514 citations · 1.7k across the 51 of their papers we have counts for
9 papers · 1 filter
Scheduled Relaxation Jacobi schemes for non-elliptic partial differential equations
Mohammad Shafaet Islam, Qiqi Wang
The Scheduled Relaxation Jacobi (SRJ) method is a linear solver algorithm which greatly improves the convergence of the Jacobi iteration through the use of judiciously chosen relax…
Differentiating densities on smooth manifolds
Adam A. Sliwiak, Qiqi Wang
Lebesgue integration of derivatives of strongly-oscillatory functions is a recurring challenge in computational science and engineering. Integration by parts is an effective remedy…
A data driven heuristic for rapid convergence of Scheduled Relaxation Jacobi schemes
Mohammad Shafaet Islam, Qiqi Wang
The Scheduled Relaxation Jacobi (SRJ) method is a viable candidate as a high performance linear solver for elliptic partial differential equations (PDEs). The method greatly improv…
Decomposition of stencil update formula into atomic stages
Qiqi Wang
In parallel solution of partial differential equations, a complex stencil update formula that accesses multiple layers of neighboring grid points sometimes must be decomposed into…
The swept rule for breaking the latency barrier in time advancing two-dimensional PDEs
Maitham Makki Alhubail, Qiqi Wang, John Williams
This article describes a method to accelerate parallel, explicit time integration of two-dimensional unsteady PDEs. The method is motivated by our observation that latency, not ban…
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…
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,…
Input Subspace Detection for Dimension Reduction in High Dimensional Approximation
Paul G. Constantine, Qiqi Wang
This manuscript is superseded by Constantine, Dow, and Wang's "Active Subspaces in Theory and Practice: Applications to Kriging Surfaces" [SIAM J. of Sci. Comput., 36 (2014), pp. A…
Residual Minimizing Model Interpolation for Parameterized Nonlinear Dynamical Systems
Paul G. Constantine, Qiqi Wang
We present a method for approximating the solution of a parameterized, nonlinear dynamical system using an affine combination of solutions computed at other points in the input par…