27 citations · 62 across the 20 of their papers we have counts for
5 papers · 1 filter
Optimized sparse approximate inverse smoothers for solving Laplacian linear systems
Yunhui He, Jun Liu, Xiang-Sheng Wang
In this paper we propose and analyze new efficient sparse approximate inverse (SPAI) smoothers for solving the two-dimensional (2D) and three-dimensional (3D) Laplacian linear syst…
A Direct Parallel-in-Time Quasi-Boundary Value Method for Inverse Space-Dependent Source Problems
Yi Jiang, Jun Liu, Xiang-Sheng Wang
Inverse source problems arise often in real-world applications, such as localizing unknown groundwater contaminant sources. Being different from Tikhonov regularization, the quasi-…
A well-conditioned direct PinT algorithm for first-and second-order evolutionary equations
Jun Liu, Xiang-Sheng Wang, Shu-Lin Wu +1
In this paper, we propose a direct parallel-in-time (PinT) algorithm for time-dependent problems with first- or second-order derivative. We use a second-order boundary value method…
Convergence rate for a Gauss collocation method applied to constrained optimal control
William W. Hager, Jun Liu, Subhashree Mohapatra +2
A local convergence rate is established for a Gauss orthogonal collocation method applied to optimal control problems with control constraints. If the Hamiltonian possesses a stron…
Convergence Rate for a Radau hp Collocation Method Applied to Constrained Optimal Control
William W. Hager, Hongyan Hou, Subhashree Mohapatra +1
For unconstrained control problems, a local convergence rate is established for an -method based on collocation at the Radau quadrature points in each mesh interval of the disc…