514 citations · 1.7k across the 51 of their papers we have counts for
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Least Squares Shadowing Sensitivity Analysis of a Modified Kuramoto-Sivashinsky Equation
Patrick J. Blonigan, Qiqi Wang
Computational methods for sensitivity analysis are invaluable tools for scientists and engineers investigating a wide range of physical phenomena. However, many of these methods fa…
Probability density adjoint for sensitivity analysis of the Mean of Chaos
Patrick Blonigan, Qiqi Wang
Sensitivity analysis, especially adjoint based sensitivity analysis, is a powerful tool for engineering design which allows for the efficient computation of sensitivities with resp…
Multigrid-in-time for sensitivity analysis of chaotic dynamical systems
Patrick Blonigan, Qiqi Wang
The following paper discusses the application of a multigrid-in-time scheme to Least Squares Shadowing (LSS), a novel sensitivity analysis method for chaotic dynamical systems. Whi…
Convergence of the least squares shadowing method for computing derivative of ergodic averages
Qiqi Wang
For a parameterized hyperbolic system , the derivative of an ergodic average to the p…
Active subspace methods in theory and practice: applications to kriging surfaces
Paul G. Constantine, Eric Dow, Qiqi Wang
Many multivariate functions in engineering models vary primarily along a few directions in the space of input parameters. When these directions correspond to coordinate directions,…