421 citations · 550 across the 12 of their papers we have counts for
12 papers
Resource-Constrained Optimal Experimental Design
Anthony M. DeGennaro, Francis J. Alexander
The goal of this paper is to make Optimal Experimental Design (OED) computationally feasible for problems involving significant computational expense. We focus exclusively on the M…
Optimal Bounds on Nonlinear Partial Differential Equations in Model Certification, Validation, and Experimental Design
M. McKerns, F. J. Alexander, K. S. Hickmann +2
We demonstrate that the recently developed Optimal Uncertainty Quantification (OUQ) theory, combined with recent software enabling fast global solutions of constrained non-convex o…
A Control Variate Approach for Improving Efficiency of Ensemble Monte Carlo
T. Borogovac, F. J. Alexander, P. Vakili
In this paper we present a new approach to control variates for improving computational efficiency of Ensemble Monte Carlo. We present the approach using simulation of paths of a t…
Equation-free implementation of statistical moment closures
Francis J. Alexander, Gregory Johnson, Gregory L. Eyink +1
We present a general numerical scheme for the practical implementation of statistical moment closures suitable for modeling complex, large-scale, nonlinear systems. Building on rec…
Statistical Mechanics of Histories: A Cluster Monte Carlo Algorithm
Natali Gulbahce, Francis J. Alexander, Gregory Johnson
We present an efficient computational approach to sample the histories of nonlinear stochastic processes. This framework builds upon recent work on casting a -dimensional stocha…
Fourier Acceleration of Langevin Molecular Dynamics
Francis J. Alexander, Bruce M. Boghosian, Richard C. Brower +1
Fourier acceleration has been successfully applied to the simulation of lattice field theories for more than a decade. In this paper, we extend the method to the dynamics of discre…