgets of any size. Based on a sequence of optimization problems each wi...

    Anthony Gruber, Max Gunzburger, Lili Ju, Zhu Wang in Journal of Scientific Computing (2022)

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    An Improved Discrete Least-Squares/Reduced-Basis Method for Parameterized Elliptic PDEs

    It is shown that the computational efficiency of the discrete least-squares (DLS) approximation of solutions of stochastic elliptic PDEs is improved by incorporating a reduced-basis method into the DLS framewo...

    Max Gunzburger, Michael Schneier, Clayton Webster in Journal of Scientific Computing (2019)

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    Article

    Analysis of Nonlinear Spectral Eddy-Viscosity Models of Turbulence

    Fluid turbulence is commonly modeled by the Navier-Stokes equations with a large Reynolds number. However, direct numerical simulations are not possible in practice, so that turbulence modeling is introduced. ...

    Max Gunzburger, Eunjung Lee, Yuki Saka, Catalin Trenchea in Journal of Scientific Computing (2010)