56 citations · 122 across the 10 of their papers we have counts for
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An improved discrete least-squares/reduced-basis method for parameterized elliptic PDEs
Max Gunzburger, Michael Schneier, Clayton Webster +1
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-basi…
A Leray regularized ensemble-proper orthogonal decomposition method for parameterized convection-dominated flows
Max Gunzburger, Traian Iliescu, Michael Schneier
Partial differential equations (PDEs) are often dependent on input quantities which are inherently uncertain. To quantify this uncertainty, these PDEs must be solved over a large e…
A higher-order ensemble/proper orthogonal decomposition method for the nonstationary Navier-Stokes equations
Max Gunzburger, Nan Jiang, Michael Schneier
Partial differential equations (PDE) often involve parameters, such as viscosity or density. An analysis of the PDE may involve considering a large range of parameter values, as oc…
An efficient, partitioned ensemble algorithm for simulating ensembles of evolutionary MHD flows at low magnetic Reynolds number
Nan Jiang, Michael Schneier
Studying the propagation of uncertainties in a nonlinear dynamical system usually involves generating a set of samples in the stochastic parameter space and then repeated simulatio…